diff --git "a/data/dm_maths/full_data_1/1314_11255.jsonl" "b/data/dm_maths/full_data_1/1314_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1314_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Does 29 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4809951392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99685202 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 22, 31, 40, 49, 58?\n\"Answer: 9*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -208702*c + 1878350. Give p(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 2243 + 2243.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -15698*c - 40*c**2 + 15694*c + 2 - 2 as y + o*c + m*c**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 107.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8170.28 to the nearest one hundred.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2170 - 2175. Which is the nearest to 0.2? (a) -1\/5 (b) -3 (c) 2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11304 + 112?\nAnswer: 11420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124\/3 + 41. Which is the second biggest value? (a) -0.8 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 321325?\nAnswer: 321330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143586 and 6615.\nAnswer: 35178570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 10*g - 12. Suppose 49*a - 58*a = 45. Let n(r) = -r**2 - 7*r + 8. What is a*j(z) - 7*n(z)?\nAnswer: 2*z**2 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11448*n + 773. Is 37 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 8*o**2 - 7*o + 20. Let f be z(-9). Factor 5*n**2 - 15*n**2 + 18*n**2 + 8*n - 2*n**4 - f*n**3.\nAnswer: -2*n*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/7 - 934*n**3\/7 + 15502*n**2 - 1180874*n\/7 + 1073292\/7 = 0. What is n?\nAnswer: 1, 11, 173, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023131102 (base 4) to base 15.\nAnswer: -6189e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1083533063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*j**2 + 4\/5 + 2\/5*j = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334735415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t + 9*t + 10*t + 14*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (12\/56)\/(9\/12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t*t**(-12))\/t)\/t*t*t**(-14\/9)*t)\/(t**(-2\/31))**(-29) assuming t is positive.\nAnswer: t**(-3467\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7))\/((416\/1274)\/(4\/14)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-8*i + 20*i + 106*i).\nAnswer: -236*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 b, and 1 w when four letters picked without replacement from {w: 1, b: 3, h: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/3) - 123\/(-82)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1481\/4 + 368. Let s = -1755.6 - -1756. What is the closest to 2 in k, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 - 16*u - 5. Let t be q(8). Let w(d) = -d**3 - 5*d**2 - 2*d - 1. Determine w(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-4 - (9 + -25)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12640 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 3\/4, 3 in ascending order.\nAnswer: -51, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-4))\/(2\/16). Let o(d) = -11*d**3 - 2*d**2 + d + 1. Let n be o(-1). Let s = n - t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + o. Let s(b) = -100*b**2 - b - 2. Give -s(l) - 3*z(l).\nAnswer: 106*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g - 1. Let j(x) = 4*x - 1. Suppose -8*o = -10*o + 8. Suppose -4*t = i + 7 - o, 0 = 3*t. Determine i*k(n) + 4*j(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(30\/11))**(-2\/13))**(2\/13))**(-5) assuming v is positive.\nAnswer: v**(600\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*s - 1670898*c + 21717264*s with respect to c.\nAnswer: -4*s - 1670898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:02 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 4. Let z(d) = -d**2 - 2294*d. What is z(f(r))?\nAnswer: -16*r**4 - 9144*r**2 + 9160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - u**2 - 3*u - 2. Let q be n(-3). Let t be q\/(-14) + 2\/7. Suppose i - t = -0*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -723 (b) -2\/15 (c) 0.3 (d) -4 (e) 0.1 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 88. Calculate the greatest common divisor of 110 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47223756 divided by 9612.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/40)\/((-4)\/(-9050)). Let u = 2937 + k. Round u to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 16 + c + 14 + 0. Let i be b(0). Let j = 60 - i. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 12 (c) -3\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384157077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 6. Let h be k\/5 + 1308\/15. What is the highest common factor of 66 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7 + 4 - 9*n - 7*n + 13*n. Let m(a) = -8*a - 8. Give -4*m(s) + 11*o(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 623107985 + 22.\nAnswer: 623108007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*r - 289 = 571, 5*o - 853 = -2*r. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.47 - -0.53. Let u = m - 33.5. Let y = 0.7 + -0.3. What is the second smallest value in y, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb76 (base 16) to base 15.\nAnswer: -23986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.6319 rounded to 1 dp?\nAnswer: -252.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121647 and 611761.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -729? (a) -3 (b) 4 (c) -4 (d) -104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 54*l**3 - 36*l. Let d(y) = -y**3 + y. Determine 36*d(c) + h(c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 1396 + 194 + 1013 + 192 - 2*k.\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1192950565 and -0.31.\nAnswer: 1192950564.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 193*b - 6955. Let s be w(36). Let x(r) = r**3 + 6*r**2 - 13*r - 10. Give x(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/sqrt(4)) - sqrt(18)*6.\nAnswer: -17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from lfllflllflfffllf?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 12950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + 21?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 12*x**2 + 21*x + 23. Calculate v(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-5)*m**5)\/(m*m\/(m**3*m)*m**(-2\/7)))**(-2\/43))**(4\/17) assuming m is positive.\nAnswer: m**(-128\/5117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -0.58732074?\nAnswer: 12.41267926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/4 - v**3\/3 + v**2\/2 - 8*v. Calculate b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1913*j - 482*j - 479*j - 475*j - 25*j**2 - 477*j.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3687 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54721, -109459, -164211, -218983, -273781, -328611, -383479?\n\"Answer: -m**3 - m**2 - 54728*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30934 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42630 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5 + (3 - 5 + 4)*(-4 + 3 + 2) - 3 - 1 + 3)*(2322 - 2322 - 39*m)*(-51*m**2 + 9*m**2 - 3*m**2).\nAnswer: 3510*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/52235082 and 47\/9.\nAnswer: 52235082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Let x be (-9 + 19)*u\/(-4). Let v be 176\/80 - (-9)\/5. Sort -7, x, 2, v.\nAnswer: -7, x, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2486 - 2483. Put b, -1, 0, -54 in ascending order.\nAnswer: -54, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2863\/32 + -19209\/224. What is j in t*j - 12\/7 + 10\/7*j**2 = 0?\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*s + 128, 2569*y = 2574*y + s - 34 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 21 = 4*g + 5*n, -g + n = 3. Let x be (0\/(g - -2))\/(-1). Solve x*d = -5*p - 2*d + 7, -d - 19 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:58 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 652\/(-48)*3 - 2\/8. Let b(i) = -i - 43. Let t be b(v). Suppose -5*r = -j + 10 + 4, 4*j + 19 = -5*r. Put r, -1, t in descending order.\nAnswer: -1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -14. Let f be 1 + 1*-1 + (57 - -86). Let r = f - 107. Calculate the remainder when r is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 2, w: 8, g: 2, y: 3, i: 1}. What is prob of sequence hwj?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 149161518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Which is the nearest to -0.1? (a) -0.045 (b) -6 (c) 0.09 (d) -2.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 18. Let o be i(13). Suppose 6 + 19 = o*l. Suppose l*u = 12 + 43. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1*p**(-2\/3))\/(p**(1\/3)*p)**(1\/47))**(-8\/7) assuming p is positive.\nAnswer: p**(-1472\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 212948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263554.7*0.2.\nAnswer: -52710.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -q - 21, -q + 2*s - 78 = 2*q. Let f be -2*((-51)\/q + -2). What is the nearest to 2 in f, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298410 divided by 87\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458 or -115?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrnl when four letters picked without replacement from {l: 3, s: 7, b: 1, n: 3, w: 3, r: 1}?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -1908, -4419, -7944, -12477, -18012, -24543, -32064?\nAnswer: -40569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.767017 micrograms in milligrams?\nAnswer: 0.009767017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 165, -40, 0 in descending order.\nAnswer: 165, 0, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3697*d**2 + 2 + 0 + 3698*d**2 - 2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.31. Let o = -9.69 - w. Which is greater: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -51, 9, -7 in decreasing order.\nAnswer: 9, 0, -7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.1 + -44. Which is the third biggest value? (a) 0.4 (b) -9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/1575 - 223\/1575. What is the biggest value in 4, 11, -2, k?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/17*2712\/(-24408)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - u + 3 - 38 = 0, 6 = -2*u. Let y(i) = i**2 - 2*i + 3. Let t be y(6). Calculate the common denominator of -9\/2 and t\/(-2)*w\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 104 = 2*n - n, 5*n + 180 = 4*s. Suppose s = 6*c - c. What is the least common multiple of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k - 36 = -35*k. Let l be 109\/3 - 8\/k. What is the highest common divisor of 74 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -20, 23, 104, 235, 428, 695, 1048?\n\"Answer: 2*v**3 + v**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 1.15. Let q = y + -2.8. Which is the nearest to -1? (a) 5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5783283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76194169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73337371\/18 or -4074298?\nAnswer: -73337371\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4901? (a) -1.053 (b) -1 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245965 is divided by 14460.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.354*-0.14\nAnswer: -0.04956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6541122733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/3 + x**4\/3 + 2*x**3 - 4*x**2\/3 - 8*x\/3 = 0. What is x?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-588*n**5 + 29*n**5 + 195*n**5)*(6 - 4 - 3).\nAnswer: 364*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2725, 5421, 8119, 10819?\n\"Answer: z**2 + 2693*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*h**2 - 6 - 886*h - 84*h**2 - 3264*h.\nAnswer: 80*h**2 - 4150*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:09 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 901100 divided by 4\nAnswer: 225275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8381 - 12103. Does 58 divide -1 - (3\/12 + j\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 1 - 0) + 37 + -33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a**2 + 20*a + 164. What is n(0)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -3*r - 1, 2*r - 3*h = 4. Sort 6, 3, 1, r.\nAnswer: 1, r, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 310944961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3447*f - 433 + 677 - 244 to the form u + b*f and give b.\nAnswer: 3447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 4*s**2 - 20 - 83*s + 81*s to d*s + w + p*s**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 448. Suppose h = -7*h + m. What is the least common multiple of 74\/4 + (-18)\/36 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*i + 84 - 67*i + 30 + 5 + 3*i**2 - 2*i**3 to the form l*i**3 + s*i + j*i**2 + o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggxv when four letters picked without replacement from {v: 1, x: 1, g: 2, d: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62267*j**2 + 586*j - 21 wrt j?\nAnswer: -124534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305 - 167. Let w = 267 + q. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*b + 25400 = 364*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11132 + 11140. Suppose -33 = -3*d - 0. Sort z, d, -5.\nAnswer: -5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 53. Suppose -2*v = 3*o - 979, -3*v - 1024 + 2465 = -o. Suppose 2*z - 5*z - p*b + 356 = 0, 2*b + v = 4*z. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146052 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose -3*k = g*k - 1955. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 73*c + 25. Let p(x) = 37*x + 12. Let y(s) = -4*n(s) + 10*p(s). Let q be y(-11). Is 7\/14*8*q\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146280981 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-40) + (-648)\/864. Which is the closest to -0.1? (a) q (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 plus -2073?\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 240, 256, 280, 312, 352, 400?\n\"Answer: 4*a**2 - 4*a + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/2 - b**3 + 3*b**2\/2 + 4*b + 97. Give i(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990*b = 991*b - c, 4*c - 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222191546.\nAnswer: 2, 23, 41, 117811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190537231 and 539329.\nAnswer: 1333760617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(11) - (0 + sqrt(11))))**2 + (sqrt(77)*-3)\/sqrt(7).\nAnswer: -3*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y - 2*y**2)*(18 - 48 - 216*y**2 + 208*y**2 + (3 - 4 - 1)*(y**2 - y + y)) as c*y**2 + g*y + b*y**3 + x + p*y**4 and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*n - n**4 + 28*n + 3*n**2 + 6 + n**3 + 0*n**2 to the form z*n**4 + m*n**3 + f*n**2 + o + g*n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 967\/2 + -484. Let u = -11 + 15. Let v = u + -4.5. Which is the nearest to h? (a) 0.2 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 233, 170, -41, -394, -883, -1502, -2245?\n\"Answer: d**3 - 80*d**2 + 170*d + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 - 91930*r + 2112781225 = 0. Calculate r.\nAnswer: 45965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -493 + -2.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 143 + 12\/(12\/3). Suppose 0 = -2*y - 3*y + 3*k + h, k + 2 = 0. Calculate the greatest common divisor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 3. Suppose r - 147 = b. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 1000 + 608 = -p for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849115387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - n - 2*c = -8, c - 14 = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 957 and 2714631222.\nAnswer: 2714632179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 26, -11, -74, -169, -302, -479?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 705677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 778*i**3 - 533*i**3 - 470*i**3 + (0 + 2*i + 0)*(i - i + 2*i**2).\nAnswer: -221*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 113026 = -70*h + 65*h, 5*d = 35. List the prime factors of h.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 89*f**2 - 2*f - 2 + 0 - 33*f**2. What is the remainder when j(-1) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 116 = -108. Let w be (m - 1 - 0) + 5. Solve 2*j - 9 + 1 = w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 147289984 = -x, 10*x - 589159984 = 14*x - 4*b. Round x to the nearest one million.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g**2 + 18*g - 182. Let o(w) = -4*w**2 - 8*w + 88. Give -3*d(n) - 7*o(n).\nAnswer: -2*n**2 + 2*n - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2864 and 35\/22912?\nAnswer: 22912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 39*g - 2. Let p be h(-39). Put 1, 7, p, -3 in descending order.\nAnswer: 7, 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - -2) - (-241 - -223)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.1264 millilitres to litres.\nAnswer: 0.2281264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291.551 + 28.449. Let q be 6\/21 + 8\/(-28). Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147*u**3 - 841*u**2 - 59*u - 2097237 wrt u?\nAnswer: -441*u**2 - 1682*u - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 22*c - 38. Let z be q(20). What is y in -6*y**3 - 8*y**z + 5*y - 30*y + 13*y - 13*y**2 + 3*y**4 = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455, 457, 459, 461?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 + -4 + 3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:31 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 2. Let y be l(11). Let w be (-3)\/(1 - (-32)\/y). Suppose w = 2*i - 39. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10865.97 rounded to the nearest one hundred?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/252*15*33\/30\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.015 (b) -0.71 (c) -1\/2 (d) -0.4 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 + -121. Let v be 584 + 1\/(-3)*(-15)\/5. Calculate the greatest common factor of f and v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g + 4. Let a be x(-4). Suppose -2*z - 12 = -28. What is the highest common factor of z and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*u - 1 - 7, 16 = -3*h + 4*u. Solve 4*p - 16 = -h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/5832 and -52\/729.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 28*z + 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d - 4*q + 12, 2*d - 5*q = -6. Suppose -48 = -d*n - 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: What is 12667 divided by 2?\nAnswer: 12667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 39. Let k = n - -10. Let d = k - -74. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/4))\/n)\/n*n**2*n**(1\/4)\/n**(-4) assuming n is positive.\nAnswer: n**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17972, 35942, 53912?\n\"Answer: 17970*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17804 divided by -54\nAnswer: 8902\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 409520417 and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {m: 9, w: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -0.4, -0.3, -33, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13718 = 1003*h - 138*h + 58942 for h.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14701 + 0.44701. Let z be -1*(1 + 0)*5. Let q be 2\/z - (-72)\/130. Sort q, r, 0.1.\nAnswer: 0.1, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-261))\/(8\/(-54)*417\/556)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/150*(-15)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2058)\/(-140) + 6\/20. Suppose -k = -s - 10. Solve -5*v - 13 = -2*v - 2*r, v = s*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = -20*w - 374 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 804336 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.4 in -1\/4, 0.58, -7\/3, -2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 60 in decreasing order.\nAnswer: 60, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1. Let u(p) = 32*p**2 + 5*p - 11. Let j(b) = -102*b**2 - 16*b + 32. Let h(m) = 5*j(m) + 16*u(m). Determine h(a) - 2*w(a).\nAnswer: 2*a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11344110 + 1123?\nAnswer: -11342543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:57 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -1.3. Let i = 303\/2 + -147. Let g = i - 65\/14. Which is the nearest to f? (a) g (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/10 - n**4\/6 - n**3\/2 - 3*n**2\/2 + 10*n. Let x(o) = 3*o**3 - 2*o**2 - 4*o - 4. Give -4*l(y) + 3*x(y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10205622131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 2 t when four letters picked without replacement from dqdqivqvtqiqdjqtij.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -70. Suppose -17 = 2*l - 11, 5*n - w*l = 830. Let y = n + -67. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -602.7 - -52799\nAnswer: 52196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 620.2431 weeks?\nAnswer: 375123026880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let p = -2664 - -2664. Let c(x) be the third derivative of 0 - 17\/60*x**5 + 0*x**4 + 11*x**2 + p*x + 0*x**3. What is c(t(s))?\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2038*k - 192 = 2041*k, -9*w + 580 = -5*k for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -680*v + 665*v + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 - -300. Solve -5*z - 3*x - f = 0, -x + 1 + 4 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703684297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/2327 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 1. Suppose 3*g - 18 = 3*c, -c + 2*g + 30 = -5*c. Let r(q) = -13*q + 4. Give c*j(p) + 2*r(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*g = 7*o - 5, -o + g = -3. Suppose -3*h - 14 + 88 = 5*b, -3*b + 48 = o*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 + 5238*y**2 + 114873*y + 631136 = 0. What is y?\nAnswer: -5216, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 1 - 1 + (0*v**5 - 3*v**5 + 2*v**5)*(-3 + 7 - 1) - 63*v**5 + 250*v**5 + 75*v**5.\nAnswer: 260*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.71936s in nanoseconds?\nAnswer: 65719360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138271461 to the power of 1\/2, to the nearest integer?\nAnswer: 33738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 6, 0.4, -1\/38?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s**2 + s - 2. Let d = 21 - 23. Calculate the remainder when x(d) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10375 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.00533396 * 46\nAnswer: 0.24536216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.4. Let x = 1.1 + -1. Let o = h - x. Round o to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 29*d - 29*d + (3*d - 2*d + d)*(-2*d + 2*d + 2*d) + (-2*d + 5*d - 2*d)*(-4*d - 2*d + 4*d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t**(-10))\/(t**(-1\/5)\/t**3) assuming t is positive.\nAnswer: t**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 166. What is the remainder when u is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 + 2*j**4\/3 + j**3\/6 - 5*j**2\/2 - 2*j. Let n(x) = 2*x**3 - 21*x**2 + 25*x + 26. Let m be n(9). Give f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3 + 5. Let d(y) = -k*y + 2*y**3 + 2*y - 5*y**3. Let r(j) = -4*j**3. Let a = 61 + -56. Determine a*r(u) - 7*d(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479549959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 261088110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - k + 1. Suppose -23 = -2*q - 3*s, 9 + 2 = 2*q - s. Let u = -3 + q. Calculate the remainder when z(2) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 627 - 55 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136960 and 129728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29203318 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*u**2 - 37*u**2 - 325 - 3 + 161*u**2 + 42*u**2 wrt u?\nAnswer: 436*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 19314454*d - 57943360\/3.\nAnswer: -2*(d - 28971680)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (-9 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 22*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l - 1. Suppose -38 + 11 = m + 5*w, -5 = w. Let f(i) = -7*i - 1. Calculate the remainder when p(-3) is divided by f(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = 3*a, 2 + 7 = -a + 5*w. Suppose -a*k - k - 203 = 0. Let m = -23 - k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 101 - 17 = 0. Let w(g) = 2*g**2 + 34*g + 46. What are the prime factors of w(j)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/25 - (-12406054)\/(-3802720). Let h = y + -2\/23767. What is the common denominator of -37\/18 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14707 = -24*b + 11669. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:21 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.95 - 1.05. Let p = 5 + 2.8. Let h = p + n. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*q + 55, 146*w - 148*w - 5*q - 40 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10230 = -5*z - 545*a + 540*a, 0 = 2*a - 6. Is z a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290553.\nAnswer: 3, 96851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j + 16. Let s(x) = -x + 1. Let w(a) = 2*a - 1. Let l(r) = 3*s(r) + 2*w(r). Let f(i) = b(i) - 5*l(i). What are the prime factors of f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 + 4*j - 16. Let l be (-1)\/6 - (-344)\/48. Let p be z(l). Solve 5 + 4 = 3*c + 5*i, 4*c - 5*i = p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.077 - -1.223. Let j = 2.5 - b. Let u = j - 0.9. What is the nearest to -0.1 in 2\/9, -32, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 443800 and 133560?\nAnswer: 211692600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - 6*sqrt(5)*-1 - 1*sqrt(45) - (sqrt(5) + 2 + -2 - sqrt(5))*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2 + 2724*v + 16380 = 0?\nAnswer: -6, 2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/82717352 and -29\/10.\nAnswer: 413586760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = g - 3*g, 4*m = -g + 24. Is -4 - ((-20)\/30)\/(m\/11493) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 18. Let a be v(4). Let m(b) = b**3 + b**2 - 2*b + 2. What is m(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*a - 1820*a = -881*a - 8200 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-396)*20*(18\/5)\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 339 - -437. Let q = -76 + s. Let w = 463 + q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 444. Calculate m(-10).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-1)\/(-9)). Suppose -2*c = -3*y + 20, -4*y = -c + m*c - 65. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f + 70. Give w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143693047, 287386095, 431079143, 574772191, 718465239, 862158287?\nAnswer: 1005851335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1*-6)**2 + (sqrt(228) + sqrt(228)*-4)\/sqrt(12) + ((2 + 0 + sqrt(684) + sqrt(684))*2)**2.\nAnswer: 189*sqrt(19) + 11644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 102.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-252)\/(-49) + -5) - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 1 + -4 - (-16 + -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 - 212. Which is greater: -4\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9652 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19875, -18031, -16187?\nAnswer: -14343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/13 and 25\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.04124309 rounded to 2 dps?\nAnswer: -6.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7888741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190563*l - 189845*l - 36618 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-484 - (-5 + 0))\/(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w**10)\/w)\/w**(2\/21))\/(w**(2\/3))**45)**13 assuming w is positive.\nAnswer: w**(-5213\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 361335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4758, -2250, 1934, 7794, 15330, 24542?\nAnswer: 35430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4052058461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15374 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or -31818.68?\nAnswer: -31818.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*p = -2*w + 145, w + 4*p - 40 = 0. Suppose -3*c - 2*d = -679, 6*c = -22*d + 26*d + 1390. What is the remainder when c is divided by w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 1 = -5*a, -t - 92 + 97 = 4*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.204 in -1, 413, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:27 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - -6 - (7 - (11 + -6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y - 848 - 44 = -132 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 2*l + 6*l - 2*l)*(13 + l + 7 - 2) to the form i*l + d + z*l**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 88?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -541 - -541. Solve g = p - w + 1, 3*p - w - 11 = 8*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 11. Let s be o(6). Let g be -1 + (5 - 2 - s). Factor 8\/3*r**2 + 2\/3*r**g + 10\/3*r + 4\/3.\nAnswer: 2*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 136. Suppose d - 1 = 7*a. Calculate the least common multiple of a and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x. Let n(c) be the second derivative of -5*c**4\/12 - c**3\/3 - 4*c. Let k = -35 + 21. Give k*t(m) - 6*n(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -326152 - -4?\nAnswer: -326146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 677276 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: Convert 408 (base 11) to base 10.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*40\/(-6). Suppose -40 - 9 = -7*f. Let m = a - f. Sort 4, m, 5 in ascending order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/12 - (1 - 6). Is (-333)\/t*26\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let x(j) be the third derivative of -j**5\/30 + 7*j**2. What is x(q(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + i + 36. Suppose 169*t + 813 = 1882 + 2311. What is the smallest common multiple of t and o(0)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -6\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(414\/(-253)) - 14\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3868 - -3853. Sort -16, c, -4, -5 in decreasing order.\nAnswer: -4, -5, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 5545*m**3\/3 + 2243*m - 3067. What is the derivative of l(k) wrt k?\nAnswer: 11090*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**26)**14\/(j**(-25))**(2\/23) assuming j is positive.\nAnswer: j**(-8000\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -307504 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 6*x**2 - 12*x + 23*x**3 + x - 8*x + 24*x.\nAnswer: 23*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 - -5?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 - q**2 - 2*q. Let a be z(-2). Let t = a + -22. Suppose -2*g + 260 = t*g. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1.1. Let f = 33.7 + -34. Is b greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -1 + (-4 - -6). Let b be (-469)\/(-28) - 6\/8. Suppose 2*v + 4*d = -5 - 3, 4*v + 2*d - 2 = 0. Solve -v*c + b = -2*z, f = -2*z + 3*c + 2 - 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, 10, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 36. Let s(u) = u + 1. Determine -j(d) - 2*s(d).\nAnswer: -5*d + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-640)\/1300*-4.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b + 17*b + 4*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 8*b**2 - 2 + 2*b**2 to the form p*b**2 + h + a*b and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.534 + 10.424. Let b = 0.29 - i. Round b to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**5\/30 + d**4\/12 - 2*d**2 - 3. Let t(n) be the second derivative of w(n). What is h in t(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/6681 and 26\/1275.\nAnswer: 167025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.357 less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451\/21 - 72\/756 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/6)*a**(-6))\/(a**0)**(8\/13)*(a*a\/(a*a**0*a)*a**(-1\/6)*a)**(10\/3) assuming a is positive.\nAnswer: a**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2850, -203, 3?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 13*r**2 - 13*r - 11. Give z(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72108 (base 12) in base 16?\nAnswer: -24518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 55*a + 56. Calculate h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6876 divided by 9\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*b - 0. What is the highest common factor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 + -1.4. Let a = -120 - -93. Let n = 24 + a. Is n >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (256 + 4*q - 131 - 123 + 6*q + 3*q - 4*q + (-3*q - q + 6*q)*(-4 + 4 + 2))*(2*q**2 - 3*q**2 + 2*q**2) to the form b*q**2 + k*q**3 + s + j*q and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by -1?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 73256950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/44064 and 31\/1896.\nAnswer: 3481056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**3\/3 + 3*k + 1. Let g(w) = 3*w**2 - 7. Let c(d) = 3*g(d) + 7*t(d). Let s(y) = -3*y - y + 5*y. Give s(c(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*b + 165, 0 = -3*j + 6*b - 2*b + 193. Suppose -o = 4*s - 119, 5*s - 204 = -5*o - j. Calculate the remainder when 178 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h + 3*y = 41*h - 6, 2*h + 3*y - 6 = 0. Let o(p) = 68*p**3 + 13*p**2 + 13. Let v(j) = 17*j**3 + 3*j**2 + 3. Give h*o(t) + 26*v(t).\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 - 211. Suppose 0 = s*n - 29*n - 855. List the prime factors of n.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314230321 (base 5) in base 6?\nAnswer: 44150223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37302?\nAnswer: 2, 3, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(711\/(-99) - 16\/(-88))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110394, 220972, 331736, 442692, 553846, 665204, 776772, 888556?\n\"Answer: w**3 + 87*w**2 + 110310*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 17*f**2 + 308*f - 5. Calculate d(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/8 + 185*r**2\/4 + 1103*r\/8 + 367\/4.\nAnswer: (r + 1)*(r + 2)*(r + 367)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662\/(-132) - 3072\/(-2816)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 40. Let o = h + 20. Which is bigger: o or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122870 is divided by 3723.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 50 = 4*c. Suppose -25 = -5*h + x, -3*x = -h + 7 - 2. Calculate the smallest common multiple of c and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, -1.1, -1236?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g. Let v(t) = t. Let k(u) = -2*l(u) + 7*v(u). Let q(b) = 7*b**2 - 5. Let w(x) = -x**2 + 1. Let s(o) = -q(o) - 5*w(o). What is k(s(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 3. Suppose 2*s = 5*g - 16, s + 0*s + 18 = 5*g. Let q be j(s). Let w(x) = 9 - 2 - 11*x - 11*x + 21*x. Determine w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/5, -5, 0.2, 3\/2, -1\/2, -938, -2\/9?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i - 2. Let o(r) = -r**2 + 12*r - 9. Let p be o(11). Let h be s(p). Does h = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50405347.760000201 - -50405345.23. Let k = -2.53 - j. What is k rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqbqqqqqqq. What is prob of picking 1 b and 2 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 y when four letters picked without replacement from {s: 6, y: 2, x: 9}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/6219, -1\/28, 1 in increasing order.\nAnswer: -1\/28, 2\/6219, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32474 is divided by 8086.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 144\/15 + (-4)\/(-10). Put -1, z, -2 in decreasing order.\nAnswer: z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 + -330. What is the nearest to o in 3, -1\/3, 3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5549.4 + -5549. Which is the biggest value? (a) s (b) -5 (c) 25.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106306280*w**5 - 19745*w**2 + 70*w + 32?\nAnswer: -6378376800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33903 divided by 3.\nAnswer: 11301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**3 + 5*a**2 - 5*a - 4. Let r(z) = -z**2 + 8*z - 23. Let h be r(4). Let u(m) = -16*m**3 - 7*m**2 + 7*m + 6. Calculate h*o(p) - 5*u(p).\nAnswer: 3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:07 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*c + 3*w - 47, 59 = 5*c - w. Calculate the highest common factor of 77 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4 - 2178*n**3 + 608986*n**2 - 8681142*n + 8074332 = 0. Calculate n.\nAnswer: 1, 14, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/7 + (-168)\/294?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513939890 a multiple of 1098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 8*b**2 + 18*b - 14. Let t be l(-10). Calculate the highest common divisor of 618 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 6363 (b) -4\/7 (c) -0.22 (d) -1\/5 (e) 3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22571, 22569, 22567, 22565, 22563?\nAnswer: 22561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 + d + 8. Let x be u(-8). What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397 + 701. What is the greatest common divisor of b and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + l = 6*l + 80, -5 - 1 = -2*l for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137.4 - -0.9.\nAnswer: 138.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*k**4 + 39*k**2 + 2 wrt k.\nAnswer: -2064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 1080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/770 and 8\/77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 29. Let o(h) = -4*h - 36. Let p be o(g). Suppose p = d + y - 702, d - 2*d - 2*y = -703. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.0022 + 5. Let v = -0.006 - w. What is v rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3646 - -3649. Let a be (1\/2)\/(1\/6). Let c(x) = 212*x - 207*x - 1 + p*x**2 - 2*x**3 + x**a. Give c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.181, 1, -0.3 in decreasing order.\nAnswer: 1, 0.181, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 323, 358, 421, 518, 655?\n\"Answer: z**3 + 8*z**2 + 4*z + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 - (1 + -1). Let y be (2\/18)\/((1\/10)\/(384\/320)). Which is the nearest to 0? (a) o (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 256, 144, -3 in descending order.\nAnswer: 256, 144, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3010496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(84\/105))\/1. Put 2, -1, -270, -3, o in ascending order.\nAnswer: -270, -3, -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 127, 132, 139, 148, 159, 172, 187?\n\"Answer: b**2 + 2*b + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21536, 1\/3, 0, -0.4, -2\/11, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)\/((s\/s**4)\/s)*s**(-9)\/s**0*(s**(1\/3)\/(s**(-3)\/s))\/(s**(-2))**(-41) assuming s is positive.\nAnswer: s**(-995\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64227 + 4?\nAnswer: 64232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -49. Which is the closest to 2? (a) s (b) 1\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 4*v - 9. What is u(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*48\/(-40) + 0 + -1. Solve r*i - 1\/5*i**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) - 44\/(-16). What is the derivative of -8 - 5*u**4 + 74*u**3 + 7*u - 148*u**a + 74*u**3 wrt u?\nAnswer: -20*u**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26627, -3, -5, 0, 135.\nAnswer: -5, -3, 0, 135, 26627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 + 11*z - 30 - z - 4*z + 6*z + (0*z + 0*z - 2*z)*(-2 + 1 + 3) - 4*z + 0*z + 0*z - z - 1 + 1.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.22 + -0.78. Suppose 3 = -p - 0*p, p = 2*z - 9. Which is the nearest to o? (a) 0.1 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 10. Let d be j(-11). Let n(t) = 6*t**2 + 2*t - 1. Let m be n(d). Let b(x) = x**2 - 4*x + 3. What are the prime factors of b(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w. Let x(j) = -82*j - 2. What is x(y(g))?\nAnswer: -410*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2\/31, -3.\nAnswer: -3, -0.6, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 350, 3\/40, 0?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5670, 45578, 153908, 364872, 712682, 1231550?\nAnswer: 1955688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 40*y + 37*y - 7 - 2*y**2. Let v be i(5). Suppose 0 = 2*f - 5*p - 2, 5*p + 8 = v*f - 0*p. Solve 0 = -a + 2*t + 6, 4*a = f*t - t + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 3. Let t be (-12)\/(0 + -3) + -2. Let c be a(t). Suppose -c*j + 8*j = -360. Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*b + 22 = 0, i - 14*b + 18*b = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 277 + -9b95?\nAnswer: -991e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by 958.\nAnswer: 99\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/(122\/305)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -386, -1413, -3412, -6707?\nAnswer: -11622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*k, -3*u = -7*u + 5*k + 25. What is the nearest to 1\/2 in 2, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - 3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 5*f + 14778*k - 84 = 14782*k, -5*f + 2*k = -18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(-2 + 4*(sqrt(1584) + sqrt(1584) + 1 + -2 - (sqrt(1584) + 1 + sqrt(1584) + 3))) + -1)**2.\nAnswer: 436921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072 and 7511.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 677813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00238005 to 5 decimal places.\nAnswer: 0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**3 - 5*y + 5. Let x(g) = -9*g**3 + 5*g + 2*g - 4*g**3 - 7. Let k = 25 + -20. What is k*x(s) + 7*r(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 + 5*r - 8. Let v be i(3). Let q = 37 - v. Suppose q*f - 80 = 26*f. Calculate the remainder when 199 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4.4. Let n = -0.14 + 8.14. Let j = n + -7. What is the nearest to j in -1\/4, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 18*i**2 + 94*i - 179. Let m be f(3). Let j = 2.12 + -2.3. Which is the third biggest value? (a) m (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73.12137 nanometers?\nAnswer: 0.000007312137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (83 - 9) - -18\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4874 or 4882?\nAnswer: 4874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 489, -23, -14474 in descending order.\nAnswer: 489, -23, -14474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnvxvxnxmxrvvnvxxmm. What is prob of sequence tn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + 0.06. Let v = 3.99 - 4. Let j = -0.19 + v. Which is greater: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -41?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 46275?\nAnswer: 46270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - v - 2. Let i be o(4). Let l = 112 - i. Solve 3*x = -k - 0*k + 12, -3*k = -x - l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 8) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m + 8 = 0. What is the tens digit of 4 - (m - 5) - (-378 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-8)\/560 - (-62)\/20. Let o be 1 - 4\/2 - 0. Let a be (-1 + -1)\/(o\/2). Solve 2*g + 26 = -a*p, -f*g - p + 0*p - 14 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(171)*-4)\/(sqrt(324) - sqrt(324)*-1))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 12. Let g = s + -2. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-3)\/(-3) + 1). Suppose 3*r - y*w - 15 = 0, 3*w = 2 - 11. Suppose 4*g = -t - 6, -r*t + 3*g = -6*t + 2. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.1 + -22. Let p be 1 + -3 + 0 - -7. What is the nearest to h in -4, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -49.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*j - 2, 3*q + 7 = 5*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2827281 months in decades?\nAnswer: 0.0023560675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 499071*n + 141477360.\nAnswer: -3*(n - 283)*(n + 166640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2942 times -3.948\nAnswer: 11615.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/132 and -125\/2088.\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hufhhhhayy. What is prob of sequence uf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 2. Let d be m(7). Let s be -5933366 + (-8)\/d*6. Let y = s + 9433362. Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, e: 1, c: 3, f: 4, k: 1, o: 4}. What is prob of sequence cff?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:17 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/76948 and 9\/28.\nAnswer: 538636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.22, -1\/3 in decreasing order.\nAnswer: 1.22, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 610728*b + 1221433*b - 610727*b.\nAnswer: -22*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4 - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.206308.\nAnswer: -1.03154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156)*4*3 - sqrt(156)))\/(sqrt(108)\/sqrt(9)*1))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1942, 7820, 17630, 31378, 49070, 70712, 96310, 125870?\n\"Answer: u**3 + 1960*u**2 - 9*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 2*n**2 + 10)*(-7 + 1 + 1) - 4*n + 4*n - 2*n**2 + n**2 + 2*n**2 - n**2 + n**2 + 1 - 1 + (5*n - 2*n - 2*n)*(0 + n + 0) + 0*n**2 + 3*n**2 - 2*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2787276790 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 114411211 (base 5) in base 13?\nAnswer: 160b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 38 (c) -3 (d) -196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**37)**(-21)*(w*w**(-1)*w*w**(-2))**(-2\/11) assuming w is positive.\nAnswer: w**(17096\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/8135 and 59\/628022.\nAnswer: 3140110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351368?\nAnswer: 2, 167, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 37 = 5*v + 72, -5*k = 3*v - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24*q - 2*q**3 + 19*q + q**3 - 6 - 4*q**2. Suppose 5*h + 22 = -3*i, -2*h - 27*i + 24*i = 7. Is 11 a factor of z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966 and 49128.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170662 divided by 2.\nAnswer: -85331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:56 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (-1 - -12))*14*(-2)\/16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/(p\/p**6)*p)\/p)\/p)\/(p\/p**7))\/(p**(-4\/5)*p)**(-3\/7))**20)**(2\/111) assuming p is positive.\nAnswer: p**(3104\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -18. Let w = -5 + r. What is the units digit of w\/3*(0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 181?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.174361 litres in millilitres?\nAnswer: 8174.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/24 - c**5\/60 - 7*c**2. Let y(w) = w**2 - 4*w + 4. Let l be y(3). Suppose -2*n + n - l = 0. What is x(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1821411*a**2*l**2 + 2713*a*l**2 - 6*a*l - 2*a wrt a.\nAnswer: 3642822*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 557.2141401 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 55 + 77)*(17 - 17 + a).\nAnswer: 207*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1786*o - 5262*o + 1736*o to b + i*o and give i.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 6:29 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4907045094750*o + 4907045094750*o - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 592 = 3*j, -j = -4*j + 4*b + 617. Suppose 3*w - 2*r = -322, -178*w + 176*w + 4*r = 204. Let y = j + w. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s + 3. Calculate the remainder when u(8) is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b**2 - 4*b**2 - b**2)*(b - 3*b - 2*b) + (5*b + b - 5*b)*(-2 + 2 - 3*b**2) as x*b**3 + d*b + o*b**2 + s and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 483306994 to the power of 1\/2, to the nearest integer?\nAnswer: 21984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -60. Does 22 divide n - (-597)\/(2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 12*k - 7*k. Let r = -33 - k. Let u(a) = 3*a - 10. Let w be u(7). Solve -2*m + r*c + 17 = -3*m, -w = 3*m + c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -964, -2318, -4214, -6652, -9632, -13154?\nAnswer: -17218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -302008.\nAnswer: 1\/75502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, n: 7}. Give prob of picking 2 n.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/4 + 2*y**3 - y**2\/2 + 5*y + 9. Let o(z) = 4*z - 3. Let v be o(2). What is the units digit of r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-24))\/((-195)\/120).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 0*s**2 + 4*s**4 + 92 - s**2 - 93 - 2*s**3 as h*s**4 + l*s**2 + z*s**3 + o + x*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 21290440 to the nearest 100000.\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2 + -2 - sqrt(42)\/sqrt(54)) + (-2 + sqrt(14)\/sqrt(2) + sqrt(7))*-3 + 4)*-4.\nAnswer: -40 + 64*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1008)\/(-64)*7\/(7\/44)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 minus -1618274.74598?\nAnswer: 1618275.12598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - 1.12. Let m = -0.16 - k. Which is the third smallest value? (a) -1\/2 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798319781.\nAnswer: 7, 31, 3678893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) - (-1)\/1. Suppose -p = -4 + b. List the prime factors of (p\/(-6))\/(2\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*d - 4*g, d - 2*g = 2*g + 24. Suppose -209*s - d = -217*s. Let t(k) = k**2 + 5*k + 3. Let c be t(-5). Solve -a + c = -s*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 17495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34627, 278703, 941205, 2231347, 4358343?\n\"Answer: 34869*s**3 - s**2 - 4*s - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118722298 to the power of 1\/2, to the nearest integer?\nAnswer: 33447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 969174043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - -1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 313*y + 1887.\nAnswer: -(y - 6)*(y + 1258)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150.2966 - 0.2134. Round i to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -93. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11918 and -1.5?\nAnswer: 0.17877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49570 by 9914.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 16 = 6. Let p = -13 + 22. Let n = p + -6. Calculate the remainder when d is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 48 = 0, 95*s - 72 = -3*l + 96*s for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12292705 is divided by 701.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -2*a + 1\/20*a**4 + 0*a**3 + 0*a**2 + 3\/100*a**5 + 0. Factor j(u).\nAnswer: 3*u**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5353*a + 321*a + 1481*a - 1304*a + 3277*a as j + h*a and give h.\nAnswer: 9128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose u = f - 3*u - 1, 2*u = -2*f + 22. Let n be 15\/f - (-2)\/6. Solve b*t = -n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 33. What is c(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 809261 - 809256.50253. Let d = 4.5 - x. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 7:55 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**18)\/l)**(-2\/53)\/(l*l**19\/l)**9 assuming l is positive.\nAnswer: l**(-9099\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 13*q**2 - 18*q - 31. What are the prime factors of i(-13)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 6*t - 29, -79*x - 86*x = -170*x + t - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 9*a + 13*a - 630 = -3*a for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 3*y)*(0 - 1 + 0)*(-4 - 6 + 4)*(-5 + 3 + 4).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285*x + 19*x + 16*x)*(3 - 1 - 1)*(x - 3 + 3).\nAnswer: 320*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -655\nAnswer: -4585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0.24 (c) -856 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k + 9, -4*r + 219 = -5*k. Suppose -r*d = -47*d - 60. Calculate the greatest common factor of d and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 5*p**2 - p - 2. Let z(q) = -1 - 69*q**3 - 2*q**2 - 72*q**3 + 142*q**3. What is -2*m(x) + 5*z(x)?\nAnswer: x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 29421?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -10 - -2) + -27 + 32 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 - 315*x + 39. Let n be v(-45). Calculate the highest common factor of n and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((744260\/(-11))\/(-20))\/1. Calculate the highest common factor of r and 3184.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 17*i - 105 = 0. What is the remainder when 9*(6 + 6\/(-2)) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115\/3 + -38. Let u = 2.05 - 2. Let k = u - 0.05. What is the third biggest value in 4\/9, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8712 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -104251208.77 to the nearest 100000.\nAnswer: -104300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -29*n**2 + 48*n**2 - 2*n**2. Determine u(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 + 3 + (197 - 160) + -1. Solve -p*m + 44 = -27*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618613382?\nAnswer: 2, 7, 11, 2843, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 4, 2\/17, 88, 5\/2, -17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 7*p + 6 - 2 - 3. Let t be g(-7). Put 4, 0, t in decreasing order.\nAnswer: 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/3)\/5)\/((-8)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 5*d - 15. Let n be v(5). Let g be n\/(-7) + 0 + 10\/(-70). Suppose -g*r + 7724 = 2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + ((-12)\/3)\/1. Suppose -a*s + 115 = -5. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-28)\/(3920\/(-406))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3384 and 845442.\nAnswer: 158943096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 7:02 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21250 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15748716 to the nearest integer?\nAnswer: 3968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/14 + 7*w**4\/12 + 5*w. What is the third derivative of k(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1096322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2. Let k(i) = 3*i - 3. Let t(c) = -3*k(c) + 5*m(c). Let s(a) = a**3 - 8*a**2 + 5*a + 13. Let w be s(7). Determine t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 58752147?\nAnswer: 58752147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12*(-12)\/12)\/(1587\/184)\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31344 = 64*p + 589*p for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12291, -49207, -110745, -196905, -307687?\nAnswer: -443091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(-1 + 10\/(-16))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273\/9*(6 - 3)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.847 to two decimal places.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3281, 3278, 3275, 3272, 3269?\nAnswer: 3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g = -101*g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -48 (b) 0.1 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*q + 4 = 0, 5*q - 10 = -s + 1. Suppose -3*f + 6 = 0, -4*t + 3 = -5*f + s. Is 9 a factor of (39 + 0)\/(t - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2174 - -2174. Let g = -15 + 47. Solve w = -f - 2*r + 12, 0*r + g = 3*f + 5*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -0.4. What is the nearest to -0.1 in 4, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21775031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348 = -5*b + 383 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/9 + 280*j**2\/3 + 2702*j - 8940 = 0.\nAnswer: -30, 3, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/9)\/((-122)\/(-366)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 13*d - 19. Let l be q(-11). Let b be l - 0 - (-678)\/6. Suppose -4*r + 5*t = t - b, 0 = 5*r + 2*t - 145. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*q + 75 + 40, -4*q = -x + 1. Suppose 435 = 5*r - 2*j, j + 300 = 5*r - 135. Let p = r + x. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 28. Let u be x(8). Let l = -14 - u. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ododxxgxoxxxoxox?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -539\/2 - -267. Put -5, -0.2, 4, f in decreasing order.\nAnswer: 4, -0.2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + r)*(3*r**2 - r**2 + 0*r**2) + (4*r**2 + 0*r**2 - 2*r**2)*(2*r + r - r) + r**3 - 2*r**3 + 3*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43447 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1032149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.76 - 44.76. Let s = i - -45. Which is bigger: s or -39\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250030 and 550?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-1)\/(-6) + (-9)\/(-27). Let k = 9 + -8.1. Which is the second smallest value? (a) k (b) l (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*c**3*p - 292*c**3 - 2*c**2*p - 776*c*p - 6516 with respect to p.\nAnswer: 26*c**3 - 2*c**2 - 776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 254, 1\/3, 3\/2.\nAnswer: -0.4, 1\/3, 3\/2, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -19.4. What is the smallest value in -0.3, 0.1, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 - 3)) + -15 + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + g**2 + g. Let t be o(-1). Suppose l = 2 + 1. Suppose -2*d - t*c - 15 = -7*d, -2*d - l*c = 13. Is 1 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -18 - 39) + (-1 - (-1 + -2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671042316.\nAnswer: 2, 3, 7, 7988599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0.1, -24.98?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m**2 + 0*m + 4 - 1\/2*m**4 + 2\/3*m**3. Find the third derivative of n(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43428*v + 35352*v + 3 - 7 + 4 to the form p*v + h and give p.\nAnswer: -8076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7140)\/(-7497)*(-252)\/5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 4*p + 125. Let h be p\/28 + (-1)\/(-7). Solve -4*s - x = -16, -3*s + 21 = x + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaqssqhshsq. Give prob of picking 1 s, 1 e, and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(12*(-14)\/(-1680)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36244, -4 in descending order.\nAnswer: 36244, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/66048 and 7\/2064000?\nAnswer: 8256000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441143280?\nAnswer: 2, 3, 5, 204233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.028923t to grams.\nAnswer: 9028923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895245 = -1938*t - 736329 for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -701*j**5 - 60*j**2?\nAnswer: -42060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = 5*k - 2*q + 217, k + 3*q + 136 = 0. Find the common denominator of -1 - (-26)\/(-44) - 1 and ((-1)\/12)\/((-4)\/k).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8422, 8577, 8734, 8893, 9054?\nAnswer: 9217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 + 0.09. Let t = -0.088 - f. What is t rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -226*v + 25*v + 3417. Solve 2*h - 10*d + v = -5*d, 5*h + 3*d = 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258349863, -516699724, -775049585, -1033399446, -1291749307, -1550099168?\nAnswer: -1808449029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -1139, -3838, -9093, -17756, -30679, -48714, -72713?\nAnswer: -103528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20807712 - 2?\nAnswer: 20807710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 9)*(-3*y**3 - 2*y**4 + 3*y**3)*(-2*y + y + 2*y) + (0*y**5 + 4*y**5 - 3*y**5)*(-4 + 2 + 0).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 758, 52494.\nAnswer: -4, 758, 52494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1356, -2.\nAnswer: -1356, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 117. Let c(k) = k**3 + k**2 + k. Let l(v) = 4*v**3 + 9*v**2 - 4*v + 9. Let o(p) = -3*c(p) + l(p). Determine o(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -22, -21, 0, 47, 126, 243?\n\"Answer: q**3 + q**2 - 23*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3988.3 - 3988. Put l, 1\/10, 10\/29, -4, -2\/5 in ascending order.\nAnswer: -4, -2\/5, 1\/10, l, 10\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -52. Let u = m - -23. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 620.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 114775*14\nAnswer: 1606850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1336330 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -756, -758, -762, -768, -776, -786?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -173 - -140?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -7. Let x be (124\/a)\/(4\/16). Suppose -113 = -4*p - 3*o - 14, -p = 2*o - x. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 39*y**2 + 78*y - 1565. Let o be n(40). Let w = -20 + 94. Let m = w - o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 + 128*i**2 - 128*i**2 + 3*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1981 + 1981 - 13*v + 121*v to the form u + t*v and give t.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -59*h - 17. Sort h, -111, -5.\nAnswer: -111, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Let y(d) be the first derivative of -3*d**2\/2 - 11. Calculate k(y(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.35*-838202\nAnswer: -293370.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 14. Let q(m) be the first derivative of 29*m**3\/3 - 2*m**2 + 3*m + 89. Is q(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12441 = -24*s + 11985 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {f: 1, g: 1, c: 1, k: 2, w: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (420*y**2 - 28*y - 425*y**2 - 1 + 3)*(4*y**2 - 2*y**2 - y**2) to p*y**2 + r + z*y + h*y**4 + u*y**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087 = -114*c + 6284 - 1101. Suppose 3*t + 3*l = 30, -4*t + 1 = -5*l + 6. Suppose -t*x - 28 = -138. Calculate the greatest common divisor of x and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/7752 and 25\/342852.\nAnswer: 221482392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 92*w**2 - 392*w + 1160. Let r(h) = 4*h**3 + 93*h**2 + 394*h - 1162. Let o(g) = 5*m(g) + 4*r(g). Factor o(y).\nAnswer: -4*(y - 2)*(y + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 3613?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*c**3*x**2 - 2*c**2 - 69*c*x**2 wrt c.\nAnswer: 156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let w = x + 3.2. Suppose -4*q + 3*d - 32 = 3, 0 = -4*q + 4*d - 40. Put w, -2, q in decreasing order.\nAnswer: w, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.23676 + -2.23. Let v = -0.16641 + k. Let x = -0.16 - v. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10112 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 17*s**2 - 33*s + 26. What is g(-14)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168 - -168) + (-7 - (-4 - -1) - -31)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = 17*y + 9*y - 594 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 65762532 to the nearest ten thousand.\nAnswer: 65760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*j - 5*d, 2*j + 16616 = -7*d + 16609 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2*u**2 - 1 + 1.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1142, 4572, 10290, 18296?\nAnswer: 28590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*24122.\nAnswer: 24122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 1956, 0.5, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2 - 0) - 10) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/14 + 83040\/2016 + 2\/(-6). Solve f = -18*m + 167 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-124)\/(-28) + -4 + (-388)\/7. Let k be (-2)\/16*-4*(1 - a). Let n be 90\/21 - (-4)\/(-14). Solve n*i = -3*q + 24, 6*i - 2*i - k = -4*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**2*q - 79356*k**2 + 58*k - 11499888*q + 3 wrt q?\nAnswer: -4*k**2 - 11499888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 688*x**2 + 22*x - 7508. What is f(344)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3475, 3458, 3439, 3418, 3395, 3370?\n\"Answer: -o**2 - 14*o + 3490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h + 46. What is the lowest common multiple of 10 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 5*o - 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.59, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*n = -922*n - 0*h - 4*h - 6, -10 = 5*n + 2*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -77*m**3 + 21*m**2 + 5*m - 5. Let j(f) = 116*f**3 - 31*f**2 - 8*f + 8. Let q(k) = 5*j(k) + 8*v(k). Find the third derivative of q(c) wrt c.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4*3\/(-30) - (-27294)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-2 + -4 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-14))\/((-19)\/133). Suppose -2*s - z + 78 = 0. Let n = 6 + s. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14979106 is divided by 239?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - p**2 + p + 2*p - p**2 - 2*p + (p**2 + 0*p**2 - 2*p**2)*(-2 + 4 - 1) + 0*p + 0*p + p**2 + (0 + 0 - p**2)*(1 - 3 - 1) + 78*p**2 - 165*p**2 - 167*p**2.\nAnswer: -253*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10447104*0.2.\nAnswer: 2089420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -221836.67 rounded to the nearest 10?\nAnswer: -221840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922455?\nAnswer: 3, 5, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-80)*17\/(255\/(-40)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 47. Let v(h) = h**3 - 7*h**2 - 3*h + 14. Calculate the remainder when v(8) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/((-285)\/291 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*l - 402 = -143, 2*h - 173 = -3*l. Suppose 0 = -x - 3, -4*j + 5*x = -126 - h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 13 + 8 + -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20182 + -39082. What is t rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15141, 30288, 45443, 60606, 75777?\nAnswer: 90956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -5*b - 5180. Let d = b + 385. Solve -15*f - 30 = d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1423593 and 8074?\nAnswer: 31319046","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - (7 - 3 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174950 is divided by 3610.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3241*m - 4280*m - 18024*m = 16186*m + 2185438 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - 0)*-3)\/((-1560)\/(-228) - 7). Solve -d = x + 3, 5*d - 8 = -3*x - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2271, -2367, -2463, -2559, -2655, -2751?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161700502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:33 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 378. Let x be o\/27 + 2\/9. Suppose 30 = x*t - 6*t. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 14*i**2 + 16*i - 8. Let w be y(15). Suppose w*x - 45 = 165. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 761*m**2. Let o(v) = 2*v. Give w(o(h)).\nAnswer: 3044*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6.29 (b) -3\/4 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -4\/171 (c) 0.0524 (d) -2\/7 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -19\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t - 9*t - 1 + 5*t + 2*t**3 to c*t**2 + v*t + i*t**3 + z and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/((-72)\/(-126))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.61 + -13.62. Let n = 7 + s. Let o be (4\/21)\/((-2)\/(-3)). Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*h**2 - 3*h + 453 wrt h?\nAnswer: -70*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17379696?\nAnswer: 2, 3, 127, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/164 and -3\/7.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:53 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17.3 times 0.02\nAnswer: 0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*q**2 + 18369*q - 18369*q + (5*q - 4*q - 1 + 0)*((-3*q + q + 4*q)*(1 + 1 - 4) + (-q + 0*q + 0*q)*(1 + 6 - 5) + 0*q - q - q).\nAnswer: 124*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 0 + 6)*(4*n + n - 4*n) + 3 + n - 3 + 2*n - 5 + 5)*(3 - 7 + 1) as x*n + f and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 310\/60 + 1\/(-6). Let a(l) = -1 + l**3 - 2*l**3 + c*l + 4*l**2 - 4. Is 5 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 8. Suppose 5*i = 1 + 9. Let x(h) = -3*h + 2*h**2 - h**3 + 1 + h**2 - h**i + 2*h. Calculate x(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 21*s**2 + 1041*s - 513. What is k(-23)?\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*g + 75904 = -3725*g + 314*g - 101078 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z, -17 = -x - 5*z + 2*z. What is the third derivative of -i**4 + i + 3*i**x + 2*i - 3*i wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7725 divided by -481\nAnswer: 7725\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -638*a - 2 - 609*a + 2 + 71*a as q*a + o and give q.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (6 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(110))\/(sqrt(60)\/(sqrt(6)*-1)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 550914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498566185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Let k = -0.2 - -0.7. Let x = 79\/4 - 20. Which is the closest to 1\/2? (a) x (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8645327.\nAnswer: 8645327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*u - 14*u + 6*u)*(2*u**2 - 2*u**4 - 2*u**2) + (-u**2 - 2*u**2 + u**2)*(4*u**3 - 2*u**3 + 0*u**3) + 3*u**2 - 2*u**5 - 3*u**2.\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 328\/1351?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, o: 1, n: 12}. Give prob of picking 1 w, 1 n, and 1 o.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -235041*y + 6111066. Give o(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 3*i**2 + 1 + 5 - 4*i + 1. Let q(v) = 0*v + 1 - v**2 + 0*v**2 - v. Let s(m) = -3*q(m) + w(m). What is s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -122*p**2. Let s(j) = -5007928*j**2. Give f(s(b)).\nAnswer: -3059679828088448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219 (base 11) to base 8.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4416, -4234, -4052, -3870, -3688, -3506?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y + 3. Let k be r(2). Suppose 3*j + 12 = -k*x, 11 + 9 = -j - 5*x. Which is the second smallest value? (a) -1 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2316.9 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 7*g - 53, 13549*f - 13547*f = -5*g - 37 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 146*l - 64.\nAnswer: -146*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/42437 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*2 + -3)**2.\nAnswer: -108*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-12))\/(-2 + (-3 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -38?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 - 3736*v*x**3 + v + 227*x**3 - x with respect to v.\nAnswer: 6*v**2 - 3736*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3812868\/5 or -762575?\nAnswer: -762575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 472 = -4*o + 3*n, -4*o - 2*n = -456. Let s be (o\/(-36) - 3) + (-4)\/(-18). Are s and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45398 bigger than -45402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418948865.\nAnswer: 5, 41, 1291, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/24*-4) + 35. Let c(w) = 33 + w + w - 8 - l - w. Determine c(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0*k + 12*k**2 + 2*k - 3*k + 5*k.\nAnswer: 12*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lln?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7263032?\nAnswer: 2, 7, 23, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003006 to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y**3 - 5*y**2 + 1. Let d(i) = 14*i**2 - 11*i**2 + 90*i**3 - 85*i**3 - 1. Calculate -5*d(n) - 3*p(n).\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.9544287?\nAnswer: -0.78177148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5000 and 1750?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-15 - -13 - -7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -25*z + 66*z + 3 - 21*z - 21*z. Suppose -4*k + 1 = -3. Let o(h) = 1 + h + k - 5. Calculate -2*o(t) - 3*u(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (18 - (-12 - (-21 - (-9 - -10))))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(228)*3 + sqrt(228) - sqrt(228))\/((sqrt(132)*2 - sqrt(132))\/sqrt(11)) - ((-3 + -3*sqrt(19))**2 - sqrt(95)\/(sqrt(5)*2))).\nAnswer: -175 - 29*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45876, -45879, -45882, -45885, -45888?\n\"Answer: -3*u - 45873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = -20, 2*h - 3 = -b. Suppose -5*d = 3*c - 6, -5*d - 3*c = -c - h. Is (1 + -2 - d) + 22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61542 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -59\/64961?\nAnswer: -59\/64961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.04 (b) 12 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 0*w**2 - w**2 - w**2. Let q(d) be the third derivative of 2*d**4\/3 - 7*d**2 - 5. What is q(k(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -210 - 160. Suppose -j + 3*b + 5 = -18, -4*b = -3*j + n. Let d be 7700\/99 + -26 - 2\/(-9). Calculate the highest common divisor of j and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1089 and -16\/33.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 942421649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 0.068.\nAnswer: -4.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/3*12\/(-8). Suppose 6*y + 36 = z + 2*y, 0 = -z - 4*y + u. Solve 0*o + 2*l + z = 2*o, 0 = -2*o + 3*l + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2. Let g(a) = -24*a**2 - 5*a - 4*a + 7*a + 2*a. Give b(g(d)).\nAnswer: 1152*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -327 - -534. What is the units digit of (-24)\/(-6)*g\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypppdddppdppp. Give prob of sequence dy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7))\/(372\/651)*7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1130 = -1136. What is the second smallest value in y, 2\/15, -1\/21, 1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206\/11 + (321\/(-33) - (68 - 78))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845417813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(((-77)\/(-42))\/(-11)) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5162740 divided by 5\nAnswer: 1032548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 3*l - 6. Let a be s(4). Let c be ((-72)\/a)\/((-4)\/40). List the prime factors of c*(28\/(-8) + 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3236*m**4 + 16*m**2 - 62*m wrt m?\nAnswer: -77664*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 6*c + c + 3*c - c - 3*c + (2*c - 4*c + c)*(1 + 0 + 0) + (0 + 2*c + 0)*(3 + 1 - 2) - 8*c + 80*c - 20*c.\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 6*h - 3. Suppose -d + 5*s = -4*d + 40, 5*s - 25 = 0. Let i be w(d). Find the first derivative of -3 - r**4 + 3*r**4 + i wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.0649ns to hours.\nAnswer: 0.00000000013474025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from allcynallanaallicncn. Give prob of sequence lni.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10445 = 21*o - 1100. Are o and -445 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101001100 - 1000110?\nAnswer: 110100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*n - 4620 = 624 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*o**2 - 152*o**2 + 620*o**3 - 311*o**3 - 305*o**3.\nAnswer: 4*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 120 = -501. Suppose -4*v + 4 = -2*v - 2*o, 0 = 4*v + o - l. Sort 8, v, -1\/2, 2\/5 in descending order.\nAnswer: 8, v, 2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 2*k**2 - 2*k + 10 - k**3 + 2*k**2 - 9*k**2. List the prime factors of u(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p + 207. Let u be b(14). Put 1, u, 67, -1 in ascending order.\nAnswer: u, -1, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 365*p - 16294. What is t(-87)?\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (679\/(-112))\/((-1498)\/(-23968))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59668.\nAnswer: 2, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {v: 1, s: 4, d: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Simplify (4*3*sqrt(209)*2)\/(((-1*sqrt(66) - sqrt(66))*1)\/sqrt(6)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x + 88. Let k be n(11). Suppose k = 5*r - 5*o + 610000, r = -5*o - 65797 - 56203. What is r rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1.8, -0.09, 29.4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20422*l + 2146 = -20348*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6 and 19\/280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 3, p: 1}. What is prob of sequence pq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668 divided by -6.\nAnswer: 334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 16*w**2 + 35*w + 160. Let j be y(12). Solve -j*i + h + 15 = 0, 9 = -5*i - 4*h + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 7194 = 15*h + 6251 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (21\/10)\/(11\/3 + -3) and 31\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-8 - 60\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 15*f**2 + 18*f**2)*(-84*f**2 + 159*f**2 - 85*f**2).\nAnswer: -30*f**4 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 5*d**4\/24 - d**3\/3 - d**2 + 8. Let f(l) be the second derivative of h(l). Does 34 divide f(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/26 + 6\/(-39). Let g be 7 - (a + (-2 - -5)). What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 2*g**2 + 4*g + 6. Let s(h) = h + 1. Let n(f) = 6*s(f) - u(f). Let i be n(2). Suppose i*r - 7 - 13 = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*l + 9*l**2 - 84*l + 36*l + 0*l**2 to c*l + i + d*l**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056 a factor of 24792641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1953 and 43\/19656.\nAnswer: 609336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -54*c + 1. Let t(w) = -22*w**2 - 13*w. Determine k(t(g)).\nAnswer: 1188*g**2 + 702*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 39*v**2 - 52*v - 174. Give k(-4).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -93.8. Let n = t + 5.2. What is the second biggest value in 0.5, -0.1, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uffu when four letters picked without replacement from qqqfuqfqqqqufufuuqq?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 359*n. Let y(s) = 6*s. Calculate y(m(w)).\nAnswer: 2154*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 28*i\/5 + 192\/5.\nAnswer: (i - 16)*(i - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333.327898 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -12 + 2, m = 4*r + 18. Let n(s) = -267*s - 50. What are the prime factors of n(r)?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*z - 93*z = 84 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p - 66. Let u be w(-9). Let f(l) = 2*l**2 - l - 16. Let g be f(u). Solve -o + g = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*j + a - 3, 3*j + a = -7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*h = 29087, -52*b + 4*h + 23260 = -48*b. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689 = 5*y - 216. What are the prime factors of y?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3030370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 25 = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12916.\nAnswer: 2, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15)*(4 - -41). Let l be -18*(-7 + (-9)\/(-2) - 2). What is the greatest common divisor of l and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 695*m**2 + 4905*m - 61271. Calculate u(688).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.567204 litres in millilitres?\nAnswer: 8567.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 17*b - 37 = 0, -9*b - 71 = 3*q - 11*b for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924, 3523, 7840, 13875, 21628, 31099?\nAnswer: 42288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/346 and -41\/88.\nAnswer: 15224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02540075 rounded to four dps?\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10802*o**2 - 10805*o**2 - o**3 - 10818*o**2 + 32425*o**2 + 0*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-64)*300\/(-225)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.92 + -1.72. Let r = 25.427 - -0.073. Let w = r + -26. Which is the third biggest value? (a) q (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -40 (b) 2\/7 (c) 0.1 (d) -6\/7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92621 or -92624?\nAnswer: -92624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 651?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35021791?\nAnswer: 7, 5003113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*y + 31 = 0, -3*j + 8*j - 5*y = 35. Suppose 8 = 3*c + 2*p, 4*p - 16 = -j*c - 0*p. Is c smaller than -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 18*x**2 - 16*x + 5. Let k be l(17). Let s = -15 + k. Suppose 6*a - s*a = -40. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5 + 3 + m + 3. Let j be a(4). Find the second derivative of -o + j*o**3 + 0*o**3 - 3*o**3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11584059*c**3 + 7 + 23168114*c**3 - 11584061*c**3.\nAnswer: -6*c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzp when three letters picked without replacement from {g: 4, z: 4, o: 9, p: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24411432 - 3?\nAnswer: -24411435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1. Let p(v) = -1. Let d(i) = -2*p(i) + 3*u(i). Let n(o) = -o**2 - 5. What is -15*d(a) + 3*n(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/60 + 3*k**4\/2 + 41*k**3\/6 + 7*k**2 - 9*k. Let s be o(37). Let a(u) = u + 5. Let h be a(5). Solve h = s*d - 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (1 - -675))*13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 11) + 1*-2. Let b be (-7 - u) + (-1 - -3). Suppose 3*o + b + 5 = 3*s, 0 = 4*o. Which is smaller: 5\/2 or s?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12300 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: Does 58 divide 1466027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 1)*(-2 + 3*i - 14*i + 21*i).\nAnswer: -40*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*j + 0 + 284 = 0, -4*q - 3*j = -282. Sort -17, -2, q.\nAnswer: -17, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 158289, 158306, 158349, 158430, 158561?\n\"Answer: 2*a**3 + a**2 + 158286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u - 6. Let v = u - -9. Let s = -3 + v. Solve -j + s*j + 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**7\/42 - o**4\/8 - 9*o**2. What is the second derivative of m(h) wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = 0, 56*h = 2*z + 60*h - 118. What is the greatest common factor of z and 1008?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2. Suppose 0 = -0*v + 3*v. Suppose -x + v + 22 = -5*p, 4*x = -5*p - 12. Let d(z) = x*z**2 - 39*z + 39*z. Calculate d(o(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 10*u + 2*a, -32 = -2*a - 36 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 4*q**2 + 2*q - 122 + q**2 - 188 + 2*q**2 as c*q**2 + h*q + v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 166*g**2 + 14*g - 529. Is b(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(42\/(-70))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 986159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62.5 - -0.5. Let q = y + -255. Let r = q + 191.99797. What is r rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34848.91 minutes to milliseconds.\nAnswer: 2090934600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.4 - 14. Let n = -0.03 - 1.97. Let p = -2.4 - n. What is the smallest value in v, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183988411.\nAnswer: 183988411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k + 2*k**2 - 7*k**2 + 11*k + k + 8*k to c + r*k + x*k**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5434*p - 31911 - 93623 + 59823 = 282065 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197456 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d - 6. Let u be z(-8). Let m be 9\/((-108)\/(-34908)) + 1 + -3. Suppose 0 = -19*i + 2*i + m. Calculate the highest common divisor of u and i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 14. Let w be k(0). Suppose -m = -p - w, -p - 24 = 2*m - 4*m. Calculate the remainder when 55\/3 + 2\/(-6) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*c*w + 319855*c - 4639*w wrt w.\nAnswer: 10*c - 4639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22594 < 22596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2152 by -281.\nAnswer: -2152\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5656 millilitres in litres?\nAnswer: 0.0365656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*i + 40*i - 6*i to the form o + y*i and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -81615.6 to the nearest one hundred.\nAnswer: -81600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(30*a + 7*a**3 - 30*a)*((5 + 0 - 3)*(-3 + 3 - 2) + 4 - 2 - 1 + 13 - 23 + 35).\nAnswer: -154*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 71. Let g = v - -15. Calculate the lowest common multiple of g\/6*36\/(-10) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78305*c + 78305*c - 7*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + 0 + sqrt(5)*-1) + -1*(sqrt(720) + sqrt(720) + sqrt(720)*1 + sqrt(720) + -4))*-6.\nAnswer: 96 + 258*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-56)\/(-1) + 0. Suppose 3*h - 11 = f. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/5 - -17\/20. Factor -g*k + 1\/2 - 1\/2*k**2 + 1\/4*k**3.\nAnswer: (k - 2)*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-249)\/(-42) - 3) + 1*-2 and 1 + -3 - (-97)\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 0.5 (c) -11019 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let p = 254.94 - 260. Let q = 5 + p. Which is the nearest to x? (a) -2\/13 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14213627489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 932\/8 + 1\/(-2). Let a(t) = -3*t**2 + 10*t - 6. Let n be a(7). Let x = u - n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80576?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 171. Let n(d) be the second derivative of 0 + 1\/30*d**6 + 0*d**4 + z*d**5 + 0*d**2 + 5*d + 1\/3*d**3. Find the second derivative of n(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = 64*v - 278 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 214*u. Let d(a) = 4*a. Give d(i(z)).\nAnswer: 856*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 1, -4, 29 in descending order.\nAnswer: 30, 29, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 39. Let u = g + -14. Which is the biggest value? (a) -1\/4 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 56980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 1802*n + 296125. Calculate b(-142).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3\/10*y**5 - 1\/2*y**3 + 9\/4*y**2 - 9\/8*y**4 + 3*y - 3. Find g, given that d(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6331 divided by 11\nAnswer: -6331\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.25 + -0.45. Which is the nearest to f? (a) -1 (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 32*f**3 - f**2 + 2*f - 1. Let w = -14 - -216. Let m = w - 201. Give h(m).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 932214 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -276, -254, -126, 114?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 299.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-192780)\/(-1485) - 130)\/((-10)\/8 + -1 + 2)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148161 - -740803\/5. Let y = 636 + -4440\/7. What is the closest to x in 3, 3\/2, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64311 divided by -291.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 16, 1\/6 in decreasing order.\nAnswer: 16, 1\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 369752 - 141?\nAnswer: 369611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u**3 + 101*u**3 - 41*u**3 - 25*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84140.7 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 207 in -2\/19, -2\/13, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 25 = -5*w, 7*d = -1030*w + 1032*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 34 (c) -0.3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20108 + 1482?\nAnswer: -17516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.8762 times 2\nAnswer: -7.7524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + 6*(sqrt(720) + 4) + sqrt(720)))**2.\nAnswer: 53760*sqrt(5) + 570880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 61*u**2 + 126*u.\nAnswer: -u*(u - 2)*(u + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - 58. Let f = -93.7 - z. Let k = -6 - f. Which is the second biggest value? (a) 0.3 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734670.\nAnswer: 2, 5, 7, 24781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335 + 697 - 237)*(6*x**2 - 2*x**2 - 3*x**2) + (4 - 4 - 2*x + (1 + 4 - 4)*(-2*x + 2*x - x) + 1 - 1 + x)*(0 + 2*x + 0).\nAnswer: 121*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 6) + 6 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2934 + -2070. Suppose r = -3*x + 7*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -283 - -285. Let j(m) = -2*m + 3. Let q be j(6). Let s be 3 - v - q\/(-11). Which is the third biggest value? (a) -2 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 6:54 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3799aa7 + 5?\nAnswer: 379a001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1828861, 3657699, 5486539, 7315381, 9144225?\n\"Answer: q**2 + 1828835*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, 2, 265, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1022625 and 2020?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(5*sqrt(60) + sqrt(15))\/(-1*sqrt(45)).\nAnswer: -66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3294 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 110 = -118. Let f be (h + 5)*(-1 + 1 - 1). Find the second derivative of 6*n**f - n - 24*n - 10*n wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*r - 24, 0*r - 6 = -r - 4*b. Suppose 0 = u - r*u - 35. Is 9*8 - (-9 - u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 2461.\nAnswer: 19688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 46) + -32 + 29 + -3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 14*d - 30. Let i be v(-3). Suppose 3*m - 12*o - 513 = -8*o, i*m = o + 522. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*155)\/((-9)\/(-66366)*6). Suppose 76180 = 2*r + 4*l, l = -5*r - 0*l + n. What is r rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -7)\/(-1)*(-495)\/(-2). Suppose 4*w - 1169 = q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32682454, -1, -3 in increasing order.\nAnswer: -3, -1, 32682454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 151 + 85)*(0*f + 0*f - f**4) + 0 + 0 + f**4.\nAnswer: -214*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 3. Let q(b) = 11*b - 10. Let v(d) = -7*l(d) + 2*q(d). Let u(k) = 5*k + 1. Calculate -u(o) + 6*v(o).\nAnswer: o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 50*j - 216.\nAnswer: (j - 54)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(3)*-5)*-5)\/(5*(sqrt(12) + sqrt(24)\/sqrt(2)*5)).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-15)\/(6\/(-4)). Suppose 0 = 12*l - y - 124. Calculate the least common multiple of 26 and l.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2118.9 + 2119. Is m at most -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*u - u. Let s(y) = 2*y**2 + 11*y - 9. What is the remainder when s(-9) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2\/3, -22.8, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 0, -r - 2*n + 2 = -5. Suppose -5*h = -3*b - 2, r*b = -0*b - 3*h + 8. Which is bigger: -10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 191 - 181 - 4*s**2 + 4*s - 2*s**3 + 16*s**2 - 5*s. What is the units digit of p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - 10. Let h = i + 23. Suppose -2*s - o + 36 = -s, -s - 2*o + 32 = 0. Calculate the highest common divisor of h and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-900)\/(-24))\/(6\/32). Let b = 87 + x. Let u = -187 + b. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/16)\/(27\/(-72))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105642358.\nAnswer: 2, 23, 31, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14674*r*x + 12432*r - 1 wrt x.\nAnswer: 14674*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37440)\/(-600) - 62)\/(2*1\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -594, -9, 0.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (8 - 0) + 11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/578367 and -19\/18657.\nAnswer: 578367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4\/9, 3, -9.52 in decreasing order.\nAnswer: 3, 2\/5, -4\/9, -9.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:38 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32879 and 1952.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r**3 - 393*r**2 + 1981*r - 2262.\nAnswer: -(r - 2)*(r + 29)*(16*r - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 205474.\nAnswer: -205443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvkkggkgvvkkkvk. What is prob of picking 2 v?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 = 5*r - 127. Calculate the highest common divisor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 5*a - 1. Let y be x(3). Suppose 3*s - 6*s - 5*v = 0, 2*s = -y*v. What is s rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**6\/72 - y**5\/120 - y**4\/4 + 4*y. Let m(u) be the third derivative of t(u). Calculate m(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1166619\nAnswer: -2\/388873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078 less than -9579?\nAnswer: -10657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 491552 = 4*a, 614451 = 5*a + 4*t - 5*t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/24 - 27*j**2\/8 + 55*j - 390. Factor n(a).\nAnswer: (a - 44)*(a - 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 4*f. Suppose -6*m - 2*n + 356 = -2*m, 3*m + 2*n = 267. Let z = m + -94. Let l(h) = -3*h**2 + 8*h. Let q(c) = z*s(c) - 3*l(c). Factor q(i).\nAnswer: 4*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let k(m) = m**3 + 9*m**2 - 10*m + 3. Let g be k(-10). Is 66 + (f - g\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*j - 52974 + 17854. List the prime factors of j.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -247570, -4 in descending order.\nAnswer: -4, -5, -247570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 4*f + 0*f)*(186*f + 87*f - 27*f) in the form m*f**2 + w + q*f and give m.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or 3\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293267, -586449, -879631, -1172813?\nAnswer: -1465995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - (-12 - -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**3 + 1. Let t(f) = 2*f**2. What is j(t(k))?\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:38 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 5*i + 4. Let r be z(2). Solve 3*l + r*l = -5*g, g - 4*l = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37167 (base 8) in base 15?\nAnswer: -4b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -992*t + 384. List the prime factors of l(-18).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-5 + 3 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -267135?\nAnswer: -1335675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9490315*u**2 + 4*u**4 - 3*u**4 + 6*u - 9490298*u**2 + 2 in the form n*u + l*u**3 + f*u**4 + h + b*u**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21188586 to the power of 1\/2, to the nearest integer?\nAnswer: 4603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*c + 1414*c - 741*c - 284*c**2.\nAnswer: -284*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1344 and 79\/1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4137.5 - 4138. What is the biggest value in 2, 1, 4\/3, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78177049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*t + 2*t + 113, -t - 215 = 5*n. Let h = n + 42. Let o(j) = -6*j**3 + 3*j + 3. Calculate the remainder when 89 is divided by o(h).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*t + 681 = 43*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * -26.\nAnswer: -57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 30. Let h = -1 - 4. What is the smallest value in h, v, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**2 - 3*k**3 - 11*k**2)*((3*k - 4*k - k)*(1 + 2 - 1) - 2*k + 0*k + k + 0 - 2*k + 0).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21317495 divided by 9.\nAnswer: 21317495\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (74 + 9 + -52).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39129588203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 449\/8, 1555, -5?\nAnswer: 1555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.56 - -37.96. Which is the closest to -3? (a) 1\/3 (b) -4\/3 (c) 6 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2741, 14, 0 in descending order.\nAnswer: 21, 14, 0, -2741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.01007 - -0.4.\nAnswer: 20.41007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 17*l + 1 + 19 - 27*l.\nAnswer: -44*l + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1715\/51450)\/((-2)\/(-6)*-1*1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23941077 and 12.\nAnswer: 95764308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11710 and 5855?\nAnswer: 11710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = g + 4*c + c, g - 3*g - 4*c = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) -4 (c) 10.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.5 + -1.5. Let q = 7.7 + 1.3. Let d = o - q. What is the biggest value in 0.4, d, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 997326 and 18084?\nAnswer: 273267324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/15 + 9319704*m**2\/5 + 2*m\/15 - 9319704\/5 = 0?\nAnswer: -1, 1, 13979556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 74544235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q - 3*q. Suppose 5*i + 19 = -6, -q*i = -4*o - 9. Let z(l) = -l**2 - 7*l + 6. Is 7 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 3 - 4 - -2) + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-1 - ((-33)\/22)\/((-2)\/8)). Solve 6*y + 9*y - p*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7473*h + 5168. List the prime factors of y(8).\nAnswer: 2, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2. Let c(h) be the third derivative of h**5\/10 - 59*h**3\/6 - 9*h**2 - 10. Give q(c(f)).\nAnswer: -36*f**4 + 708*f**2 - 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 206066.\nAnswer: -1\/206066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -1344715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + 0.0243398378599\nAnswer: 0.1443398378599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:04 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + (-18 - (1 - 10) - (-28 - -15 - -11)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1101110101001001?\nAnswer: 1101110101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + m**2 - 3*m. Let c be s(3). Suppose -4*z + 0*f - 5*f = -516, -f = -2*z + 244. Let g = 151 - z. What is the greatest common factor of c and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-16))\/((-1)\/34). Suppose a - z - h = 16, -4*z = -4. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 7*i**2 + 5*i - 1. Let b be v(-6). Does 14 divide -1*(2 + -1) - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -0.4, -189, -2, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 0*j - 10*j + 11*j. Let q(u) = 22*u - 5. Let a(w) = 11*w - 3. Let v(l) = -5*a(l) + 3*q(l). Give v(h(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpp when three letters picked without replacement from {w: 3, p: 12, x: 1}?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 2*c - 1. Let v be n(1). Let r be (-3 - -2)*(-8 - v). Let f = 10 - r. Solve 5*z + 5*b = 10, 5*b - 5 - f = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*k**2*m**2 - 2*k*m**2 + k*m - m**2 + 279 with respect to k.\nAnswer: 216*k*m**2 - 2*m**2 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 128, 179, 218, 245, 260, 263?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4 + 2\/4. Suppose -4*d - 28 = -3*b, 3*d = y*d + 3*b - 16. Let v = -109.02 - -109. What is the second smallest value in d, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*x**3 - 2\/3*x**2 + 0*x + 1\/3*x**4.\nAnswer: x**2*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2964*p + 59264. What is q(20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240909152 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8. Let m = 9 - h. Let l(u) = u**2 - 3*u - 2. Determine l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) 329 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88983886*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -5*v**4\/12 - v**3\/6 - 31*v**2\/2 + 2*v - 4. What is the derivative of j(x) wrt x?\nAnswer: -10*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/12 + k**3 + 11*k**2. What is the remainder when 88 is divided by s(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22939350 and 735?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:28 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -63235, -126476, -189717?\n\"Answer: -63241*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.18 in 4, -1\/2, 48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39.3 and 7406563110?\nAnswer: 7406563149.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:08 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-42)*-8 + 87\/105.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8775.4 millilitres to litres.\nAnswer: 8.7754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/11, -1\/296, -5, -8\/55?\nAnswer: -1\/296","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2. Let n(x) = 6*x**2. Determine v(n(l)).\nAnswer: -396*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 75, 51, 7, -63, -165, -305?\n\"Answer: -t**3 - t**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19.7 (b) 5 (c) -25.168 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44433 and 207354.\nAnswer: 622062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*d = 114 - 564, 0 = -2*t + 2*d + 444. Calculate the remainder when t is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.095 + 38.\nAnswer: 103.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 - 5)*(4*u + 2*u + 6*u)*(1 + 1 + 3).\nAnswer: -600*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5761 is divided by 226?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*h + 126*h - 197*h)*(h + 3*h + 0*h) to the form v + o*h**2 + g*h and give o.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3 + 0 + 0 - 5*z + 0. Let q(p) = -p**2 - p - 1. Determine -a(s) + 3*q(s).\nAnswer: -3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*y**3\/5 + 906*y**2 - 232986*y\/5 - 21218\/5.\nAnswer: -2*(y - 103)**2*(11*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233206*a**3*m**3 - a**3*m**2 + 13925*a + 3*m**3 wrt a.\nAnswer: -1399236*a*m**3 - 6*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -60, -62, -64, -66, -68?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -33, -49, -65, -81, -97?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnnxxnnxxxxx. Give prob of sequence nxn.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-52)\/12) + (-14)\/(-3). Let q = 0.706 + -0.206. Sort -1, p, -0.2, q.\nAnswer: -1, -0.2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 5:33 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 0.26. Suppose 0*d - 1 = d. Let f = 47 - 44. What is the smallest value in f, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 178.08, -0.111, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/20 + 3*p**2. Let l(a) = -9*a**2. Calculate y(l(c)).\nAnswer: 243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3742 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*c - 715 - 109, 4*c - w + 655 = 0. Let x = 171 + c. Let d(o) = o**3 - 8*o**2 - 9. Give d(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = 3*a + 2*r - 90, -5*r = -a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 612, 366, 1 in ascending order.\nAnswer: 1, 366, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -12.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3625587, 7251147, 10876707?\nAnswer: 14502267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/63 + (-3)\/(54\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006208.\nAnswer: 2, 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 64*g - 227. Let x be s(6). Solve -x = l - 162 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 8*d**2 + 0*d**2)*(11*d - 4*d + 5*d) + (1 - 1 - d**2)*(d - 2*d + 0*d).\nAnswer: -71*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/8200 and -79\/2050.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73552 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -5*h**6 + h**3\/3 - h**2 + 5. What is the third derivative of s(n) wrt n?\nAnswer: -1800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - (-134)\/4. Let p = 11 + -9. Suppose -p*k + 5*f - 2*f + 13 = 0, -k - 3*f = -20. What is the highest common factor of x and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20301*y + 25527*y + 1 - 40482*y + y**2.\nAnswer: y**2 + 5346*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 113380600 to the nearest one million.\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20304 divided by -72?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8448 + -8445. Solve 4*q - f*n = 15, 6*n + 5 = n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 553977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2376 divided by -2376\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, -25, -142, -369, -742, -1297, -2070, -3097?\n\"Answer: -6*r**3 - r**2 + 2*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 362 = -p + 21800, p = 3*s - 16625. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 + -76. Suppose -w + 17 = -l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(15)\/(sqrt(6)\/sqrt(2)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-776)\/(-582))\/((-5)\/(-3)). Let o(n) be the first derivative of 6\/5*n + 2\/15*n**3 + p*n**2 - 45. Factor o(l).\nAnswer: 2*(l + 1)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/20 + w**4\/2 - w**3\/2 - 7*w + 3. Calculate the lowest common multiple of 12 and c(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.81 - 0.19. Let n = 0 + y. Suppose -5*u + 3*w = 2*w - 15, 4*u - 12 = -2*w. Sort u, n, 1\/5 in ascending order.\nAnswer: n, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -4, 37, 112, 233, 412?\n\"Answer: 2*w**3 - w**2 + 8*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4849874 less than 24403.7?\nAnswer: 24404.1849874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1286 + 1286. Is -1\/638 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(24)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + -46 + 26 + 12 - -8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 14. Let c(a) = 113*a + 1. Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30668\/48790)\/((-1)\/15)*(-14)\/(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6005 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35 and -28\/3153.\nAnswer: 3153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(-22)\/(r**1)**13*(r**(-4\/3)*r*r*r**(2\/19)\/r)**(15\/8) assuming r is positive.\nAnswer: r**(-7599\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 806829635 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((2\/(-8))\/(-1))\/(1485\/(-9900)))\/((-9)\/(-1))\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*d**2 - 2878 + 2878)*(13*d + 11*d - 6*d + 0*d + 0*d - d + (-5 + 2 + 1)*(-2*d + 0 + 0)) to q*d**2 + g + v*d**3 + w*d and give v.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22 + (-969)\/(-187) - (-12)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let k(x) = x**2 - 10*x + 2. Determine k(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 441 - -2051. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 3*f**4 + 0*f**4 + 0*f**4)*(16 - 26 + 13)*(-144*f - 7629 + 7629).\nAnswer: -432*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - 5*c)*(-2 - 1 + 1) + 0*c - c - 4*c - 2*c - 1 - 4 - 1.\nAnswer: -3*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:11 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04272*9406.\nAnswer: 401.82432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -974.\nAnswer: -2\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5597*-0.20938.\nAnswer: 1171.89986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16\/9, 13, 1\/2, 1 in increasing order.\nAnswer: 1\/2, 1, 16\/9, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/20 - 7*z**4\/6 + 13*z**3\/6 + 19*z**2\/2 + 7*z. What is the tens digit of n(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 - 5.28. What is the nearest to -1 in -3, 2\/3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*f**2*i**3 - 1324*f**2*i - 4*f**2 - 33*f*i**3 - i**3 + 172*i**2 wrt f?\nAnswer: 28*i**3 - 2648*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i**2 - 1130*i - 10437. Calculate n(-9).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-2 + 25)) + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose -o*s + 7 = -2. Let i be 2\/(-4) + s\/6. Solve -3*z + 5*d + 35 = i, 5*z + 3*d = -0*z + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*t + 52. Suppose 5*i = 4*j + 35, -3*j = 2*i + 2*j + 19. What is the highest common divisor of t and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 11*l**2 - 16*l - 3. Let k(v) = 7*v**3 - 22*v**2 + 35*v + 4. Let g(w) = -2*k(w) - 5*x(w). Let q = 27 + -17. Calculate g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/2*(-38)\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*v**2 + 11*c**3*v - 20*c**2*v**2 - 63008*c*v**2 - 8495*v + 8 wrt v.\nAnswer: -8*c**3 - 40*c**2 - 126016*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 24 = r + s, 7 = r - 2*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 2*v**2 - 2*v**2 + (2 - 2 + v)*(-v**2 - v**2 + 3*v**2) + (-2*v**3 - v**3 + 4*v**3)*(3 - 2 + 1) + 3*v**3 - v**3 + 0*v**3)*(-v + v - v).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2150*v**2 - 1134*v + 1. Is f(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 j when four letters picked without replacement from nttnvnjvctnnjvjncj.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6931 + 4061. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 2. Let s(w) = -76*w + 38. Let l(v) = -19*q(v) + s(v). Let b(y) = -y**2. Determine b(l(d)).\nAnswer: -3249*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-8))\/((-315)\/336). Which is the smallest value? (a) 3 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 197*l**2\/3 - 397*l\/3 + 199\/3.\nAnswer: (l - 1)**2*(l + 199)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 154 = h + 26, 69 = 3*y - 2*h. What is the first derivative of 265 - y - 15*z + 7 - 140*z wrt z?\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20437?\nAnswer: 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.13 (b) -8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -81. Suppose -5*f + 4*t + 698 = 0, -2*f + 3*t + 470 - 188 = 0. Let g = f - 74. What is the remainder when g is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 557 = 303. Is t a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-5))\/(1\/(-15)). Suppose l*m - 20 = 4*m. Suppose 3*x = 4*x - 3. Solve a - 8 = 2*q + 5*a, -x*a = -q - m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -12*p - 50, -20397*p + 20393*p - 10 = -l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.76 + 15.76. Which is the closest to f? (a) 6 (b) -1\/4 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 39. Let y(g) = 4*g**2 + 3*g + 3. Let h(k) = -2 - 4*k - 6 + 4 - 5*k**2. Give w*h(d) + 4*y(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 7*f - 415*f**2.\nAnswer: -415*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1 - 756\/(-168). Put f, 5, -6\/143 in decreasing order.\nAnswer: 5, f, -6\/143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1479698, 2959390, 4439082?\nAnswer: 5918774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 357.\nAnswer: 10\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 60. Let a = u + -26. Suppose -38 = -a*z + z + 2*v, 2*z + 5*v = 0. What is the remainder when 17 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**2. Let k(g) be the third derivative of g**5\/60 - g**2. Determine c(k(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -62, -72, -86, -104, -126?\n\"Answer: -2*o**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 15*d + 2. Let l be i(-15). Suppose 0*y - 32 = -4*g + l*y, 2*g + y = 12. What is the derivative of -7*t**4 - 4*t**4 + 4*t**4 + g wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 261, 516, 863, 1296, 1809, 2396?\nAnswer: 3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*a + 2*a + 55, 0 = a - 3. Let p = -69\/2 + b. Put -14, -0.4, p in decreasing order.\nAnswer: p, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = n - 8, -3*o + 4*o + 5*n = 12. Suppose -o*m + 0*m = 158000. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/24 - 23307880\/(-480)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/6)\/(((-12)\/(108\/(-9)))\/3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(52)\/(sqrt(4) + 1*sqrt(4) - sqrt(4)) + 3))**2 - -4*(sqrt(1872) - sqrt(1872)*1*3)**2.\nAnswer: 150*sqrt(13) + 30502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 50661 + 3333 = 0. What is the remainder when o is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400416 is divided by 715.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcuxucgxgguxugpuppgx. What is prob of picking 1 x and 1 g?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*f + 4 = d + 275*f, -2*f = 2*d - 68 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93525098.\nAnswer: 2, 79, 193, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -20141122003?\nAnswer: 20141122004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 - (-7 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 33*n + 216. Suppose -5*z + 70 = -5*b, -13*b + z = -18*b - 40. Let u be f(b). Sort 3, u, 1, 4.\nAnswer: u, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + d + 12 = 0, -x + 3*d - 3 = x. List the prime factors of (51\/x)\/((-4)\/(-92)).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3736 (base 13) to base 5.\nAnswer: -222234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46968*k - 93948*k + 46982*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -85117.611 to the nearest ten.\nAnswer: -85120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-414)\/27)*(-33)\/(-22).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185790 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*r - 212*r + 88 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10630067*l**2 - 21260124*l**2 + 10630043*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1199790 - -1199783. Let w(u) be the third derivative of 0 - 7\/6*u**3 - u**2 - 1\/24*u**4 + 0*u. What is w(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22088271*p**5 - 51974*p**2 - 28*p wrt p?\nAnswer: -1325296260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -10*k - 4*g + 3136, -5*k - 3*g + 7812 = 0. Suppose 2*u - 15*u = -k. Suppose 2*q - u = 2*w, -q = -2*q + 4*w + 75. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 5*b, -2*b + 4 = -5*d + 12. Suppose 4 = t, -d*w + 4 = -0*w + t. Suppose w = 2*s - 3*s + 13. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19558, 78375, 176384, 313579, 489954, 705503, 960220?\nAnswer: 1254099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s**(-11)*s*s)\/s*s**15 assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 4.07. Let d = -1 + l. Let k be (0*5\/10)\/1. What is the second smallest value in k, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/55 - 113\/165. Let h = -634.95 + 663. Let r = -28 + h. Put -1\/2, r, w in ascending order.\nAnswer: w, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70517 divided by 70517?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - (7 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:00 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l**3 - 11. Let f = 383 - 385. Let a(o) = -3*o**3 + 2. Determine f*d(t) - 11*a(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*c - 227*c**2 + 227*c**2 - 21*c**4 wrt c?\nAnswer: -252*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:23 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.85413 to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 552*u**3 + 1514*u**2 - 2895*u**3 - 1661*u**3 + 539*u**3 wrt u?\nAnswer: -20790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 14*d + 1. Determine s(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.238 to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -818*k - 9269 + 10905 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 10}. What is prob of picking 2 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 1. Let l(t) = t**2 + 9*t + 1. Let x be 2*6\/(-4)*3. Let f be l(x). Determine s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-174304880)\/(-295) + -6 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.781532282 rounded to 4 decimal places?\nAnswer: -7.7815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6478 - 6457. Solve 7*t = -35, 19*w + t + 11 = b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400*b**6 + 562*b**4 + 2855779*b**2 wrt b.\nAnswer: 48000*b**3 + 13488*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 31 = p, -3*o - o + 12 = 0. Let x = 52 - p. Let i(u) = -u + 23. Let h be i(11). Calculate the greatest common divisor of x and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 + -39a7?\nAnswer: -38bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 13, 2\/9, -5, -69?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 70*l**2 + 141*l + 47. Give x(68).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzqqqzz. Give prob of sequence qzq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7025\/(-35))\/(-5) - (-1)\/(-7). Let v = 47 - o. Which is greater: 46\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093.638 less than -0.044?\nAnswer: -1093.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -12bb7?\nAnswer: 12bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, y: 3, i: 2}. Give prob of sequence yi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(15\/2)*10\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/1 + 1812\/(-328). Let i = 1\/41 + n. Let v be -8 + (-1711)\/(-203) + 11\/7. What is the nearest to i in -4, -1\/2, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6 - 13*h + 22*h - 18*h. Let o(k) = -19*k - 13. Determine -13*m(w) + 6*o(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*117\/3003)\/((-15)\/378).\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320926 - 320926 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 3. Let f be l(4). Suppose -f = -2*t - 4*s - 1, 0 = -3*t + s - 1. Solve 0 = -5*r - 2*g + 15, t*r - 2*g = -2*r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from qqypqpypyydyp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7845 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 1. Let z be d(1). Let k(o) = o**3 + 6*o**2 + o + 5. Suppose -34 + 4 = 5*s. Let v be k(s). Is z equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 5. Suppose 0 = -2*g + n + b + 33, -5*g + 3*n = -125. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06253 - 0.03747. What is the closest to 0.048 in 1, p, -3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/343 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*3*(-16)\/156?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 2*a = -641 + 589, 0 = 4*u - 2*a + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((8\/3)\/(-4))\/((-20)\/110040). Let u = y - 61. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 93*f**4 + 3039*f**3 - 40295*f**2 + 170016*f + 213444 = 0 for f.\nAnswer: -1, 14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.85 - -0.15. Let v(n) = 230*n - 2066. Let p be v(9). What is the second smallest value in p, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39984659*c**3 - 95474154*c.\nAnswer: -239907954*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9152, -11470, -13788, -16106, -18424?\nAnswer: -20742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**5 + 22*b**4 + 11*b**3 - 4583*b + 14. Let t(q) = q**5 - 2*q**4 - q**3 - 1. Let h(s) = -j(s) - 14*t(s). Find the second derivative of h(f) wrt f.\nAnswer: -560*f**3 + 72*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 26*a**2 + 8*a - 22. Let q be i(26). Let w = 195 - q. Solve -w*f + 6*f = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hylfvhfhfhhyykkkkh. What is prob of sequence vhly?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7*z. Suppose 0 = -z*k - k + 10. Let w = 10 + k. What is the remainder when 35 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1576 + -1575.9. What is the closest to m in 3, -2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.119916 to 3 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -979 + 973. Is 120\/61 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*n + 39*n + 4*w - 32, 4*n + 5*w = 73. What is the greatest common divisor of n and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h + 1 + 42*h + 102*h to q*h + v and give q.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*y - 336*y**3 + 30*y + 312*y**3 - 1 + 9*y**2 to b*y**2 + a*y + v*y**3 + r and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 128 - 589*h**3.\nAnswer: -589*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 = 3*f - b, 0 = -4*f - b + 7. Let a(t) be the second derivative of -t**3\/6 - t. What is the remainder when f is divided by a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224380495.\nAnswer: 5, 13, 31, 43, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58497\/14 - 4184. Suppose 0 = 5*y - 2*y + 5*s + 17302, 4*s = -2*y - 11536. Let d = y + 80635\/14. Find the common denominator of d and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -33863489?\nAnswer: 101590467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107782611*x**4 - 51185064 wrt x?\nAnswer: -431130444*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140 - 176?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000595697468 rounded to seven decimal places?\nAnswer: 0.0005957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25 + 14238*h - 28*h**3 + 8*h**3 - 14263*h. Let w(u) = 5*u**3 + 6*u - 6. Let m be (-6)\/(-8) - 105\/(-20). Give m*c(l) + 25*w(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 42 = 4*r + 24, 4*r - 10 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 12) to base 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7)**(1\/3)*(l**(-4\/7))**(-24) assuming l is positive.\nAnswer: l**(337\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 12016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*f = 0, -2*q + f + 3 = -2. Suppose -5*z + 6 = l, -4*l = -0*l + q*z - 99. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 36 - 15*g)*(-18*g + 21*g + 19*g)*(7*g**2 - 10*g**2 + 5*g**2 - 7).\nAnswer: -660*g**4 + 2310*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, 293, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175733 is divided by 35128.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -36, -41, -38, -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5075\/9 + -563. Which is smaller: 6\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 3*v**2 - 2*v**2 + (245*v - 635*v - 428*v)*(-v + v - v + (v + 2*v - v)*(3 - 4 - 1)) in the form y + a*v**2 + i*v and give a.\nAnswer: 4089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8040 - 4253. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 1018917100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 641467, 641453, 641425, 641377, 641303, 641197, 641053?\n\"Answer: -b**3 - b**2 - 4*b + 641473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a4a34 (base 11) in base 12?\nAnswer: 268172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -92940 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from oohhohaoooohhh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 7\/5 - 77066\/(-110) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874723 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*f = 4, -103*d + 99*d - 2*f + 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*r - 105 = 0, -s + 2 = 3*r + 7. Let b(f) = -32*f - 12. Does 14 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21416 = 5*c + 20966. What is the least common multiple of 110 and c?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*g = 21, 0 = 5*g - 6 + 1. Solve -4*q = -u + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from ffzzzfazaz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 - i + 6. Let b be m(-3). Suppose 5*j - 8378 + 261 = -2*f, b = -3*j - 4*f + 4873. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - -4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*g**6 - 72*g**3 + 155*g**2 + 29?\nAnswer: 5280*g**3 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 50330.76?\nAnswer: 30198.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50886 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 - 13 - 75*u**3 + 5*u**4 + 3 - 4*u**4 + 8*u**2 + 73*u**3 to x + c*u**4 + k*u**2 + b*u**3 + z*u and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2*p - 1)*(-7*p**3 - 25 + 25).\nAnswer: 14*p**4 - 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 28 = -9. Solve 0 = 5*d + 4*s + v, 0*d + 4 = -2*d + 2*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*y**3 + 52*j**2*y**2 - 9*j**2 + 1538*j*y**4 wrt y.\nAnswer: 12*j**2 + 36912*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:15 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.803 to one dp.\nAnswer: -36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005359976 to 7 decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-31))**(-21)\/(a**(-42)*(a**(-17)*a)\/a*a))**(-12\/13) assuming a is positive.\nAnswer: a**(-8508\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2887 or 2775?\nAnswer: 2775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w - w. Suppose -w*r = -8 - 12. Let o = r - 8. What is the lowest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(720))**2 - (sqrt(75)\/sqrt(3))\/sqrt(5)) + -5.\nAnswer: -49*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*b - 13. What are the prime factors of ((-239)\/(-2)*-1)\/(b\/(-22))?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*d = 16, -20 = 4*a + 2*d - 7*d. Solve -2*y + 30 = -5*c - a, -1 = -y - c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3 = 1. Let u = 861 - 861. Suppose 4*y - 5*s = 26 - u, y - 2 = -s. Solve 2 - y = -x*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29069819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.727065 times 12?\nAnswer: -152.72478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3210221 (base 4) to base 12\nAnswer: 8575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + (-4*1*sqrt(6) - sqrt(6))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*m - 5*m = -227, 5*r + 4*m = 566. Calculate the highest common divisor of 266 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqq when three letters picked without replacement from qqquqqyqqqq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 1. Let p be u(0). Let r(j) = -p + 12 - j + 0*j. Let b be r(-9). Solve 4*i = 4*q + b, -q + 6 = -3*q - 2*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-141)\/235) - ((-376)\/111 - -3)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71027 + (-18)\/(-63)*42 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -17*z. Let p(h) = -55*h**2 + 3*h + 42. Let v(r) = 110*r**2 - 7*r - 98. Let c(b) = 7*p(b) + 3*v(b). Give c(s(w)).\nAnswer: -15895*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(539) + 0)*6*5.\nAnswer: 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 338357*q - 338357*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*n - 8 = 0, 4*d - 5*n = -3*n + 20. Let s(q) = -7*q**2 + 15*q + 7. Let o(b) = -b**2 + b + 1. Let m(h) = -6*o(h) + s(h). Calculate m(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1848, 7364, 16558, 29430, 45980, 66208?\n\"Answer: 1839*m**2 - m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 360.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1296890 by 648445.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -980, -2118, -3688?\nAnswer: -5690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -5, -0.1, 286 in increasing order.\nAnswer: -5, -0.1, 1\/9, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.334 - 1.666. What is the closest to -0.2 in -0.1, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4004, -17728, -41160, -74300, -117148?\nAnswer: -169704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*z**3 - 49*z**3 - z + 21*z**3.\nAnswer: 190*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 5. Let j(m) = m + 6. Let t be j(0). What is l(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0*w**3 - w**3)*(4*w**2 - 4*w + 4*w) - 3*w**5 - w**5 + 2*w**5 + (4*w + 5*w + 0*w)*(3*w**4 - 2*w**2 + 2*w**2) - 5*w**5 + 0*w**5 + w**5.\nAnswer: 25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067, 1069, 1071, 1073, 1075, 1077?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.2 - -7. Let m = 255 - 258. Which is the biggest value? (a) 1\/4 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:09 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((((sqrt(1900) - (-2 + sqrt(1900) + sqrt(1900)))*6 - 1*sqrt(1900)*-1) + -2)*5*5)**2.\nAnswer: -625000*sqrt(19) + 29749995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14*(-25 + 11). Let q = 52 - m. Suppose g + 0 - 17 = 0. Calculate the remainder when q is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*r**5 - 13135*r**4 + 52595*r**3 - 68625*r**2 + 31480*r - 2420 = 0 for r.\nAnswer: 2\/21, 1, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:39 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5891 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (4 - (11 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-36)*6)\/(4\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**3 + y**2 - 7*y. Let f(h) = h**3 - h**2 + 2*h. Calculate -3*f(z) - k(z).\nAnswer: 9*z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**5\/40 - 5*s**4\/4 - 2*s**3\/3 - 34*s - 184. Let f(m) be the third derivative of d(m). Determine f(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25*1*3*2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(30\/(-3))*28\/8*-2\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -61*x**2 + 1 - x - 2 - x**3 - 3*x**3 + 60*x**2. Let b be i(-1). Find the second derivative of -276*l + 292*l + 3*l**2 + b*l**2 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**4 + 10*n**4 - 19*n**4)*(0*n + n - 4*n) + (0*n + 6*n + 9*n)*(-n**4 + 2*n**3 - 2*n**3).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Suppose 0 = -3*d + 3*o, 0*o + o + 5 = 2*d. Let c(g) = -4*g - 3. What is d*y(h) + c(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Suppose -b*y + 112 = -6*y. Let a = 39 + y. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6804.832l?\nAnswer: 6804832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 1. Suppose -3*h + 14 = p, 3*p - 5*p + 4*h - 12 = 0. Suppose -4*m = p*m. Suppose z = -y - z + 12, 3*y - 5*z + 19 = m. Give j(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251730309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.154 + 1.154. What is the nearest to -0.1 in 1\/6, 0.07, r?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42046 + -1681953\/40. What is the common denominator of -85\/28 and g?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*u**2 + 507365*u - 570735.\nAnswer: -5*(u - 12683)*(8*u - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(140) + -4*sqrt(140)))\/sqrt(5))\/(4*sqrt(5184) - sqrt(36))*-3)**2.\nAnswer: 252\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 0 - 40) + 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454119619 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/5030332 and 137\/7572.\nAnswer: 15090996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0961242066 - 0.1\nAnswer: -0.1961242066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:30 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42419.78 days to microseconds.\nAnswer: 3665068992000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -17, -16, -15?\n\"Answer: m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 15428*w**2 - 61340*w - 1186724 = 0. Calculate w.\nAnswer: -7, 11, 3853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3 - 6*d - 3 + 3\/2*d**2. What is w in m(w) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from {u: 5, q: 4, r: 10}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2257 + 10598. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11946 - -11954. Which is the closest to j? (a) 0.5 (b) -945 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 155 (b) -2 (c) 3 (d) 8 (e) -1\/5 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 20 = 2*z - 0*i, -3*i + 11 = 5*z. Suppose o = 4*v - 1 + 2, 4 = -v + z*o. Let b be (-2)\/4*0 + 0. Solve -3*f + b*f = v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 17 = -0*t - 152 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(3\/2)*d)*d*d)\/(d\/d**(2\/3))*d**5\/d**7 assuming d is positive.\nAnswer: d**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 90\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-169)\/(-1014) + 7\/(-24)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3303 - 30201?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1515, 3029, 4543, 6057, 7571, 9085?\n\"Answer: 1514*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 43*o**3 + o**2 + 44*o + 44. Let h be s(-18). What is h rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**8\/84 + n**4\/6 - n**2 - 3. Let b(c) be the second derivative of v(c). What is the second derivative of b(r) wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -354 < -260159\/732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r - 2. Let n(w) = 2*w**2. What is u(n(d))?\nAnswer: 18*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5151924 and -173\/756.\nAnswer: 36063468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -2. Let z = -101 + 122. Let o = 61\/3 - z. Which is the biggest value? (a) j (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2143*j - 1 + 552*j - 1.\nAnswer: -1591*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 16*b**2 - 2*b**2 + 21*b**2.\nAnswer: 35*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/49 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, l: 6}. Give prob of picking 3 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -111*h + 1. Let b(c) = -5368*c + 311. Give b(k(g)).\nAnswer: 595848*g - 5057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 3*x - 18, 2*r + 4*x + 14 = 0. Find the third derivative of -2*n**2 - 5*n**3 + 3*n**r - 5*n**2 + 0*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 10 (c) -42 (d) -2\/3 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32.49 and 9722.9861?\nAnswer: 9755.4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/60 - 3*u**4\/8 - 5*u**3\/6 - u**2. Let t be h(-8). Factor -2*w**2 + 5*w**3 + 6*w**2 - 2*w**5 + 2*w**3 - w**t.\nAnswer: -2*w**2*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 250462 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 18. Suppose j*z - 24 = 2*z + 4*l, 16 = 4*l. Solve 4*c + 0 = z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 0.6. Let t = 0.8 - u. Let i = 0.5 + -0.3. Which is the nearest to t? (a) i (b) -2\/7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 508 = 516. Let c = k - 38. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -1\/6*k**4 + 0 + 0*k**3 + 6*k + 1\/2*k**2. Differentiate r(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489502.07 rounded to the nearest 1000?\nAnswer: 2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 559189 divided by 2\nAnswer: 559189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(2*u + 4*u - 3*u) + (3 + 3 - 4)*(u - u + 2*u) + (-3*u - u + 5*u)*(-3 + 0 + 1).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3.4. Let d = -36 - -34. Which is the biggest value? (a) 1 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -0.49. What is the fourth biggest value in 3\/2, 1, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13381\/5010 - 7\/1670. Find the common denominator of n and 44\/9043.\nAnswer: 27129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 349, 362, 353, 316, 245, 134, -23?\n\"Answer: -f**3 - 5*f**2 + 35*f + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 - 6*k - 3. Calculate t(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0.1, 0.2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69291060*w**3 - 96*w**2 + 2034*w + 22 wrt w?\nAnswer: -415746360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 369 + -271 - 9\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 2, c: 1, l: 1}. What is prob of picking 1 c, 1 l, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 73, -2\/9, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 14 - 5 + d**2 - 26980*d**3 - 3925*d**3 - 9.\nAnswer: -30905*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = p + 4*p + 20, -4*g = -3*p - 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43.5, 0, -5 in descending order.\nAnswer: 0, -5, -43.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. What are the prime factors of p\/((-6)\/(-3))*214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*s + 3*c - 10, -5*s + 21 = -3*c. Suppose 0 = -o + s*p - 9 + 104, 2*o - 223 = -5*p. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15262 - 15181. What is the highest common divisor of f and 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165639459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*(c\/((c**(-2\/53)\/c)\/c*c)*c)\/c*c))\/c*c\/((c**(-2\/21)*c)\/c)*c*c*c*c*(c\/(c\/c**0*c*c))\/(c**(27\/2)*c) assuming c is positive.\nAnswer: c**(-32149\/2226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 6)\/(52\/(-8346)). What is the highest common factor of p and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886888?\nAnswer: 2, 59, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 83, 142, 223, 326, 451, 598?\n\"Answer: 11*u**2 + 4*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1795554409 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/300 and 91\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpp when three letters picked without replacement from npgvgppgvgvgggpgnpg?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 12 + -7 - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Suppose 10 = 2*n, -4*n - 3 = p*c - 33. Suppose 3 = c*x - 7. Sort 0, 5, x.\nAnswer: 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361459092.\nAnswer: 2, 3, 30121591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 29 + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*f + 957 + 12. Let p(r) = r**3 + 7*r**2 + 6*r - 4. Let w be p(-6). Let m = f + w. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.962 - 353\nAnswer: -352.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04365385686 rounded to five dps?\nAnswer: 0.04365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-43400)*-93*(-14)\/(-60)\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(3 + sqrt(1008)))**2 + ((3*(sqrt(189) + (sqrt(189) - -2*sqrt(189))) + sqrt(189))\/sqrt(3))**2.\nAnswer: 4608*sqrt(7) + 75735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 29548 = -4*z - o, 3*z - 17715 = -4*o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 536.4 - 536. What is the second biggest value in k, 8, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(sqrt(143) - (sqrt(143) - (sqrt(143) - (3*sqrt(143) + sqrt(143))*-6))))\/(sqrt(539) + (sqrt(539) - 1*sqrt(539))*-3 + sqrt(539) - -1*sqrt(539)*-1).\nAnswer: 450*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = v - 3*r, 52 = 3*v - 4*r. Suppose -5*z + 5 + v = 0. What is the third derivative of 2*u**z - 3*u**2 + 3*u**5 + u**2 + 0*u**5 wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501 - 1?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 3. Suppose -r - 2*r = 2*u - 7, 4*r + 5*u = 0. Let g be q(r). Find the third derivative of -2*t**2 - 5*t + 5*t + g*t**5 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j)**(1\/12) assuming j is positive.\nAnswer: j**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8892 and -49\/11362.\nAnswer: 204516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 487850*s - 487850*s + 6*s**4 + 59*s**2 to the form d*s**4 + r*s**3 + f*s + n*s**2 + z and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 146*b**2 - 569*b + 144. Give h(142).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*l**2 + 9*l**3 - 4*l**3 + 49*l**2 to m*l**2 + p + u*l**3 + b*l and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116267 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2.8303\nAnswer: -0.84909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) 3 (c) 2 (d) 1\/7 (e) 0.6752\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 556484974139 and 3.\nAnswer: 556484974142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(20)\/sqrt(2)) + (sqrt(114)\/sqrt(2))\/sqrt(3).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556281, -556283, -556287, -556293, -556301, -556311, -556323?\nAnswer: -556337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f + 39. Let u = -25 - f. What is the third derivative of 0*l**4 - l**4 + 17*l**2 - u*l**2 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3 - (2 + -8 + 10) - 34\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6220160 is divided by 259173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2. Let g(b) = -2*b**2. Let k(t) = 8*g(t) + 3*s(t). Let r(z) = 2*z - 4*z - 6*z. Give r(k(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - 2*sqrt(1573) - (sqrt(13) + -1)*5.\nAnswer: -16*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 353524611115 + 5.\nAnswer: 353524611120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262449371.\nAnswer: 7, 13, 24862081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -22 - 15*g**2 + 13*g**3 - 6*g**3 - 6*g**3 + 16*g. Let x be r(14). Solve n = -n + x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 114. Let j be ((-6)\/8)\/(3\/12). Let n be (-3)\/(-42)*k - j. Is n greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0 + -2 + 0). Let f = 103 - 47. Find the second derivative of 2*a**c + f - 56 + a wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -169, -275, -387, -505?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 + 4072*l**2 - 3021033*l = 0. What is l?\nAnswer: -4713, 0, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63432 + -35578. What are the prime factors of x?\nAnswer: 2, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467161 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttvtvqvqvctqvq. Give prob of sequence vc.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.9, 2, 1, -2\/5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -42353 in ascending order.\nAnswer: -42353, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 9*k - 1. Let n(v) = -v**2 + 20*v + 51. Let r be n(29). Let w = r - -218. Determine l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + 78\/30. Suppose 8*l + 390 = f*y + 3*l, -y + 130 = 2*l. Suppose y = -2*q + 7*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 7.6. Sort i, 0, -3.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -37*b**2 + 675*b + 7. What are the prime factors of o(14)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 236253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2902055406.\nAnswer: 2, 3, 23, 21029387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let r(j) = -6*j + 1. Let n be r(1). Let s be i(n). Let l = -1 + s. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -893*j + 4706. What is the tens digit of d(-38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.4 (c) 4 (d) -350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from xhpmn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76) + (sqrt(76) - (sqrt(76) + 4*-2*sqrt(76))))\/(sqrt(4) - (sqrt(4) - sqrt(400)*3 - sqrt(4) - sqrt(4)) - sqrt(4)).\nAnswer: 9*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**3\/2 - 3*r. Let u(j) = j + 6. Let g be u(-6). Let l(h) = -2*h + 4*h + g*h. Give l(w(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9015?\nAnswer: 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10257, -3850, -5?\nAnswer: -10257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)\/(1\/25). Let b(q) = 27*q + 242. Let u be b(-11). Let k = n - u. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 - 44*w - 5. Let h(d) = -2*d**2 + 15*d + 2. Let q(i) = 6*b(i) + 17*h(i). Determine q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 12) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 10*t + 19. Suppose 0 = -6*c - 1 + t. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50*(-33)\/8250*9\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -555, -830, -1105?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 41?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15 - 2*913\/(-10). Which is bigger: 185 or h?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.2, -5, 169, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*k + 4*u, 20 + 5 = -5*u. Let h = 12.27 + 0.23. Let z = h - 12.7. Which is the closest to z? (a) -0.3 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 372 - 90. Suppose 16*m = 19*m - p. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -872, 10, 39 in increasing order.\nAnswer: -872, 10, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 355 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(-105)\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4\/7 (b) 5\/3 (c) 1172 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 3. Let i(c) = -c - 1. Let b(n) = n - 1. Let v(u) = -b(u) - 2*i(u). Let w(r) = 4*v(r) + 3*y(r). Give w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -336 - -333. Let m = 0.1 + 0. Which is the biggest value? (a) m (b) 54 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1 + -8)*12 - (-380)\/38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = -18. Which is the second smallest value? (a) q (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (1 - 1))\/(49\/49). Let m = 6 + r. Suppose m*p - 3*w = 2413, -2*w - 3*w + 1475 = 3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 9*x + 0*x)*(4 - 2 - 3)*(0 + 0 - 1) to the form r*x + q and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -23\/6*v**3 - 16*v**2 + 0 + 0*v - 7\/30*v**5 + 0*v**4. What is the derivative of t(a) wrt a?\nAnswer: -28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980223857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*x - 5 = 0, 2*q - 11 = 2*x - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2643 (base 10) in base 6?\nAnswer: 20123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 6*s)*(4*s**2 - s**2 - s**2) - 166*s + 82*s - 1 + 87*s - s**3 + (-2*s**2 + s**2 + 0*s**2)*(1 - 1 - s).\nAnswer: -12*s**3 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 270, 641, 1160, 1827, 2642, 3605?\nAnswer: 4716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g**3 + g**2 + g. Give t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 114*r - 1083 - 1121 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u - 37. What is the hundreds digit of t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {s: 6, z: 3, n: 2, y: 1, i: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = -3*g. Suppose 2*c + 12 - 4 = 0, g*y = 5*c + 40. Suppose -3*s + 2 = 2*w, 3*s - w + 26 = y*w. Let v(l) = l + 1. Calculate v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-5)\/((sqrt(99)*-2)\/sqrt(9) + sqrt(11)) + (sqrt(56)\/(sqrt(8)*-3) - (sqrt(112) + 3 + sqrt(112) + sqrt(7))**2).\nAnswer: -576 - 178*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18788.5 + -18788. Which is the second smallest value? (a) -2\/11 (b) -91 (c) f (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*o + 2824 - 616 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p + 5. Is a(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 60*q**2 - 715*q + 477. What is b(44)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:50 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3452, 1\/3 in decreasing order.\nAnswer: 3452, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 50. Let r = 15 - d. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*x, 3*h = 6*x - 2*x - 2. What is the second derivative of -b**x + 3*b + 2*b**5 + 6*b**2 - 5*b**2 wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 13272496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -333041?\nAnswer: 333110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - -1) + -2183 + 2187?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-4)*(-58)\/3. Suppose 5*j + 2*n - y = -n, -2*j + 33 = 3*n. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-9\/5)*g)**6 assuming g is positive.\nAnswer: g**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {e: 1, q: 2, n: 4, d: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19. Let t be (2\/4)\/((-2)\/(-380)). Suppose t = 3*k + 2*j, n = -2*k - 2*k - 5*j + 129. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-64)*3*12\/(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5614721, -11229442, -16844163, -22458884?\nAnswer: -28073605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 2*h**2 - 2*h**2)*(h + 0*h + 2*h) + 1 + 0 - h**3 + 0*h**3.\nAnswer: -22*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 16 - 19*r - 16. Let k(j) = -j**3 + 5*j. Let o(n) = -4*b(n) - 18*k(n). What is the second derivative of o(w) wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5478*3.1\nAnswer: -16981.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 12*g**5 + 707284*g**4 + 31206525484*g**3\/3 - 581222141844*g**2 + 384013931392*g - 191429040880\/3 = 0.\nAnswer: -29498, 1\/3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*w**2 - 264330 + 264330.\nAnswer: -163*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 73*q + 594. Let p(i) = -12*i - 99. Let j(z) = -39*p(z) - 6*u(z). What are the prime factors of j(12)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzew when four letters picked without replacement from {z: 3, v: 10, e: 1, w: 4}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = -5*f, -3*i + 0*i = -3*f - 6. Let a be ((-8)\/(-3))\/((-20)\/12). Let u = -19\/15 - a. Are i and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -33. Let s(g) be the first derivative of z + g + 1\/2*g**2. What is s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0. Let m = -5\/39 + -19\/156. Let u = 9907 + -9906. Which is the closest to u? (a) 0 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2206962190 is divided by 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f**2 + 57*f**2 + 1 - 2*f**2)*(-f**2 - 3*f**2 + 3*f**2).\nAnswer: -40*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -516 + 522.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*b - 13, 53*m - 4*b = 56*m + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*l - 13, -3 = -0*l - l - 2*q. Let j(f) = 1 - 3 + 0 - l*f**2 + 3. Let b be ((8\/5)\/(-4))\/(10\/25). Calculate j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1548 and 658584.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.99576 kilograms to tonnes.\nAnswer: 0.05399576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-1\/2)\/n))**(-7))**(-24) assuming n is positive.\nAnswer: n**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/10)\/(19\/190). Let q(x) be the second derivative of 7\/12*x**4 + 0*x**2 + 0 - k*x + 5\/6*x**3. Find the second derivative of q(b) wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8930.618 decades in months?\nAnswer: 1071674.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1134 - 1101 + 11*j + 3394 - 1128)*(j**2 + 0*j**2 - 4*j**2).\nAnswer: -33*j**3 - 93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -56, -5.\nAnswer: -56, -5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88566 (base 10) to base 11.\nAnswer: 605a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.5 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-5))\/(2\/4). Let u = n - -1. Solve 0*g - g = -u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*q = 12, 4*f + 7*q - 2*q = 29. Suppose -c = f + 1. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s + 38*s + 30*s = -594 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + 2 - 2)*(1 - 3 - 1) + 15*v**2 - 62*v**2 + 28*v**2 as x + l*v + h*v**2 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 + t + 38. Calculate w(-6).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 368 times -13.7\nAnswer: -5041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/10 + 1085*z + 5886125\/2.\nAnswer: (z + 5425)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 331 = 3*p - 5*d, 2*p - d + 28 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-83 - (6 + -10)) + (20 - 39) + 28\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 = 501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 44 = -4*n. Suppose 3*r = -5*d - 3, -3*d = -2*r - 3 + 1. Suppose t - 33 + n = d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 4235*b**2 + 474360*b + 12355200.\nAnswer: 5*(b + 39)*(b + 88)*(b + 720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 522009 and 15.\nAnswer: 2610045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**7\/168 + d**5\/30 - 5*d**3\/3 + 5. Let p(l) be the third derivative of t(l). What is the second derivative of p(m) wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*b - 26, -3 = -z - 0*z - b. Let t(d) = d - 3. Let o be t(-6). Let x = z - o. 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 prob of sequence pm when two letters picked without replacement from {w: 1, p: 3, m: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*r - 329*a**3 + 346*a**2*r**4 - 2 with respect to r.\nAnswer: -2*a**3 + 1384*a**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 3 - 2*h**3 + 48*h**4 - 3*h**4 + 8 - 2 to x*h + u + c*h**4 + g*h**2 + l*h**3 and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 40. Let r = u + 22. Suppose r + 5 = g. Calculate the lowest common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-50*6)\/(-5) - 6\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - u = 5 + 1, -16 = h + 5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 48*d**2 - 131*d + 206. What is j(-45)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/272 and -1\/949008.\nAnswer: 949008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86848 is divided by 4341?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 + x + 1. Suppose 5 + 16 = 7*o. Suppose -o*l + 4*h + 5 = 0, -6*h + 8 = -2*l - 9*h. What is r(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2*f = 1602. What are the prime factors of f?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0. Let u(h) = h**2 - 4*h + 3. Let b be u(2). Suppose -11*r - 22*r - 132 = 0. What is the closest to b in -1\/3, r, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 186927.1788 to the nearest 10.\nAnswer: 186930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*j**3 + 33*j**2 - 11*j**2 - 19*j**2 + 5*j**4 + 96 - 98 in the form x*j + a + s*j**4 + k*j**3 + p*j**2 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16195 - 5\nAnswer: -16200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822459276 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: Two letters picked without replacement from jltotoie. Give prob of picking 1 j and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let x(q) be the third derivative of q**4\/8 + 2*q**3 - 56*q**2. Give x(t) - 2*y(t).\nAnswer: t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15318223062.8+254.5\nAnswer: 15318223317.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3118867353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 32 = 17*y. Let v(f) = -596*f**2 + 595*f**2 + y + 0 - f. Let g(j) = 18*j**2 + 12*j - 12. What is -g(l) - 12*v(l)?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 201575917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-5))\/(2\/(-30)). Suppose -5*v - w = 4*i - 2*i, 4*i + 4*v = 0. Factor 10\/13*k**2 + 4\/13*k + 2\/13*k**4 + 8\/13*k**i + 0.\nAnswer: 2*k*(k + 1)**2*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 427.083, 32, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymmaugum. Give prob of picking 2 m and 1 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 - 3*g**5\/20 + 11*g**4\/8 - 5*g**3\/6 - 37*g**2. What is the remainder when 147 is divided by s(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -1.3. Let f = 2.5 + -1.5. Let t(r) = r - 7. Let n be t(7). What is the nearest to l in n, f, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13190 (base 10) in base 7?\nAnswer: 53312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 * 0.2.\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*u - 205 = 0, 4*l - 2*u = 2 - 142. Let t = l - -39. Suppose 5*x - 22 = -t. Put x, -3, -1, -7 in decreasing order.\nAnswer: x, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/116302 + 2267887\/232604. Let 3\/4*p**3 + 15\/4*p**2 - x*p + 21\/4 = 0. What is p?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 68. What are the prime factors of f\/4*-154 - (-1 - -3)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 316 + -315.9971. What is i rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times -0.438\nAnswer: 0.13578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:38 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 30 = -5*l, -3*l - 5*j + 2*j + 18 = 0. Let c = l + -4. Factor -d**3 + d - d**4 + d**c - 8 + 8.\nAnswer: -d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46598 and -1.9.\nAnswer: 0.885362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1522*x - 24405. Calculate t(-16).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Suppose p*v = 4*v - 10. Suppose v = 4*l - 11. What is the highest common factor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -39. Let z = b - -37. Let h = z + 5. Solve 4*r + 18 = 2*y, 3*y - 1 = r + h*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 12. Let n be u(8). Let b = 137\/798 - 2\/399. Put n, b, -0.2 in decreasing order.\nAnswer: n, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14943637392 from -166.\nAnswer: 14943637226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0407 + -0.2.\nAnswer: -0.1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s - 3*s)*(2 - 4 + 1)*(-4 + 4 + 2).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -976*v + 16647. Give f(17).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5071595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8584352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-36) - 48\/(-18). Sort 19, -2\/11, d in decreasing order.\nAnswer: 19, d, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/5 + 16*p\/5 + 2016\/5 = 0. Calculate p.\nAnswer: -28, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-16)\/z))*z*z**(-16)\/z)\/(z**(-19)\/z**8) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 252, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -27 + 62 + -47\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 501*u - 58140. What is z(116)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 19*a - 33. Let m be y(17). Let r(d) = 9*d**2 + 3*d - 2. What is the smallest common multiple of 28 and r(m)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4095 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p - 10. Let j be 0 + 8 - 4\/(-2). List the prime factors of x(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 - -40. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*t**4 + 87 - 172 + t**2 - 3*t**2 wrt t?\nAnswer: -96*t**3 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2854 - 1028. Is d\/4*(-20)\/30 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*j**4*r**3 + 8*j**4*r**2 + 30*r**3 + 4 wrt j.\nAnswer: 56*j**3*r**3 + 32*j**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96443.71 hours in seconds?\nAnswer: 347197356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/105 + 56\/(-30) + 41 + -39. Let c(q) be the third derivative of 19\/168*q**4 + 1\/140*q**5 + 0 + m*q**3 + 26*q**2 + 0*q. Factor c(z).\nAnswer: (z + 6)*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63738 is divided by 7095.\nAnswer: 6978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20651 + 52014. List the prime factors of d.\nAnswer: 79, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/4 + 10*n.\nAnswer: 5*n*(n + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2497490 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -27. Let r = -6 - o. Suppose -45 = 3*q - 5*q - z, r*z + 96 = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1417 = 67*i - 3829. What is the least common multiple of i and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -16*m - 126. Give b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 292 + -180. Let v = k - 154. Let u = 123 + v. What is the remainder when u is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*b - 1844, 3*i - 1016 = 5*b - 3310. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2141 - -41220?\nAnswer: 34024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 132.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from kkkzczckzcczcccc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -2, -1, 9, -35, 0.\nAnswer: -35, -2, -1, 0, 4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 214185 divided by -1635?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*s + 1 + 24, -5*s = 4*l - 10. Solve 0 = s*d - d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -35233?\nAnswer: -35244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(45) - (sqrt(45) + sqrt(45)*-2)) - (sqrt(25)\/sqrt(125) + 3))**2.\nAnswer: sqrt(5)\/5 + 1621\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502026151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 1836\/5 - 6\/5*x**2 - 906\/5*x = 0.\nAnswer: -153, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855532263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 455366 - 151?\nAnswer: 455215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 38*u - 15*u**3 - 3*u**3 - 28 + 106*u**2 - 100*u**2 + 4*u**3 - 2*u**4 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 728*w**4 - 7584*w**3 - 18432*w**2 = 0. What is w?\nAnswer: -6, -4, 0, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 7*l**2 + 7*l. Let k be s(-6). Let h = 8 - k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 - 33983051 + 33983051. Let c(r) = 9*r**2 + 6*r - 6. Let g(w) = -18*w**2 - 13*w + 13. Let x(j) = -13*c(j) - 6*g(j). Determine x(h(a)).\nAnswer: -324*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 204?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14061 + -0.14. Let h = a + -0.300664. Let p = 0.3 + h. Round p to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189 * -0.3.\nAnswer: -56.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + 0 - (6 - -3) - 16 - -3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:38 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560155960 and 3640?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 3. Let y = -435 - -426. Let o be (-2 - -1)\/(1\/y). Give k(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.24 - 4.74. Put 0.3, -0.1, h, -2 in descending order.\nAnswer: h, 0.3, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 8) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*y = 50*y - 351 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -h - 85, -2*q = 4*h - 2*h - 30. Suppose -j + q = 153. Let n = 232 + j. Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:33 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1095*a + 5498. Calculate w(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 4494?\nAnswer: -4494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 26*n - 21. Let w(z) = -18 - 22 + 66 + 3*z - 8*z - 22. Give 2*b(m) + 11*w(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-18) - 2\/9. Let j = 0.116 + -5.226. Let c = 3.11 + j. What is the biggest value in 0.1, c, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 + 6*l**3 - 9*l**2 + 22*l + 26. Let x be t(-19). Suppose -v - 4 = 2*y, x*y + 2*v = -2*v - 11. Sort 0, y, -3.\nAnswer: -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412404 - 34120?\nAnswer: -1002024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/3 - 3*a**2\/2 - 1. Let w be l(-3). Let h = w - -5. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**35*x**(-5\/3)*x assuming x is positive.\nAnswer: x**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -96. Suppose 0 = -p*w + 41*w - 396. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16684298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 24. What is the remainder when 36 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14510*k + 74 = -14499*k - 69 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -690, -679, -658, -621, -562, -475, -354?\n\"Answer: z**3 - z**2 + 7*z - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a - 3\/25*a**5 + 12\/5*a**2 - 78 - 3\/4*a**4 - 2\/5*a**3. Factor c(w).\nAnswer: -3*w*(w - 1)*(w + 2)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16139*f**2*x**4 + f**2 - 8494*f*x**2 + x**6 wrt x?\nAnswer: 387336*f**2*x + 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-11)\/((-33)\/5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -6*u**3\/5 - 44262*u**2\/5 - 662664*u\/5 - 618408\/5 = 0.\nAnswer: -7362, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 + 3*x + 7. Let k be d(-6). Suppose -a - 2*a = g - k, -2*g + 2*a = -194. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16187774 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*r + 2, 6*r = 2*r - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 47*f**2 - 51*f - 227. Give r(-46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o**3 + 23*o**2 + 14*o - 17. Let j(g) = 7*g**3 + 8*g**2 + 5*g - 6. Suppose t + 2*w - 26 = -3*w, 5*w - 20 = 0. Determine t*z(m) - 17*j(m).\nAnswer: m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/21 (b) 497 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 3\/2 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + 2 + 3 + -712 + 664?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234503?\nAnswer: 151, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 12) in base 16?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*m + 275, -3*q - 5*m = q - 299. Find the common denominator of 29\/4 and q*4\/(-64)*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 150571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294865813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugk when four letters picked without replacement from {s: 4, g: 4, k: 5, u: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 70 + 11 - (9 - (0 + 21 - 14))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 44, 144, 336, 650, 1116, 1764, 2624?\nAnswer: 3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.275, -0.8, 0, -3\/4, -112\/9 in decreasing order.\nAnswer: 1.275, 0, -3\/4, -0.8, -112\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -9 (c) 3 (d) 32\/7 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11564 divided by 118.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 1970220.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3\/9 + 551*z**2\/9 - 137*z\/3 = 0. Calculate z.\nAnswer: 0, 3\/4, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 527579\/3 + -175859. Let -1\/9*t**4 - q*t**3 + t**2 + 14\/9*t + 0 = 0. What is t?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261794*d**4 - 173303*d**2 wrt d?\nAnswer: 6283056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 - -362. Let x be -8 + (-143)\/((-7)\/(-21)*-3). What is the highest common divisor of x and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165961081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 39*v + 98. Let b(q) = 19*q + 64. Give -5*b(k) + 2*z(k).\nAnswer: -17*k - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303306823 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1839\/4291)\/((-891)\/300 + 3). Factor -a + 20\/7*g - 1\/7*g**2.\nAnswer: -(g - 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrgrzgrrgzrrrggrr. Give prob of sequence gzrg.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2 + 307. Let x(w) = -6*w + 4*w - 4*w. Give x(v(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-14) + (-11 - -8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 19443990.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8252 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:53 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23493, 23494, 23495, 23496, 23497?\n\"Answer: c + 23492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 9*b - 6. Let c be n(7). Let q be (10\/(-3))\/((-849)\/(-54) - 16). What is the second derivative of c*d - 5*d**3 + q*d + 20*d**3 wrt d?\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -41\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 131, 11 in ascending order.\nAnswer: -9, 2, 11, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1355*n + 1. Let b(t) = -687*t. Determine 9*b(q) + 4*f(q).\nAnswer: -763*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3467 or 13894?\nAnswer: 13894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 10*v**2 - v + 13. Determine j(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.13, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859767753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 14*d**2 + 13*d - 16. Let j be v(14). Let q = 345 - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2659588.6 + -19710891.\nAnswer: -17051302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2)*d*d\/(d**(-1\/5)\/d*d))**(-1\/28))**(-2\/11) assuming d is positive.\nAnswer: d**(13\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o + 4. Let n(t) = -23 - 105*t - 103*t - 101*t + 262*t. Give -34*d(w) - 6*n(w).\nAnswer: 10*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.37 - -168.57. What is p rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*q**4 - 45*q - 2 wrt q?\nAnswer: 2808*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*r - 926*r = 2*z + 8, r = -6*z - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + b)*(-2*b + 2*b**3 + 2*b) + (-2 - 5 + 4)*(-1 + 1 - 2*b**4) - 4*b**2 - 3*b**4 + 4*b**2 + b**4 - b**4 - 2*b**4.\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + a = -2140, -3*z + 2*a = -0*z - 1610. Let b(m) = 8*m - z + 2*m + 534. Let c(i) = 10*i. Determine 5*b(q) - 4*c(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**2 + 6*h**2 + 10*h**2 - 36*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(425) - (sqrt(153) + 3)**2.\nAnswer: -157 - 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4413 + 867. Does 132 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 14*w**2 - 13*w - 6. Let h(c) = -4*c**3 + 55*c**2 - 51*c - 23. Let q(g) = 2*h(g) - 9*k(g). Let m be q(15). Do m and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 940282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 407495 * -6.35.\nAnswer: -2587593.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 125.25. Let f = j + -0.75. What is the second biggest value in -2\/5, -2\/11, f, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*y + 676 = -162*y - 1347 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1049294 (base 11) to base 2.\nAnswer: 111000001110100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6495.596755 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5309 = 2596*h + 77*h + 3866 + 84380 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -903 - 5?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 823 = 333. Let i = z + -250. Let c(d) = -2*d - 4. Give c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/20)\/((-4)\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -21 + -8 + -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i - 4*i - 12*i.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/26964 and -157\/107856.\nAnswer: 107856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**0\/m*m))\/m*m)**(3\/8)*(m*m\/((m\/m**16)\/m))**(-40) assuming m is positive.\nAnswer: m**(-2877\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268 - -858. What is the fifth smallest value in 2\/5, w, 0, -3\/5, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + p**3 - p**3)*(0 + 2*p + 0) + 3*p**3 + 300*p**5 - 6*p**3 - 298*p**5 - 6*p**4 + 2.\nAnswer: -2*p**5 - 6*p**4 - 3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1377) - -2*sqrt(1377))*3 + -4 + sqrt(1377)*-2 + 2)**2.\nAnswer: -756*sqrt(17) + 202431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-1)\/sqrt(8) + (sqrt(126)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2397936 divided by 99914\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 35*c**2 + 5*c**2)*(4*c + 4*c - 3*c).\nAnswer: -170*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(7))**2 + -5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76362 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224444713589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/3 - 1898*j\/3 + 17568 = 0. Calculate j.\nAnswer: -976, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 16*b**3 + 12*b**4 + 6*b**4 - 7*b**3 - 30*b**2 + 3*b**5 = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**7\/1260 + f**6\/60 - 3*f**5\/20 - f**4\/8 + 4*f**2. Let a(p) be the second derivative of q(p). What is m in a(m) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2 - 38\/(-2). Suppose -20*g - 762 = -a*g. Is 52 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (450*o**3 + 209*o**4 - 900*o**3 + 451*o**3)*(-o + 0*o + 3*o).\nAnswer: 418*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2. Let k(q) = q - 2. Let i(m) = -3*m**2 + 6*m - 12. Let v(r) = -i(r) + 6*k(r). Calculate v(n(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1517*r**3 + 10*r + 121 wrt r.\nAnswer: 9102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 3)\/((-3)\/44). Let b(g) be the third derivative of g**4\/12 + 9*g**3\/2 - 6*g**2. Let w be b(-8). What is the highest common factor of w and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 3 + 104*o - 124*o + 32 + 21*o**2. Let c be k(-22). Put c, 4, -3 in descending order.\nAnswer: 4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -530, 264, -3\/5?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**9\/84 - v**5\/20 - 2*v**2 + 5*v. Let w(m) be the first derivative of f(m). Find the third derivative of w(y) wrt y.\nAnswer: -720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 26*m**2 - 14*m - 14. Let l(g) = -5*g**2 + 3*g + 3. Let r(w) = -14*l(w) - 3*q(w). Let h(u) = 3*u**2. Give h(r(o)).\nAnswer: 192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 489.1 and 5.\nAnswer: 2445.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 8:42 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 5*k**5 + 3*k**5 + (-2 + 2 + 2)*(-9*k**5 + 33*k - 33*k) + 9*k**5 - 2*k**5 - 3*k**5.\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4074 - -4354. Calculate the greatest common divisor of j and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8. List the prime factors of a(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - v**2 - 68 - 76 - 76.\nAnswer: -v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 0, -14, -34, -60, -92, -130?\n\"Answer: -3*c**2 + c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -17.5. Let f = 0.2 + -0.3. Let p = f - -0.3. Sort w, 4, p in ascending order.\nAnswer: p, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**6\/12 - x**5\/5 - 19*x**4\/24 - x**3\/2 - 33*x. Determine n, given that s(n) = 0.\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 22*p - 11 + 7 + 0 to the form a + g*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10413833500 to the nearest one million.\nAnswer: 10414000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2 + 7*m**3 + 0*m**3 + m**2 - 2*m - 6*m**3. Determine z(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 33*p - 28*p. Calculate the remainder when p is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263443 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q + 20 = 55*q, -5*r - q + 4 = 0. Let h = 1.9 - 2. Suppose p - 5*p + 10 = u, 0 = -3*p + 3*u. Which is the closest to h? (a) -0.1 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -850350 and -2.7.\nAnswer: -850352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from bbbaabbbb?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4*y**3 + 18382019*r**4 - 18*r*y**2 - 33*r + 4*y**3 + 14 wrt r?\nAnswer: -12*r**2*y**3 + 220584228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:21 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**4 + 3*p**2 - 2*p. Let k(l) = l**4 + l**3 - 4*l**2 + 2*l. Let b(i) = -3*j(i) - 2*k(i). Let b(g) = 0. Calculate g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/34 + 59\/102. Which is the closest to k? (a) 5 (b) -0.2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {m: 2, g: 2, l: 12, v: 1, s: 2}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2935*a**3 + 5215*a**2 + a.\nAnswer: 17610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -1\/6*f**4 + 0*f - 1\/30*f**5 - 2*f**2 - 1\/3*f**3 + 0. Factor h(o).\nAnswer: -2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/9 + (-2)\/(-6). Differentiate 4*n**2 + n**4 - 4*n**m + 3 wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 12*y**2 + 7*y - 4*y + 19*y + 16*y.\nAnswer: -12*y**2 + 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.94 rounded to 2 decimal places?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 34. Let a = -2.94 + -12.36. Let d = j + a. What is the biggest value in 0, d, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.5, -0.2, -1\/15, -1.9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 38*u**2 - 110*u + 46. Calculate w(35).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = -q - 2, 4*q = a + 31. Suppose 5*n + 2*r - 15 = 0, q*n - 15 = 3*n - r. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/153 and 107\/102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*b + 33 = 0, o - 19 = b + 3*b. Suppose 3 = v - o. Let d = 22 - v. Solve 0 = -4*p - n - 9, 3*p + n + d = 2*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 13*l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 13*m + 12. Let g be l(-10). Let w = g + -68. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223613 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: Express -303*m + 324*m - 450*m - 419*m in the form a*m + k and give a.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2309 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i**2 + i + 11. Determine q(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296444 and 1332.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 341, 1259, 2793, 4919, 7613, 10851, 14609, 18863?\n\"Answer: -4*i**3 + 332*i**2 - 50*i + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30758 and 80782.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 65. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -51, -113, -201, -315?\n\"Answer: -13*k**2 + 3*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 322.26399 milliseconds?\nAnswer: 0.000089517775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9703425591 to three dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a**5 + 10*a + 49*a**3 + 22*a**4 + 45*a**2 + 14*a**4 + 19*a**4 + 26*a**3 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246 and 4871210.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5670 = j. What is the common denominator of -2*(33\/(-12) - 3) and (-2 - 1) + j\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u, -10 = -5*x + 2*u + 2*u. Let p be (x - 17\/10)*28\/42. Factor -1\/10*z**4 + 0*z**3 - 1\/10 + p*z**2 + 0*z.\nAnswer: -(z - 1)**2*(z + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17134 - -17119. Let o = -0.2 + 0.4. Put 2\/5, o, p, 3\/7 in decreasing order.\nAnswer: 3\/7, 2\/5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4577 is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443768 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -267218098*t + 507108946 with respect to t.\nAnswer: -267218098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -72, 0, -5 in descending order.\nAnswer: 0, -2, -4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*(108\/45)\/12\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 0, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*575\/(-325) - 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9 + 14*w**2 - 6 - 3 + 21*w**6 wrt w.\nAnswer: 2520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + -54. Suppose -9*o = -d - 61. What is the highest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.1. Let m = -23.9 - -23.4. Which is the nearest to k? (a) m (b) 0.9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2578, 2496, 2412, 2326?\n\"Answer: -a**2 - 79*a + 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t + 52*t**2 + 3*t**3 + 7*t**4 + 0*t**3 + 8*t**4 + 38*t - 11*t**4 to i*t + h*t**3 + n*t**4 + g*t**2 + w and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*c + 10, 12 = -2*c - 5*f + f. Suppose c*z = -3*z + 25. Suppose 4*o + 2*k = -o + 31, -z*o + 33 = k. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**3\/3 - 9*t**2\/2 + 14*t - 8. Solve p(u) = 0 for u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*d**3*r**2 + 2*b**2 + 80*b*d**2*r**3 + b*d**2*r + 391*d**3*r**3 wrt d?\nAnswer: 6*b**2*r**2 + 2346*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*16\/4*-2. Suppose -n = -6*c + 2*c. What is the lowest common multiple of 9 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 23. What is j(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -554*f. Let r(a) = -63403*a**2. Calculate r(g(c)).\nAnswer: -19459395148*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.215 kilometers in meters?\nAnswer: 803215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -413, -1492, -3253, -5702, -8845?\n\"Answer: -c**3 - 335*c**2 - 67*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -170 in descending order.\nAnswer: 3, 2, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -15) + (0 - -1) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (1\/4)\/(4023\/(-127544))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -1783, -3892, -6799, -10498, -14983?\nAnswer: -20248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5*w - 2. Let s be p(7). What is the common denominator of (-5)\/s*51\/2 and 57\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -66. Find the first derivative of 28*y - r + 36*y - 5*y - 3*y wrt y.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 430064, 430216, 430624, 431414, 432712?\n\"Answer: 21*s**3 + 2*s**2 - s + 430042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gupplpupl. Give prob of picking 1 p and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180919\/18 - 10058. Calculate the common denominator of (6 - 3)*73\/30 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 351 - 915 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -539, 5 in increasing order.\nAnswer: -539, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1709.752 millimeters?\nAnswer: 170.9752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 854565610 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by (-2972)\/(-10) + 25\/(2875\/92).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g + 326 = 673 + 769 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 112. Suppose -m*o = 2*g - 168, 0*o + 2*o = -4*g + 344. Does 29 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtiiyityituubtyiytyi. Give prob of picking 1 b and 3 y.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2768, -5237, -7706, -10175, -12644, -15113?\n\"Answer: -2469*k - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3980 divide 112339480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = -5. Let b = p - 4. What is the remainder when 29 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 817*f + 15786. Calculate w(-183).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 - 61. Let j(w) = w**2. Determine j(b(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-18))\/((-44)\/88). Which is the second smallest value? (a) s (b) -1\/3 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 876 divided by 2.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 22 = 2. Let a be (-4 - 1)\/(v + -3). Let b(c) = 28*c**2 + 4*c - 7. Is b(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/399*12\/(-4 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123039653*t + 105021646?\nAnswer: 123039653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 4294781 + 4294781.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r + 4. Let d(w) = 7*w + 5. Let v(q) = 5*d(q) - 6*z(q). Let l(b) = b**2 + 10*b - 1. Let c be l(-10). Let g(u) = -9*u + 7. Give c*g(a) + 6*v(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 263*j + 15. Let l(s) = -s**2. Determine q(l(d)).\nAnswer: 3*d**4 + 263*d**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 133815415 and 133815415 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:12 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 331324322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**3 + 9184*a**2 - 9184*a**2 + (a - a + a**2)*(2 - 2*a - 2) in the form o*a**3 + u + d*a**2 + v*a and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -792*z**5 - 2*z**4 + 11*z**3 + 60657*z.\nAnswer: -15840*z**3 - 24*z**2 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - g = -2869, -2*l - 6*g + 5*g + 1437 = 0. Suppose -166 = 11*c - l. Does 51 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 + -171. Let q(k) = -2*k + k + k - 5 - 3*k. What is q(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146420 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102211 + -323?\nAnswer: 101444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 419. Let z = 8 + 0. Suppose z*g - 2 - a = 0. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c**2 + 3*c - 1. Let b(v) = 2*v**2 + 2. Give 2*a(m) + 2*b(m).\nAnswer: -30*m**2 + 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7024765 a multiple of 1895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-5)\/30*-3). Suppose -9*w = -10*w - 3. Put w, h, 2, 4 in descending order.\nAnswer: 4, 2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 27. Suppose 0 = -2*t + d + 3, -4*d + 1 = -i*t - 2. Differentiate 6*y - 2 - t + 5 + 11 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 2, w: 1, s: 1}. Give prob of sequence wfj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9353489 and 17637?\nAnswer: 28060467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 193 (c) 2 (d) -1\/3 (e) 4 (f) -0.1 (g) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 47831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -113*f**2 - 12*f - 6. Let d(m) = 18*m**2 + m + 1. What is 7*d(n) + u(n)?\nAnswer: 13*n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**3 + 33*l**2 - 29*l - 172. Give o(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let g(x) = 2 + 2*x + 5 + 3*x**2 - 4 - 2*x**t. Determine g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 681538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 8*h**2 - 8*h + 4. Suppose 7 = -t - 0. List the prime factors of w(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 26*q**3 + 123*q - 3*q**3 - 51 - 122*q - 5*q**2 in the form y*q**2 + i + t*q**3 + c*q and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110200 or 110215?\nAnswer: 110200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from ineineneieiei?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132109 and -4.\nAnswer: -528436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949739 to the power of 1\/2, to the nearest integer?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868.6634 litres to millilitres.\nAnswer: 868663.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/11 + 1432*v**3\/11 - 644*v**2 - 18472*v\/11 - 9954\/11 = 0. What is v?\nAnswer: -1, 7, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 120*l**2 + 118*l + 41. Let t be v(-39). Factor 4\/5 + 2*y**3 + 2\/5*y**4 + 14\/5*y + 18\/5*y**t.\nAnswer: 2*(y + 1)**3*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y + 125. Let r be f(0). Solve -4108*i + r*i**2 + 4108*i + 5*i**4 - 50*i**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(275) + 2 - (sqrt(275) + -5*(-1 + sqrt(275)) + -5*(sqrt(275) + sqrt(275) + 1)))**2.\nAnswer: 150*sqrt(11) + 61876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 6*b - 3. Let x(o) = -12*o + 1 + 8*o - o**2 + 2*o + o. Determine -m(h) - 6*x(h).\nAnswer: 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q - 12. Let p be l(-3). Let r be (13 - 16) + 1*p. Suppose 0 = -r*h - d - 12, 4*h = -2*d + 3*d - 23. Put h, -1, 1\/4 in descending order.\nAnswer: 1\/4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*n - 3*s - 1 = 0, 3*n - 3 = -3*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-444))\/(1378\/25493).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*b + 5*o, 5*b = 5*o + 90 + 10. Suppose 0 = -l - l + 22. What is the remainder when b is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 8) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 18\/(-16))*(112\/56 - -406).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 5 + 2\/1. Let j = 3 - 7. Let r be 11\/15 + j\/g. Is r >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 42404233002?\nAnswer: 42404233002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 108 = -4*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -851\/16 + 7627\/144. Which is the closest to 2\/163? (a) -1\/2 (b) -1 (c) w (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 2:59 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 21*n**2 - 373*n + 5742. Let f be i(18). What is r in -9\/5*r**5 + 6\/5*r**4 + 63\/5*r**3 + f + 12\/5*r**2 - 36\/5*r = 0?\nAnswer: -2, -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281\/18 + 145\/9. Let x = 9 - 6. Factor 1\/2*b**x - 1\/2 - 1\/2*b + w*b**2.\nAnswer: (b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220210122 + 210111?\nAnswer: -11220000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120000211211010 (base 3) in base 16?\nAnswer: 79e41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 5*g + 29. Let a be 0 - 6 - 4\/(-2). Let y = 2 - a. Calculate the greatest common factor of y and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvvvwjvvv. Give prob of picking 4 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -24010102?\nAnswer: -24010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35018202?\nAnswer: 2, 3, 1283, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-104))\/(24\/12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i**2*r - 18233*i**2 - i*r - 29*r wrt r.\nAnswer: 5*i**2 - i - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0\/(-3)) + 0. Factor v*c**4 + 2*c**5 - 6*c**4 + 4*c**4.\nAnswer: 2*c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 12 - 2 - w + 3*w**3.\nAnswer: 3*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96674.1582 take away 0.081822?\nAnswer: 96674.076378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 2 l when four letters picked without replacement from {l: 1, w: 7, g: 3, y: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 6 - 4*b - 6 - 610*b**2 - 4*b + 14.\nAnswer: -610*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2653.\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 25*r**3 - 24*r**3 + 7 + 5.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16617, 28997, 41377, 53757, 66137?\nAnswer: 78517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 25*x**2 + 28*x + 5. Let w(h) = -6*h**2 - 7*h - 1. What is 2*r(n) + 9*w(n)?\nAnswer: -4*n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.11 (b) -348 (c) -0.7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 - 3695833*i + 3695833*i.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.1. Let d = -0.68 + 0.76. Which is the closest to d? (a) 0.4 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose -105 = 9*i - 357. Find the third derivative of 10*x**p - x**3 - i + 13 + 15 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 19*t - 3. Suppose 2*n + t - 9 = 0. Suppose 0*b + 350 = n*p + 2*b, -2*b = 5*p - 590. Calculate the greatest common divisor of p and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832) - sqrt(832))**2 - sqrt(325)*5 - (4 + (sqrt(117) - (sqrt(117) + sqrt(117) + -1*sqrt(117) + sqrt(117)))\/sqrt(9)).\nAnswer: -24*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1653 and -94\/16359.\nAnswer: 474411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-7)*c*c*c*c)*c**6*c**0\/c**(-9))**(14\/3) assuming c is positive.\nAnswer: c**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 + 0*v**3 + v - 1\/10*v**5 - 1\/4*v**4 + 0. Find the third derivative of k(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -101001212100?\nAnswer: 101001212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32340*d - 32340*d - 3*d**3 + 0*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p**2 + p**2 + 5 - 4*p - 3 - 5*p. Let n(u) = -7*u. Let l(q) = 20*q. Let b(i) = 6*l(i) + 17*n(i). Let j(g) = -6*b(g) - t(g). What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67342 - -125800. List the prime factors of u.\nAnswer: 2, 3, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 971 + 1 - (-4 + (2 - 1)). Let p be 345\/b - 1\/5. Let y be (-11)\/12 - 2\/6. Sort y, -0.6, p in decreasing order.\nAnswer: p, -0.6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 32. Let b be k(-14). Suppose 0 = b*t - 4*z + 15 - 43, 5*z = -3*t - 19. Solve -5*g + 3*w - 25 = 0, -4*w = 4*g + 18 + t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 15\/14 in descending order.\nAnswer: 15\/14, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 + 8*u**3 - u**3 + 6*u**2 - 6. Let b(o) = -2*o**3 - 11*o**2 + 11. What is 6*b(j) + 11*l(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7559204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 82*d - 38. What is h(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3069 and 3053?\nAnswer: 3989.9657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 13) to base 2.\nAnswer: 10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let l = 3 - s. Let o = -29 + 29.1. Which is the nearest to -1? (a) l (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 7*u**2 - 5*u**2 - 914*u**3.\nAnswer: -914*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232660, -232636, -232594, -232534?\nAnswer: -232456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**2 + 0 - 61\/3*f.\nAnswer: f*(f - 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 134510*v - 20. Let a be h(2). What is a rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438533185 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446456134.\nAnswer: 2, 37, 41, 147151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6992.004641 + -6992. What is j rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -16.4. Let m = 28 - q. Let v be 28\/(-21) + 0 - (-3 - -2). Is m at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**3 - 728*v**2 - 33840*v - 64800 = 0.\nAnswer: -90, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -147887.\nAnswer: 147886.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/5*-1 - 18\/(-30). Is g less than or equal to 19\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 2. Let y(b) = -14*b + 6. Let v(s) = 117*s - 939. Let j be v(8). Suppose 5*h + 6 = -5*q - 44, -2*q = -4*h - 28. What is h*a(z) + j*y(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.66538 + -0.16538. Which is the smallest value? (a) u (b) 3 (c) -2\/5 (d) 0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33444 by 9.\nAnswer: 3716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2677 + 9056. Suppose 2*g + t = -15*d + 16*d, 0 = -4*d - 5*g + 25555. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2*a - 8*a)*(-41 - 57 + 51)*(-2*a - a + 2*a) in the form p + v*a + s*a**2 and give s.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/120 - v**5\/60 - 5*v**4\/24 - v**3\/2 - 4*v**2. Let r(h) = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 5)*(-72*b + 20 - 21 - 2*b**2 + 3*b**2) + 2*b**2 - 25 + 25 in the form j*b**2 + k + p*b and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -7142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*o**3 + f**3*o + 5*f**2*o**2 + 41*f*o**6 wrt o?\nAnswer: 12*f**3 + 4920*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105620189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99297 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:35 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12 + 32\/(-30))*10. Let l be h\/(11 - (5 - 4)). Let z = -6 + 3. What is the biggest value in l, 27, z?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -3b?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 64. What is the remainder when 31 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1510346*a - 380. Let p be b(-30). Round p to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9433.518 kilograms to tonnes.\nAnswer: 9.433518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -30 - (-39 + 5 - -23) - (1 - 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68111561 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110410423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334 - 2334\/7. Let r = 0.9 - -0.1. Let x = r + -1. Which is the smallest value? (a) -3 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89531414 is divided by 154.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 109 = 3*r, 0 = 3*r - 6*r + 3*k + 105. Let m be (-21)\/(-35) - r\/10. Calculate the remainder when 41*(-3 + 0)\/m is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 5, -1, -2, 333 in decreasing order.\nAnswer: 333, 5, 4, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -k + 42, 4*t = 7 - 3. Let o = k - 87. Let r = 57 + o. What is the greatest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9957, 37672, 83863, 148524, 231649, 333232, 453267, 591748?\n\"Answer: -h**3 + 9244*h**2 - 10*h + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4\/2 + 4784*k**3\/3 - 88621*k**2\/6 + 1941*k = 0. What is k?\nAnswer: -647, 0, 2\/15, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 a factor of 56197306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {q: 1, f: 1, s: 1, z: 4, j: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/120672 and 89\/149583.\nAnswer: 14359968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-16))\/(-7)*-1*(-1)\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2998 - -2998.06148. What is b rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)*(-3)\/(-9). Suppose 3*m - m - 182 = 5*w, t = -5*w - 20. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73394?\nAnswer: 2, 36697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f\/f**(-7))\/f))\/f*f*f*f**(-10)\/f*f*(f**(-3))**(-1\/51))**(4\/19) assuming f is positive.\nAnswer: f**(-1084\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 39*s + 31. Determine f(-40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-245)\/70*(-1)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 57 (b) 28 (c) 0.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/33)*l**(8\/5))**(1\/4) assuming l is positive.\nAnswer: l**(259\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 107442 and -7.76 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2*g + 0)*(0*g - 3*g + g)*(2*g - 1 + 1).\nAnswer: -8*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1318, 3862, 7632, 12628, 18850?\nAnswer: 26298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 154195714, 308391428, 462587142, 616782856, 770978570, 925174284?\n\"Answer: 154195714*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*g = 113*g + 11724. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6)*((780\/50)\/(-13))\/(9\/(-135)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/(-8)*-6)\/(-1). Calculate the greatest common factor of 90 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2635 - -2634. Sort -2, 5, n, -3.\nAnswer: -3, -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:17 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14327816?\nAnswer: 2, 67, 26731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -4\/3*u**3 - 10*u + 1\/2*u**2 - 1\/4*u**4 - 13. Does 26 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567909913.\nAnswer: 3, 855969971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3426 - -8648. Suppose 4*x - g = 2642. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (6 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by 109.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 68. Let j(h) = -h**3 - 14*h**2 + 13*h + 12. Let w be j(-15). What are the prime factors of (r + 1)*14\/w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 291?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -818\/7. Which is the third biggest value? (a) -2 (b) m (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 38 = -5*t, -53 = -5*a - 4*t - 180. Let m be a*(1 + ((-72)\/(-6))\/(-6)). Solve -d = d + 5*r - 5, 4*d = r - m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-120)*-16 + -1 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - i + 15 = 0, 3*q + 4*i = 1 - 9. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 + 3. Let s be n(5). Suppose -17 - 7 = -s*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002578 to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16624741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0204 times 975?\nAnswer: 19.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 6*b + 2. Calculate the remainder when h(-5) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -43, -3 in descending order.\nAnswer: -2, -3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 463? (a) -0.3 (b) -176 (c) -5 (d) -333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3 + 90*n**2 + 372*n + 133. Determine y, given that o(y) = 0.\nAnswer: -2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1.3, -0.069, -4?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/4 - 13*b**3\/6 - 6*b**2 + 30*b. Let t be w(-6). What are the prime factors of t - (-7)\/(14\/(-8))?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 6960 = -4*x. Let y be (x\/(-3484))\/2 - 0. Let n = y + -12\/67. What is the third biggest value in n, 3, 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151.95 - 0.95. Let t = 130436498 + -130436346.999857. Let d = b - t. What is d rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from ebeyebbbbeeybdx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:57 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 50*x**5\/3 - 1930*x**4 + 21508*x**3\/3 - 25640*x**2\/3 + 3888*x - 1792\/3 = 0?\nAnswer: 2\/5, 1, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1202, -4950, -11196, -19940, -31182, -44922, -61160?\nAnswer: -79896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 107. Solve 5*u - 3*b + 12 = -4, -u + 3*b = -t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let f(j) = -55 + 42*j + 55 - 17*j + j**2. What is f(x(t))?\nAnswer: t**4 + 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1440.21 + -1458. Let y = o - -18. Let d = y + -0.11. Which is the biggest value? (a) d (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2352 = -5*c. Suppose -5*o = -407 - c. List the prime factors of o\/5 + (-1)\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9228*r**6 - 945*r**2 - 2*r + 1 wrt r.\nAnswer: 1107360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13794 - 96562\/7. Let b = -1.6 + -0.2. What is the biggest value in b, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332223 by 1.\nAnswer: -332223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -4\/3 (c) -2\/3 (d) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*4\/(-78) - 81*(-77)\/(-273). Is -0.17 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2720 + -1480. Is q a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 45. Suppose -3*c = -k - 14. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 3*j - 6, -9 = -2*j + r. Let w = -4\/13 - -2\/91. Which is the nearest to w? (a) -2\/9 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 369*p + 2*p**2 - 1 + 5*p**4 - 369*p + 0 in the form d + n*p**4 + h*p**2 + m*p + c*p**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022046 to five decimal places.\nAnswer: 0.02205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (7 + -8)) + 2 - (14 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*z = 9, 3*n - 2*n = -5*z - 15. Suppose 0 = -n*h - 3*h - g + 151, -5*h + 249 = g. Suppose h*l - 46*l - 96 = 0. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*d*v - 10*a*d - 2875*a*v + 90 wrt v?\nAnswer: -a*d - 2875*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011110111 (base 2) to base 11.\nAnswer: -3299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30161679 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + r - 1. Let k(q) = 17*q**2 + 3*q. Let y(u) = k(u) - 3*t(u). Differentiate y(a) wrt a.\nAnswer: 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 4*x)*(0*x + 3*x - x) - 31*x**2 + 27*x**2 - 50*x**2 + 2.\nAnswer: -56*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2394924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 43 = -5*v - 37, 0 = 5*v - 4*z + 80. Let g(a) = -a - 18. Let s be g(v). Is (s - 84\/(-8))*26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j - 14. Let k be v(3). Let l = k - -54. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:44 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/9)\/(1005\/(-268))*1\/(-14)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*y*z - j**3*y - 2*j**3*z**2 + 3*j**3*z + 9*j**2*y*z**2 - 247*y*z**2 - 9*y*z + 51*y wrt z?\nAnswer: -4*j**3 + 18*j**2*y - 494*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 5 (c) 0 (d) 2\/14895\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217784 and 14840.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 - 564*c + 63008\/5.\nAnswer: -2*(c - 22)*(c + 1432)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -68*s + 755. Is 52 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - 34*o**3 + o - 26*o**3 + 14*o**2 + 62*o**3 as g*o**2 + b*o + i + j*o**3 + u*o**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/47, 0.1, 1.1, 3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:47 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m. Suppose 3*q = -54 + 3, -16*z - 302 = 12*q + 2*q. Sort z, 11, m in ascending order.\nAnswer: z, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 5. Let i be v(4). Calculate the highest common factor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95962 or -95843?\nAnswer: -95843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 85?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14305 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 6*l - 4*f - 12, 23 = 3*l + 4*f. Let x(h) = -2*h + 3 + 3*h + 5. Let n be x(-6). Calculate the greatest common divisor of n and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, -1, 0, 4.\nAnswer: -174, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 0*w - w + (-5*w + w + 41*w)*(-2 - 2 + 3) - 5*w + 3*w + 0*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366848 and 17196.\nAnswer: 1100544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:00 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*l - 16, -5*z + 10*z + 20 = -3*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*l = -11, 3 = 2*u + 3*l + 2. Let p be ((-8)\/(-10))\/((-2)\/10). Are u and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102630400 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.00600356.\nAnswer: 0.0300178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 + 24*j - 384 = 0. What is j?\nAnswer: -16, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 111 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 u when four letters picked without replacement from {u: 7, n: 7, p: 2}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7179*f**2 - 7209*f**2 - 7184*f**2 + 28830*f**2 - 7202*f**2.\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 67 + 53. Suppose 3*c - n = 3. Let j = -5 + c. Solve j*u + 6 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030021 (base 4) to base 3\nAnswer: 20200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -683\/222 - 28\/37. Let j = 384361 - 6918509\/18. Calculate the common denominator of f and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3296, 6590, 9884, 13178, 16472, 19766?\n\"Answer: 3294*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 1584 = 3912. Let a = 229 - u. Solve -5*g - 9 + 4 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + 21*z - 4. What is the tens digit of g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 - 1 = 0. Suppose k = -5*x - 11, -z*k + k - 4*x = 0. Suppose k*v = 2 + 42. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 - 3068*a**2\/7 + 1176578*a\/7.\nAnswer: 2*a*(a - 767)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b**(-7))**7\/((b**(1\/7)*b**(-7)\/b)\/(b**(1\/5))**(9\/2)) assuming b is positive.\nAnswer: b**(-4777\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 4130652?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2480 + 11645. Calculate the greatest common divisor of q and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9571169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 309880 and 248.\nAnswer: 9606280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 + 36*f + 34. Let n be c(9). What is the greatest common divisor of 238 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1392985 * -0.04\nAnswer: 55719.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from ddoudddddcddddc.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 12.6596\nAnswer: 6.3298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*o**2 - 28*o**2 - 83*o + 72*o**2 - 20*o**2 - 108*o in the form w*o + y + b*o**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 3*r + 2. Let k be b(2). Let h = -48 + 51. Find the second derivative of -k*c**h - 3*c + 5*c - 3*c wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125384071 to the power of 1\/2, to the nearest integer?\nAnswer: 11198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15816 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000574618992 rounded to 6 decimal places?\nAnswer: 0.000575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)*o*o)**(-14)\/((o**1\/o)\/o**6))**(-8\/3) assuming o is positive.\nAnswer: o**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/4))**(-47) assuming q is positive.\nAnswer: q**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 876 + -876. Suppose 2*y = 5 - 7, x = 5*j + 3*y - 787. What is the remainder when j is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chcc when four letters picked without replacement from {n: 1, c: 7, u: 1, h: 4}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 340\/(-1870) - (-8 - (-8355)\/1056)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 600, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 14*d + 35. Let n be v(11). Solve -b = 2*p + 10, -n*p - 4*b - 6 = 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrb when four letters picked without replacement from grgbbgrrbgbrgg?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6355, -6625, -7075, -7705, -8515, -9505, -10675?\nAnswer: -12025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 10 = 0. Suppose -95 = -5*u - 5*h, 5*u + 3*h - 38 = 3*u. What is the remainder when u is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/843? (a) 1\/3 (b) -1 (c) 6 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 g when four letters picked without replacement from zozzgngaznanaagnagna?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -17 + 69 + -101\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 1001000111010?\nAnswer: 1001000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 - (37 - 31 - -7 - 21)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 46 = 24*x - 29*x, 47 = x - 5*i. Suppose -o = -5*b - 3*o + 26, -3*b = 4*o - 10. Let f be (-27)\/6*(-1)\/b. Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1518 by -15149.\nAnswer: 1518\/15149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 194042405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/8 - 59*c**3\/6 + 1430*c**2. Give n(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136538 divided by 2.\nAnswer: -68269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0 (c) 0.235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6797*x + 129126. Give q(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 957, -4 in increasing order.\nAnswer: -4, 0, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/9 + 13*r**4\/3 - 85*r**3\/9 - 119*r**2\/9 + 56*r\/3 + 164\/9 = 0.\nAnswer: -41, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -1\/3*j - 3 - 1\/9*j**3 - 1\/3*j**2. Solve h(f) = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 10023?\nAnswer: 10050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/90)\/(1\/(-4)) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 29. Let o be y(10). Let g be (7 + (-210)\/18)\/(o\/(-3)). Is 33 a factor of (24\/g)\/(17\/1071)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5570737.2 minutes?\nAnswer: 3868.5675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11143319500 to the nearest 1000000.\nAnswer: -11143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11568159, -23136327, -34704495?\n\"Answer: -11568168*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 + 21*a - 218 + 477)*(2*a + 5 - 3 + 2).\nAnswer: 42*a**2 + 168*a + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-73)\/(-146)*(-2)\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11805 in 0, -4\/5, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 779*h - 19443. Give c(25).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1499, -3 in increasing order.\nAnswer: -1499, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4492 - -6?\nAnswer: 4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.666 and -4?\nAnswer: -2.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -451603, -451692, -451781, -451870, -451959, -452048?\n\"Answer: -89*s - 451514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25742 and -32715309.\nAnswer: -32715308.74258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 7*g**2 + 6*g + 7. Let j be r(-6). Let n = 450 + -114. Suppose n = j*t - 0*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*a**4*p*y - 13*a**4*y + 9*a**3*y + 2*a**2*y + a*p*y + 9839*a*p - 2*a*y + 2*y wrt a.\nAnswer: 648*a*p*y - 312*a*y + 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -32. Let p(z) = 7*z**2 + 2*z - 5. Let d(y) = -8*y**2 - 3*y + 5. Let w(h) = 6*d(h) + 7*p(h). Determine w(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-45)*((-12)\/(-8) - -1). Put 2, r, -1\/2, 1\/4 in ascending order.\nAnswer: -1\/2, r, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975, -1213, -1611, -2169, -2887, -3765, -4803?\nAnswer: -6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/(-12) + 2\/(-8). Let v = s - -9. Factor -2*a + 2 - a**3 + 0*a**3 - 3*a + v*a**2.\nAnswer: -(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:42 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5708.96 times -262\nAnswer: 1495747.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*g, -f + 2*g + 29813 = 4*g. List the prime factors of f.\nAnswer: 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3283443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986244 and 6547100?\nAnswer: 5572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7365 >= -7366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 2*y**2 - 5*y - 37. Let m(n) = n**3 - 3*n**2 + 8*n + 56. Give 8*a(b) + 5*m(b).\nAnswer: -3*b**3 + b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o + 240. Let c = o - -84. What is the greatest common factor of c and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:50 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29636066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 96 + 99, 2*c + 5*a = -13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 26*v. Let p be r(6). What is the greatest common divisor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/8, -45, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 21701858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77732*i**2 - 1 + 1 + 77964*i**2.\nAnswer: 232*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j = 33*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 6*f**2 - 4*f - 3*f**2 + 2*f**2. Let a be x(1). List the prime factors of a\/12 - (-13)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 3*p**2 + 2*p - 3. Let d(h) = h**3 - h**3 + 4*h**2 + 4 - 5*h**3 - 3*h. What is -2*d(y) - 3*v(y)?\nAnswer: -2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 479\/4 + 2\/(8\/(-3)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-19)\/(-38))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10435716338 and -153?\nAnswer: 10435716185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 56 = 4*f - 210, -2*f - 2*x + 82 = 0. Let g be (3 + -2)*6*9. Calculate the highest common factor of f and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 2. Calculate n(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25.940235 months?\nAnswer: 0.216168625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -776 + 3?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -24*t**3 - 2*t**2 + 2*t - 1. Let m(u) = -u**3 - 5*u + 1. Let j(f) = -50*f**3 - 5*f**2 - 5*f - 1. Let h(q) = -j(q) + 2*m(q). Give -5*d(s) - 2*h(s).\nAnswer: 24*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:54 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 59, -14, 0, -640.\nAnswer: -640, -14, 0, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**3 - 33*i**2 - 144*i - 27. Is 27 a factor of t(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*k**2 + 8*k + 6*k**4 - 269*k**2 wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 144\/27) + 16\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/5 + 27*b**2. Let x(z) = -3*z. What is t(x(l))?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 4*m)*(2*m + 4 - 4 - 3 + 3 + m + (4 - 3 + 4)*(-3*m - m + 5*m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -32*j**2 + 62*j + 231. Calculate l(-3).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -20*132\/1*(-70)\/20. Round i to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 + t + 9. Let j be o(9). Suppose 8 = -j*k + 22*k. Suppose u = 2*z - 0 + 9, k*u - 19 = 5*z. Is 33\/4 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8430128 and 5\/14.\nAnswer: 8430128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 558\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1104\/144 + 2*(-1)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 17458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 47 + 9 = -13*m. Solve -3*x + 5*q - m*q = -12, 5*x + 4*q - 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*1\/2*12\/660)\/(105\/(-350)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 - 4 = 0. Suppose 0 = -8*g + n*g + 30. Solve p - g*o + 3*o = 3, -5*p + o + 1 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -433 - -435. Suppose k*x - 69 = -0*x + 3*b, 3*b = -x + 30. What is the highest common factor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-3)*-1*(-99)\/(-1287)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**5*n\/(n*n*n**(5\/3)*n)*n*n**(2\/19))\/((n\/n**4)\/(n**10*n))**(-4) assuming n is positive.\nAnswer: n**(-3281\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*n - 1211 = -230 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*l - 317 + 318, d + l + 5 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 94\/21 - ((-4)\/(-6) - 0). Let j = -22\/7 + u. Solve -4\/3*s + j + 2\/3*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d\/d**(-1))\/d)*d)**(-18)*((d*d\/d**(-1\/5))\/d*d*d*d)\/(((d**(-2)*d)\/d)\/d*d) assuming d is positive.\nAnswer: d**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, -6\/41, 0, 53451?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 8:04 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:45 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 930, 7163, 24078, 57015, 111314?\n\"Answer: 890*r**3 + r**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140034 (base 6) to base 13.\nAnswer: 5ba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 12\/2)\/((-40)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 158370318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u - 5*u**2 - 3*u**2 + 1 - 4*u**2 - u**3 + 10*u**2. Let q be n(-9). Suppose 2*c - 5*i = q, -5*c + 3*i - 6*i + 1112 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2164 and 411701?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 190 = -196. Let o(h) be the second derivative of 0*h**z + 2*h + 0*h**2 - 1\/6*h**4 + 0. Let a(y) = -y**2. Give a(o(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/337? (a) -1 (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b + 132 = 38*b. What is the remainder when 103 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*v - 22. Factor v*t**2 + 1\/2*t + 0 + 3\/2*t**3.\nAnswer: t*(t + 1)*(3*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 346 or -1342?\nAnswer: 346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*k**4 - 2256440*k**3 - 17155036*k**2 + 7132784*k - 722304 = 0. Calculate k.\nAnswer: -8, 1\/5, 22572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 32 = -16*v. What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.44 - 0.5. Let w = 0.04 + q. Let p = w + -3.98. What is the closest to 2 in p, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/60 (b) 4\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.508 and -324.8?\nAnswer: 320.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 11 + 31 + 2 = -2*c, -2*c + c - 47*v = -229 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9 - 1)*0. Suppose m = -11*n - 2*n + 52. What is the smallest common multiple of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k - 1. Let b be (0 + 18)*(-4)\/(-12). Let o(h) = -5*h**2 + 13*h + 6. Let m(v) = b*w(v) + o(v). What is the second derivative of m(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(-3 + 27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 74?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 = 4. Suppose 6*f - 13*f + 7*f = f. Sort f, k, 4 in ascending order.\nAnswer: f, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13486 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131860459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 15, 85, 193, 345, 547?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*v - 1400, -3*v + 602 = y - 444. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6959)\/34795)\/((-3)\/960).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19115959 to the power of 1\/2, to the nearest integer?\nAnswer: 4372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22384 + 0*k**2 + 21000 + 2*k**2 + k to the form b + u*k**2 + d*k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 88)*(-1)\/(-2). Let d = 65 - h. Suppose -3*b = -g - 22, 4*g + d = 4*b + 6. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:50 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:28 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 2*u - u + 0*u. Let n(s) be the second derivative of 5*s**4\/12 + 4*s. Give n(t(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 7141 = 7267 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 3. Let k be b(6). Let f = -23 - k. Let p(d) = -41*d - 2. Let c be p(-2). Calculate the highest common factor of f and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/2380*20 - 42422\/14. Which is smaller: y or -6057\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icicicooiiicoiiio. What is prob of sequence oc?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(272) - (sqrt(272) + 0)) + 2)*4 + 0 + 4*sqrt(272)*6)*4)**2.\nAnswer: 24576*sqrt(17) + 2507776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2 + 4 + 3 + (3 - 4 + 2)*(3 + 0 - 4))*(29*s - 30*s - s**4 + 2*s**4).\nAnswer: -16*s**4 + 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347967*p - 7872*p**2 + 187\/3*p**3 - 3101445\/2 - 1\/6*p**4 = 0.\nAnswer: 5, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc (base 13) to base 3.\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.592 - 0.092. Put c, -5, -0.1 in ascending order.\nAnswer: -5, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-216)\/28 + 4\/(-14). Let d = -13 - i. Let u be ((-38)\/5 - (-5 + -2)) + 56\/10. Put d, u, 2, -11 in descending order.\nAnswer: u, 2, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (-12)\/21 - 1095\/(-210)*1346.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.836 - 8.836. What is the second smallest value in 4, l, -24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmobbbmmmmkmvoo. What is prob of sequence kmb?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 47 = 2*m, -27 = -993*k + 984*k for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.67696788 * 0.5.\nAnswer: 2.83848394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 2*j - 4*j - 3*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 179303*z + 1613603. What is t(-9)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75782486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -46\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38115532*o**3 - 2539*o**2 + 14*o - 1183?\nAnswer: -228693192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 36*z = -40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 1, f: 3}. What is prob of sequence fjff?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 15*t**2 - 15*t + 17. What is h(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 at most -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016121217?\nAnswer: 109, 937, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 16) to base 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f)**(-5\/9)*f**3*f*f\/f**0)\/((f*f\/f**3)\/(f\/(((f\/(f*f**1*f))\/f)\/f))*f**(-3)*f*f**4) assuming f is positive.\nAnswer: f**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*m = -7, 0 = -4*r - 0*r - 3*m + 11. Suppose 9*f = 7*f - 14. Let d be 9 - (f - -5)*-2. Solve r*g = 3*g - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - -11) + -5 - -10) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 2*u + 1. Let a be z(1). Let f be (a\/(-3))\/(14\/105). Let n = f - -9. Which is greater: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571663174.\nAnswer: 2, 3, 523, 819523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 23 = 5*r, r + 4*q = 10 + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uppuupppppuuuuuu. Give prob of picking 1 u and 3 p.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952904923?\nAnswer: 109, 1109, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/46 - 50076\/9844?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5215 = -1303*p + 1304*p - 5*h, -p + 5206 = -4*h. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((5 - -3) + -10 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -567 + 577. Calculate the smallest common multiple of 3 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418220 and 22?\nAnswer: 418220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103133939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 m when three letters picked without replacement from zjamxxzaaxxxxamzmxz.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-572)\/55 + 12)\/((-2)\/(-11) + (-12)\/(-55)). Find p such that -4\/5*p**4 + 0 - 32\/5*p - 8\/5*p**2 + x*p**3 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.743 + 0.69. Let j = i - -0.041. Round j to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5350 and 60?\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14 - 3*z**2 - 12*z - 2*z**2 + 15*z**2 + z**3 + 2*z. Let p be x(-11). Solve 0 = 4*g - 8, -4*g = r + p*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - (-1 + 0) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslslssssclscss. What is prob of picking 1 c and 3 l?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 6 - (-1 - 12). Let g = 29 - i. What is the remainder when 55 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 + 4*a**3\/3 - 7*a**2\/2 + 9*a - 2. Let x be t(4). Let y = x + 38. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1386, -1388, -1408, -1458, -1550, -1696?\nAnswer: -1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:09 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let t be -2 + 11 + (-2)\/9*(-26 + 64). Factor -1\/3 + 1\/9*u**3 - t*u**z + 7\/9*u.\nAnswer: (u - 3)*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 415638*u - 1621078*u - 3.\nAnswer: -1205440*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 2227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/66*12*190. Calculate the highest common factor of 60 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574*h = -1556*h - 108 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -184, -204, -206, -184, -132?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 34879981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 24. Suppose j*p - 10*p + 40 = 0. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/3 + 7*z. Let p(w) = 9*w**2. Let b(x) = x + 12. Let k be b(-5). Let y = 2 + -5. What is k*o(t) + y*p(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.033\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + -65. Let a = 30 + c. Let x = a - -68. Solve 0 = -4*l + 7*l - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -101 + 311. What is the common denominator of (-2 - -2) + (-108)\/s and 19\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and 7870462 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 87. Let t = 46 + -70. Let l = t - d. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23708 = 381*y - 19136 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b - 16. Determine r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 100 - -46?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 20012122000?\nAnswer: -20012122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1866 and -37?\nAnswer: -69042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 673\/5. Let g be (-1 - (-469)\/476)\/(7\/(-56)). Let f = -3.06 - -3. Sort g, t, f in ascending order.\nAnswer: f, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*w + 3)*(-8 - 17 + 47)*(-5 - 1 + 3)*(-4*w + 4*w - 2 - 29*w**2) to the form t*w + p + h*w**3 + r*w**2 and give h.\nAnswer: -3828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 5:45 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - c**3 - c**3)*(-14479 - 3823 + 2968).\nAnswer: -30668*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 4*f + 6. Let u be x(-5). Let g be (-10)\/(-4) + u\/(-2). Solve g*c - 6 = 3*l + c, -4*c = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/68 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q. Let v = 8 + -15. Let h(y) = -2*y - 8. Let a be h(-7). Let d(n) = -54*n + 105*n - 48*n. Give a*d(k) + v*r(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((((u**(-1)*u)\/u)\/u)\/u))**(-1\/3)*u**(-4)\/(u\/(u**(-3\/5)*u)))\/(u*u**(-1\/7)*u**(-1\/5)*u*u\/((u\/u**6)\/u)*u*u**(-6\/5)) assuming u is positive.\nAnswer: u**(-1511\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.827 + -21.00335. Let u = -1.577 - j. Let g = u - -0.4. What is g rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*k**3 + (-4 + 4 - 2*k)*(-2*k**2 + 3*k**2 + 0*k**2) + 2*k**3 + 0*k**3 - 4*k**3)*(3 + 0 - 6) + (-1 - 2*k + 1)*(3*k**2 + 0*k + 0*k).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (-105)\/12*-4. Suppose 5*i - i - 300 = 0. Calculate the greatest common divisor of c and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-21))\/((-9)\/(-21)). Let r = v - -11\/12. Sort 0, -0.4, r in ascending order.\nAnswer: -0.4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151497?\nAnswer: 3, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/207*(18\/(-39))\/((-460)\/(-1196)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183\/20 + -35\/4. Suppose 0 = -q + 3*q - 2. Which is the nearest to q? (a) z (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 387*v - 56. Let p be l(-7). Let g = p + 5526. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 17. Suppose l*n - 4 = 11. Suppose 4*t - 3*w = 1, 2*w - 11 + 4 = -5*t. Is t != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*j - 4*j + j - 17 + 7 + 2.\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + -2 + sqrt(7))*-5*-1 + (sqrt(189) - (sqrt(189) + sqrt(189) + (-2*sqrt(189) - sqrt(189)))*-5)\/sqrt(432).\nAnswer: -30 + 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 14) to base 7\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -49. Calculate the lowest common multiple of h and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)\/v)**(16\/11) assuming v is positive.\nAnswer: v**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1946*j**3 - j**2 + 625*j**3 + 519*j**3 + 182 wrt j?\nAnswer: -4812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/55 (b) -4 (c) 5 (d) -1.6 (e) -0.1 (f) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.6 (b) 7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/5, 38, -0.08, -35 in descending order.\nAnswer: 38, 2\/5, -0.08, -14, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 7*i - i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -55, -23, 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1081 - 1080. Sort 99, -2, -4, v.\nAnswer: -4, -2, v, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1248 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = 255826*l - 255840*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.653 - 0.953. Which is the nearest to i? (a) 2\/9 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1062\/1062)\/((-6)\/390)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 5. Let r(u) = 4*u - 9. Let t(z) = 5*m(z) - 3*r(z). Let w = 4 - 1. Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85\/942 - -12\/157. What is the nearest to 0.2 in 1, j, 0, 0.09?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65828*r**4 + 1172*r**2 + 3 wrt r.\nAnswer: 1579872*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*n + 100, -2*m - 3*m + 2*n = 250. Calculate the common denominator of m\/(-10) - (-974)\/(-208) and -33\/10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202.8273 - -205.59. Round d to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11088821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 24930*j - 3 = -24932*j + 4, -3*t = -j - 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97\/42 + 15\/7. Sort 6\/5, c, -1.\nAnswer: -1, c, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -0.1.\nAnswer: -4, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546031837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4149 and 369722.\nAnswer: 3327498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*w - 6*p + 5*p, 4 = 4*w + 4*p. Put -1, w, -6, 1 in decreasing order.\nAnswer: 1, -1, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -34659*p + 69319*p + 114 - 34661*p. Let f(z) = -8*z. Give f(r(m)).\nAnswer: 8*m - 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 + m**2 + 2*m. Let j be s(0). What is the derivative of -3*w**2 + j*w**2 - 2*w**2 + 0*w**2 - 1 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(33)\/sqrt(3) + 1 - -6*sqrt(44)) + -2.\nAnswer: 3 + 65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134\/(49\/(-28) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0625821 rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108520 and 3560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v**2 + v**2 + 4*v**2 + 6*v**2. Let r(j) = -21*j**2. Calculate k(r(l)).\nAnswer: -882*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 a when four letters picked without replacement from {j: 6, l: 5, a: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 1 (c) -393\/263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1182, -1168, -1154?\n\"Answer: 14*p - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 21 = -4*x - 4*n, -4*x + 5*n + 311 = 0. Suppose 4*u - 26 = x. Calculate the highest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*j + 30 + 47 + 4.\nAnswer: -2*j + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 2*w - 3. Let k be b(2). Suppose -5*d + 13 = 2*s, -4*s + 3*d - 16 = -d. Let l be ((1 - 4) + -2)\/s. Put 0, l, k in decreasing order.\nAnswer: l, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 2, 106656?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 31827005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*k - 24 = -3*h - 136*k, 23 = 2*h + 5*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/3 - (-1 + 1). Suppose 4*w + 61 = -3*m, -w + 37 = -m + w. List the prime factors of (-144)\/m - d\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*j = -3*c + 34, c - 2*j = 6. What is the remainder when 37 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (57\/(-38))\/((-6)\/448) + 7 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -19*k**5\/10 - 13*k**2 + 6*k. Find the first derivative of n(q) wrt q.\nAnswer: -114*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15072 (base 9) to base 16\nAnswer: -281f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 2472 + 672. What is the least common multiple of f and 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35b259 (base 14) in base 11?\nAnswer: 104462a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**4 - 6*q**3 + 3*q - 338. Let j(c) = 5*c**4 - 7*c**3 + 4*c - 339. Let i(y) = -6*j(y) + 7*v(y). Differentiate i(o) with respect to o.\nAnswer: 76*o**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -10 (b) 2 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64260)\/56)\/85*2\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -35*h + 1\/60*h**5 - 21\/2*h**2 + h**3 - 1\/6*h**4 + 0. Let y(d) be the first derivative of t(d). What is y(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53993520*i = 53993511*i + 405 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -734*t - 736*t - 2*t**2 + 1470*t. Let k(s) = 4*s**2 - 4*s. Let r(b) = 5*b + 3*b - 5*b**2 - 5*b. Let d(c) = 3*k(c) + 4*r(c). Give h(d(f)).\nAnswer: -128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48247793 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 115*w**2 + 3260*w - 1380. Determine y(-53).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r + 4 + 19*r - 5 + 5*r**2 + 3 - 9*r to the form m*r + d*r**2 + x and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266\/19*(-783)\/1827.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49453 and 71723?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 22. Let k = 5 - -2. Let f = k + -5. Which is the closest to 0.1? (a) f (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:18 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 64*c + 1241 = -13*c + 341 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 134060.\nAnswer: 134060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/b**(-7)*b*b)*b*b**4)**(2\/19))**(-6))**(-1\/5) assuming b is positive.\nAnswer: b**(-36\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -12 - 4)\/(-1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**2*u**3*v + 7*n**2*u**2 + 192*n**2*v**3 + 2*n*u**2*v**2 - n*v**3 - 5*u**3*v**3 - 214*u**3*v wrt u?\nAnswer: 42*n**2*v - 30*v**3 - 1284*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 7. Calculate f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 165 + 64 - 633*l + 40 to the form d + m*l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 29*p**2 + 3*p - 3. Let k(t) = -494*t**2 - 52*t + 52. Let q(d) = -52*h(d) - 3*k(d). Let c(s) = -2*s**2. Calculate c(q(v)).\nAnswer: -1352*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/2)*a)**(-30)\/(a**(3\/2)\/a**(-4\/5)))\/((a**(2\/7)\/a)**(-1\/9)*a**(1\/3)\/(a\/(a*(a*a**(1\/5))\/a*a))) assuming a is positive.\nAnswer: a**(-9943\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 220 (c) -81 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2439 (base 16) in base 11?\nAnswer: -6a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/12 - 6\/12. Sort o, -5, 4, -12.\nAnswer: -12, -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**7)\/x**2*x*x**6*x*x**7 assuming x is positive.\nAnswer: x**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -98*z**2\/11 - 700*z\/11 - 1250\/11 = 0.\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 4*w - 3. Let g be (-9)\/(-6)*4\/2. Let y be v(g). Solve y*t = -3*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (113\/(-1921))\/(-12*15\/2160)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598, 2393, 5386, 9577?\nAnswer: 14966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 3. Let l be q(2). Suppose 2*y - l*y - 115 = 0. Calculate the common denominator of y and (-2 - 32\/(-14)) + (5 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 155 + 110 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 7) in base 9?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + -6 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*y**2 - 8 + 9 - 130*y**3)*(3*y + 4*y - 2*y).\nAnswer: -650*y**4 - 25*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.4 + 13.2. Let p = -536 - -535.71. Which is the closest to 1? (a) -0.4 (b) 2 (c) z (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -121?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {c: 1, y: 2, h: 2, k: 2, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 111\/2348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -45*w**3 + 15*w**2 + 105*w + 25. Let d(h) = 2*h**3 + h**2 - h + 1. Let y = -416 + 396. Let j(c) = y*d(c) - u(c). Factor j(z).\nAnswer: 5*(z - 9)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = -47*u + 640 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18920 divided by -5.\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - 10*j - 54*j**2 + 2*j - 7*j - 89*j**2 - 19*j**2.\nAnswer: -162*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.45 and -0.3.\nAnswer: 1.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*l - 18*l - 22*l)*(-4 + 2 - 1)*(1 - 2 + 2)*(1 + 3 - 1) in the form m*l + x and give m.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -10, r - 11 = 3*x. Which is the biggest value? (a) -2\/7 (b) 8\/39 (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 2\/93, -1, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (1 + sqrt(833) + 2)**2 - sqrt(833)) + sqrt(833).\nAnswer: 49*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*((sqrt(252) - (sqrt(252) + -2)) + -3 + sqrt(252)) - 2*(1 + 4 + sqrt(252)))**2.\nAnswer: -768*sqrt(7) + 4285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.49303 + 51.5. What is m rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*u + 2*u = 0. Let d be (6 - (-42)\/(-8))*(-4)\/(-6). Factor -1\/4*y**2 + 0*y - d*y**3 - 1\/4*y**4 + u.\nAnswer: -y**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -22180.382?\nAnswer: 22180.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5216*b**2 + 3125.\nAnswer: -10432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5398559.7 to the nearest one thousand.\nAnswer: 5399000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -588697, -2354841, -5298411, -9419401, -14717805, -21193617, -28846831?\n\"Answer: j**3 - 588719*j**2 + 6*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 2264 + 2264 + 0*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 1, -0.3, -2\/7, 0.3, 1\/4, -954?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/12 + j**3\/3 + j**2. Let c be y(-1). Solve 0 = 2*z + 5*k - 30 + c, 3*z + 5*k - 29 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 14*j = 27. Let h(b) = -b**3 - 4*b**2 + 9*b + 25. What are the prime factors of h(j)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -474 in descending order.\nAnswer: 4, 3, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, -7, 5143.\nAnswer: -7, -3, -2, 6, 5143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 46 = 23*m. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -280 - -3?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.6 + -33.3. What is the third biggest value in 22, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {f: 9, g: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1117, -0.07, 4, 0, 2, 0.1, -2 in descending order.\nAnswer: 4, 2, 0.1, 0, -0.07, -2, -1117","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 12 = 2*j, 11 = 4*j + 5*w + 47 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwfwfwwwwwfwwfwww. What is prob of sequence fwf?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:09 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4134 (c) 152 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 788391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 1 + 75 + 6. Let n be r(0). Let x = -26 + 58. What is the highest common factor of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17608 and 2.\nAnswer: -17606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 8\/7*o + 0*o**2 - 2\/7*o**3 + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 3*j - 14, 3*m - 22 = j - 2*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14396 and 4?\nAnswer: 14396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/125, -0.3, -4\/3621 in decreasing order.\nAnswer: -4\/3621, -2\/125, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3388, -0.17, 2\/13, 41\/9, 0?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3408806 is divided by 692?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o - 71. Let b be i(-7). Suppose -2*k - 4*q + 90061 = 17641, 0 = -4*q + b. What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 11*t + 51 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3. Let w(a) = -15*a**3 - a**3 - 2*a**2 - 8*a**2 + 10*a**2. Give 10*n(b) - w(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*a - 141*a - 17*a)*(-11*a**2 + 9*a**2 + 4*a**2).\nAnswer: -718*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -807.\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61749, 247024, 555811, 988110, 1543921?\n\"Answer: 61756*h**2 + 7*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {y: 3, h: 1, z: 2, i: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 35. Let p be ((-56)\/(-182))\/(3\/(78\/4)). Solve -2*v - p*v + x = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14628 and 23850.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 + 66905\/(-5700). Let g = 198\/19 + h. Let q = 29\/2 + -291\/20. What is the common denominator of g and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 2*v**2 + 8*v - 8. Suppose -5*u = -2*f + 4*f + 10, -5*f = -4*u + 25. Suppose -5*b + 28 = r - 8, -5*b + 25 = u. Is c(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34922621 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3 + 33*v**2 - 9*v - 405 = 0.\nAnswer: -3, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 9*v = -y + 16, y - 322 = 137*v - 1001 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 881 - 641. What is the highest common factor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 33. Let q be b(5). Factor 80*z + 112*z + 3*z**4 + q*z**3 - 84*z**2 + 8*z**3 + 228*z**2.\nAnswer: 3*z*(z + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*r - 15, 9 = 3*w - 2*r + r. Suppose -15 + 54 = w*o + 3*x, 2*o + 5*x = 35. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*j + 17 = 7*a, -j - 14 = -3*a. Suppose -3*k + 30 = a*d, -2*d - 3*k + 2*k + 11 = 0. Find the second derivative of 8*o**3 - 4*o - 3*o - o**d wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -2*m + 827. Suppose 35 = -5*s + m. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(2\/5))\/y*y)\/(y\/(y**(-2\/3)*y*y))*(y**(-1\/3)*y)\/(y\/((y*y**5*y)\/y)*y))\/(y**(-5)*y\/y**(-2\/11)*y\/(y\/y**1)*y\/y**(-2\/7)) assuming y is positive.\nAnswer: y**(2746\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10901 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*i - 24 = 0, -2 = 21792*q - 21787*q + 3*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 801030.\nAnswer: 12015450","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/7 + 32*y**3\/7 - 384*y**2\/7 + 2048*y\/7 - 4096\/7 = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - -0.01. Let w = j + -0.55. Let p = -0.6 + 0.5. Sort p, w, -3 in descending order.\nAnswer: p, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10117086158 + 45.\nAnswer: 44.89882913842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**29\/r)**35 assuming r is positive.\nAnswer: r**980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 60*w - 159. Suppose -8*c + 56 = -144. What is the remainder when s(-36) is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(-402)\/(-1876)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 2*n. Suppose 4*w = -2*u + 8, -u = 4*w + 6 - 2. Solve p + 2*j + 7 = 3, -n*p - 2*j - u = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-13335.44.\nAnswer: 5334.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3457 in 1, -1\/2, -1\/5, 0.04?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - u**3)*(281*u - 26*u**2 - 281*u).\nAnswer: 26*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/312 and -113\/1878.\nAnswer: 97656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.32 - 22.68. Let z = b + 23.00000003. Round z to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508 = 41*w - 63*p + 67*p, 16*p - 32 = 4*w + 12*p for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11021 (base 5) to base 10.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, p: 1, o: 8}. Give prob of picking 1 o and 1 p.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**8\/3360 + x**7\/420 + 2*x**4 + 19*x. Let f(b) be the third derivative of l(b). Factor f(h).\nAnswer: 2*h**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4914\/(-28))\/39*4\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 6*m**2 - 6. Let q = -3 - -16. Suppose -3*o = -3*d + 4*d + q, -2*o + 5*d = 3. Is j(o) a multiple of 26?\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 {a: 4, f: 3, x: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 4*h**3 + h**2)*(78 + 7*h + 74 - 161).\nAnswer: -28*h**4 + 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 4*a, -3*a + 2*a + 5*o = 10. Let x(f) be the second derivative of 0 + 1\/12*f**4 + a*f**3 + 0*f**2 + 2*f. Let y(v) = 2*v**2. What is y(x(b))?\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + o**2 - 1196. Let k be n(0). Let f = -826 - k. What are the prime factors of f?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 * 0.31405\nAnswer: -32.0331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 33, 24, 1, -42?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 368 + 1346*d**3 + 17 - d - 389 to y*d**2 + l*d + z + b*d**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:54 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t - 43*t + 1 + 72*t.\nAnswer: -24*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 - 6*u**2 + 3*u + 17. Let m be h(-5). Suppose -5*y - 3*w = -m, 225 = 4*y - 4*w + 37. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 8*y - 5. Let d be a(-5). Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide (-486)\/(-7)*(74 + -53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -159402.\nAnswer: 15940.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7403 (base 11) to base 7.\nAnswer: 40404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*o - 4*n, -5*o + n + 4*n - 15 = 0. Let u be ((-45)\/(-24) - o)*3. Let l = -9 + 4. Sort l, u, 2 in descending order.\nAnswer: 2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2241056199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + 17\/2. Let r = -7 + y. Find the third derivative of 5*w**2 - 2*w**2 - 4*w**r - 3*w**3 wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = i - 19, 0 = -99*i + 104*i + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2105 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34667443 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(1\/2)*(3 + 275\/25)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from yyxxxyyxtyxyt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u. Let h(b) = -1521*b**2 + 41*b - 2. What is h(k(g))?\nAnswer: -38025*g**2 - 205*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488\/5 + 22\/55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1748 and 257830?\nAnswer: 515660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in centuries?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3034 (base 8) to base 6\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 2824. Let h(q) = -63*q**2. Determine d(h(z)).\nAnswer: 63*z**2 + 2824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1551*c - 1555*c - 36 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14328, -28867, -43616, -58575?\nAnswer: -73744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.63 and 12222.\nAnswer: -7699.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u - 4. Let x(q) = 32*q - 12. Determine 11*f(m) - 4*x(m).\nAnswer: -7*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.6 + 0.8. Let v = 86 - 42. Let o = l + v. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 149 = -4*s, 3*f + 108 = -4*s - 65. Let u be (-2 - -1)*(s - 3). Let c = -28 + u. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 0. Suppose -61*c - 254 = -81*c - 234*c. What is the third smallest value in h, 0.4, -2\/11, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57798 and 8856432.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let q(v) = -v**2 + v + 2. Let r be q(3). Let x = w - r. What is the greatest common divisor of 16 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45827 + -45823. Let s be (1 - -1)\/(6\/9). Solve -s*n + 2 = l*c - 9, 4*c - 7 = n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2420*c - 1130*c + 26100 = 1551*c for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-66))\/(1*(-12)\/44)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -929, -4, 3 in decreasing order.\nAnswer: 3, -4, -929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m**4 + 4*m**3 - 4*m**3)*(27 - 11 + 6) - m**4 - 2*m**4 + 4*m**4 as q*m**2 + b*m**4 + r*m**3 + z*m + a and give b.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-58)\/6. Suppose 0 = 4*k - r*k + 5. Let l = 1 - k. Solve 4*z + l*h - 5*h - 19 = 0, -2*h = -2*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (21 + -10 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-11)*-2 - ((-1919)\/209 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7163828 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 23, 39, 57, 77, 99?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 4*h + 3*h)*(0 + 1 - 3)*(237 - 1194 - 359) to the form z*h + b and give z.\nAnswer: -5264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 199431677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 853\/1820 + -1\/140. Let x = 29\/91 - n. Which is the nearest to 2? (a) -1 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let q(n) = n. Let d(g) = -5*m(g) - 4*q(g). Let z(y) = 5*y - 2*y**2 + 2*y - 7*y. Calculate d(z(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 57 - 13 - 19 - 950*s - 516*s in the form b + i*s and give i.\nAnswer: -1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**5 - 65*d**4 + 195*d**3 - 115*d**2 - 200*d + 180 = 0.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40924921?\nAnswer: 47, 870743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 0)\/(-3) + 1. Let i(j) = 2*j - 8 - n*j + 5*j**2 + 5 - j**3. Determine i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:30 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 16*r**2 - 18*r - 29. Let m be v(17). Let i be 8\/6 - (-388)\/(-24)*m. Let k = i + -438. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + sqrt(272) + 1 - (sqrt(272) + 2 + -2)) + 3 + 0 + 3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25777 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let n be (-22)\/(-5) + (-4)\/10. Let y = -59464.07 + 59464. Which is the nearest to h? (a) 3 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 252?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, s: 13}. What is prob of picking 4 f?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-304))\/((-12390)\/(-399) + -31).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12921 take away 0.5?\nAnswer: 12920.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - b**2 + 6*b - 12. Let h be n(6). Let j = -253 - h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 1. Let b(l) = -173*l**2 + 9*l - 5. What is -b(n) + 3*v(n)?\nAnswer: 173*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2915956 divided by 4\nAnswer: -728989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11149.54 and 27164.\nAnswer: 16014.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -236 + -12a97?\nAnswer: -13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 4391 - s**2 + 4391.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**3\/3 + 7*q**2\/2 + 4*q + 3. Let k be h(6). Let d be (16\/(-20))\/((-1)\/k). What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 991*o**5 - 464*o**5 - 11 + 9*o**3 - 530*o**5 + (o**2 - 4*o**2 + o**2)*(0*o**3 + 2*o**3 - 3*o**3) + 6*o**5 - 3*o**5 - 4*o**5.\nAnswer: -2*o**5 + 9*o**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, -3, -158 in decreasing order.\nAnswer: 4, 2, 1, -3, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.60865 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*-1*sqrt(117) + sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117)*2))*-2)\/(sqrt(18)\/sqrt(2)*-4 + sqrt(441)*-1) + 2).\nAnswer: -5*sqrt(13)\/11 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 61\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 4)*(o + 2*o - o) + (-26*o + 0*o - 58*o)*(-2 + 2 - 1))*(29*o**4 + 11 - 64*o**4 + 36*o**4).\nAnswer: 80*o**5 + 880*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349 + 551 - 202 + 12628*d**3)*(1 + 1 + 1) to z*d + i + b*d**2 + n*d**3 and give n.\nAnswer: 37884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 226 - 284 - 58*b**2 + 493 + (-b - 3 + 3)*(0*b + 2*b - 4*b) + 0 + 0 + b**2.\nAnswer: -55*b**2 + 2*b - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -15. Let q(o) = 0*o**2 + 8*o**s - 10*o**2. Let a(p) = 5*p. Let l(r) = 3*r. Let n(v) = 4*a(v) - 7*l(v). What is n(q(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 144?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/4 + 2\/(-4)*1. Solve 4*n = 5*n - j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - sqrt(147)*-1)\/sqrt(7))\/(-3*sqrt(7)*2 - sqrt(7)) + 3 + 2.\nAnswer: -2*sqrt(3)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 111, -0.04, 2\/9, -2890?\nAnswer: -2890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672 + -662 - (46 - (-2 - 0)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180634.\nAnswer: 2, 37, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ececeeeeceeceeeeeece. Give prob of picking 2 c.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111200 (base 5) in base 11?\nAnswer: 2a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -3 - -5) + 3 + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.31 - -4.21. What is the closest to 10 in -2, p, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56168573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + m - 11 = 0, b + 4*m + 17 = 1. Suppose 2*o = 4, -53 - 13 = -5*g - 3*o. Calculate the greatest common factor of g and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437746 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-6)*32\/(-28). Let i be 27\/12*8\/3. Let u(y) = 4*y - 8. Let j be u(i). Calculate the highest common factor of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/2 + 3*l**3 + 7*l**2\/2 + 1. Let h be o(5). What is the highest common factor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0021, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841580 is divided by 13556?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 - 67*f + 840. Determine b(6).\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/11 and 61\/9105.\nAnswer: 100155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1784*v - 1173. Is 9 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/15 and 25\/1053.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 745987491 from -15.6.\nAnswer: -745987506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7248, 14770, 22282, 29784, 37276?\n\"Answer: -5*l**2 + 7537*l - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6715 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258508 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-2)\/6 - 0). Suppose 5*f + 12 = -l. Let g = f - -13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -311, -612, -925, -1256, -1611?\n\"Answer: -s**3 - 294*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455673709 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.254 * -737.\nAnswer: 187.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t - 5. Give y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*h + 77797 - 180367 = 0 for h.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 23*l**2 + 9*l - 36. What is r(11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87816 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -33, -58, -93, -138, -193, -258?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 7)*6\/4. Let i(b) = 2*b + 6. Let x be i(-2). Suppose -x*c = m*c. Solve c = 4*h - 2*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/46 and -89\/1932926?\nAnswer: 44457298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 152651, 152654, 152657, 152660, 152663, 152666?\n\"Answer: 3*d + 152648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*u - 8800 = -713*u for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2*x**5\/5 + 7*x**4\/2 + 46*x**3\/3 - 255*x**2 + 900*x - 121. Determine m so that b(m) = 0.\nAnswer: -6, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22543*-25.03.\nAnswer: 564251.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 613410.\nAnswer: 613410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 10. Suppose 3*w + 2*z + 304 = 7*w, 210 = 3*w + y*z. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 50\/(-30)*-6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let i(y) = -5*y - 2. Let k(x) = -2*b(x) + i(x). Let w(q) = -4*q**2. Calculate k(w(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 3255.\nAnswer: -6510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13985 divided by 2797.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*f**3 - 74*f**3 + 33*f**2 + 266*f**3 - 32*f**2 + 6.\nAnswer: 422*f**3 + f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4183 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-21)*(-315)\/70*198\/(-165)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 59*h**2. Let r(q) = -41789*q. What is r(k(m))?\nAnswer: -2465551*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 17 = 0. Let d(h) = -7*h - 4 + 11*h**2 - z*h**2 + 7*h**2. Suppose 3*y = 4*p + 30, 2*y + 4*p + 3 = -p. Determine d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144001 is divided by 4504?\nAnswer: 4377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 12*u**2 + 12*u + 21. Let m be c(13). Let o = m + -6. Suppose -3*b + o = -7. Solve -n - b - 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*j + 12, -2*o - 2*o = 3*j + 4. Let v be (-7)\/(-4) + (-1)\/o. Factor -2*g**3 - 2*g**2 + 3*g**2 + 6*g**3 - 3*g**4 - 2*g**v.\nAnswer: -g**2*(g - 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/1088481 and -13\/2895.\nAnswer: 1050384165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2240, 4567, 6920, 9311, 11752, 14255, 16832?\nAnswer: 19495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.065585 and -99697.\nAnswer: -99695.934415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 240 = 75. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 126 = -7*u. Suppose -3*p - r + 0*r = -u, -2*p = -3*r - 17. Let l = 126 + -94. Solve l = p*d + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 789.081t?\nAnswer: 789081000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 324855.\nAnswer: 1299420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*sqrt(21)\/(sqrt(350)\/sqrt(2) + sqrt(7)) + (sqrt(480)*-1)\/((-2*sqrt(120))\/sqrt(12))))**2.\nAnswer: 867\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -3*j. Suppose 0 = -j*m + 5*m - 5. Which is the smallest value? (a) m (b) 0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 56 = 2*q, -2*q + f - 2*f - 56 = 0. Let k = 73 + q. Solve -5*v + 26 = 2*s, -5*v = 5*s - k + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -d + 53, 18*d + 5*k + 39 = -114 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 1\/24*o**6 + 1\/8*o**4 - 1\/6*o**3 + 0*o - 5*o**2 - 1\/30*o**5 + 0. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-744)\/155 + (6 - 2). Which is the nearest to 0? (a) -1.2 (b) -1 (c) l (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 880.956 to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4)**(-22)\/(k**(-1\/3)*k*k*k**5*k))**(8\/7) assuming k is positive.\nAnswer: k**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.2 (c) 9 (d) -2 (e) 0.0595 (f) -142 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.1 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5949 = 5*i - 14594, 4*i = 0. List the prime factors of w.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4596 + -2837. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 14. Let m be b(6). Let p = 10 + m. What is the lowest common multiple of p and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -3, 3, 402, -1 in descending order.\nAnswer: 402, 3, -1, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -611 - -616. Solve 5*n - 4*c + 4 = 0, z*n + 4*c - 3 = 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 8:54 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -783*m**4\/4 + 328*m - 964. Differentiate g(b) with respect to b.\nAnswer: -2349*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 - 1086*r**3 - 19*r**2 + 1083*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18170 by -1817.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.46 take away -0.1?\nAnswer: -30.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 9*r**2 + 8*r + 2. Let i be z(-8). Let f(p) = p**3 - 7 - 16*p**2 - 17*p**2 + 31*p**i. Let x(u) = -u**3 + u**2 + 3. What is 2*f(l) + 5*x(l)?\nAnswer: -3*l**3 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, i: 1, q: 6}. What is prob of sequence iq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 5*p**2 + 7*p + 3. Let t(a) = 4*a - 9. Let h be t(4). Suppose 0 = b + 3*s - 6, -4*b + h*b + 4*s + 2 = 0. Calculate q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1566, 4, 14 in decreasing order.\nAnswer: 14, 4, -1566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 8}. What is prob of picking 1 s and 1 c?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2. Let c(t) = 798*t - 9. Calculate c(l(i)).\nAnswer: -798*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 4*m - 34, -3*r = -5*r + 4*m + 16 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -10 - -5) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -401, -880, -1519, -2300, -3205, -4216?\nAnswer: -5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:54 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 + u + 429. Give g(0).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 - 94*p + 26. Calculate w(-8).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(18\/(-30))\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97784 bigger than 98707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26412 is divided by 733.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(27\/15 + -2). Let u = -520 + 519. What are the prime factors of u - (-1 + 2) - p*-17?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -21, -122, -291, -528, -833, -1206?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10432 + -4781. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-4)*(-2)\/(-6))\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/15 + (-69841)\/(-29540)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 142*v**4 + 89*v**4 + 4*v**2)*(-2*v + 2*v + 3*v).\nAnswer: -159*v**5 + 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 981071407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -75.34. Let w = -4.84 - c. Let m = w + 5.4999752. What is m rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*595\/(-102)*(80\/(-25))\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -39464?\nAnswer: 39462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 331, 520, 709, 898, 1087, 1276?\n\"Answer: 189*j + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:44 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404 (base 13) to base 8.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64894.05 hours in microseconds?\nAnswer: 233618580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -31550, 21, 1.3.\nAnswer: -31550, 2\/9, 1.3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2 + 1)*(-4*m**2 + 4*m**2 - m**3) + 3*m**3 - 2 + 2.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276 + 278. Let z(y) be the third derivative of 1\/108*y**6 + 2\/27*y**3 + 7\/108*y**4 + 1\/945*y**7 - 4*y**x + 0 + 1\/30*y**5 + 0*y. What is c in z(c) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-7576393\nAnswer: 159104253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1712*z**4 - 450*z wrt z?\nAnswer: -20544*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 174 in -0.3, -5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-3)\/(-3)*-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.501624 - -62.5. What is i rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(65) + (sqrt(65)*-2 - sqrt(65))))\/(3*sqrt(45)))**2 - (3 + (sqrt(143)*-3)\/sqrt(11) + sqrt(13) + 3)**2.\nAnswer: -740\/9 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.062562193\nAnswer: 0.937437807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 + 10*x**3 - 6*x**2 - 9*x**3.\nAnswer: -15*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*l - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/4200 - l**6\/1200 - l**4\/2 + 4*l. Let x(j) be the third derivative of z(j). Factor x(o).\nAnswer: -3*o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001668 rounded to 7 dps?\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376 - -382. Let k(m) = m**3 - 7*m**2 + 5*m + 7. Determine k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256386 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -230 + -4?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 3*h + 30 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - (9 - 18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/12)\/(2\/600). Let i be n\/(176006\/(-44000) - -4). Round i to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*f**3 + 24*f**2 - 512*f + 25 wrt f?\nAnswer: -528*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7590*l + l**3 - 7590*l + 11.\nAnswer: l**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*p**3*v**2 + 42*p**3 + 3*p - v**3 wrt v.\nAnswer: -256*p**3*v - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-32))\/((78\/72)\/(-13)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 6 = -5*f. Let k(q) be the first derivative of q**4\/4 + 7*q**3\/3 + 3*q**2 + 8*q + 8. Calculate k(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501 by -82711.\nAnswer: -501\/82711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3389.7 + 3386.7. Let u = 31 - 28.9. Let a = -0.1 + u. What is the third smallest value in a, 0.5, -0.27, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6236296 is divided by 2179.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 67 + 67 - 3*q**3 in the form k*q**2 + m*q**3 + w*q + r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 18 + 0)*(4 + 5 - 5)*(-15 - b**2 - 21*b**3 - 18 + 35).\nAnswer: -2100*b**3 - 100*b**2 + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 79 = -5*o, 0 = -4*o - 0*o - y + 64. Suppose o*r - 16 = 11*r. Suppose 1158 = r*b + 5*x, x = 5*b - x - 1431. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035186368 to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {v: 4, r: 7, i: 2, q: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -44092, -88247, -132402?\nAnswer: -176557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 13. Suppose 0 = -d + 4*d + 30. Let b be n(d). Solve 3*c = -b*j - 3, -c = -3*c + 2*j - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllzjjwwlzwjjwwjjw. Give prob of sequence wwz.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -11) + -1 + (-1686 - -1725)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21077135, -42154268, -63231401, -84308534, -105385667?\nAnswer: -126462800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l - 8*l + 31*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 14531.\nAnswer: 29062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -6.8. Let x = -5 - l. Is -8 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-19) - (-6)\/57. Solve -8*j - 20 - 20 = v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20625*r**5 - 40436*r**2 wrt r?\nAnswer: -1237500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.11714 millilitres to litres.\nAnswer: 0.09211714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*o + 13 = 0, -3*o = 4*l - 7*o - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 493*o**6\/60 + o**4\/6 + 2*o**3\/3 - 2*o**2 + 7*o. Let b be c(2). What is b rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 5*m - m - 5*m**2.\nAnswer: -5*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - 0. Let c be 7 + (19\/(-57))\/((-1)\/y). What is the highest common factor of 44 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-28))\/(1\/(-12)*-3). Put -1, -0.02, -2\/5, s, 0.1 in ascending order.\nAnswer: -1, -2\/5, s, -0.02, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-5)\/(387\/(-129))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (424 - 5)*((-7 - -1662) + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h = -44*h + 50. What is the remainder when 38 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 45 + 90*w - 97 - 8*w + 75*w.\nAnswer: 157*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 79, 11, 5\/6, 0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 0.5 (c) -0.8 (d) -0.69 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.68131 + 56697739?\nAnswer: 56697737.31869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -1 - (3 - (10 - 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/17*g - 12\/17*g**3 + 2\/17*g**4 + 8\/17 + 26\/17*g**2.\nAnswer: 2*(g - 2)**2*(g - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -6*w + 459. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**6\/360 + t**5\/60 - t**4\/4 - t. Let j(q) be the third derivative of d(q). Differentiate j(m) with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850968.6 days in minutes?\nAnswer: 1225394784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (2 + -9 + 0). Solve -5*i - m - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h - 32*h = -51*h. Which is the nearest to h? (a) 5\/4 (b) 8 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153026*i*u**3 + 211*i*u**2 - 2*u**3 - 51*u wrt u?\nAnswer: 918156*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 1 + 3*n + 0*n**2 - n. Let r be v(-2). Is ((-3)\/(-2))\/r*14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6 + 23*k**5 + 146*k**2?\nAnswer: -120*k**3 + 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 10*i + 62. Let z = i + -65. Is 43 a factor of -3 + 2 + z + 0 + 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**5 + 62*o**3 + 426*o wrt o.\nAnswer: -20*o**3 + 372*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.022 + 0.478. Let t = -5\/338 - 11477\/1014. Let x = -244\/21 - t. What is the nearest to -1\/3 in x, g, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6)*6\/(-4))\/(-27*405\/13122)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.19 (b) -1.595 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:41 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7737 + -0.77. Round q to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 150.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*8986\nAnswer: -26958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 27. Let w be v(-8). Suppose -3*k + 60 = -4*c, k - w*c = -2*c + 20. Calculate the lowest common multiple of 16 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:42 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24951\/7 - 3558. Suppose -23 = 2*h + 35. Let z = h - -64. Calculate the common denominator of z and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 120\/88829?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3224 - -34430?\nAnswer: 31201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 12771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360215 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-35) + -5)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16454609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*f**2*k*r**2 + f**2*k - 6*f**2*r**3*v - f**2*r**2 - 8*f*k*r**3 - 7*f*k - 3927*k*r**3*v with respect to v.\nAnswer: -6*f**2*r**3 - 3927*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -24. Let h = d + 15. Is h greater than or equal to -5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 9561446.\nAnswer: 7\/9561446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from {a: 3, m: 1, r: 7, x: 1, p: 1}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p - 75. Let k be h(5). Suppose -k*z - 183 = -c, -5*z = c + c - 336. What are the prime factors of c?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.22 + -1.21999918. Round l to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37051 not equal to 2074867\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -2\/3 (d) 1\/5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 - 10351*i + 20724*i - 10373*i.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472095?\nAnswer: 3, 5, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*t - 23 = -0, -3*o = 4*t - 24. Suppose 3*p = o*w - p - 588, -4*w + 568 = p. What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636425471?\nAnswer: 2636425471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -1. Is 163\/(0 + -3 - d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, f: 2, p: 5}. Give prob of picking 1 p and 3 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2179492, -4358984, -6538476, -8717968?\n\"Answer: -2179492*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, 26, 175, 468, 953, 1678?\nAnswer: 2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18206883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 129 = -135 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316503 and 1656?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*p + 237*p + 235*p = -238*p + 7*t, 0 = -7*p + 3*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83999925 = 13*z + 2*z. Suppose 3*k = -i + 1400003, 0 = i - 5*i + 5*k + z. Round i to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -91, -142, -191?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5 (base 13) in base 14?\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/28 in -3, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.6. Suppose -12 = -6*l + 6. Suppose 2*h = l*x + h + 10, -4*h = -3*x - 22. What is the nearest to 0.2 in -0.09, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/7)*w\/(w*w\/(w\/((((w*(w\/(w\/w**(2\/5)))\/w*w)\/w*w)\/w)\/w))))**20 assuming w is positive.\nAnswer: w**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9451.\nAnswer: 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = -s + 959. List the prime factors of s.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597504807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 208386 (base 10) to base 13\nAnswer: 73b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1699 and -0.517?\nAnswer: 1698.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 192 - 572. Solve -2*t - b + 30 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8750000*((-6)\/(-15) + 0). Round i to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-764)\/12 + (-2)\/6. Let c = 124 + f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 373, 1190, 2749, 5296, 9077, 14338?\nAnswer: 21325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-11))\/((-59600)\/(-26224)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 484932689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 197 + 34 + -244?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 9. Determine a(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 19. Let v be y(-43). Let g(f) = -f - 1. Let l(p) be the second derivative of 7*p**3\/6 + 4*p**2 - 2*p. Determine v*g(u) - 3*l(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 67.5. Let w = t + 23. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z*z**(-2\/29)*z)))\/(z\/z**(8\/7)*z))\/(z\/((z*z**(9\/2))\/z)*z**(-2\/21)) assuming z is positive.\nAnswer: z**(4469\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169233 by 4.\nAnswer: -169233\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s + 0 + s + 6. Suppose 3*a + 3*w + 123 = 0, a - 2*w - 9 = -62. Let y be 9*(-3)\/(a\/(-10)). What is v(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -11046761?\nAnswer: -11046766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i. Let x be r(-1). Is x\/1*35\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/52*-2*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - -1574?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1352*l**2 + 3*l + 2. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 12:51 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -686.6 + 692.6. Are -0.035 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.345\nAnswer: -1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + -1. Let f be 10\/(11\/w - -1). Suppose 15 = 4*o - f. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + 4 - 10 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*w - 52*w + 39*w)*(-5 + 5 - 19) in the form n + k*w and give k.\nAnswer: 1387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 509.7 - 510. Which is the closest to 0.2? (a) -0.07 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 343 = 35 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h, 2*f = 4*f - 2*h - 70. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/24 + 2*c**3\/3 + 5*c**2. Let h be k(3). Let w be (1\/5)\/(5\/2). Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660312.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*4\/(-12)*45\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.296 (b) 0.0076 (c) -5\/67 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 2492?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3290*i + 447446. Determine a(136).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 1. Let m be i(-3). Suppose 610 + 760 = m*g. Let v = g + -196. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13706 and 4895?\nAnswer: 68530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/18 - -77\/18. What is the nearest to -8 in r, 0.5, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505497 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 - 2*r - 7. Let d be c(0). Let i be 2\/d - (37\/(-7) - 1). Suppose -2*z = -i*z + 336. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -397 + -bc3?\nAnswer: -117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frf when three letters picked without replacement from rrrfrfr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(-2 + -28). Let u be (-1)\/2 + g\/(-2). Suppose -7 - u = -2*h. Solve -2*l + 1 = h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*180\/(-24). Solve -5*c = p - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:28 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + b. Suppose -z = b*z. Let y(t) = -16 - 11 - 4*t + 3*t + 44 - 19 + t**2. Determine y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Suppose 2*k + c*s = 5, -2*k + 3*s + s = 4. Solve 3*n - 3*t + 6 = k, -4 = 2*n + t + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54854?\nAnswer: 2, 27427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/5)*x*x**(-8\/11))\/(x\/(x*x*x*x*(x\/(x\/(x*(x*x**(8\/3))\/x*x)))\/x*x))**44)**26 assuming x is positive.\nAnswer: x**(1453478\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37\/5 (b) 0 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2273\/(-405) - -5)) + -10*133\/(-950)\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by -19?\nAnswer: 480\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-6)\/(-2))\/3. Let h(f) = 4*f + 11. Let k(a) = -a**2 + 12*a + 14. Let i be k(13). Let g(n) = n + 1. Let r(w) = i*h(w) - 3*g(w). What is r(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, n: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 100.98. Which is the nearest to 0? (a) -5 (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - 42*z**2 - 1549*z - 12324. Determine l(-8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/104 and 117\/10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000 + -11?\nAnswer: 1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*-2*(192\/152)\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:07 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 6*r**3 - 2*r**4 - 37*r**5 + 39*r**5 - 8*r**3 + 2*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 + -198. Let x = -9557\/59 + t. Is x != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879 - 951 = -8*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/16 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -70. Which is the third biggest value? (a) 2 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (41 + -205 - -48)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -225, -2, 2, 4, -4061 in decreasing order.\nAnswer: 4, 3, 2, -2, -225, -4061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j + 4. Let x(c) = -17*c**2 - 3. Give n(x(g)).\nAnswer: 272*g**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.3, 0, 1 in increasing order.\nAnswer: -0.3, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Let w be 1\/g*(4 - -2). Find the second derivative of -2*k**2 - 2*k + 2*k**2 + 6*k**w + 0*k**2 wrt k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(104)\/sqrt(8) + sqrt(13) + -3 + 2 + sqrt(13))*-2)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190888362 a multiple of 2979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -6, 2 in descending order.\nAnswer: 3, 2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7042\/503 + (3 - 0) + 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123502770.3 to the nearest ten thousand.\nAnswer: 123500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28.82 * 0.1\nAnswer: 2.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94335\/16 - -5899. What is the common denominator of (142\/(-44))\/(1 + -2) and k?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 1\/2 (c) 0.4 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -21*s**2 - 145*s - 22. What is t(-6)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1053873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 15. Let x be d(0). Let y = 210092 + -210090. Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**6 - 114*x**4 + 31*x**2 + 13 wrt x?\nAnswer: -360*x**3 - 2736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 355756249 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4148*v + 664 + 3348*v + 320 wrt v?\nAnswer: -800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/920 and 137\/70?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -10*7\/((-140)\/(-8)). Let l be c - 22\/6 - 56\/(-21). Put 3, 4, l, 8 in decreasing order.\nAnswer: 8, 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 2104?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1*sqrt(28))\/sqrt(4) + -1*(sqrt(7) + 1) + ((sqrt(700) + 1 - sqrt(700))*-2)**2.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 119. Suppose -2*h - 3*f + 48 = 0, -2*f = -3*h + x + 11. Let j = -165 - h. Round j to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/539)\/(5\/1925).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4491, 18026, 40587, 72174, 112787?\nAnswer: 162426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 58.\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = 5*l, 5*g - 3*g - 3*l - 3 = 0. Suppose -2*c - g*c = -25. Let i = -15 - -17. Solve i*h + h + c*u = 6, -4*h + u = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from {r: 1, i: 11, y: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1719560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Solve -5*x + 3*c - 6 = r*c, 0 = -2*x + 3*c - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 159*c**2. Let m(j) be the second derivative of -j**4\/6 - 24*j. Give m(u(f)).\nAnswer: -50562*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-770) - (-2)\/(-5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -58 (b) -2\/19 (c) 0.3 (d) -2\/7 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 416 = -4*p - 80, -3*p = 0. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 38*m**2 + 99*m + 1581. What is t(41)?\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08104 - -0.21896. Let k = -1 + 0.9. Which is the third biggest value? (a) 3\/4 (b) -1\/3 (c) m (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 4271 = 2671. Does 21 divide 4\/8 + u\/(-6) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56\/11 (b) 12 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2. Let z(s) be the second derivative of 3*s**4\/4 - 7*s. Determine z(g(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 4*q + 2 - 7*q - 3*q in the form a*q + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 12*l + 20. Let g be (-2 - 2)\/(l - 2). Let k(m) = m**2. What is k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. Let f = 10 - v. Let u = -1 + 9. What is the third smallest value in u, -1\/2, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.049 (b) -2\/3 (c) -1\/2 (d) 22\/321\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10\/11, 0.3, -4\/9, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**3 + 5649*t**2 + 2572*t - 900. Determine p(514).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -52, -119, -214, -337, -488, -667?\n\"Answer: -14*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, n: 3}. Give prob of sequence hnnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 56*o + 125. What is the remainder when 25530 is divided by g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h*h*h**(2\/5)*h**4*h*h*h**(-5)*(h**0)**21\/(((h\/h**6)\/h)\/h*h**(-5\/3)) assuming h is positive.\nAnswer: h**(256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 2, -1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -23. Let y be m*(0 - (-6)\/21). Let f(l) = -14*l. What is the tens digit of f(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(468)\/(sqrt(27)\/sqrt(3) + sqrt(9) + sqrt(9)))**2 + -2).\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219.9914 - -0.0086. Let f = -205.1 + s. What is f rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.13679 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990.7734 days in weeks?\nAnswer: 284.3962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22876706.\nAnswer: 2, 11438353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3063, 3047, 3031, 3015, 2999, 2983?\nAnswer: 2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47029 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n - 1. Let j be 2 + 2 + 0 + -2. Suppose j*x + x = 6. What is w(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 7*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 4*d + 6. What is the tens digit of i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s*s*(s\/((s*s**(-1\/3))\/s))\/s)\/(s\/(s\/s**(-1\/2)*s)*s\/s**4*s))\/((s**4*s*s*s**(-3\/4)*s)\/(s\/(s\/(s**(-5\/2)\/s))*s**(1\/9))) assuming s is positive.\nAnswer: s**(-209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5 + 3) - (-15 - -17)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1213?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = n - 4*r - 7, 0 = 4*n - 2*r + 36. Let o be (-4)\/(-14) - 26\/n. Suppose 54 = o*x + 14. Calculate the remainder when 19 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33+5862720024\nAnswer: 5862719991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16353076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, 5, 0.11 in increasing order.\nAnswer: -1, 0.11, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 435*s**2 - 6*s - 79. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 10 (c) 3\/8 (d) 1.5 (e) 3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-118*n**2 + 118*n**2 + 19*n**4) + 2*n**3 + 0*n**4 - n**2 + 3*n**2 + n**4.\nAnswer: -18*n**4 + 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -98, -101?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166873 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 413*p**2 - 7*p - 9. Let u be i(26). Suppose -3*k - q = -8*k + u, -2*k - q + 111603 = 0. Round k to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.6633 - 1.6. Let v = b - -13.9457. Let o = v + -14. What is o rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 432178 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g - 66. Give n(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 82?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -21*r + 4*r**2 + 0 - 1\/6*r**3. Calculate w(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117208 (base 11) to base 6.\nAnswer: -3545403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001011 - -100?\nAnswer: 1100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(112)\/sqrt(4)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 8, r: 4}. What is prob of picking 2 i and 1 r?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - p**3 + 0*p**3 + (0 + 1 - 3)*(p - p - p**3) + 21*p**3 - p**3 - 3*p**3 + 13*p**3 to c*p**2 + z + m*p + l*p**3 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 1\/3*t**3 - 2*t - 22 + 1\/2*t**2. Determine w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236428969 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 454722657 and 474?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 48 - 55 = -2*m, 64075*m - 1 = i + 64079*m for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179118 or 179119?\nAnswer: 179118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1149111, -1149079, -1149019, -1148925, -1148791, -1148611, -1148379?\n\"Answer: q**3 + 8*q**2 + q - 1149121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 37*c**2 + 6*c - 1. Let t be i(-5). Let p be 2\/((-1)\/((-9)\/t)). Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 20*q + 20.\nAnswer: 5*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 - -184. Let 3*t**2 + 6\/5*t + 12\/5*t**3 + 3\/5*t**4 + m = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (114\/(-8))\/((-3)\/(-144)). Let n be 38582\/(-56) - 10\/35. Let d = n - o. Calculate the common denominator of 13\/2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1909 and 24153.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26830 is divided by 139.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138163531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 19) + (-4 - -12 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 8*j**2 - 8*j + 10. Let s be m(14). Suppose 17*y - 16*y - s = -2*o, -3229 = -3*y + o. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 36 + 6 = 0. Let y be -15 - n*1\/2. Is 12 a factor of (-8)\/10*(y + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110613382.\nAnswer: 2, 11, 67, 101, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.0365, 2\/7, -4.2, 2 in descending order.\nAnswer: 2, 2\/7, -0.0365, -1\/6, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - -6)*4\/(-44)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 819.6 - 820.1. Put 4\/7, -5, -69, a, 1\/2 in decreasing order.\nAnswer: 4\/7, 1\/2, a, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 5*u - 6. Calculate i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53550 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 923224 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let t(k) = -6*k - 168. Calculate t(i(z)).\nAnswer: -12*z**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (8 + -15 - 7 - 0) + 86.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(1100) + -5 - (3*sqrt(1584) + sqrt(44)\/(sqrt(4) + sqrt(32)\/sqrt(8)))**2).\nAnswer: -58623\/4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2632\/15 + -10523\/60. Let g(r) be the second derivative of 0 - 1\/2*r**3 + s*r**4 - 3\/2*r**2 + 15*r. Give g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5236 and 4004?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16ae21 + -5?\nAnswer: -16ae26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + 7*g. Let v(y) = 29*y - 2. Give v(n(u)).\nAnswer: -87*u**2 + 203*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495041*b - 495053*b - 495042*b + 1 + 1485124*b.\nAnswer: -12*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3766?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 232 = 2*l, 254 = 3*l - 4*s - 105. Let x = l - 141. List the prime factors of x\/16 + (-2 - (-419)\/2).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2633 divide 2262734375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let u(h) = -5005*h + 156. Let k(b) = -556*b + 18. Let f(a) = -26*k(a) + 3*u(a). What is z(f(m))?\nAnswer: -1118*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m = q + 36*m - 1155, -4*q + 5*m = -4545. What are the prime factors of q?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 5)*(-y + 0*y + 0*y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = 3*q. Let x be ((-4)\/10)\/((-2)\/10). Let n(i) = -i**2 + x*i**2 - 3*i**2. Calculate n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 251.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 - 6*f**3 - 41*f**2\/2 + 36*f + 21. Calculate the remainder when 44 is divided by z(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*l + 42*l + 2*l = -633 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4297\/(5*(-3)\/(-15)).\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {e: 5, u: 2, j: 3, m: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 18 = 4*t - 5*z, -2*z - 40 = 4*t. Let x(n) = n + 7. Determine x(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1426 in -0.2, -5\/3, 6, -3\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-9)*y**(-3\/2)*y**(-1\/16)\/(y*(((y\/y**5*y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(215\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3168)*2*-5)\/(sqrt(18)*5 - (sqrt(2) + sqrt(8)*-1)).\nAnswer: -15*sqrt(11)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6636603 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -861\/5 + 172. Which is the nearest to 0.1? (a) f (b) -4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(7\/5)*o\/(o\/((o**17\/o)\/o)*o)*(o**2\/o)**(4\/13) assuming o is positive.\nAnswer: o**(1021\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*5\/(-10)*2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2, -2*t + d = 1 + 1. Let p = 0 - t. Suppose -2 = -p*r - r. Solve r = -z + 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6294 + 151021\/24. Let u = -233761\/47412 - -2136\/439. Find the common denominator of m and u.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -26. Solve -u + 8 = q*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134087 is divided by 133818?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 64313.02 and 217835.\nAnswer: 282148.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (-35)\/(-7))*6. Let h(c) = -c**3 + 4. Let i(f) = -f**3 + 3. Let q be ((-8)\/5)\/(90\/225). Calculate d*i(o) + q*h(o).\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-2) - (-15)\/10. Let g(v) = 8*v**2 + 3*v**2 - i*v**2 - v**2. Let m(w) = w. Determine g(m(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 19*w + 1459. Let g be p(39). What is the highest common factor of g and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2. Let d(y) = -12*y**2. Let h(l) = -8*c(l) - d(l). Let r(j) = 2*j**2. Give r(h(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (8 - 5)*30\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283800 is divided by 224.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 44978.5 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9\/1445, -4, -13?\nAnswer: 9\/1445","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*v**4 + 2*j*v**3 + 6352988*j*v**2 + 180*v**4 + 3644*v**3 wrt v.\nAnswer: 24*j*v + 12*j + 4320*v + 21864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 3*x**2 + 2*x + 2. Let u be t(2). Let g(h) be the first derivative of 1\/4*h**4 + 0*h**5 + 0*h**3 - 1\/6*h**6 + 1 + 0*h + 0*h**u. Factor g(p).\nAnswer: -p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 5*o + 35. Let l(c) = c - 13. Let u be l(14). Sort o, u, -4 in descending order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 - 627*l**2 - 131043*l - 9129329 = 0. What is l?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 3*w**3 - 2*w**3)*(3 - 3*w - 3)*(1 + 3 - 3).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/(17220\/(-8615) + 2). Let a = 574 + y. What is the closest to a in 0.2, 1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15248 is divided by 2510?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 160 = -n - 117, 0 = -2*j + 3*n + 116. What is the third derivative of j*l**2 - 118*l**2 + 18*l**6 + 59*l**2 wrt l?\nAnswer: 2160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 851, 1283, 1729, 2195, 2687, 3211?\nAnswer: 3773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 18, -3, 6.56?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 1139*g**8\/48 - 4*g**5\/15 + g**4\/4 - g**3\/3 + 5*g**2 + 5*g + 38. What is the third derivative of d(o) wrt o?\nAnswer: 478380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020220 (base 4) in base 3?\nAnswer: -20101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918530?\nAnswer: 2, 3, 5, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 + 3*n - 4. Let z be 4\/6 + 28\/(-6). Let u be c(z). Solve u = 5*m - 4*m + r - 9, -r = -2*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(0*l - l - l) + (5 - 5 - 2)*(-4*l + 2*l + 0*l) + l - 3*l + 0*l + l + 0*l + 0*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257626770?\nAnswer: 2, 5, 7, 31, 1040381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.13, 3, -4\/21, -3, -1\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675 divided by 550?\nAnswer: -67\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 176 (b) -0.5 (c) -9 (d) 57.4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15784 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19059 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rehrtyyrtxxxxtrhyrr. What is prob of sequence xh?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 2*d - 31. Calculate g(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, e: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*1\/((-738)\/(-63))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-66)*(-32)\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1305009 and 21.\nAnswer: 9135063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/111 - -103\/444. Let f(k) be the third derivative of 0*k + 0 + k**2 - i*k**4 + 1\/3*k**3 - 1\/60*k**6 + 1\/10*k**5. Factor f(j).\nAnswer: -2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 16*f**2 + 18*f + 20. Let x be h(-17). Suppose x*v + 0*a - 28 = 4*a, -4*a = 4*v. Solve v = -5*q + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5*g + 7 = 0. Let z be 30 + -2 + g + -3. Let t be 17*48\/104 + (-4)\/(-26). What is the greatest common divisor of t and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 3*w**2 + 4. Suppose -3*f + 10 = 1. Let y be c(f). Suppose -4 = -y*h + 64. What is the greatest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5 + 4*j - 5 + 1 + 5. Let i be -3 - -1*(-6 + 4). What is b(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**5 + 6*m**4 + 9*m**3 - 6*m + 6. Let g(d) = 8*d**3 + 28*d**4 + 4 + 1 - 23*d**4 - 8*d**5 - 5*d. Let y(k) = -6*g(k) + 5*v(k). Factor y(c).\nAnswer: 3*c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34456, 34461, 34470, 34483, 34500, 34521, 34546?\nAnswer: 34575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 41. Let n(y) = y**2 + 3*y. What is n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e + 11985?\nAnswer: 11a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2409\/57974 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/45, 4\/5, 0.3, 1\/4 in ascending order.\nAnswer: 2\/45, 1\/4, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.762314us to milliseconds.\nAnswer: 0.009762314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 51425*y - 308533. Determine q(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 3*w, 0*j = 3*j - 3*w + 30. Let i = -17 - j. Let o = i - -23. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8767.488 nanograms?\nAnswer: 0.000008767488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*i**2*p + 1608605*f*i**2 - f*i + 4*f*p - 4*f + 2*i**2 - 479*i*p - 2*p + 15 wrt i.\nAnswer: -2*f*p + 3217210*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*i - 21*i - 18*i**2 to j*i + t + d*i**2 and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*c - 30, 5*f - 27 = f + 5*c. Is (-6*(-191)\/(-8))\/(f\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.08 + -0.08. Let m = r - 1. Let s = -1.000003 + m. What is s rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*r + 4 = s, 5*s - 30 = -4*r. Suppose -5*j + 120 = 2*o, 0 = j - s*o - 2*o - 2. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2253*z + 6852*z - 2298*z = 1873*z - 6420 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -5*h - 3*d, 2*h + h = 5*d + 292. Let y = h + -24. Calculate the remainder when y is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(1377).\nAnswer: 5 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 267*m - 35804. Determine u(-101).\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 + 17 + 7 + 14 - 47 + 1.\nAnswer: 25*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:34 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4 = -4*w, -2*q - 183*w + 189*w - 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*l + 359*l + 385 = -2960 - 9995 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9207 is divided by 1458?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 - 500*y + 2536. What is d(5)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 693062.5mg?\nAnswer: 693062500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 231*w - 16 + 389*w - 141*w + 14 as y + c*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31584)\/72*(-15)\/2. Suppose 4*r + 824 - 3445 = -s, 4*s = -5*r + n. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 42 + (-2288 - -2289)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*r + 35986 + 36509 - 71654).\nAnswer: -4*r - 1682","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -262 * -0.5\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19323 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/10)\/((-20)\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Let t = -89510 + 447546\/5. Which is the nearest to -1? (a) 0.9 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8157ac8 + 2c?\nAnswer: -8157a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/20 + w**4\/2 + 5*w**2\/2 - w. Calculate the remainder when 1 - (-1)\/((-1)\/(-13)) is divided by i(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 4*u**2 + 4*u. Let k be (-8)\/((-40)\/45) + 827. Let b = k + -830. What is the smallest common multiple of p(4) and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y - 144659 - 4897063 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 36 = 4*s, 2*i + 0*s = s + 3. Suppose 4*x = -2*r + 40 + 126, i*r - 3*x - 332 = 0. List the prime factors of r.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91069177.6 rounded to the nearest one thousand?\nAnswer: -91069000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t. Let i(o) be the third derivative of -o**4\/12 - 4*o**2. Calculate i(m(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2 (b) -6 (c) -2685\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -250\/9, -0.04433, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87794, -3, -26.\nAnswer: -87794, -26, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, 5, 1\/4, 33, 0.1 in increasing order.\nAnswer: 0.1, 1\/4, 5, 33, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 2*b + 3. Let p be z(3). Suppose -3*q = -114 - p. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 0*u**2 + 179 - 74.\nAnswer: u**2 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 166.88+-0.2\nAnswer: 166.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111.6 + -112. Let y = 0.09 + -0.89. Which is the smallest value? (a) -0.2 (b) h (c) y (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let u(z) be the first derivative of 0*z**3 - 3 - 4*z + 0*z**2 + 1\/12*z**4. Let h(r) be the first derivative of u(r). Determine i(h(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -599 by 32965.\nAnswer: -599\/32965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**13)**41)**(16\/3) assuming v is positive.\nAnswer: v**(8528\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 19. Let u be a(-11). Solve 2*p - u*p = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**3\/5 + 2*b**2 + 4*b\/5.\nAnswer: 2*b*(b + 1)*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63064*p + 753*p**3 + 291 + 63064*p - 1062 wrt p?\nAnswer: 2259*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15453424 (base 6) to base 13.\nAnswer: 1640c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**5\/10 + h**4\/3 + 3*h + 1. Let d(q) be the first derivative of f(q). What is the third derivative of d(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-10) - -2)\/(2\/85). Let q = 2 - c. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/9 - 52*j**2\/9 + 3848*j\/9 + 7888\/9 = 0. What is j?\nAnswer: -58, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13469669 to the nearest integer?\nAnswer: 3670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -141 - 109. What is the remainder when g is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254806 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111871807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-4) + (-46)\/184. Let z(d) = -4 - 9*d + 2*d - t*d - 4. Let u(s) = -s - 1. Let h be -8 + (-2)\/(-2) - -1. Determine h*u(f) + z(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-3\/7))*y*y**4*y**2*y**(2\/13))**(-39))**(-33) assuming y is positive.\nAnswer: y**(60588\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -4. Let n = 0.0305 + -311.0305. Let g = -307 - n. Which is the third smallest value? (a) 4\/5 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -20854*m - 980135. Determine d(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -87873\/16 + 5490. Suppose 11 = n + 6. What is the common denominator of 23*(202\/40 - n) and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)\/(l\/(l\/(l\/(l\/l**3))))*(l\/(l\/(l\/(l*l**0*l))))**(5\/3) assuming l is positive.\nAnswer: l**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)\/s**(-1\/3))\/(((s**(-6)*s)\/s)\/s*s**(2\/5))*((s*s**(-3))\/(s\/s**4))\/(s\/((s**(-3)*s*s*s)\/s)*s*s\/((s\/s**(2\/5)*s)\/s)) assuming s is positive.\nAnswer: s**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7306.3183 rounded to the nearest one hundred?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 - 13*l**2 - 5. Determine j(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166 and 1162.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000024821 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 3*r - 3*r + (-2 + 2 - r)*(5 + 1 - 5) - 2*r + 3*r + 0*r + 2*r + 1 - 1 + 1714 + 485*r - 1714 to v + g*r and give g.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 20*f - 5886. Suppose -z = 313 + f. What is z rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1184.026212 + 17.848688. Let i = 1202 - d. Let l = i - 0.132. Round l to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Let c(m) = -5 + o - m - 2*m - 3*m + m**2. Is 14 a factor of c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -39 and -29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwnnnnnwnwnnn. What is prob of sequence wwwn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.046\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32637, -32688, -32763, -32862, -32985?\nAnswer: -33132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((200 - 184) + (-1 - -10) - 58) + -17.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19410 = -36*q + 21*q. Suppose q + 4052 = 9*p. Calculate the highest common factor of p and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 7626930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 6 (b) 2 (c) 0.59823 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2040150 divided by -42\nAnswer: 48575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3591, -1 in decreasing order.\nAnswer: 2, -1, -3591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 3*s = 40, 0 = 3*s. What is the remainder when 39 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 9*d + 5. Determine v(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 5*p)*(-5*p**2 + 2*p**3 - p + p).\nAnswer: 4*p**4 - 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-15))\/((-1)\/(-10)). Let i(k) = -k**2 - 5*k - 1. Let z be i(-3). Which is the nearest to 0.1? (a) z (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.729 - 70.771. Which is smaller: -1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.27 - -0.27. Which is greater: t or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 17}. What is prob of sequence uu?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2526 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3257 (b) 3\/50 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -311675, -623399, -935161, -1246979, -1558871?\n\"Answer: -3*u**3 - u**2 - 311700*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from {y: 4, z: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83\/11, -7\/1528, 1\/5 in ascending order.\nAnswer: -7\/1528, 1\/5, 83\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.2. Let h = -2.1 - -3.1. Let r = h + f. Sort 0, r, 1\/8 in decreasing order.\nAnswer: r, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:25 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -795, -10, -4 in descending order.\nAnswer: -4, -10, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooowooo. What is prob of picking 3 o and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m - 12, -5*l + 5*m = 360. Let i = l - -42. Let d = 109 + i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - -65) + (7 + -1 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4\/2 + b**3 - 18*b**2 - 202. What is the second derivative of w(m) wrt m?\nAnswer: 12*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3038 = -196*f - 21*f. Solve 14 = f*i - 56 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11587 + 80.247.\nAnswer: 11667.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -11)*2\/(-3). Suppose 0 = -z + 5*p + 25, -2*z - p = 2*p + 15. Solve v - f*v = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164352257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (1 + -5) - 12. Suppose -666*i + 65 = -669*i + 5*b, 4*i - b = -30. Sort w, i, 0.\nAnswer: w, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398440123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -829*d**5\/60 - d**4\/4 + 4*d**3\/3 + 45*d**2. Let y be n(2). What is y rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 236 + 222 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002433 to six dps.\nAnswer: 0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 32. Is p bigger than 31\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144523 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8444, 8448, 8456, 8468, 8484, 8504, 8528?\nAnswer: 8556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*l*q**2*z**3 - 52*l*q**2*z**2 + 11*l*q**2*z + 27*l*z**3 - 2*q**2*z**2 - 3*q*z**3 wrt z?\nAnswer: 84*l*q**2 + 162*l - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x + 3. Suppose -x = 3*j - h + 8, -h + 2 = -j. Put 5, 1, j in ascending order.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1248 or 338658?\nAnswer: -1248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - (-1 + sqrt(19))) - (2*sqrt(228))\/sqrt(12) - (((sqrt(133) - sqrt(133)*1) + sqrt(133))*1 - sqrt(133))\/sqrt(7)*-6.\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = -346*u + 341*u + 62, -4*u = 2*t - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 + 0.07. Let w = -0.07 + 0.37. Let h = y - w. Which is smaller: h or 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95 - -3956?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (539\/637)\/((-66)\/858).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16947.3 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-20)*(-10)\/(-3))\/(-2). Do d and -24\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g + 16. Let s be 70 + (-12)\/g + 3. Suppose -5*u + 21 + 175 = -b, -s = -2*u + b. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Suppose 2*j = 5*j + 9. Suppose -2*a = 3*i, 0*a - 5*a = 15. Put j, i, d in descending order.\nAnswer: i, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4655 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q + 1. Let d(x) = 10*x + 8*x - 29*x**2 - 11 + 29 + 8*x**2. Let t(r) = -d(r) + 18*s(r). Let z(n) = -n**2. Calculate t(z(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1169 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (4 + 0 - (-4 + 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (17 - -40) + -34?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 334*i**2 - 2 + 333*i**2 - 4*i**4 - 2 + 4*i**3 - 2*i - 2*i**3 to the form r*i + p*i**3 + b*i**4 + k*i**2 + q and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1884*k**2 - 1560*k**2 + 3445*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-135)\/6)\/((-2)\/4). Suppose -c = g - 6*g + 3*l, -3*g - 4*l = -56. Suppose -s + g = 2*s. Solve 0 = 4*h - s - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.5 and -10381 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -48*r - 13*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27422171 is divided by 299?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -868576 less than or equal to -868568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 11. Suppose 4*p - 27 = j. Suppose 3*v + 3*r - 2*r - 23 = 0, -v - 2*r + 11 = 0. Calculate the smallest common multiple of v and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(2\/33)*w)\/w*w)*w*w)**(-42) assuming w is positive.\nAnswer: w**(-434\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:50 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 9*j + 9. Let b be (-52)\/(-12) - (-1)\/(-3). Calculate the remainder when 33 is divided by z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6526346.2 - -5821.\nAnswer: -6520525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0 + 87\/2*u**3 + 3\/2*u**5 + 27\/2*u**4 + 27*u + 117\/2*u**2 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48979 plus -2496295864?\nAnswer: -2496295864.48979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.4 and -310039263?\nAnswer: 310039267.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.9 + 211?\nAnswer: 338.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t - 48. Let p be f(-6). Let s be (5 - (-98)\/(-28))*4. Solve -4*r + j - s*j - 33 = 0, 2*j + 10 = p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*o = -7*p + 25, 0 = o - 3. Suppose 30 = p*l - 34. Solve -h + 7 = -l*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.151 + 0.082. Let k = q - 0.001. Let m = k + 1.069882. What is m rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78886643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, l: 7, e: 1}. Give prob of picking 3 u and 1 e.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 7321 + 7241 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3409.\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p**(-2\/83)\/p)*p\/(p*p*(p\/p**6*p)\/p)*p assuming p is positive.\nAnswer: p**(583\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/29, 0.01, -0.03, -0.2, -0.5, 15\/7, -0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -168, -254?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-24) - 30\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195830\/23139 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*h + 15. Find the second derivative of h*g - 4*g + 2*g - 2*g**4 wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/9)\/(5*(-2)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -164, -2\/17, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1869*k**2 - 10423*k - 10423. What is x(-1)?\nAnswer: -1869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*k + 31 = 0, 155 = 5*l - k - 4*k. Suppose 0 = -3*t + 5*p + l, 3*p + 25 = -2*p. Solve -3*d - 4*v + 5*v = -6, t*d + 13 = -5*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 3*y + 1. Let c(t) = t + 2. Let o be c(2). What is r(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/9 - 16*f**4\/9 - 8*f**3 - 6*f**2 + 33*f + 54.\nAnswer: -(f - 2)*(f + 3)**3*(f + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9321*o - 1668441. What is y(-179)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*d**5 - 9639*d**4 + 279267*d**3 + 456075*d**2 + 191328*d + 24012 = 0. Calculate d.\nAnswer: -87, -1, -2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(48)\/sqrt(6)) - sqrt(17)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51008 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 1\/111, 2\/11 in increasing order.\nAnswer: -0.5, 1\/111, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/31)*r**(-2\/7))\/(r*(r*r**(3\/5)*r)\/r*r**(-2\/9)) assuming r is positive.\nAnswer: r**(-26639\/9765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u. Let a(c) = c**2 + 87201*c - 1. Give z(a(l)).\nAnswer: 4*l**2 + 348804*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150940606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 199392073 to the power of 1\/2, to the nearest integer?\nAnswer: 14121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.4, 1 in increasing order.\nAnswer: 0.4, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1286 in increasing order.\nAnswer: -5, 3, 1286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 8*j**2 + 2*j + 9. Let g be o(4). Let q(a) = 9*a**3 + 6*a**2. Let x(y) = -26*y**3 - 17*y**2. Determine g*q(t) + 6*x(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/2)\/(5\/(-110)). Let x = 200 + g. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 618777.\nAnswer: -2\/206259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12aa63 - 2a?\nAnswer: -12aa92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Let h(x) = -x**3 + 2*x**2 - x + 2. Let o be h(m). Let a be 3 - (2 - -1 - o). Solve 2*b + 2*r - 4 = a, -4*b = r + 2*r - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + n - 1. Let d(x) = 12*x**2 - 11*x + 11. Suppose 7*c = 6*c - 22. Let m(u) = c*z(u) - 2*d(u). Let w(t) = -10*t. Calculate w(m(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -83.1. Let u = -50 + 252\/5. Which is the smallest value? (a) -2 (b) 2 (c) u (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 10. Determine o(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/4729 + 524939\/47290. Find the common denominator of d and 97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 - 37808*p + 89340304 = 0. Calculate p.\nAnswer: 4726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0 - 4*k - 3*k + 1 + k**2 + 2*k. Let p be b(7). Calculate the greatest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1125 - -449\/1125. Let j = -40 + 37. Which is the third biggest value? (a) n (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 299345, 299343, 299345, 299351?\n\"Answer: 2*f**2 - 8*f + 299351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-4.052\nAnswer: -0.28364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, u: 1, q: 2, m: 1, t: 2}. Give prob of sequence tzq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.77179 + -0.07169. Let v = -0.7 + z. Round v to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(2535\/30)*(-2)\/(-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 35268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/13)\/k*k**(-7))\/(k**(-1\/11)*(k\/k**(12\/5))\/k) assuming k is positive.\nAnswer: k**(-3609\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**2. Let l(h) be the second derivative of h**6\/720 + 5*h**4\/6 + 8*h. Let q(a) be the third derivative of l(a). Give m(q(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 168, -11, -5, 3 in ascending order.\nAnswer: -11, -5, 3, 4, 5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.35 (c) -5 (d) -8\/7 (e) -2 (f) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2 - 6*r - 3. Let i be q(-4). Let w be (-10)\/(-35) - i\/(-7). Let b = w + 15. Which is smaller: -4\/9 or b?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 72.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*n*o**2 + 2*k*n*o + 9*k*o**2 - 32*k*o + 14716*n*o**2 - 32*n*o - 84*n + 3 wrt o.\nAnswer: -2*k*n + 18*k + 29432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f - 5*j - 17, 0 = -j - 5. Let h(o) = 24*o**f - 7*o - 14*o**2 + 4 - 7*o**2. Let k be h(3). What is the greatest common divisor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*q + 262*q - 440*q.\nAnswer: 49*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -221343 (base 5) to base 12\nAnswer: -4577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnpn when four letters picked without replacement from {n: 3, x: 3, p: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbbbhbbbbbbbbbbbbb. Give prob of sequence bhhb.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -640 + 610. Let u = -14 + 14.3. What is the closest to j in u, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*t + 42 = -v, -4*v = -t + 42. Calculate the greatest common factor of t and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/92*6\/(-15). What is the closest to r in -4, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:42 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -30.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -16*m**2 + 9*m - 4. Let k(p) = 4*p**2 - 2*p + 1. Let c(l) = 9*k(l) + 2*w(l). Let v be 7\/(-5) + (-2)\/(-5). What is the units digit of c(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -1\/6, -1032?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015941 is divided by 403157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1403?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6559947 months?\nAnswer: 0.0054666225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(260))\/(sqrt(40)\/sqrt(2)))\/(((sqrt(80)*3)\/sqrt(5))\/(sqrt(324) - -1*sqrt(324))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c4 + -9a3?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1045\/(-209))\/((-5)\/((-10)\/12))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.7 + -26. Let z = 8 + l. Let i = -3 + 3.4. Which is the second biggest value? (a) -1\/4 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 112\/(-6) - 2\/(-3). Let k be (-27)\/(-6)*(-8)\/t. Suppose -4*c + k*c = -16. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1430*t**2 + 7*t + 1314. Let z(a) = -1432*a**2 - 11*a - 1316. Let k(w) = -3*v(w) - 2*z(w). Find the second derivative of k(p) wrt p.\nAnswer: -2852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/5 and -26\/1688677.\nAnswer: 8443385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.5 - -52.5. Let v = q + -65.00049. Round v to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 + 10 + 0*s**2 - 5*s**2 - 2*s**2 - 8*s. Let l(u) = -u**3 + 4*u**2 + 2*u - 2. Calculate the lowest common multiple of l(4) and m(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*f = 8 + 2, -f + 7 = -i. Let j be ((-5)\/2)\/(2\/i). Solve -j*o = -3*x, o + 4*x - x = 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 1*(sqrt(110) + (sqrt(110) - -1*sqrt(110))))\/(sqrt(100)\/(sqrt(10)*2)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1337, 1361, 1401, 1457, 1529?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -59 - 45. Let a = m - 21. What is the remainder when 13 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2924 + 7194. Is m a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -274.31 - -272. Let o = -2.3246 - t. Round o to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -1, -24\/7, 3, -1463, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 5 - 4) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4734566 by 1.\nAnswer: 4734566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - -6*sqrt(114)*4)*2)\/(-6*sqrt(486)*-5).\nAnswer: 5*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -9674 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/2303 - 205417\/69090. Let u(c) = 40*c - 144. Let n be u(4). What is the common denominator of f and (-620)\/(-792) + n\/36?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 61?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, 18\/17, -0.19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/84965306 and 79\/22.\nAnswer: 934618366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 160741201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*r - 40. Suppose 2*o - x - r = -2*x, 5*o - x = 49. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 2. Let u(o) = o**3 + 23*o**2 + 23*o + 25. Let t be ((-99)\/(-6))\/(21\/(-28)). Let m be u(t). Determine w(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 232*n**3 - 204*n**2 - 1368*n.\nAnswer: -4*n*(n - 57)*(n - 3)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + 4 - 1 - 4 + (0 - 6 + 4)*(3 - 3 + 2) - 2 + 1 + 2 - 4 + 3 + 0 - 4 + 1 + 1 - 2 + 2 + 3)*(-33 - 4 + 4)*(3 - 3 + 2*x**2).\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019275 to four decimal places.\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -60*d + 542. Let b be i(9). Solve -2*u - 6 = 5*t, -b*t + 2*u = u + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*q**2 + 6646267*q - 326959292?\nAnswer: 36*q + 6646267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**6 - 299*n**5*w - 274*n**2*w wrt n?\nAnswer: -240*n**3 - 17940*n**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/60 - v**3\/6 - 4*v**2. Let t be g(1). Which is greater: 7 or t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 15 + 2*m**2 - m**2 - 17 + 16*m. List the prime factors of c(-17).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 0*q + 0*q)*(-18 + 8 + 7 + (3 - 3 - 15)*(2 - 2 - 1))*(-2 - 2 + 0) to the form h*q + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6802, -7106, -7582, -8230, -9050, -10042?\nAnswer: -11206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -184\nAnswer: 3\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - q + 220 = 0, -4*r + 3*q = -176. Suppose 4*d = -r - 216. What are the prime factors of d\/(-35) + (-1)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -10348 - 212. Calculate the remainder when o is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001222 (base 4) in base 6?\nAnswer: 102230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/700*35*1\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269721328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4445671 = 48*a - 446489. What is a rounded to the nearest one thousand?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 3*r**2 - 2*r + 2. Let t be s(-2). Let p = 132 - 130. Determine j so that -9\/2*j**p - 6*j - t = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose f = -4*b - 26, h*b - 5*f + 7 = -1. Is b smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/4*(1 + -5). Suppose p*v - 10 = 6*v. Suppose -v*z + 4 = 0, z - 2*z + 59 = 3*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52471 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.195\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -287449.985005+15\nAnswer: -287434.985005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {o: 1, y: 2, w: 2, u: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42303143 (base 6) to base 11\nAnswer: -7754a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1130 and 32970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 158. Let c = b + 65. Solve l + c*l + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1188*u - 33666. What is c(29)?\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i**2 - 4. Let u be k(3). Let r be -40 + (u + 1)\/3. Let w = 130 + r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0768623 from 9073.\nAnswer: 9073.0768623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 22. Suppose f = -q + y - 0, -q + 4*f = 23. Let h(j) = -53*j - 18. What are the prime factors of h(q)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = 3*z, 0*z - 17 = -3*j - 4*z. Find the third derivative of 2*c**2 - 2*c**j + 0*c**2 + 11*c**3 wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1674 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 37*d. Let m(c) = 345*c + 13. Let h(i) = 924*i + 35. Let l(x) = 10*h(x) - 27*m(x). Calculate 2*l(f) + 5*r(f).\nAnswer: 35*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4951315 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21130 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-35)*(6 - 8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -144, -177, -246, -363, -540?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3319 = 14*t - 2057. Let z = t - 357. Which is smaller: z or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1954\/15939 + -2\/1449. Is -1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 22*n**2 - 9*n + 4. Let m be j(10). Let o be ((4 - m) + 7)*(2 - -1). Suppose -4*b + o = 1223. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/(-105) - (-26)\/21. Which is the biggest value? (a) -6 (b) 13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/16 - (225\/(-40) - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 - 16\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(224)\/sqrt(4))\/((-4*sqrt(80) + sqrt(80))\/sqrt(10) + sqrt(8)) + -2.\nAnswer: -5*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(48*c - 114*c + 114*c + 126*c) to u*c + n and give u.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - y = -28, -265910*h + 265912*h + 5*y - 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 + 6*f + 15. Give g(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.93 + 0.07. Let j = y + -5. What is the nearest to -2 in -2\/17, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*p + 42, 1368*p - 1369*p + 102 = -13*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/896 and -75\/28.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**7\/210 + o**6\/120 - o**5\/60 - o**4\/24 - o**2 - 1. Let g(u) be the second derivative of k(u). Find i, given that g(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4059366 at least -4059369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13922 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*w + 20 = 0, -2*w + 12 = 3*r + 2*w. Let n(f) = -4*f**2 - f + 5. Let l(y) = -y**2 + 2. Let h(z) = 8*l(z) - 3*n(z). Is h(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24682\/(-6)*(-561)\/(-170). Let y = 13587 + x. Find the common denominator of -29\/2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5881246 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-3)*((-56)\/5 + -2). Let d = -43 + v. Which is the second smallest value? (a) -1\/3 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 18. Solve 4*d = -a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190125 - 104*x**2 + 216*x**2 - 107*x**2 - 1950*x.\nAnswer: 5*(x - 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-348.4654\nAnswer: -1045.3962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 14 = 438. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 163545642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24268.83 months to decades.\nAnswer: 202.24025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -597709 + -160?\nAnswer: -597869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115 + 29 + 76)*(4\/(-16) + (-11)\/(-4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:52 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25377049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 8. Let v be k(10). Let s be 1\/(2*(-2)\/(-28)). Let j(n) = n + 1. Let t(z) = -3*z - 3. Let d(u) = s*j(u) + 2*t(u). Determine d(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294983892 divided by 342?\nAnswer: 862526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008996184 rounded to five dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (-6 - 0 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474, 1915, 4324, 7707, 12070, 17419, 23760, 31099?\nAnswer: 39442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02472 from 720.\nAnswer: 720.02472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -83*a - 1107. What is the units digit of u(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4230 and 80182?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u + 267784 = -14*u. What are the prime factors of u?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 21*i**2 + 9*i. Let o(k) = -9*k**2 - 4*k. Let l(g) = 6*m(g) + 13*o(g). Let x(z) = 13*z + 7*z + 7*z - 37*z + 11*z. Determine x(l(p)).\nAnswer: 9*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 62943.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -500, -730, -948, -1154, -1348?\nAnswer: -1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 154. Let g = w - 96. Solve 0 = 2*i - i + g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 4*j - 1. Let k(i) = 0*i + 2967508*i**2 + i - 2967507*i**2. Let p(m) = m**3 - 6*m**2 - 8*m - 2. Let l be p(7). Determine l*k(g) - 2*b(g).\nAnswer: -3*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**2 + 5*y - 5. Let d(g) = 21*g**2 + 11*g - 10. Let q(j) = 6*d(j) - 11*n(j). Let r(t) = -3*t**2 - 2*t + 1. Determine -2*q(c) - 11*r(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 22*d + 65. What is the tens digit of l(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let l(q) = -4*q + 5*q + 0*q. Let s(r) = r**3 + 22*r**2 + r + 19. Let p be s(-22). Calculate p*u(t) + 2*l(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 157. Solve -y + g + 8 = -3*y, 20 = -t*y - g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 513. Calculate the remainder when r(16) is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + 27. Suppose 11*b - o = 19. What is the hundreds digit of b\/9*531\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and -4\/299757.\nAnswer: 1199028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(-3*(sqrt(343) - (-3 + sqrt(343))) + (1*sqrt(343) + 5 - sqrt(343)))*-5)**2*3.\nAnswer: 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u - 117*u - 6642 - 2026 = 0 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680, -1308, -1952, -2612, -3288, -3980, -4688?\nAnswer: -5412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -326, -614, -1018?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36968 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from xxxxxxxyxyx.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**(1\/2))**(-23)*((w*w**5\/w)\/w*w**(1\/3))\/((w\/(w\/(w\/w**(1\/2))))\/((w*w**(-6))\/w)) assuming w is positive.\nAnswer: w**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:18 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76956 and 1202676.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*j - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -6, 5, 1.\nAnswer: -6, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -852 divided by -2?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -17*h + 1988. Suppose h + 335 = 26*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - ((3 + 11 - 23) + 7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -114777, 1, -1 in descending order.\nAnswer: 5, 1, -1, -5, -114777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2812.\nAnswer: 281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67279761 is divided by 982.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*u - 3*h + 5, 0 = -2*h - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = q + 5*n, 161*n + 13674 - 648 = -9*q + 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*j - 246 = -285 - 921 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, m: 7}. Give prob of picking 3 m.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 7*q + 4. Let i(r) = -7*r**2 - 15*r + 6. Let u(j) = -3*i(j) + 5*z(j). What is u(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*p**3*u + 132*j*p**3 - 2*j*p**2*u + 2*j*p**2 + j*p*u - 1269359*j*p - p**3*u - 5801*p**3 - p**2 wrt p.\nAnswer: 6*j*u + 792*j - 6*u - 34806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1122 and 25058.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let n(r) be the first derivative of 0*r + 0*r**2 + 3 + 1\/3*r**3. Calculate n(u(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35162 - -50557. Round b to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 8. Calculate i(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**4 - 4*g**3 - 14*g**2 - 4. Let c(r) = -3*r**4 + 3*r**3 + 15*r**2 - r + 5. Let f(d) = -4*c(d) - 5*j(d). Factor f(w).\nAnswer: 2*w*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 73312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-9)\/4))\/(3744\/216)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8051 - 8056. Let w(s) = 13*s + 65. Determine w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15217661*q**5 - 49*q + 19383.\nAnswer: 304353220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from zdiiwzdzz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.05 + -1.45. What is the nearest to -0.1 in 0.1, 7, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0 = 3*w + 5, 5*l - 35 = -3*w. Suppose 2*i = 2*u - 3*u + 7, 0 = u - l*i + 5. Solve p = -1 - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242346055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2043113241 + 1?\nAnswer: -2043113240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -21931.82 to the nearest ten.\nAnswer: -21930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 2, n: 4, y: 4}. Give prob of sequence yx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-330)\/(-24))\/(1\/4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*k**3 + 0*k**3 + k**3 + 17*k**3 + 1593*k**2 in the form n*k**2 + w*k**3 + j*k + v and give n.\nAnswer: 1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/911, -1, -2, -43, 0.23 in descending order.\nAnswer: 1\/2, 0.23, 2\/911, -1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 89136.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2)\/y*y\/((y\/(y*y\/(y\/y**(1\/15))*y*y))\/y))**(-2\/7) assuming y is positive.\nAnswer: y**(-62\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyhqqhotxyo. What is prob of picking 1 x and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/21952 and -67\/117992.\nAnswer: 943936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 18*f - 21399. Calculate the remainder when f is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*u - 12064 - 2858 = 0, 2*j = 2*u + 14938. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/1*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*t - 14*k + 204 = -34*k, -3*t - 22*k - 208 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -37760861.\nAnswer: 37760858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 43*n + 234. Determine y(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yplplylyylpylcl. What is prob of picking 3 y and 1 c?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802115 > 24010579\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/116709 and -49\/11593094.\nAnswer: 34779282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.05 + -0.05. Let r = -3639.59964 - -3641.6. Let s = n - r. Round s to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - -1.7. Let r = 454849\/9 + -50596. Let l = 57 + r. What is the smallest value in l, 0.4, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-27))\/((-12)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2424 divide 1108707393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -350*z - 41. Is s(-9) 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 tststdss. What is prob of picking 3 s and 1 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 277 + -156. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + c - 217286 = 0, -c + 35 = -6*c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32356733*y**2 - 44*y - 120804.\nAnswer: 64713466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 145*w + 162. Calculate j(2).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 13*z - 49. Let j be g(-9). Let u(m) = m**3 + 4*m**2 + m + 1. Determine u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 15. Suppose 3*h = -2*w + 23, 4*w + w = 2*h + s. Let y(v) = -13*v**2 + 2. Let k(a) = -6*a**2 + 1. Calculate w*y(z) - 9*k(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735 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: Suppose 0*d + i = d + 4, -i + 8 = 3*d. Suppose -3*p - d - 7 = -2*n, 0 = 2*p + 4*n. Let r = 3 - p. Solve 3*k - 4*k + r = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*y - 14*u + 11*u, 2*u = -8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17021850139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18440.25 take away 144418?\nAnswer: -162858.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189 - 169 - (0 - 0 - (-2 + 2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000293298269 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (56 - (-394)\/(-182)*26) + 516\/(-7)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 3.06\nAnswer: 25.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 146, 290, 434, 578, 722?\n\"Answer: 144*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29623 + -79657. What is s rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k - 3*k + 14*k + 7*k**3 wrt k?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.66 rounded to 0 decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*t - 21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -44, 149415, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2673\/(-6237) - (14\/21 + (-866)\/714)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49987570931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 12 - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4266 + -14a1?\nAnswer: -5747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519800.\nAnswer: 2, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-18))\/((-1)\/5). Factor -l*k + 2\/3 - 7\/3*k**2.\nAnswer: -(k + 1)*(7*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.8. Let v = -5 + p. Let j = 6 - 5.7. Which is the second smallest value? (a) j (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 - -151. Solve w = -z - 8*z - 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + v + 1. Let q(x) = 3*x**2 - 5*x - 7. Let z be (-2)\/8 + 25\/4. Let s(n) = n**3 - 10*n**2 + 23*n + 7. Let h be s(z). What is h*q(o) + 5*d(o)?\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.68 and -20.\nAnswer: -30.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-45)*12\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 794 divided by -1995\nAnswer: -794\/1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + -a7?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 5.9.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -11*s**2\/2 - 104*s - 56. Let t be u(-11). Solve -15 = 14*j - t*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:42 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3\/431, 2\/3, 415 in increasing order.\nAnswer: 3\/431, 1\/3, 2\/3, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 8*l + 4. Let u be h(-8). Suppose -4*n + u = -0*n. Let q be -1 - -368 - (-3)\/n. What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.07 (b) -4 (c) -459 (d) 69 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4 - -16) + 1 + 0\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24d3 (base 14) to base 16\nAnswer: -1939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12*p**3 - 65*p**2 - 26*p - 19. What is the hundreds digit of k(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 58404.98ns?\nAnswer: 0.05840498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 20976*g + 36666048.\nAnswer: 3*(g + 3496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.2. Let r = -143890 - -143894. Let x = -291\/200 + 11\/8. What is the closest to 0.1 in b, r, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*y**2 - 49*y**2 + 44*y**2 to b*y**2 + g*y + n and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 235. Let w = q + -193. Which is the third smallest value? (a) w (b) -3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - d**3 + 4*d**3 - d**3 - 10*d**2 - 2 + 6*d. Let j(q) = q**2 - q. Let t(k) = 5*j(k) + z(k). What are the prime factors of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69035 (base 14) in base 7?\nAnswer: -2112065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1270 (base 8) to base 14\nAnswer: 37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/(-117))\/(2\/3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + (-2 - -1) + 1981512\/377.\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21*l - 34. What is the units digit of x(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-2))\/(7\/350).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8107, 9, -4 in descending order.\nAnswer: 9, -4, -8107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 2*x + 2*x. Suppose -12 = -4*j - 0*j. Let l(h) = j*h**2 + 0*h**2 - 5*h**2. Determine l(v(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 + 18*o - 15. Let t be g(7). Suppose 0*a + t*a = 65. Solve 2*j = -1 + a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.5 and -143.\nAnswer: -5076.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 6*a - 21. Let n be z(8). Let w(m) = m**2 + 5*m. Determine w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3236.601512 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -816*g + 6. Let h be p(-11). Suppose 0 = 6*o - 0*o - h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/4*32\/48. Let h(w) = 16*w**2 - 16*w - 25. Let s(f) = 3*f**2 - 3*f - 5. Let a(o) = y*s(o) + 2*h(o). Determine a(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*w, 4*g - 63 = -4*w + 7*w. Suppose 0*y - 4*y = -g. Let z = 6 - y. Solve -z*k - 6 + 21 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 8:40 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444702 is divided by 198?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z + 10. Calculate the smallest common multiple of z and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559110.1mm in kilometers?\nAnswer: 0.5591101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*1*5 - sqrt(12))\/(sqrt(72)\/(sqrt(48)\/sqrt(4))))**2 + (sqrt(14) - sqrt(56)*-1)\/(sqrt(49)\/sqrt(28)).\nAnswer: 6*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56559 is divided by 18822.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(-17*6\/(-9)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - 17. Find the common denominator of (-6)\/(-16)*142\/(-15) and ((-26)\/(-33))\/(12\/l).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -181*s**2 + 7966*s - 135. What is b(44)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 - 13*b + 10. Suppose -24 = -3*k - 0*k. Let a be i(k). Suppose 3*l - 431 = -a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 22*q + 846. Let b be u(-36). Solve -3*c - 31 = 5*v, -19 = -5*c - 5*v - b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 2055*m - 23. What is w(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 405 + 15 = -4*z, 120 = -z + 3*c. What is the common denominator of -2 - 1 - (-33)\/z and -17\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 2. Let a = 0 + -2. Let f be b(a). Suppose -5*p + 10400025 = -f*j, -4*j + 2*p - 20799980 = 6*p. What is j rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 398050406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -177\/506 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -238, -219, -186, -133, -54, 57?\n\"Answer: x**3 + x**2 + 9*x - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110110 - 0?\nAnswer: -110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64496 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 3, -4, 0.2, 136, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**4 - 5*g**4 + 4*g**4)*(-4 + 1 + 0) + (0 + 0 - 2*g**2)*(g**2 - g + g) in the form i*g**2 + t*g**3 + q + z*g + v*g**4 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*h - 52*h + 92*h - 2 + 5 + h - 1 + (-1 + 1 - 1)*(-4 + 9*h + 4) in the form y*h + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -84, 3 in ascending order.\nAnswer: -84, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 83 = -3*a. Let w be a\/(-126)*2\/(-8). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 23 + 3*r - 6 + 6 - 2*r. Let t be x(10). Let q = t + -8. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, -0.4, -71, 0.3, 5.18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 562026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 257*u**2 - 31*u - 1. Give q(-1).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159 - -161. Suppose 0 = 3*j, -3*y = k*j - 424 + 28. Suppose 4*m = -2*d + 50, 5*d - 88 = -4*m + 61. Calculate the highest common factor of d and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 + 375*c\/2 - 75537\/4.\nAnswer: 3*(c - 77)*(c + 327)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64682, 129381, 194092, 258821, 323574, 388357, 453176?\nAnswer: 518037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 + 445*w**4 + 50163*w**3 + 144755*w**2 - 195364*w = 0.\nAnswer: -221, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - 5. Let p = -89 + 84. Let j(f) = -f**2 + 4*f + 4. What is p*j(z) - 4*i(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183875 and 920.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5065*w**2 + 0 - 2 + 5259*w**2 + 2.\nAnswer: 194*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*b**5 + 1214*b**4 + 61286750*b.\nAnswer: 6860*b**3 + 14568*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s - 1\/4*s**4 + 25*s**2 + 1\/60*s**5 - 5\/6*s**3 + 0. Give n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 12*z + 1 + 48*z. Let f = 38 - 37. What is the units digit of d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 30 + 36 + 7 - 73 - 2*a. Let q(k) = -k**2 - 44*k - 1. Determine b(q(t)).\nAnswer: 2*t**2 + 88*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11331 (base 4) to base 16.\nAnswer: 17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -8. Let z be 56\/d - (-1)\/(-3). Let s(g) = -4*g - z + 9. Let y(k) = -2*k**2. Calculate y(s(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:56 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let f be (2 + 918)*((-14)\/4)\/(-7). Let z(t) = -525*t - f*t + 831*t. Determine n(z(l)).\nAnswer: -308*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/37))\/(i**(-2\/29)*i))**7)**39 assuming i is positive.\nAnswer: i**(4368\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 5*y**2 - 1 - 5 + 2. Let a(g) = -g**2 - 1. Let d be ((-42)\/(-9) + -3)\/(245\/147). Determine d*u(i) - 4*a(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-26)\/10)\/(4\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2280*t + 1499. What is the thousands digit of a(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - a**2 + 342 - a**2 + 693 + a + 6*a**2 in the form r + c*a**2 + n*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -484, -12\/43, -2, 0.04.\nAnswer: -484, -2, -12\/43, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/13, 7, 1.2, -0.25, -4?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1606460?\nAnswer: 2, 5, 47, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.63 + -3.73. Let o = k - -3.5. Let l = -7.7 - -8. Which is the biggest value? (a) 1 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.3, -1.2, 11.82, -1\/4?\nAnswer: 11.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 + 4*b**4 + 17*b**2 - 4*b + 2*b to the form o*b**2 + v*b**4 + m*b**3 + d + g*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17958411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*h, 2*m - 1288 = -6*h + h. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 + 67 - 67)*(-739*f**2 + 465*f**2 + 394*f**2) + 0*f**4 - 4*f + 3*f - f**4.\nAnswer: 1439*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4 - 20739*w**3 + 35893926*w**2 - 178661604*w - 501064872 = 0.\nAnswer: -2, 7, 3454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*h**3*y**2 - 3*a*h**2*y - 2*a*h**2 - 141*h**3*y**2 - 35*h*y**2 wrt h?\nAnswer: 24*a*y**2 - 846*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1903?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229519149\/10 + 23568289. Let s = j + -617094. Let g = -722 - s. Calculate the common denominator of g and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cao when three letters picked without replacement from {o: 1, c: 4, g: 6, a: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 - i. Suppose 0 = s - 5*s. Let v be z(s). Which is the closest to v? (a) -0.3 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8482 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1877973 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-64000)\/28000)\/((-172)\/(-14))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9439116901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27158 is divided by 610.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1541, -2005, -2395, -2711, -2953, -3121?\nAnswer: -3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -48, 2, 3\/4, 2\/15, -3, -0.21, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 2 = -17*m. Let w(o) = 43*o**2 - 2*o - 2 + 40*o**m - 10*o**2. What are the prime factors of w(-1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 4*y**2 + 13*y + 33. Let q(m) = -7*m**3 + 17*m**2 - 51*m - 128. Let h(i) = 3*q(i) + 11*t(i). What is h(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042649028 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from etthett.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251849.978334 plus 86?\nAnswer: -1251763.978334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54720225?\nAnswer: 3, 5, 7, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n**3 + 1226*n**2 - 136*n + 1. Calculate z(68).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10875 - 3*s + 4*s**2 - s**2 + 4*s + 686.\nAnswer: 3*s**2 + s + 11561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4234, 4235, 4224, 4195, 4142, 4059, 3940, 3779?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - -26785405?\nAnswer: 26785350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -7 + (4 - -4). Suppose v = -29*s + 20*s. Solve s = 5*x - 10 + 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1944 and 1440?\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -28. Suppose -g + m = n, 16 = -2*g + 4*n - 0*n. What is the derivative of 21 - 5*t**2 + g*t**2 - 12 - 3*t**2 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 0.1, -0.66, 0.01, 0.4, 1695?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 1. Let l be w(1). Let f be 1\/2 - 35\/(-10). Calculate the highest common divisor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 963.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1712\/9 + -190. Which is the nearest to 1? (a) 4\/3 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 78*u**2 + 63. What is j(39)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**3 - 15*p**2 - 27*p**2 + 20*p**4 + 11*p**2 - 17*p**2 + 16*p.\nAnswer: 4*p*(p - 1)*(p + 2)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8912179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1313 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 6*r + 3. Let n = -1 - -7. Let z be o(n). Suppose z*v - 100 = -w, -4*v - 63 = 3*w - 358. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*-1 - sqrt(120))\/sqrt(6) - sqrt(25)\/(sqrt(5) - sqrt(125)*2).\nAnswer: -35*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y - 75. Let w be s(-8). What is the greatest common factor of 53 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 15.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 649376024 to the power of 1\/3, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-480)\/45 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -593040569364839+-0.3\nAnswer: -593040569364839.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1703 and 27903.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -2, 5, 64, -23, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggpppg. Give prob of sequence pg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 890 - 890. Put 0.5, y, 1\/6, 2, 11\/2 in increasing order.\nAnswer: y, 1\/6, 0.5, 2, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.31?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 1 + sqrt(242))*-4)**2.\nAnswer: -25344*sqrt(2) + 141696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/6485 and -13\/695?\nAnswer: 901415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15899462.\nAnswer: 2, 7949731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 1, l: 1, h: 1, m: 1}. Give prob of sequence tq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2927 + -2805. Calculate the highest common factor of 2867 and n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -20, -13, 10, 55, 128, 235, 382?\n\"Answer: j**3 - j**2 - 7*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 131?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -54*h**3 + 3673*h**2 - 113*h + 3058. Determine m(68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 divided by 108?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/3*786\/1834?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c + 5800000. Round c to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 11*u - 5*u. Solve 0*q - u = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 13 - (-11 + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158130*y**5 + 50393*y wrt y.\nAnswer: -3162600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*j - 259 = 500*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 1320*d**2 + 1322*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 1239 - 403 = 0. What is the remainder when 181 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 2.5. Let j = x + -0.3. Let w = j - -0.5. What is w rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52786351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -125*m**8\/16 - 29*m**5\/60 - 25*m**3\/3 - 112*m**2 - 35. Find the third derivative of j(a) wrt a.\nAnswer: -157500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12292*i**3 + i**2 - 3*i - 2. Let k be n(3). Let h be k\/(-6)*-3 - 3. Suppose 2*w + h = 45938. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 168\/44 + 150\/825. Let c(w) = -32*w + 14. What is c(u)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 18*c + 46 = 0. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (51 + -66 + 47)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, -7, 1\/5, 0.3, -35, -2, -0.8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 + 3. Let t be o(-7). Let i be (-451)\/(-82)*(-20)\/(-55). Let v = -8 + 6. Sort -1, v, t, i in increasing order.\nAnswer: v, -1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-173)\/(20241\/(-78)))\/(14\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3aa5 (base 12) to base 7\nAnswer: -25451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 0*l - l**3 + (-5*l + 4*l**3 + 5*l)*(0 - 3 + 0)*(-4864 - 5501 + 11744) as i*l + z*l**3 + u*l**2 + s and give z.\nAnswer: -16549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 plus -10727676600?\nAnswer: -10727676599.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 3 (d) 1 (e) -1197 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5985*x - 125695. Give p(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/18 - (-1)\/3. Let z = 135 - 75. What is the remainder when z is divided by (-6 + (-21)\/(-3))\/(c\/93)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 - -6.61. Let u = -15 - -21. Let z = u - h. Is z greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -17.8. Let p = 110.888 + -114.5. Let q = x + p. Round q to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlc when three letters picked without replacement from ycyytyllytjytyyjtjjy.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 15952*o**2 + 15938*o - 95700.\nAnswer: 2*(o - 2)*(o + 3)*(o + 7975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1496 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - v = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -15\/16 (c) -0.04 (d) -0.3 (e) -0.4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i + 5*i - 1 + 1 in the form z*i + x and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 291167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = -45. Calculate the remainder when (5\/(-3))\/(3\/y) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7934338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**3 + 725*o - 9158.\nAnswer: -12*o**2 + 725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.70895 + 0.29105. What is the smallest value in -2\/3, 4\/5, 2, 0, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 230 = -85. Let c be (-12)\/(-1) - (6 - 3). Calculate the greatest common factor of p and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12034 > 12034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 + 57. List the prime factors of (c\/30)\/((-6)\/80).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:18 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7147303.\nAnswer: 7147303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17835 is divided by 1980.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2787*o**2*t**3*w**3 - 3*o**2*t*w**2 - 4*o**2*w**3 + 2*o**2*w**2 + 8*o*t**2*w + 8*t**3 - 9*w**2 wrt w?\nAnswer: 16722*o**2*t**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -606490708037 less than 1?\nAnswer: 606490708038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 9*z**2 + 0*z**4 - z + 0*z + 2*z**4 + 10*z**2 - 89*z**3 to the form k + x*z**4 + f*z**2 + s*z + y*z**3 and give y.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399898 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1334233903216 and -0.5.\nAnswer: 1334233903215.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**6\/z)\/(z*((z\/z**1)\/z)\/z*z))\/(z**(-5)*((z*z**(-5)*z*z*z*z)\/z)\/z))**31)**(-29) assuming z is positive.\nAnswer: z**(-10788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17599850 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/7))**17\/(q**21*q)**(11\/2) assuming q is positive.\nAnswer: q**(-694\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*l = 153*l + 7215 + 1898 - 836 for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*b - 3*t, 5*t - 17 = -2. Is -1 + (-454)\/b*(2 - -1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5949.3*-34.64\nAnswer: -206083.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + h - 7. Determine t(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + 5*h. Suppose -2*n + 16 = b - 4*b, 5*b - 5 = -3*n. Let m be a(b). Calculate the highest common divisor of 290 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -197*s**4\/4 - 5*s**3\/3 + 6*s**2 + 37*s - 15. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071032348 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8378299 days to minutes.\nAnswer: 1206.475056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051583 is divided by 210295.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5061*a + 46. Let g be q(-14). Round g to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20804 and 72408.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -15, 1.\nAnswer: -15, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.47 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 29714\/24879?\nAnswer: 29714\/24879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 7, m: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - 2*t**4 + 2*t**4 + (2*t**3 + t**4 - 2*t**3)*(4 - 1 - 4) + t**2 - 11*t**4 + 13*t**4 - 8*t**4.\nAnswer: -8*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(133)*-5 - sqrt(133)) + -4*2*sqrt(133))\/((sqrt(336)\/sqrt(6)*1)\/sqrt(8)))**2*-3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3746599 is divided by 5182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/g)**(-49)\/(g\/(g*g**(2\/23)\/g)*g*g*g**11*g*g) assuming g is positive.\nAnswer: g**(10904\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -645, -1450, -3681, -8052, -15277, -26070?\n\"Answer: -119*x**3 + x**2 + 25*x - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -24*o. Let j(q) = 4*q**2 + 1. What is n(j(w))?\nAnswer: -96*w**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19457689.\nAnswer: 457, 42577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:19 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 6. Let k be d(-12). Let l(g) = 2*g**2 - 59*g + 5. Let n be l(26). Let h = n + 177. Solve -2*c + 2*i = k, h = 2*c + 4*i - 6 - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05081 and -309.\nAnswer: 15.70029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -27*v**4 + 1554399*v**3 + 8809368*v**2 - 13818324*v + 4836384 = 0.\nAnswer: -7, 2\/3, 57576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkbnknnkbkk. What is prob of picking 1 b and 1 n?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -4, -1\/4, -47739, -2 in descending order.\nAnswer: 2\/17, -1\/4, -2, -4, -47739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1356 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1218 times -9\nAnswer: 10962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 21. Suppose -t*q + 96 - 31 = 0. Find the third derivative of 20*r**4 + 17*r**2 - 33*r**4 - 14*r**5 + q*r**4 wrt r.\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10716 - 10714. Let i = 0.1 - 0. Which is the nearest to i? (a) -1\/3 (b) h (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1218*h**3*k**2*w + 274*h**3*k*w + 2*h**3*k - 2*h**2*k*w - 2*h*k**3 - 3*w wrt k?\nAnswer: -2436*h**3*w - 12*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 8*r + 1. Let a(s) = 2*s**2 + 6*s - 1. Let u be a(-4). Determine i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Let h(o) = -o**3 + 1. Let n = -10 + 9. Let v = 7 + 3. Let c = -11 + v. Give c*r(z) + n*h(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 3*l)*(107*l - 1719 + 1719) + 21*l**2 - 18*l + 18*l.\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -4 (c) -0.0296 (d) 3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51654 divided by -6.\nAnswer: -8609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + 4 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*w**2 + 13*w**6 - 35*w**5 + 35*w**5 + 5*w**6 wrt w?\nAnswer: 2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 - 742*d + 44232\/5 = 0.\nAnswer: 12, 1843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0 - 2\/15*k**6 - 2\/3*k**4 + 20*k**2 + 0*k + 0*k**3 + 0*k**5. What is the second derivative of m(q) wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(19) - (sqrt(19) - (1 + sqrt(1539)))**2.\nAnswer: -1217 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20.94 in -422\/5, 3, -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9*m\/(m**(2\/9)\/m)*m)\/(m**(-7)\/m**(-7)) assuming m is positive.\nAnswer: m**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9708189341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 2*u)*(-8*u**4 + 9*u**4 - 8*u**4) + (u - u + 2*u)*(-2*u**4 + 6*u**4 - u**4) - 3*u**5 + 7*u**5 - u**5.\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f - 2*y - 92, -5*f - 52*y = -47*y + 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 + 6 - 15 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbllbilibbbbbl. What is prob of picking 4 b?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.3 - 14.7. Let y = -68.00032 - m. What is y rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924b (base 14) to base 7.\nAnswer: 133224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 52 - 2 = 0. Let s = 59 - p. Solve 0*z - 5 = -s*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 704, 722, 750, 788, 836, 894?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*n, 3*u + 3*n - 249 = -165. Let w = -25 - -41. What is the smallest common multiple of w and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -0.088433.\nAnswer: -0.01149629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-four fifths of a tonne?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -1.4. What is the closest to 0 in b, 6, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -33 (b) -1.7 (c) -28 (d) 795\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 16*p + 17. Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11 (b) -4\/5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 3. Let z be h(-6). Suppose -2*g = -g + z. Which is the second biggest value? (a) g (b) 0.4 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-54) + (-6)\/(-4). Find the second derivative of -209*h**2 + 11*h + h + 188*h**t wrt h.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 - (-67 - -256) - (0 + -1 - 8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*2.8016\nAnswer: 0.56032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1892714115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {s: 4, t: 4, q: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t**4 + 25*t**3 + 13*t**2 + 2*t = 0.\nAnswer: -1, -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*p - 1929, -8643 = 5*i - 3*p + 1112. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/12*(-6)\/(-10). Sort r, -9, -4\/7, 2 in ascending order.\nAnswer: -9, -4\/7, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.17759km to nanometers.\nAnswer: 5177590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 5*z - 926 + 898, -4*z = -4*a - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 426\/15*(-825)\/(-30). Factor -2*d**4 - d**3 + 4*d**3 - u*d**5 + 780*d**5.\nAnswer: -d**3*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25504751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - 34\/(-10). Suppose p*w = -5*k + 370, -3*w + 352 = -k + 12. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5953 + 5953.1. Which is the nearest to -2? (a) -6 (b) k (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*t + 1761*t**3 + 1 - 5*t**4 + 0 + 1779*t**3 - 3539*t**3 as c*t**4 + r + v*t**3 + h*t**2 + b*t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*g**3 - 6*g**2 - 7655*g wrt g.\nAnswer: 1194*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b**2 + 4*b + 3. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 24*s + 37. Is o(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51.37605g?\nAnswer: 51376050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 - 2*z + 6. Suppose -28*h = -11*h - 51. Let q(a) = a**3 - a**2 - 4*a - 6. Let v be q(h). What is o(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5809489ug in kilograms?\nAnswer: 0.0000000005809489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.488 + -0.088. Let v = 1.4 - n. Suppose -4*k - 5*o + 14 = 0, 0*k - 2*o + 2 = -2*k. Which is the closest to v? (a) 0.13 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 834106366 to the nearest one million.\nAnswer: 834000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.9. What is the closest to 0.1 in -0.2, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6 - 379999*b**2 + b + 3 - 2 + 3. Let c be n(-2). What is c rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i + 55*i = 0. Factor i*y - 3\/4*y**2 + 3.\nAnswer: -3*(y - 2)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 6*g - 61. Let s(j) = -8*j**2 + 11*j - 123. What is -11*l(a) + 6*s(a)?\nAnswer: -4*a**2 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 4. Let s be j(-3). Let h(t) = -8*t**2 + 267*t + 170. Let b be h(34). Calculate the common denominator of 99\/2 and (-2)\/s + (b - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31411003 + 22402?\nAnswer: -31333101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 116401507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 680093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1593, -1141, -689?\n\"Answer: 452*f - 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*y = -121*y - 22*y + 3*y + 732 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 - 6516835*m\/8 - 29325717\/4.\nAnswer: -(m + 9)*(m + 6516826)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*i**3 + 705*i**3 + 2643*i**3 + 2327*i**3.\nAnswer: 6063*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -28*n**2 - 13. Let x(b) = 14*b**2 + 7. Let s(w) = -6*j(w) - 11*x(w). Let c = -3 + 2. What are the prime factors of s(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.059 - 25.059. Let s = c - -24.89. Let z = s + 0.11038. Round z to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 207*z**2 + 264*z - 2219. What is j(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*s - 870 - 1578. What is the smallest common multiple of 1 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995748342?\nAnswer: 2, 7, 1747, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -68*t - 136. Give v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 7 - -27 - 65 - -15.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/((-14)\/70*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(2\/7))**26\/(u*u**(-1\/6)*u)**(-1\/64) assuming u is positive.\nAnswer: u**(189773\/2688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4 - 5 + 3 + 0 + (0 - 1 + 0)*(-3 + 7 - 3) + (-3 - 4 + 5)*(-4 + 2 + 0) + (1 - 3 - 2)*(2 + 5 - 6))*(12*g**2 - 98*g**2 + 5*g**2).\nAnswer: 405*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -322, 0.3, -3?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**4 - 244104 + 243764 - p**4 + 15*p with respect to p.\nAnswer: -8*p**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115002241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 - -0.4. Is y greater than or equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.77 - 1.91. Round f to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38155 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: Suppose -4*n - 4*f = 60, n + 5 = -2*n + 5*f. Let t be (n\/(-3))\/(40\/15). Do 0.2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 12*a - 24. Let h(s) = -2*s**2 - 8*s + 16. Suppose -4*c - 5*j - 40 = -j, -4*c + j = 30. Let d(n) = c*h(n) - 5*g(n). Calculate d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -29*u - 2. Let q be t(-1). Let w = 111\/4 - q. What is the closest to -3 in -2\/11, -0.1, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 177717051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211688, 423407, 635184, 847049, 1059032?\nAnswer: 1271163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 11 + 3*c - 4*c. Let w(a) be the second derivative of -a**5\/20 - 3*a**4\/4 - a**3\/3 - 6*a**2 - 7*a. Let k be w(-9). Give s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + -5.88. Let b be 6\/(-4 + -18 + 46). Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/2)*x)*x**9)\/(x**8*x**13) assuming x is positive.\nAnswer: x**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -12. Let r = 2 - a. Solve 2*h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1957277 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*g = -2*g + 40, b - 4*g = 25. Suppose b*w - 4*h - 65 = -0*h, 0 = 5*w + 3*h - 65. Is 11 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:58 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, 18 in descending order.\nAnswer: 18, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23479 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1271, 2650, 4019, 5372, 6703, 8006, 9275, 10504?\nAnswer: 11687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) -6.334 (b) 2\/19 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-2\/13))\/a)\/a*a*a)\/a**(-2\/9)*a\/(a\/(a*(a*a*a**5)\/a))*a**(-4\/3)*(a**(-1\/2))**0*(a\/(a\/a**(-1\/3))*a)\/a*a*a*a**(1\/3)*a*a assuming a is positive.\nAnswer: a**(1373\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101449\/21 + 30363\/7. Let w = x + 485. What is the common denominator of w and 13\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 - -1.72. Let q = 38.4 + -55.4. Which is the second smallest value? (a) q (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750 and 67250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*(sqrt(304) + 0)*-5 + 4)*-1)**2.\nAnswer: 800*sqrt(19) + 190016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5637 and 6.3.\nAnswer: 35513.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 330728 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oao when three letters picked without replacement from {a: 1, o: 2, e: 1, d: 2, r: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, h: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 85*i - 2. Is c(1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33232 (base 13) to base 12\nAnswer: -45751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 0.2863?\nAnswer: 4.2945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 207418466 + 1?\nAnswer: 207418467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 103*z + 729. What is the least common multiple of i(-7) and 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejese. What is prob of sequence see?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 5:22 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -18, -1\/5, 10, -5 in increasing order.\nAnswer: -18, -5, -0.5, -1\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.6179, 0.4, 1\/30.\nAnswer: -17.6179, 1\/30, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 35. What is the first derivative of -3 + 0*g + 5*g - 5*g - 10*g**x wrt g?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6948212519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 471992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578 + 170 = -4*j. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**2 - 7*x**2)*(-1 - 2*x + 1) - 2*x**3 - 3*x + 3*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -1. Let n(y) = 7*y - 13 - 4*y + 10 - y + 4*y**2. What is the units digit of n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**0\/o))\/o)**(-2\/45)*(o*o*o**(-5))\/(o*o\/o**(-1)))\/(o**(-3\/5)*o\/(o*o\/(o\/o**(-3\/4))))**47 assuming o is positive.\nAnswer: o**(-2357\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1267*n**2*u - 7*n**2*z**2 + 4*n*z**2 + 364*n*z - 2*u wrt n.\nAnswer: 2534*u - 14*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 2*a, 0*y = 4*y + 16. Solve -1 = a*g - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -88, -85, -82, -79, -76?\n\"Answer: 3*w - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -55*y**2 - 1. What is q(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 1 - 1)*(-42 + 53 + 56) + 5 + 0*a + 8*a - 7 to n*a + v and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -15a144?\nAnswer: -15a147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 885 = -2*p - 437, 5*p = x - 653. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 2*r + 0*r**2 + 0*r**3 - 3 - 61\/12*r**4. Let w(c) = c**2. Give t(w(i)).\nAnswer: -61*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -9395894.\nAnswer: 28187682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**5 + 8*x**4 - 197*x**2 + 179*x + 272 wrt x?\nAnswer: -20*x**3 + 96*x**2 - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -198, -526, -994, -1608, -2374, -3298?\nAnswer: -4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = b + 5, -3*y = 5*b + 2*y - 35. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148 - -3?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*p - 179*p + 174*p to the form i + m*p and give m.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 61. Suppose -g*f + f = -60. Let p be (-1)\/6 - f\/(-15). Which is smaller: 1\/7 or p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -447*u + 221*u + 227*u. Let d(t) = t**2 - t - 1. Let q(p) = -16*p**2 + 9*p + 9. Let w(k) = 36*d(k) + 4*q(k). Determine n(w(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -6975 in descending order.\nAnswer: 5, 2, -6975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -484.9 to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n - 172. Determine y(19).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-1))\/(-9))\/(72\/(-864))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/55 and -29\/5203.\nAnswer: 26015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 17*b**2 - 3*b + 43. Let p be m(-8). Let c = -4 - -10. Put c, p, 0 in descending order.\nAnswer: c, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1600\/8679 - -2\/789. Is a greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 7*y + 34. Give j(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15\/2 (b) -4 (c) 6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -199 - -293. Let h(m) = -3*m + n*m**2 - 5 + 7 + 2*m - 3. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/212 or 0.3?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 100, 102, 102, 100, 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24032132 (base 5) in base 12?\nAnswer: -a7a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.279 - 0.48. Let i = 0.171 + v. Which is the smallest value? (a) i (b) 0.4 (c) 5 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1035*m**3 + 700050*m**2 - 932020*m + 310520.\nAnswer: -5*(3*m - 2)**2*(23*m - 15526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 + -3 + -4 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34917133514 take away 78?\nAnswer: -34917133592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24839 = -4*t + 23*z - 22*z, 4*t - 24842 = 2*z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/4, 0.5, -1, 39.\nAnswer: -21\/4, -1, 0.5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 4 + -14 + 1 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 84*y**2 + 7 - 161*y**2 + 8*y + 79*y**2. What is the units digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/9 (b) -0.037 (c) 0.35 (d) -0.5 (e) 186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 7*d = 32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3)*4*9\/(-18))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -2\/25, -0.3, 145, -2.\nAnswer: -2, -0.3, -2\/25, 0, 12, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(sqrt(17) + 1 + 0 + 3*(sqrt(17) + sqrt(51)\/sqrt(3)) + sqrt(17) + (sqrt(425) + -1)*-2 + sqrt(425)))**2.\nAnswer: 576*sqrt(17) + 5764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 3*p - 1. Let z(s) = s**2 - 385 + 387 - 7*s - 4*s**2. What is 5*d(u) + 2*z(u)?\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143817 is divided by 705.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.38663 and -0.125.\nAnswer: 0.26163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = 6*l - 13*l. Let f be (4 - l\/(-20)) + 1. Determine z so that -6\/5*z**2 - 3\/5*z**5 + 6\/5*z**4 + 0*z**3 + 0 + f*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 3:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 5\/(-3)*6\/4. What is the nearest to -3 in r, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 4. Let i(s) = 5*s + 12. Let z(m) = 2*m + 4. Let r(b) = -3*i(b) + 8*z(b). Let a(d) = -2*o(d) - 3*r(d). Let l be a(3). Are l and 4\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*s - 20, 2*s = -0*d - 3*d + 35. Let o = 143 - 96. Suppose o = 4*c - d. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:23 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 139674, 139676, 139678, 139680, 139682?\n\"Answer: 2*a + 139672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*y**2 + 399*y**2 - 770*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-2*(-2)\/(-28)*(-6)\/(-6)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 14*w + 183. Calculate c(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2. Let t(d) = 9*d + 110. Let z be t(-12). Let h(r) = -4*r + 389*r**2 + 4*r - 395*r**z. Give h(y(f)).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.475431 hours in nanoseconds?\nAnswer: 16111551600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -341*n + 595*n - 303*n - n - 5 + 5 - n - 2*n + 5*n + (2 - 4 + 0)*(-n - 3*n + 6*n) + 2*n - 7*n + 3*n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -23 - (-1 - -12)) + 30\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from izizziziziizzi?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = 45. Let o(y) = 15 - b + y**2. Let n(f) = 4*f. Calculate n(o(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:04 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/12)\/((-5)\/20)*228489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2565 is divided by 2529.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, m: 2, q: 2, t: 8, j: 2}. Give prob of picking 2 t.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 + 1337235*w - 1337238 = 0. Calculate w.\nAnswer: -445746, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/6)*n)\/((n\/n**(9\/4)*n)\/n))\/((n**(3\/4)*n)\/(n**35\/n)))**(-48) assuming n is positive.\nAnswer: n**(-1648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 8816.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -0*f. What is the common denominator of 1 and 0\/(-6) + (-2)\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*sqrt(80)*-1)**2.\nAnswer: 48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 greater than or equal to -117\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.1. Let w = 6172 - 141888\/23. Let u = -249\/92 + w. Sort 1, u, a, 5.\nAnswer: a, u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m - 27. Let i = m + 13. Suppose 0*y = i*y - 2*t - 186, 0 = -5*y - 5*t + 270. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + (7 + -5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1268\/3170*(15\/(-48))\/5?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/10 + -1\/5. Let j = -7 - -8. Let g = -0.13 - -0.23. What is the closest to y in 3, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*(f\/f**7)\/f)**27\/((f**(2\/3)*f*f)**(-14))**(-13\/6) assuming f is positive.\nAnswer: f**(-728\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -16099038 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 3100084?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(242) + -1))**2 + -5 + (1 + sqrt(242))**2)*2 + 5 + ((sqrt(120)\/(sqrt(10)*-1 - sqrt(10)))\/(sqrt(96) - -2*sqrt(96)))**2.\nAnswer: -1540*sqrt(2) + 5177377\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 304259 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 7*n**3 + 175*n**2 - 175*n**2 + 13*n**3 - 22*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 32\/188137 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g - 5. Suppose g*s - 19 = 5*d - 49, 5*d + 5*s + 10 = 0. Suppose -d*w = -0*w - 10. Solve -h = -w + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*j + 198*j + 76. Let b be 2 + (57\/j)\/(1\/8). Let m(p) = -p**3 - 6*p**2 + 5*p + 7. Let l be m(-6). Is b at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.91172522 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 - 2*l - 1. Let y be f(2). Let p be (-2 - -4)*(-5 - -7). What is the third derivative of -3*t**p - 2*t**4 - t**2 + y*t**4 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1570 + -1565. Suppose f - 3*f + r - 1 = 0, 3*f - 5*r = -19. Let d(t) = -10*t**f + 1 + 9*t**2 + 6*t - 4. Calculate d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*o*u**3 + 6789*o*u**2 + o*u - 4*o + 20564708 wrt u.\nAnswer: 510*o*u**2 + 13578*o*u + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1715\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380108, 1380119, 1380116, 1380093, 1380044, 1379963?\nAnswer: 1379844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -393088 divided by 4\nAnswer: -98272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > 558\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = -13728430 - 3758570. Round t to the nearest 10000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34 - (-1 - 1))*-1. Let d be (o\/(-30))\/((-4)\/70). Let p = -18 + d. What is the nearest to -2 in -0.5, 4, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 19*t - 59. Let w be z(15). Solve -3*n + i + w = -5, -5*n = -5*i - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.829418 nanograms to grams.\nAnswer: 0.000000009829418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 12*k + 31. Let y be b(9). Suppose 4*i - 8 = 2*i. Solve -2*p + y + 9 = -c, -16 = i*c + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsw when three letters picked without replacement from {o: 3, x: 3, s: 1, r: 2, w: 1, f: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -0.1 (c) 3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)*w*w**(-5)*w*(w**(1\/3))**(2\/43) assuming w is positive.\nAnswer: w**(-514\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 + 1716*w\/7 - 113920\/7.\nAnswer: (w - 64)*(w + 1780)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8716199.8 to the nearest one thousand.\nAnswer: -8716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(9842\/1554)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000798601 to six decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/63)\/(2\/(-12))*(-3080)\/160.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/100)\/(1\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*z = -97*z + 212*z - 14*l + 224, 5*l = -4*z - 244 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*p - 16, -2566*g + 2564*g + 16 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - 7\/(14\/6). Let o(d) = -5*d - 3 + 2 + 3*d**3 + 5*d**2 - 4. Let y(p) = -5*p**3 - 8*p**2 + 8*p + 8. Determine i*o(t) - 5*y(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 4*m - 2. Let j be x(4). Let k be (-4)\/(-1)*(-1)\/j. What is the tens digit of (2 + (-57)\/(-6))*k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r**3 + 5*r**2 - 418*r + 12. Let m(k) = 10*k**3 + 2*k**2 - 214*k + 5. Calculate 2*l(i) - 5*m(i).\nAnswer: -8*i**3 + 234*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-18)*w*w**(3\/11)*w)\/(w**(1\/4))**8 assuming w is positive.\nAnswer: w**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 12:21 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjjssjjssssssjjsss. What is prob of picking 2 j?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2822.3 + -2822.4. Let s = -3\/31 - 85\/403. Which is the closest to i? (a) 2\/11 (b) s (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o - 78. Give n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105*c + 1777 = 8797 + 715 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1556 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = -2, 5*k - 12 = -4*w. Solve k*t + 16 = -3*h + 7*h, h + 2*t = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38743 is divided by 523.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.654375 and -4.\nAnswer: -2.6175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3*b**5 + 164\/3*b**3 + 98\/3*b**4 + 0 + 16*b - 200\/3*b**2 = 0. Calculate b.\nAnswer: -2, 0, 2\/5, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 8*q - 44 + 28 + 24. Let b(t) = -11*t + 7. Let k(y) = -5*y + 3. Let i(z) = 4*b(z) - 9*k(z). Give a(j) - 10*i(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:29 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2172, -0.3.\nAnswer: -34, -0.3, 2172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10744*q + 21499. Give d(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 2*t - 24 = 0, 0 = -t. Calculate the lowest common multiple of 22 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213098 - 0.4.\nAnswer: -213098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -60. Does 17 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 15*t + 54. Let h be m(18). Suppose 4*g - 2*g - 314 = h. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*y + 34, 5*c - 403*y + 427*y - 202 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/30 - 31*i**4\/12 + 35*i**3\/3 + 47*i**2. Find the first derivative of w(d) wrt d.\nAnswer: 4*d - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*f + 31. Suppose 10*a - 1841 = f*a. List the prime factors of a.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 998, 45 in descending order.\nAnswer: 998, 45, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/90)\/((-1)\/(3\/2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238985759 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/560898 and 139\/174960?\nAnswer: 1817309520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/36684 and -127\/36.\nAnswer: 36684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9801015, 9801018, 9801021, 9801024, 9801027?\nAnswer: 9801030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301*s + 2327 = -14015 - 29193 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -7 + 15 + 0 - -6) + (60 - 80).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. What is the first derivative of -4*j**4 - 4*j - c + 4*j wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 14*g**2 + 547*g + 0*g**3 + g**3 - 546*g + 28*g**2 as v*g + u*g**2 + q*g**3 + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let m(h) = -h**2 - 5*h. Let r be m(-4). Suppose 0 = -t*z - 4*z - 3*x + 26, r*x = 8. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*p**4 - 109980*p**3\/7 + 26997144*p**2\/7 + 964324*p\/7.\nAnswer: 4*p*(p - 491)**2*(28*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b**2 + 23*b - 23*b)*(-2 + 7*b + 2) + 2*b**3 - b**3 - 4*b**3 - 2*b**3 - 2*b**3 + 3*b**3 in the form i*b**3 + o*b + c + s*b**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 32 = 13. Let d = -747473 - -747468. Which is the third smallest value? (a) y (b) -13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Suppose -2*x - x = 5*t - 9, 5*t + 3 = x. Suppose -4*q - 12 - 3 = -x*a, -q - 10 = -2*a. Let p(y) = q - 5*y - 2 + 2. What is b(p(h))?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 7*q**2 - 2*q - 7. Let b be a(6). Let y = -49 - b. Let o = -8 + 36. What is the remainder when o is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 1)*(2 + 0 + 0)*(5635 - 5635 + 182*l**4) to the form g*l**3 + c*l + d*l**4 + b*l**2 + p and give d.\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/476*(-3)\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/(-11) - 12\/(-330)*5. Suppose i = 3*x + 188, h*x = -i + 7*x + 188. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 13, -17, -9.\nAnswer: -17, -15, -9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 2*a**4 + 2*a + (-4*a**3 + 5*a**3 - 2*a**3)*(2*a + a - a) - 2 + 2 - 2*a**4 + (9 - 2 - 3)*(-38*a - 44*a + 54*a)*(-4*a**3 + 2*a**3 + a**3).\nAnswer: 106*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16344*y**3 - 23666*y**2?\nAnswer: -98064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120311 + 23?\nAnswer: -120255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 z when four letters picked without replacement from {z: 7, x: 2, d: 5}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51974258*q**3 + 60*q**2 + q + 38228?\nAnswer: 311845548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*m = 62, -4*m + 7 = 3*x - 40. Let d(q) = 8 - 9 + 22*q - x*q + q**2. Determine d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**5 - 9*j**3 - j**2 + 9. Let g(o) = -o**5 - 4*o**3 + 4. Let n(x) = -9*g(x) + 4*p(x). Find the third derivative of n(u) wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/7 - 13*h**2\/7 + 29*h\/7 - 15\/7 = 0. What is h?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 564629139*x**3 + 4*x**2 - 104742*x - 1 wrt x?\nAnswer: 3387774834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o. Let r be a(-5). Let l = -7 + r. Suppose -12 = -c + l. Calculate the remainder when 58 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(102)*3 - -1*2*sqrt(102)))\/((sqrt(1944) - (sqrt(1944) - (sqrt(1944) + -1*sqrt(1944) + sqrt(1944) + sqrt(1944))))\/(sqrt(36)*-1)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -168, -235, -270, -261, -196?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185553316*g*x**2 - 53*g*x - 41*g + 223*x wrt x.\nAnswer: -371106632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + w**2 + 8*w**3 + 3*w**2 + 6*w**3 - 7*w + 2. Let p(h) = 10*h - 28. Let b be p(3). What is the tens digit of u(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 56. Suppose 10 = z*d - 4*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 27.2, 3\/7, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -19. Suppose -3*h - 44 = -5*y + 16, 3*y - 2*h - v = 0. Let x = 922 - 891. Calculate the remainder when x is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*s - 4*w, 5*s - 3*w - 2*w = 25. Suppose s*x - x - 28194 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) -0.05 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i - 3. Let c(p) = 2*p - 7*p + 1 + p. Let x(s) = 22*c(s) + 6*w(s). Give x(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 57 - 19. Suppose 5*z = 2*i + 31, 4*z - i = -6*i + b. Let v = 34 - z. Calculate the remainder when 106 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, d: 3}. Give prob of picking 2 d and 1 b.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p. Suppose p*k + c - 1 = -2*k, k - 5 = -5*c. Solve -2*s - 4*w - 8 = 0, k - 4 = -4*s - 3*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 845*l - 28222 - 24168. Let n = -529 + 774. What is the remainder when n is divided by l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18699185, 18699183, 18699183, 18699185?\nAnswer: 18699189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:09 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 5:57 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2802000 and 1494400.\nAnswer: 22416000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.732 less than 34970145?\nAnswer: 34969652.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 42, 97, 174, 273?\n\"Answer: 11*n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.043 in 7.86, 3\/11, -2\/7, 3\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 3*x - 4. Let p = -47 - -48. Let g be b(p). Solve g = -s - 0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -30. Put 1, 4, q, 3 in ascending order.\nAnswer: q, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 41. Let a be (-4)\/t + 64\/36. Find the third derivative of -2 - 88*r**5 - 10*r**2 + 71*r**5 + a wrt r.\nAnswer: -1020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 4) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 35 = 4*x - 0*x, -3*x = h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1573037 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -o + 23. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*s + 232 = -833*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -264363.91\nAnswer: 21149.1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -108, -159, -210, -261?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - 7*r**4 + 36*r**4)*(-4*r + 3*r + 2*r) - r**2 - 2*r**5 + 5*r**2 - 2*r**2.\nAnswer: 28*r**5 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 36. Let q be w(17). Sort q, -2, -1\/5, -0.29.\nAnswer: -2, -0.29, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -9*n + 182. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -189404*g + 1. Let y(m) = m**2. Give h(y(b)).\nAnswer: -189404*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 167*j - 236. Let h be x(-82). Which is smaller: h or 213\/20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1120100220000?\nAnswer: 1120100212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*z - 32, 0 = -2*p + 4*z + 20 + 8. Suppose 0 = 5*c - 4 - p. Solve -c*k + 21 = 3*v + 2, -4*k = -3*v - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-12))\/b)\/(b\/b**0*b))**50 assuming b is positive.\nAnswer: b**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 18, 25, 34, 45, 58?\n\"Answer: n**2 + 2*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/32)\/((-4488)\/704)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-23 - 4) + -4. Let w = 54 + r. Let n(a) = -11 - 2*a + w - 7. Determine n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.299 + 0.0752.\nAnswer: 0.3742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/540 - 4\/54?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/16*-4*4 - -171.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*m - 7 - 87 = 0, 5*m + 43 = 2*j. Solve 0 = 28*f - 16*f + j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) -2.7 (c) 4 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Suppose 0 = -l*x + 5*c + 143, 7*x = 11*x + 5*c - 214. What is the highest common factor of 969 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -7*o + 36. Let v(p) = 28 - o*p + 28 - 59 + p**2. Suppose 3*h - 12 - 3 = 0. What is v(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-10)\/(-8)) + 618\/6. Let i = a + -104. Put 0.1, 3\/2, i in decreasing order.\nAnswer: 3\/2, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (446*z**3 + 871*z**2 - 871*z**2)*(14 - 7 + 14) in the form s*z**3 + h*z + n*z**2 + j and give s.\nAnswer: 9366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*9\/(-8)*64\/(-56)*-14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -93592153+9\nAnswer: -93592144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153395261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3074*k - 3070*k = 104. What is the remainder when k is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 877\/2 + -423. Calculate the common denominator of d and -1\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2661*s**2 + 0 - 1336*s**2 - 1327*s**2 + 1 - 10 + 24*s to the form g*s**2 + k + i*s and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80781.14 kilometers in millimeters?\nAnswer: 80781140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.81626 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-4)*h)*h*h\/(h\/(h*h**(-1\/23)))*(h\/(h**(1\/5)*h)*h)**12)**(-28) assuming h is positive.\nAnswer: h**(-50092\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-2*((sqrt(30) - (sqrt(30) - (sqrt(30) + sqrt(30)*-1)))*-1 + sqrt(30) - sqrt(30)))\/(5*(sqrt(6) + sqrt(96)*3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/4 - 11*b**4\/4 - 33*b**3\/4 - 37*b**2\/4 - 7*b\/2 = 0.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11622 and 1225227.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 69\/9 - (24\/9 - 1). What is the smallest value in 0.82, 3, -1\/4, l, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*b + 10 = 0, 2*n + 24 = 6*n - 4*b. Suppose -n*o + 80 = -2*f, -3*f + 114 = 2*o + o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yny?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 183.43 + -1.7.\nAnswer: 181.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*g - 4, 315*g = 316*g - 2*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5*l**7\/42 - 8*l**6\/5 + 32*l**3\/3 - 15*l**2\/2 - 9*l + 70. What is the second derivative of a(p) wrt p?\nAnswer: 100*p**3 - 576*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377008 is divided by 22096.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 32 = -9*o. Calculate the remainder when 73 is divided by o\/(-56)*(132 - -1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14820, -60673, -137550, -245445, -384352, -554265, -755178, -987085?\nAnswer: -1249980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96830 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9\/7, 0.01, 3\/4 in decreasing order.\nAnswer: 9\/7, 3\/4, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130782851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -277*v**2 + 222*v - 172165?\nAnswer: -554*v + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-91)\/(-52)*4 + -3. Let z(r) be the second derivative of 0 + 1\/105*r**7 + 4\/15*r**k + 6\/25*r**5 + 2\/25*r**6 + 0*r**3 + 0*r**2 + 2*r. Factor z(n).\nAnswer: 2*n**2*(n + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*n = 232*n - 539*n + 151*n + 3318 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(90\/990).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29142 - 29137.5. Are a and 192 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5013 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.257 - 0.039. Let b = -0.006 - g. Let n = 0.59 - b. What is the nearest to n in 0, 3\/7, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5 - 3876*z**4 - 1602330*z**3 - 210361044*z**2 - 1766266587*z = 0. Calculate z.\nAnswer: -521, -241, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 11943 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p + 32. What is b(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1880*v + 1876*v = -r - 25, -4*r + 3*v - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/385*(-7)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*r + 126 - 126)*(6*r**2 - r**2 - r**2)*(4 - 2*r - 4) to the form w*r**3 + a*r + h + j*r**4 + y*r**2 and give j.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*x + 2*x - 9, 0 = 3*x + 6. Suppose 2*k = k + 3*h + 378, 0 = -2*k - c*h + 774. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44018239352 and -0.5?\nAnswer: 44018239352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 16 - 6. Let l = -14.714 - -15.214. Sort -0.01, m, l.\nAnswer: -0.01, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 67676.201.\nAnswer: 67677.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32717 + 32785. Calculate the remainder when 7476 is divided by p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -42, -37?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 - 2*j**3 + 2*j**2)*(0*j - j - 6 - 20) in the form m*j**3 + u*j + f*j**2 + t*j**4 + k and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248515*i**5 - 350855*i**2.\nAnswer: -14910900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(133) + sqrt(133) + (-2*(sqrt(133) + -3*sqrt(133)) - sqrt(133)))\/(sqrt(5103)\/sqrt(9)))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and -46430?\nAnswer: -1114.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-3 - -1) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21131216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-10) + (4 - 1). Suppose 0 = 2*b + 3*p, -8*p = 2*b - 6*p - s. Solve -4*w + 14 = -2*j, w + 5*j = -b*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25242.9 + 24083. Round n to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - 0.06. Let g = 344 + -247. Let n = -96.6 + g. Which is the third smallest value? (a) 2 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518856 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1926?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33468 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 7)*(14*j**2 - 6*j**2 + 11*j**2) + 3*j**2 + 7*j**2 + 3*j**2 to r + k*j + i*j**2 and give i.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3*(-1)\/24). Suppose -10*h = -j*h - 4. Let n(u) = -3*u - 3. Let a(c) be the second derivative of -2*c**3\/3 - 2*c**2 - 2*c. What is h*a(k) - 3*n(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 + 126 - 11*h**3 + h + 2*h in the form a*h**3 + y + o*h**2 + r*h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -28. Let z(a) = a**3 - 9*a**2 + 17. Let u be z(d). Suppose -4*q + x + u = 33, -2*q = 3*x - 56. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47559027 to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -750*c**4 - 2 - 749*c**4 - 860*c**2 + 11*c**3 + 1501*c**4 + 837*c**2 in the form n*c**2 + i*c**3 + a + p*c**4 + t*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18864 is divided by 624.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 22. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(242) + (-3*(sqrt(242) - (1*sqrt(242) + sqrt(242))) - sqrt(242)))**2.\nAnswer: 198*sqrt(2) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2679 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9083 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 5*u - 63. Let m(k) = 11*k**2 + 18*k - 188. What is -14*l(p) + 4*m(p)?\nAnswer: 2*p**2 + 2*p + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118764368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 192*i**2 + 2100*i - 5000.\nAnswer: 4*(i - 2)*(i + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -76833*c**3 + 2*c + 1. Let g be r(-1). Let n = -538722\/7 + g. Let z = -128 - n. Is z less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*i + 27*i - 4*i in the form t*i + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*p - 3*p, 4*i - 2*p = 370. What is the remainder when i is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14011165 + 17389.\nAnswer: 14028554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 + 19954.21248.\nAnswer: 19954.37248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-8)\/2) + 2\/(-56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 8*a + 3. Let k be y(-8). Suppose k*z - 5*u + 0 = -8, 2*z = 2*u. Find the first derivative of 0 + b**4 + 0*b**z - 1 wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k - 2*k - 4*j, -4*k + 4*j = -32. Let y = -5 - -8. Find the third derivative of -y*w**4 + 5*w**2 + w**k - 3*w**2 wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, j: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/16 and -13\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osop when four letters picked without replacement from psyotstsssoo.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**2 + 4\/3 + 2*t.\nAnswer: 2*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r - 11 = 0. Let b = 53 + r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 51317?\nAnswer: -51323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -138, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733, 8442, 29385, 70180, 137445, 237798?\nAnswer: 377857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 688 + 19. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = 4*v. Suppose 0 = v*t - 2*z - 26, -4*t = -0*t + z - 13. Is (-3052)\/(-16) + 1\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5828 and -1593249202?\nAnswer: 1593243374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14142763267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 6*g + 16*g**3 + 38*g - 32*g.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -100100?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + 80. Let d = u - 117. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 24*y**2 - 177*y + 179*y)*(-3 + 0 + 0)*(-1 - 1 - 9).\nAnswer: 792*y**2 + 66*y - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 42576 = 3*v, -3*f - f + 42577 = 3*v. Let b = v + -7722. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1199, 1188, 1169, 1142, 1107?\n\"Answer: -4*y**2 + y + 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Suppose 5*n - 90 = -5*v, -k*n + v = 2*v - 110. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -7) + -17 + -14 + 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 19, g: 1}. What is prob of picking 3 m?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 w, and 1 j when three letters picked without replacement from {j: 8, w: 7, i: 1, z: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23290, -46579, -69870, -93163?\nAnswer: -116458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1186 + -826. Let s = 471 - q. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5664 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 37 (c) -4\/11 (d) -40 (e) 1\/6 (f) 0.248\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065868 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -785526 by -9.\nAnswer: 261842\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30212.3 and -65486.\nAnswer: -95698.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 77+29601\nAnswer: 29678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - 140 - 2*b + 72 - 5*b**2 - 34 + 34 - 45*b**2 + (b - 4*b + 2*b)*(-b - 1 + 1) to x + t*b**2 + r*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5*u - 4. Give y(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 13136?\nAnswer: -13146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.1. Let p(w) = -5*w**3 + 2*w**2 - 1. Let v be p(1). Which is the second biggest value? (a) v (b) z (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a3 (base 13) to base 15\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -944 by -1.\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -18 + -48 - 37) + 0 + 9 + -1?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2 - 130c2?\nAnswer: -12fe0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*z = 13997 + 4248, -z = -5*c + 18230. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*c - 2*i, -5*c = 7*i - 3*i - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 - 18*h**4 - 332017*h**3 + 55*h**2 + 37696*h wrt h.\nAnswer: 120*h**2 - 432*h - 1992102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -18*m**3 - 4*m**2 - 5*m - 2. Let i(z) = 36*z**3 + 7*z**2 + 9*z + 4. Calculate -4*i(u) - 7*n(u).\nAnswer: -18*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 280, 1668, 4034, 7378?\n\"Answer: 489*q**2 - 79*q - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-108))\/(2\/(-12)*-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3515*m + 12 = -3521*m, l - 23 = 5*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l - 79*l - 48 = 0. Let u be (1 - l) + 0\/3. Let m be u\/680 - (-6)\/16. Which is the third smallest value? (a) m (b) -5 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188069?\nAnswer: 3, 239, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -89. Let f = -69 + 343\/5. Which is the nearest to 1\/3? (a) z (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 398.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 + 5*u**2 - 5*u - 4. Let k(b) = -9*b**3 - 14*b**2 + 14*b + 11. Let n(v) = 11*j(v) + 4*k(v). Determine n(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*4)\/((-18)\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 24289042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -16.15. What is the smallest value in -1\/5, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from ibhhzrf.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -142, -231, -326, -427, -534, -647?\n\"Answer: -3*u**2 - 74*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -256, 1, 3, -129.\nAnswer: -256, -129, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4713 divided by 6.\nAnswer: -1571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 573617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 270*f**2 - 1551*f + 5. Let d(c) = 2*c**3 + 271*c**2 - 1546*c + 4. Let y(g) = 4*b(g) - 5*d(g). What is the second derivative of y(a) wrt a?\nAnswer: -12*a - 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15381, 30762, 46143, 61524, 76905?\nAnswer: 92286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 2\/3, 3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34712 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12364 = 19*d - 58411. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(((r*r**(-5))\/r)\/r)*r)))\/r**6*r**(1\/8)*(r*r\/r**(-7))\/r)\/(r**(-4\/5)\/r*r\/((r**(-2\/11)*r)\/r*r))**23 assuming r is positive.\nAnswer: r**(20831\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, 0 in decreasing order.\nAnswer: 14, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1481 (base 11) to base 3.\nAnswer: -2121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-1)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3432 and 31\/46.\nAnswer: 78936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119*g**3 + 154*g**2 wrt g?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2933, 7642, 12385, 17162, 21973, 26818, 31697?\nAnswer: 36610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**13)\/((b**39\/b)\/b))\/(b\/(b\/(b*b**(-1\/9))*b)*b)**(-37) assuming b is positive.\nAnswer: b**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4572 - 0.4515. Do 0.2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*((j*(j*j**(-2\/9))\/j)\/j)\/j)\/(j*j*j*j**0*j)**(11\/4))**(-34) assuming j is positive.\nAnswer: j**(2210\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1252988 (base 10) to base 9.\nAnswer: -2318688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 564695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-5)*(-3)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 6*z - 237. Calculate r(0).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9063790*n**4*x - 2*n**4 + 25*x - 29884 wrt n.\nAnswer: -36255160*n**3*x - 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - x**4 - 27*x**2 + 1 + 0 - 4*x**3 - 26*x**2 + 55*x**2 - 10*x to the form k*x**2 + z*x**3 + m*x + t + f*x**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 24. Let m be c(-5). Let h be (36\/16)\/(m\/24). Calculate the highest common divisor of h and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50353*2\/16 - (-4)\/(-32) a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 2, y: 4, m: 1, b: 1}. What is prob of picking 1 m, 1 z, 1 y, and 1 b?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let s(u) be the second derivative of -13*u**4\/12 - 12*u. Determine k(s(c)).\nAnswer: -338*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*c**3 + 436*c**3 + 152*c**3 - 1761*c**3 + 272*c**3.\nAnswer: -444*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 4. Let h(c) = 3*c - 13. Let p(z) = -6*h(z) + 17*l(z). Let a be p(-6). Suppose -a = w - 17. Which is smaller: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimmgmmiai. Give prob of picking 1 i, 1 a, and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 + -21 + -110 + -1 + -1 + 4 + 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 99*n**3 - 67*n**3 + 0*n**2 + 170*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:24 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*t + 4. Let u be 9\/6*(1 - (-88)\/(-72)). What is the nearest to u in t, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6685 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1152.00003908 + -1152. What is o rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/11 and 1.259 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -637.938 - -637. Let s = g - -1.51. Let d = s - 0.072. What is the closest to 2\/3 in d, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 19*v + 1124. Determine c(25).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:55 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 9292.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063556644 rounded to the nearest 1000000?\nAnswer: -4064000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/26 (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4084109 or -4084107?\nAnswer: -4084107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 2*u + 33. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 77, -0.2, -3, 2\/1103?\nAnswer: 2\/1103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*h + 4*h + 2 + 3*h)*(7*h + h + 7*h)*(2 + 1 - 6) in the form z + c*h**2 + q*h and give c.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2276 divided by -6.\nAnswer: 1138\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*1898.\nAnswer: -28470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6507.2 + 6507. What is the biggest value in 0.73, a, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 18. Suppose 0 = 4*z - 2*z - 3*a - w, -z + 5*a + 12 = 0. Calculate the common denominator of 1\/(3\/((-33)\/z)) and -11\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.750465 and 0.142.\nAnswer: 10.892465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 69\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 + 4*r + 5. Let j be i(-2). What is the second derivative of -h + j*h**4 + 55*h**3 - 55*h**3 wrt h?\nAnswer: 204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1512 and 18368?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - 2*a**2 - 2*a**2)*(744*a + 320*a + 1629*a) + (-a + 0*a - a)*(2 - 3 + 0)*(0*a + 2*a - 3*a)*(-a - 2 + 2).\nAnswer: 5388*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -640 and -637 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 17*n - 11. Let z be k(2). Solve 12 = -4*m + 2*u, -z*m = -17*m + 3*u + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.07 - -14. Let u = 0.23 - j. Let p(s) = s**3 + 4*s**2 + 4*s + 4. Let r be p(-3). Which is the nearest to r? (a) 1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 9. Let s = i - -1. Let z = -6 + s. Solve 4*r + q + 2*q + 9 = 0, -z = -4*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20430, 20423, 20412, 20397, 20378, 20355?\nAnswer: 20328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3 + -2*165\/(-6). Is -4*(-7)\/(147\/b)*7 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 2*l + 5. Let z(a) = 2*a + 5. Let b be z(-6). Let o = b - -9. Let p(y) = 4 + 0*y + 0*y**2 + 0*y - 2*y + 3*y**o. What is 5*p(q) - 4*u(q)?\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 64*p**3 - 78*p**3 - 32*p + 62*p + 143*p**3 - 30*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 - d - 7. Let n be z(-5). Suppose -176*r = -n*r - 15. Solve -r = g + 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 6783?\nAnswer: -6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 795651, 1591300, 2386947, 3182592?\n\"Answer: -m**2 + 795652*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -692*x + 694*x - 10. Calculate the greatest common factor of 80 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -226 - -204 - (-3 + -30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 23. Solve 2*t = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5403.535 millilitres?\nAnswer: 5.403535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 184*i + 187*i - 368*i - 2.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397284 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 - 10*i**3\/3 - 9*i**2\/2 - 7*i - 13. Let g be w(11). Let d = -11 + g. Solve -s - s - 10 = -2*x, -4*x = d*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7924?\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33654\/20)\/(-1) - 3\/(-15). Let t = 1643 + c. What is the common denominator of -99\/16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305163.\nAnswer: 3, 41, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 308240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - -0.8. Let n = 0.5 - -2.5. Let d = -5 + n. What is the nearest to r in -0.1, d, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131760 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14012 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/35*1*(-28)\/20. What is the smallest value in a, 1\/4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 - 5543904371\nAnswer: -5543904370.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/567 and -9\/4.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 9*z - 1259. What is the remainder when z is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggimqd. What is prob of picking 1 i and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77433?\nAnswer: 3, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243.64315 rounded to the nearest 10?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125*v + 4509*v - 1124*v - 1128*v - 1139*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 + -112200001201?\nAnswer: -112200010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/7, 9\/5, -0.3 in increasing order.\nAnswer: -0.3, -2\/7, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(2800) + 0) - sqrt(2800) - (sqrt(2800) + sqrt(2800) + 0)*4)*-3)**2.\nAnswer: 907200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u - u**2 + 11*u + 10*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + (sqrt(19) - ((sqrt(190) - (sqrt(190) + ((sqrt(190) - -2*sqrt(190)) + sqrt(190) - sqrt(190))) - sqrt(190))\/sqrt(10) - sqrt(19))))**2*-1.\nAnswer: 5586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230 and 560?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7051.\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g = -10535 + 10135 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*w - 300. Suppose -d = -3*g - w, d = -3*g + 24 + 50. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -w. Let c = 17 - w. What is the first derivative of 6*y + 7*y - c*y - 8 - y wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -354*w**4 + 639.\nAnswer: -1416*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebtttebtee. What is prob of sequence eetb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2 - 448*q + 446 = 0.\nAnswer: 1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**7\/70 - 3*i**6\/40 - 5*i**5\/4 + 75*i**4\/8 + 612*i**2 - 5. Determine w, given that f(w) = 0.\nAnswer: -5, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 1. Let d be y(1). Let g = d - -6. Let z(f) = 2 + 2 - g*f + 5*f. Calculate z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94714 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 * -307.62.\nAnswer: -59985.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 324160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppj when three letters picked without replacement from zppzpmpzjpzppjpp.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 - -190.133. What is s rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 3*c - 23. Let b be z(-7). Let f be 102\/((-10)\/4 - -4). Suppose b = 4*g - f. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 128*p - 3. Let j be u(5). Let h = -186 + j. What are the prime factors of h?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c - 15 = -3*n, -3*n + 6 = 0. Sort -4, c, -10 in descending order.\nAnswer: c, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*q + 130*q + 77*q - 36*q as k*q + n and give k.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let t = a + -2.2. Let u = t - -0.3. Is u != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + r + (1 - 4 + 1)*(1 - 1 - 2*r))*((r + 0*r + 0*r)*(2 + 2 + 0) + (-3 + 1 + 1)*(2 - 2*r - 2)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2664593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 5 + 23 + 7*b - 23 - 4*b + 22.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - -14.4. Let l = 21 - t. Which is the third biggest value? (a) -1 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402121 (base 5) to base 14\nAnswer: 4934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*r + 2*r - 75, -2*r = -4*l. Let v(w) = w**2 - 4*w - 8. Calculate the smallest common multiple of v(6) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by -25*3\/(-15)*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-3)\/(-6))\/(-1))\/((-7)\/252). Let l = h + -13. Suppose -7*o - 90 = -9*o. Calculate the greatest common divisor of l and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1382, -3, -1, 534?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 12, -37, 37, 1 in increasing order.\nAnswer: -37, -33, 1, 12, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-202)\/(-22725)*90*22\/(-4)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 8*l**3 - 2 + 2 + l - 2 - l**4 + 1 in the form d + n*l**2 + f*l + a*l**3 + q*l**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g + 12*g + 22 - 25*g)*(2 - 6 + 3)*(4 - 1 - 4 + (1 + 1 + 0)*(-2 + 1 - 1)).\nAnswer: 10*g + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -238*x + 241*x. Let i = -12 + 12.5. Which is the second smallest value? (a) 0.01 (b) i (c) -0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c + 6. Let w be q(10). Suppose 4*s + w = 214. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -1)*-1*(-1)\/4. Suppose y - 2*y = t. Solve y = 2*j - 3 + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 87045 and 2.\nAnswer: 87047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {q: 4, a: 1, x: 1, d: 2, k: 3, j: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 18 = 3*b, 110*b = 114*b + 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6706*q - 5167*q + 3095*q + 14430*q + (-2 + 1 + 0)*(q - q - 2*q) to l*q + c and give l.\nAnswer: 19066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 1\/4, -2\/9, 5\/14, 46\/7?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(0 + 1 - 3)*(0 + 3 + 1)*(-3 - y + 3).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/8*62\/(-465). Let f be (33\/(-11))\/(21\/28). What is the second biggest value in q, f, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 7*u - 3. Let j(h) = 8*h**2 + 26*h - 10. Let y(w) = -3*j(w) + 11*s(w). Suppose -2*k + 0*n + 3*n = 0, 22 = 4*k + 5*n. Determine y(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 662*m - 3137. Let y(b) = -5*b. Calculate y(j(n)).\nAnswer: -10*n**2 + 3310*n + 15685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110000011000000001 - -1?\nAnswer: -100110000011000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 93*z**2 - 99*z + 103. Calculate m(-92).\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -81*i + 3. Calculate the least common multiple of 36 and p(-1).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680791471*d**2 + 682*d**3 + 680791471*d**2.\nAnswer: 682*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 147.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1075*c - 7317. Let x be l(7). What is the greatest common divisor of x and 73424?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 16*j - 9. Let x(s) = -5*s**2 + 18*s + 9. Let g(n) = -6*v(n) - 5*x(n). Let r be g(-5). Solve r*c = 9*c + 5*t - 45, -t - 1 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-308)\/16*(0 - 4). Let l = 142 - f. Suppose -4*g = g - l. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -1937395?\nAnswer: -1937391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = -z, -3*z - 5*j = -4*z - 43. Let q be (3493 + 2)*(-30)\/z. Let r = -116437\/20 + q. Calculate the common denominator of r and -149\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.61*0.5\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from pphhhphhhhhpspppsh?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 31. Solve 0 = -4*q + g + m*g - 20, 12 = -4*q + 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 81735 and -0.082.\nAnswer: 81734.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169760 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078263637?\nAnswer: 11, 103, 951689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/14421487?\nAnswer: 4\/14421487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01949 times 919?\nAnswer: -17.91131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 13) to base 3.\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - (1 + 1 + 0). Suppose 0 = 5*j - i*j + 1028. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/10 - 4879*y**3\/5 + 735677*y**2\/10 + 750316*y\/5 + 377598\/5 = 0.\nAnswer: -1, 78, 9682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261*q**3 + 352 wrt q?\nAnswer: -783*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-9))\/((-525)\/315) - (1 - 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*p - 463260 + 926533 - 463273.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 412110615 to the power of 1\/2, to the nearest integer?\nAnswer: 20301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 - 30096108.\nAnswer: -30096104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 287974458*w - 287974460.\nAnswer: 2*(w - 1)*(w + 143987230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 6*q - 6*q)*(887 - 1917 + 571 - 1514 - 1765).\nAnswer: -3738*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 - 3. Let j(o) = 13*o**2 + 7. Let t(b) = -3*j(b) - 7*s(b). Let f(a) = -13*a**2. What is t(f(w))?\nAnswer: 507*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 23. Let b be r(7). Let z(o) = 2*o - 3*o + 3*o - 8. Let v(g) = -g + 5. What is b*z(y) + 8*v(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 144. Factor 2\/3*z + 0 - v*z**2 + 2*z**3 - 2\/3*z**4.\nAnswer: -2*z*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 236067, 472135, 708203, 944271, 1180339, 1416407?\n\"Answer: 236068*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 388 in decreasing order.\nAnswer: 388, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81026433 divided by -3?\nAnswer: -27008811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let q = 13 + -9. Let w(a) = -2*a - 5*a**2 - q*a**2 - 6*a. Let j(n) = -n**2 - n. Let g(b) = 24*j(b) - 3*w(b). Determine g(d(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u + 0*u**6 + 0*u**3 - u**2 + 0*u**5 - 1\/70*u**7 + 0 - 11\/24*u**4. What is the second derivative of h(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let a = -4 + n. Let u = -418\/5 - -84. What is the closest to u in 0.5, a, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzz. Give prob of sequence zz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 20*l**2 + 4*l + 16. Let a be d(-20). Let n = -35 - a. Suppose n*k - 28*k = 10. What is the least common multiple of 2 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7007, -5651, -4321, -3029, -1787, -607?\n\"Answer: -2*g**3 - g**2 + 1373*g - 8377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1636885730 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 14*l**5 - 4*l**2 - l + 54. Find the second derivative of h(x) wrt x.\nAnswer: 840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -1. Suppose -o + 3*h - 21 = 0, -2*h - k = -4*h. Let s be (-10)\/45 + (-40)\/o. Solve -3*v - 25 = s*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*b**3 - 18103 + 18103.\nAnswer: -562*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -15846 > -15846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**6\/45 + 4*t**5\/15 - 8*t**4\/9 - 7*t. What is u in h(u) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -1 - 12 - 15\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x**2 - 28 - 554*x**3 + 277*x**3 + 278*x**3 - 18*x. Let y = 6 + -4. What is the remainder when b(-16) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 22*x**3 - 3*x**3 - 3*x**3.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + -3)*4 + 4 - sqrt(121)\/(3*(sqrt(11) - (sqrt(11) - (sqrt(11) - sqrt(176))))).\nAnswer: -8 + 73*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14*(33\/(-6))\/11. Suppose 11 = -3*v - x, -5*v + 0*x - s = -4*x. Sort 0, 6, v, -2 in descending order.\nAnswer: 6, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 - -252. Let k = b - -22. Solve k = 3*v - 4*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27744, 27746, 27752, 27762, 27776, 27794?\n\"Answer: 2*o**2 - 4*o + 27746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + u - u + (12 - 8 + 2)*(-9 - 5*u + 9) + 2*u - 2*u - u to the form i + n*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.85581399 rounded to one decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -19*g**3 + 2*g**2 - 10*g + 1. Let t(k) = 3*k**3 + k**2 - 1. Let a(z) = m(z) + 6*t(z). What is a(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -324a0?\nAnswer: 32494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 50. Suppose -k = -f + 20. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38502 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2 = 5*j - 2*y, -2*y = 5*j - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07632338353 to six dps.\nAnswer: -0.076323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b4d + -34?\nAnswer: -2b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -50183\nAnswer: -250915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443.1 - 439.531. Let z = c - 0.089. Round z to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -19*p + 15*p. Suppose -100 = p*v - 1578. Is v 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 5:15 AM and 5:17 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653470247 to the power of 1\/2, to the nearest integer?\nAnswer: 68216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -25*p - 1. Let f(w) = 31*w. Calculate k(f(c)).\nAnswer: -775*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 949390 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-35))\/((-2)\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37161 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 480109 = -1460989 + 297370. What is a rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 307933 or 307932?\nAnswer: 307933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.84448 millennia in decades?\nAnswer: 384.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 1 + 1)*(24 - 912*u - 916*u + 1830*u).\nAnswer: 6*u**2 + 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:31 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 2*d**2 + 11*d**3 + 4 + 0*d**2 + d**2 + 4. List the prime factors of j(3).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:20 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**2 + 14*r - 22. Let h be f(4). Let w = 551 + h. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 45*l. Let z(u) = -u + 2843. What is b(z(k))?\nAnswer: -45*k + 127935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*q = 21922 - 7547 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1253*d**2 - 2436*d**2 - 39*d - 4536*d**2 + 39*d as c + p*d + x*d**2 and give x.\nAnswer: -5719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576385598 is divided by 5936?\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - (-8)\/3. Does 32 divide i + (-3 - -97) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 59, 89, 121, 149, 167?\n\"Answer: -o**3 + 10*o**2 - o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 10, -5, 26 in ascending order.\nAnswer: -5, -4, 4, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -343321?\nAnswer: -343245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24714650 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(sqrt(48)\/(sqrt(6) + 1*sqrt(6) + sqrt(6) + sqrt(6))) + 4 + 1 + sqrt(128))*2)**2.\nAnswer: 480*sqrt(2) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 15 - 5) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 3*c + 6. Let y(x) = -4*x**2 + 4*x + 9. Calculate 7*w(d) - 5*y(d).\nAnswer: -d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 53 + (-5736)\/144?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 37 = -48*s + 52*s, 110*u - 542 = -s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475 divided by -56?\nAnswer: -1475\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 4 - 4)*(-2 + 2 + 1 + (2 - 1 + 1)*(2 + 0 - 1) + 2 - 1 + 0 - 15 + 12 - 8 + (0 - 6 + 2)*(-4 + 2 + 1)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -2552211?\nAnswer: -2552203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5601281923 - 123.13.\nAnswer: -5601282046.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 33*b - 29*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbn when four letters picked without replacement from nnnbbnnbnnnbbnbbbb?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 - -218. Let i(q) = -q**2 - q - 1. Let v(z) = 2*z**3 + z**2 + z + 1. Calculate x*i(t) - v(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -8*g**5 + 2310*g**4 - 8582*g**3 + 9126*g**2 - 1706*g - 1140 = 0.\nAnswer: -1\/4, 1, 2, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Suppose -5*p + i = -10*p + 28995, -2*p + 4*i + 11620 = 0. Let k(o) = -p*o + 5800*o - 80*o**2. Determine y(k(r)).\nAnswer: -12800*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1642418700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66080 and 39825.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -4*t - 72. Let k = 99 + t. Suppose v - k - 19 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:36 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 2*u - 7. Let g be b(-3). Let f be (-2)\/g - (-4)\/10. Suppose 5*i + 1653 - 9938 = f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 4*g - 78. Calculate s(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -479 and -0.0477905986.\nAnswer: -479.0477905986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48 - 0.48. Let s = -0.12 - 0.08. Which is the biggest value? (a) x (b) 3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x**5\/140 + x**4\/28 - 8*x. Determine w, given that b(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 883 - -0.811205.\nAnswer: 883.811205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -37.2. Let n = s - 9. Sort n, -4, -3.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 11872232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6728*i**3*z**2 + 261*i**3 + 2*i*z**2 - 5268*i*z + 6*z**2 wrt i.\nAnswer: 40368*i*z**2 + 1566*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 20188105*k\/3 - 20188106\/3.\nAnswer: (k - 20188106)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 62*y**2 + 3162*y - 264. What is t(-51)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5. Suppose -t + 0 + 2 = a. Suppose t*r = -0*h + 2*h + 22, 4*r + h - 19 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/(-1666))\/((-72)\/136*-4)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -6690118 and -0.67 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8. Let h = 212 + -1910\/9. Let w = 4 - 7. What is the nearest to x in w, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-30))\/((-22)\/217415) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 34*w**2 - 250*w - 52. Let v be o(-40). Let m = -310 + v. What is the greatest common divisor of 304 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3424 is divided by 1095?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-78))\/((-1944)\/(-4212)). Determine r so that x*r + 0 + 7\/3*r**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1970186*b - 5910554. Give m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwnbn. What is prob of sequence wnw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -201, -203, -205, -207?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*v**3 + 41*v + 43*v - 84*v.\nAnswer: 49*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 - 17*s + 7. Let g be p(-13). Let l be g - (2 + -3)\/1. Suppose 36 = 2*j + j. Calculate the greatest common divisor of j and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 23*z + 4*j = 4, -3*j + 3 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 1, j: 1, l: 1, n: 1}. What is prob of sequence ljan?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/18 and ((-1510)\/600)\/((-6)\/4 - 2).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/11 - 6*g**3\/11 - 40*g**2\/11 + 96*g\/11 + 128\/11 = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-14))\/(20\/(-10)*(324\/168)\/(-27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 - g**3 + g**3 - g**4 + g**4 - 4*g**4 + (g**3 - g**3 - 2*g**3)*(2*g - 44 + 44))*(-3*g + g + 0*g).\nAnswer: 22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u - 22*u + 3. Suppose -2*p + u*s - 1 = 0, 3*p = -4*s - 5 + 46. What is the derivative of -20 + p*n + 10 + 5 wrt n?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmmmgmmgmggmmmmmg. What is prob of picking 2 g?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/17)*x**(-36) assuming x is positive.\nAnswer: x**(-611\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002557 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419694 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uugvupvrvpuvvvuptppg. What is prob of picking 1 t and 1 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 23. Let v = 2013 - 1989. Calculate the greatest common divisor of f and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*q**3 - 30*q**2 + 33*q + 12.\nAnswer: 3*(q - 4)*(q - 2)*(7*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 40*l**2 - 288*l - 11477. Calculate b(-40).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 496, 511, 540, 589, 664, 771?\n\"Answer: w**3 + w**2 + 5*w + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19340000 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 + 5*l - 2. Let x be d(-6). Let s = x + 6. Suppose -2*u + s = 8. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 877287?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 17 + 35)*(-3*x + 3*x + 2*x)*(-4 + 3 - 3) + (3 + 2 - 4)*(-4*x + 5*x - 3*x).\nAnswer: -874*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.882526 rounded to two decimal places?\nAnswer: -4.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*l = -1191082 - 402593. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 = -8*c. Suppose 4 = -2*o - c*k + 2, -4*o = -2*k - 28. Solve 0 = -3*b + 4*b + o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-10\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 15 - o**2 + 3*o**2 - 3*o**2 + 7*o. Let x be t(-9). What is the highest common divisor of x and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - u = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*q + 436 = 0, 5*t - 5*q - 243 - 802 = 0. Let o be 30\/(-8)*24\/9. List the prime factors of (0 + t\/(-8))*o.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**3\/3 + 11*x**2\/2 + 5. Let k be s(-11). Solve 5*z + 4*g = k, 4*z + 1 + 10 = -g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 5*a**2 - a + 1. Let r be l(-3). Put -13, -3, 0, r in increasing order.\nAnswer: -13, r, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 29*o**2. Let j(y) = -1495*y. Determine j(t(x)).\nAnswer: -43355*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.67 and -44260.458.\nAnswer: -44263.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375 + -0.102?\nAnswer: 5374.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**6\/10 - 27*t**5\/10 - 8*t + 13. Let m(o) = 0. What is o?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2211 - 332. Which is greater: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2208327688*3.\nAnswer: 6624983064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 129.4930287us?\nAnswer: 0.00000000021410884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 459542304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3379\/11 - 307. Which is the closest to -1? (a) -1\/5 (b) n (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*z**3 + 555953*z**2 - 2*z - 3967890 wrt z?\nAnswer: 9*z**2 + 1111906*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 + 3. Let l be d(0). What is the third derivative of l*k**2 + 3*k**5 + 0*k**5 - 8*k**3 + 8*k**3 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -442 + -1056?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17140?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 87 + 2*p + 205 to l*p + n and give n.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -1 - -2 - -2. Let v = 7 - b. Suppose 48 = 3*o - v*u, 4*o - 60 + 14 = -5*u. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3*i + 13532*h**3 - 3*h**2 - 27630*h*i with respect to i.\nAnswer: 3*h**3 - 27630*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20220a1 (base 12) to base 4.\nAnswer: -112330333321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 54*n - 5 = 56*n, -n + 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -30. What is the common denominator of 138\/r*2 + -3 and 97\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218409 and 4437?\nAnswer: 323026911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 - 1*18\/(-3). Let c be (-41)\/82*(p\/(-26) - 0). What is the second smallest value in c, 0.4, 2.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60291 and 353829.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171418 and 44859?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -44.9. Which is the second biggest value? (a) -2 (b) 4\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 - 11*i**4\/6 + 23*i**3\/6 - 8*i. Find c such that g(c) = 0.\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13423 is divided by 707.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1093 in 82, -4\/5, 1\/3?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76)*3*5)\/(((-2*sqrt(56))\/sqrt(2))\/sqrt(7)).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/26146 and -46\/867.\nAnswer: 1333446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*p**4 - 44*p**4 + 131*p**4 + 0*p**4 + 2*p**4 - p**4 + (-p**2 - 4*p**2 + 4*p**2)*(-3*p**2 - 2*p**2 - p**2) + 4*p**4 + 2*p**4 + p**4.\nAnswer: 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 57. Let t(l) = 4*l. Determine u(t(g)).\nAnswer: 12*g + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 32*m**2 + 265*m + 34. Let s be x(18). Solve -275 + s = -7*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, -2560, -9981, -24262, -47689, -82548?\nAnswer: -131125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*t + 661*t - 153*t - 167*t - 145*t.\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*b = 103*b - 684. Suppose -5*q + y = 4*y - 118, 3*q = 5*y + 98. Calculate the remainder when b is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16516480 divided by 1?\nAnswer: 16516480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6633 + 10405. Is 41 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -5) + -1 + (5 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 1. Suppose 11*a - 31 = 6*a + 4*o, -12 = 3*o. Calculate the remainder when y is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15353 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 6\/(-18)*(-39)\/4. Suppose 4*u - 1 = -5. What is the third biggest value in g, u, 4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 70. Calculate the remainder when ((-39)\/2)\/3*-4 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 y, and 2 s when four letters picked without replacement from qqquuzssqqsyf.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - d - 664, -4*k + 2*k + d + 334 = 0. What is the greatest common divisor of 1245 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296470 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**6\/180 - b**5\/60 - 4*b**3\/3 + 2. Let y(q) be the third derivative of t(q). Factor y(o).\nAnswer: 2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6 - 6) + (-1 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.150544 and -4\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75982 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 33*g**3 - g**2 + 4*g. Let x be i(1). What is the highest common factor of 528 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 9. What are the prime factors of 2 + (-10)\/r + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**3 - 70200*y**2 - 1372322*y?\nAnswer: -12*y - 140400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + v**5 + 3*v**5 - 262*v**5 + 2881 - 2881 + (0*v - 2*v**2 + 0*v)*(-v**3 + 0*v**2 + 0*v**2).\nAnswer: -257*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j. Let z(i) = 3*i. Give k(z(o)).\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1262196 by 46748.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w + 263 = -12*w - 487 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -15. What is the greatest common divisor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 183 - -2a283?\nAnswer: 2a426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + -5 + -1 + (-2 + sqrt(405))*4*3)*3)**2.\nAnswer: -2125764 + 209952*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -1\/2 (c) -100 (d) -13 (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3 + 1. Let o(h) = -i*h + h - 2*h. Let t(j) be the second derivative of j**4\/12 - 2*j. Determine o(t(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35823 divided by -805\nAnswer: 35823\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (40 + -105 - -39).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 34 = 2*m, -4*m + 8*k = 4*k - 12. Suppose -m*a + 3 = -6*a. Solve 3*f - a*n = -10 + 1, -f = -4*n - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00122 - 0.40122. Let m be (10\/(-75))\/((-4)\/(-40)). What is the smallest value in m, 0.14, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = 2. Suppose 16 + 5 = -3*h. Let z = -0.25 - -2.25. Put n, z, h in ascending order.\nAnswer: h, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:20 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 8. Let w be p(8). Suppose 5*g - 41*g**3 + w + 256*g**4 + 32*g**2 - 246*g**4 - 6 = 0. What is g?\nAnswer: -2\/5, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-561)\/43 + 61 + -48\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 - 3*y + 3*y - 12*y**2 + 21.\nAnswer: -20*y**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/8))**(-3\/31)\/(r\/r**(3\/2))**39 assuming r is positive.\nAnswer: r**(4827\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7 - -1) + (49 - 43)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-598)\/(-144) + -4)*285960\/(-3318). Let q = 2\/4977 + m. Calculate the common denominator of 109\/12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -5, 3, 1, -90, 5 in descending order.\nAnswer: 5, 3, 1, -5, -49, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524291193 - -50238.\nAnswer: -524240955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1611*k + 684678. What is w(-425)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 times -5.7\nAnswer: -1.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(2*y + 18*y - 2*y)*(-3 + 5 - 4) as p*y + s and give p.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 2}. Give prob of picking 1 z and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31 + (-84)\/154*11. Solve n = b*n + 120 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let d be b(2). Suppose 17*y - 15*y = 8. Suppose -y*m + 53 = t, 4*t + d + 10 = 0. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*w = g - 130, -3*w - 20 = -g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 17 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*i + 80, 0 = 2*i + 2*m + m - 52. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/13 - 2\/13*k - 2\/13*k**2 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*u**2\/2 + 34921*u\/4 + 339\/2.\nAnswer: (2*u + 339)*(103*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 7*j - 7. Let p(i) = i - 7. Let c be p(5). Let b be 0*(0 - (-1)\/c). Let x(k) = b*k + 3*k**2 + k + k - 7*k + 5. Give -5*t(y) - 7*x(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -532 - -541. What is the remainder when 58 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2052 - -456766?\nAnswer: 454714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {j: 13, g: 3, i: 2}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 383*q**4 + 1602*q**4 + 1910*q**4 + 402*q**4 + 948 + 29 wrt q?\nAnswer: 17188*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/24 + 2\/(-12). Let a(z) = 1 + 2 - z + 19*z - t*z. What is the remainder when a(3) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105197\/3 or -35065?\nAnswer: -35065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8090*h**4 + 7035*h**2 wrt h.\nAnswer: 194160*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122168*w**3 - 170*w**2 + 51 wrt w.\nAnswer: -733008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 17905 + 18543 = 0. List the prime factors of l.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 156 in increasing order.\nAnswer: 2, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + 19. Suppose -411 - b = -4*r. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -7 + (-66 - -76 - -24).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.21 - -0.21. What is the nearest to 1 in 0.2, 2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1007*j + 357 + 364 - 721 to the form w*j + f and give w.\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2089\/3 - 696. Solve 0*x**2 - 1\/6*x**4 + 1\/3*x**3 + 1\/6 - g*x = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9) - (-100)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a = 48 - 48 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/98)\/((-20)\/42)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.09, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91923 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -73. Let v(m) be the second derivative of 0*m**2 + 1\/15*m**6 + 0*m**5 + 1\/4*m**4 + 0 + 0*m**3 - b*m. Find the third derivative of v(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.322 * 0.4\nAnswer: -0.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -0.4, 46\/13, 0, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3773*d + 141. Let f be t(14). Suppose -54*h + f = -2387. What are the prime factors of h?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/7*(5\/40)\/((-35)\/28).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1257 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229818 by -76606.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 447*t - 1785. Calculate m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-864)\/216 - (-16)\/9)*-9 - -6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 13*b**3 + 236*b + 2*b**2 + 191*b - 427*b.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (525 + 427 + 608)*(-4*p + 3*p - 2*p).\nAnswer: -4680*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -0.36. What is the closest to x in 0, 5\/3, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwawwaa. Give prob of sequence ww.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y**2 + y. Let s(u) = 4*u**3 + 3*u**2 + 6*u - 1. Determine s(z) - 3*t(z).\nAnswer: z**3 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.47 - -11.57. Which is the second smallest value? (a) -0.1 (b) -1\/4 (c) -1 (d) r (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175818 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 + 4471*s**2 + 369911*s + 6154961 = 0. Calculate s.\nAnswer: -4387, -61, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6595 is divided by 1864?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10*-6*(-5)\/(-135)*-9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uarrrtxrtrwuaturatu. What is prob of sequence rutt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 158080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 687\/8 (b) 0.2438 (c) -3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4886 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*(-6)\/14)\/((-60)\/(-105)). What is the third biggest value in -1, 5, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + 3 - (0 + -14). What is the highest common divisor of 162 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.192 or 14\/9?\nAnswer: 1.192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895*c - 11725884 = 571*c. List the prime factors of c.\nAnswer: 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, v: 4, w: 1, b: 3, k: 4}. What is prob of picking 1 b and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3\/(63\/(-6)). Put 0.2, y, -1, -4 in increasing order.\nAnswer: -4, -1, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + 4 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0)*-1.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.79524891 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23563387486149 and 2.\nAnswer: -23563387486147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/5560 and -67\/834.\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53152 - -106012. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 9486*(7 + 116\/(-12)). What is i rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130\/3 - -44. Which is the nearest to t? (a) -1\/38 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 22*k + 61*k = -4*d + 60, -2*k + 104 = 4*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(5\/(15\/(-6))). Let z be 0 + (q + -2 - -46). Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38004 in -5, 110, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 - 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {h: 2, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525\/(-3)*746\/(-9325)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111001 (base 2) in base 7?\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 2*d - 8. Let r be l(4). Let x = -1 - 1. Let n(s) = s + 4. Let y be n(x). Calculate the greatest common divisor of y and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.35 - -1.35. Let j = 1.3 - 1. Let i = -0.92 + -3.08. Sort i, j, -0.1, g.\nAnswer: i, g, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 9:39 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.93 + -0.07. Suppose 4*k - 16 = 2*n, -n + 12 = 2*k + k. Let q = -79\/235 - 3\/47. Which is the closest to q? (a) o (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 564.674845 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(1800) - (3 + sqrt(1800))) - sqrt(1800)) + sqrt(1800))*-2)**2 + -5 + -3 + sqrt(200) + -2.\nAnswer: 10*sqrt(2) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.15 - 0.15. Let f = -133.227 - -0.227. Let y = f + 132.6. Which is the fourth biggest value? (a) 3\/5 (b) y (c) 0.4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 1)*((2*s - 2*s - s)*(4*s - 2*s - s) + 13*s**2 - 11*s**2 - 20*s**2).\nAnswer: -152*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.19999891 - 2.2. What is q rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.553595 to 3 dps.\nAnswer: 21.554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:23 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -117. Calculate the remainder when b is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*t - 14 - 6, -5*j + 18 = 2*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -46*g - 153. Let a be f(10). Let c = a + 1023. What are the prime factors of c?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -15\/11*x**2 - 3\/22*x**4 + 32\/33*x**3 - 85 - 36\/11*x. Factor z(l).\nAnswer: -2*(l - 3)**2*(3*l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 2) to base 3\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*q - 4465 = 613 - 1186 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o**2 - 5*o + 58. Let j(f) = -20*f**2 + 2*f - 28. Let g = -47 - -42. Let k(m) = g*j(m) - 2*d(m). Find the first derivative of k(c) wrt c.\nAnswer: 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37797*s - 34*s**4 + 37797*s)*(4 - 1 - 5) to h*s**4 + r*s**2 + q + n*s + f*s**3 and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14002*a - 8. Let g be q(-4). Suppose g = -45*y + 46*y. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -107. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8202048618 to four decimal places.\nAnswer: 0.8202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paea. Give prob of picking 1 a and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 - -131. Let r = -0.22 - -3.62. Let s = r - -0.6. Which is the biggest value? (a) 5 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -40\/31?\nAnswer: -40\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260952 - 260950. Factor -16*k - 82\/5 + 2\/5*k**w.\nAnswer: 2*(k - 41)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325) + -4.\nAnswer: -7 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 - 8*b**4 - 8*b**3 + 16*b**2 + 4*b - 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029312865.\nAnswer: 5, 7, 401, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 11 - 12 + 19.\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (15 - 10) + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 - 4.82. Let v = 0.2 - -2.8. What is the smallest value in y, 0.2, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qllv when four letters picked without replacement from {t: 2, a: 1, v: 2, q: 3, l: 2, w: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/(-364))\/((-1)\/(64\/(-76)))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 0.4. Let q = 2.36 - 1.86. Sort 0, x, q in descending order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*n - 105 = 0, -2*d = -5*d + 3*n + 93. Let x = -19 - -19. Suppose x = 3*t - d - 24. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:22 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2807815 to the nearest one thousand.\nAnswer: -2808000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 174*i + 1887. Determine p(-15).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 5)\/2*3. Suppose -2*b = -q*b + 12. Calculate the smallest common multiple of 15 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 1506157394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -33. Suppose g = -t + 43, z*g = g + 4*t + 62. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847740?\nAnswer: 2, 3, 5, 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6025639 by -30587.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400221 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13165 (base 7) to base 13.\nAnswer: -17b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2364 + 2380. Solve 5*x - 7*x = -5*h + 4, 2*h - k = -4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4, -22, 117, 22 in increasing order.\nAnswer: -22, -4, 3, 4, 22, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j = -4*l + 16, -4 = -j. Suppose 5*r = h + 16, -3*h - 2*h + 12 = -l*r. What is the third derivative of z**2 - z**4 + z**2 + 3*z**h - z**2 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -k + 452, 4*k + 5*d + 0*d = 1773. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 1\/6*d**4 + 0*d**2 + 0 + 3*d + 0*d**3 - 1\/10*d**5. Find the third derivative of s(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) + 44\/8. Let l = 6 - f. Differentiate l - 1 - 5*r**2 - 2 wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4208007 and 3016359.\nAnswer: 340848567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)*x*x**4\/x)\/((x**(-2\/11)*x)\/(x**(2\/5)*x)) assuming x is positive.\nAnswer: x**(866\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 13*r**2 - 22*r. Let a be q(-11). Suppose a = -v + 31 - 1. Let t = 11 + 64. Calculate the highest common factor of v and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) + -3 + 15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -5*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3116, 4614, 6118, 7628?\n\"Answer: 3*a**2 + 1489*a + 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10*h - 165 = 0. Let d(c) = -c - 1. Let f be d(-4). Suppose f*b + 6 = 33. What is the remainder when h is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258503433.\nAnswer: 3, 113, 762547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 913293 and 4869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -108890.1 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*((sqrt(5) + sqrt(500)*2)*5)**2 + (sqrt(720) - ((sqrt(720) + -1 + sqrt(720) + sqrt(720))*4 - sqrt(720)))*6.\nAnswer: -55100 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 3. Let x(s) = -2*s - 4. Let h(o) = -x(o) + 3*z(o). Give h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 318520 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 67 - 67)*(-2 + 3 - 2) + (4*x + 2*x - 4*x)*(-5 + 8 + 4) - 253*x - 260*x + 516*x - 19.\nAnswer: 13*x - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-2))\/((-64)\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.053 and -8.7282.\nAnswer: 0.4625946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 3*h**2 - 2*h**2 - 2*h**4 - 1 in the form n + d*h**3 + r*h**2 + q*h + o*h**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37085.74207 rounded to the nearest one hundred?\nAnswer: -37100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.2 (c) 0.22074 (d) 1\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2905563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1 + 9*l - 19 - 23. What is the tens digit of k(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/(-6))\/((9 + -15)\/(-450)) is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1917 + -1844. Let q = 52 + -32. What is the remainder when l is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -365, -557, -751, -947, -1145?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132172.\nAnswer: 2, 173, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/7, -471, -4\/5, -0.22, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.22, -4\/5, -15\/7, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 + 17*o**2 + 74 as r + p*o + b*o**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (-17)\/((-340)\/45).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/26 (b) 2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2242 - 3?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - 1. Let b be j(1). Suppose -5*i - 2*z + b = -19, 0 = i + 3*z - 12. Suppose -i*n = -4*q - 6, -3*q + 39 = 4*n + 2*q. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (13 + (-45)\/(-150)*-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.7364l to millilitres.\nAnswer: 86736.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66800 and 12358?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 3. Suppose 3*s = 12, 8 = 4*b + 4*s - 5*s. Let u be o(b). Let c = 3 + u. Solve 3*m + 3*x + 21 = 0, -m - 2*x + 0 - 9 = c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 20 = -27*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-7)\/112 + (-54399)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 1676400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v - 3*v + 17*v)*(1 - 1 + 2*v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -1\/15*h**6 + 29\/10*h**5 + 57\/4*h**4 + 0*h**3 + 0*h**2 + 33*h - 2. What is the third derivative of x(g) wrt g?\nAnswer: -48*g + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = -3*m + 9, 2*v + 19 = 3*m. Let g be v + 74\/(-3 + 5). Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/4 - 2415*n\/4 + 25137\/2 = 0. Calculate n.\nAnswer: 21, 2394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84448 rounded to 2 decimal places?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 75*x**2 - 35*x + 91. Let u be c(-37). Solve u*d = 52 + 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y**(3\/5))**(-2\/5)\/(y**(-3\/5)\/y*y**1*y**(-1\/6)\/(y**(3\/2)\/y*y)) assuming y is positive.\nAnswer: y**(278\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -351.095 - -0.095. Let i = -0.2028 - -0.3028. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -12*t - 60, -3*t + 92 = 5*x + 152 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -33) + (-176)\/(-12)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 2*d**3 - 2*d**3)*(-5*d + d + 3*d) + 2*d**4 - 6*d**4 - d**4 + (d**3 - 4*d**3 + 2*d**3)*(-2*d + d - 2*d).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168)*3 - sqrt(22)) + sqrt(154)\/(sqrt(35)\/sqrt(5)))\/((sqrt(1100) - 1*sqrt(1100))*-3 - -3*(sqrt(1100) + sqrt(1100)*2)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Suppose -p*i + 732 - 3 = 5*g, 0 = 4*g - 5*i - 575. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 5:39 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Suppose 1 = -q - 5*v, v + o*v = -3*q - 31. Let z = -4 - q. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334*l = 1068*l + 11438 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2)*(1 + -3). Let v = -2 + f. Suppose 0*y**v - 2*y**2 - y**4 + 1 + 2*y**4 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4 + 3*h**2 - 1450*h - 881. Differentiate r(k) with respect to k.\nAnswer: 12*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 - 6*a + 7*a**3 + 86 + 2*a**2 + 77 - 160 to k*a**2 + b*a + o*a**3 + c + m*a**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 7*p + 4. Let d be y(-7). Suppose d*q - 203 - 1921 = 0. Let w = q - 231. What is w rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.64875 to two decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*y + 50*y - 255. What is the remainder when 157 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 + 502. What is the highest common divisor of 120 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262728 or 262727?\nAnswer: 262728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ussd when four letters picked without replacement from stdxdkus.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/129 - 57\/43. Suppose 0 = -4*s + 2*l + 11 - 5, -2*l + 12 = 2*s. Let j be 6 - s\/((-2)\/(-2)). What is the second smallest value in -2\/3, j, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5*l + 4 = 0, -r + 5*l - l - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + d + 3, 319*k = 323*k + 2*d - 24. Let n(y) be the first derivative of k*y + 5 + 1\/2*y**2. Let c(s) = 4. Calculate 2*c(f) - 3*n(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 50 - 50 + h. Let c(v) = v**2. Give c(z(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 2152?\nAnswer: 2152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 10, t: 2, b: 5, o: 1, x: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 36*l**2 + 14*l - 520. Let j be t(35). Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 8, -1\/4, -1.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - sqrt(91)*-3)\/sqrt(7) - sqrt(26)\/sqrt(50).\nAnswer: 19*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1976, -1.9, 1 in descending order.\nAnswer: 1, -0.1976, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6012*x - 282511. What is w(47)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-42\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 + u - 6. Suppose r + 3*r = -20. What is y(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.3. Let d = 3.9 + k. Let p = -12.6 + 13. What is the second biggest value in 1\/2, d, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = 2*r, 16*r - 20*r + 27 = 3*s. Let j be 5*5\/(-225) - (-145)\/r. Calculate the greatest common divisor of j and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 9*m**2 + 8*m - 4. Let k be a(8). Let g(n) be the third derivative of n**4\/12 + n**3\/3 + n**2 + 274*n. Calculate g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*7707\nAnswer: -23121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 12*f + 9. Let u be q(9). Let a be 4\/(-8) + 10\/u. Is 1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -3)\/((-3)\/(-2)). Suppose x*c - 5*c + 12 = 0. Suppose 4*j - c = 2*j. Solve 0 = j*g + 2*g + 4, 0 = 2*r - 2*g + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18*v - 16*v + 31*v + 1. Suppose -r + 4 = 4*i, 4*r - 6 = -2*i + 10. Give b(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - v**2 + v - 1. Let y(b) = 4*b**3 + 6*b**2 - 2*b + 6. Give -6*h(a) - y(a).\nAnswer: 2*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 100*w**2 + 320*w.\nAnswer: 5*w*(w - 16)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 232.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -56845*((-1365)\/75 + 18)?\nAnswer: 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -11*f**4\/12 + 19*f**2 - 6*f. Let b(i) = -7*i**2 + 25. Let o(r) = -8*b(r) + 5*y(r). What are the prime factors of o(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27899, 55798, 83697?\n\"Answer: 27899*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from crr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jeo when three letters picked without replacement from {e: 5, j: 2, o: 4}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 58*n - 12. Let w be j(7). Suppose 106 = -10*l - w. Calculate the remainder when 287 is divided by -5 - (-10)\/(l\/(-315)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let b = 173 - 123. Suppose b*n = 54*n - 52. Solve -6 = -s + 4*s, -5*s = 3*z + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1925.982ml?\nAnswer: 1.925982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 183 + 203*d**3.\nAnswer: 203*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 126, 192?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -103. Is 53 - (i + -2 - -7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 9640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, v: 4, w: 4}. What is prob of sequence xwvv?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2*g*g**5)**(2\/13)*(g*g**0*g\/((g*g**(-4\/7)\/g)\/g))\/((g*g\/(g\/(g\/g**6))*g)\/g**(-7)) assuming g is positive.\nAnswer: g**(31\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -583 - -348?\nAnswer: -23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10*b = -6*b + 312, -q + 2*b = 156. Let f = q - -157. Solve h + 5*k - f = 3, 0 = -5*h - 5*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132 - -8?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + 6 - (31 - 19))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 11.07. Let o = 10.5 + i. Let f = 31\/5 - 202\/35. Which is the third biggest value? (a) o (b) 2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (33 + -96 + 21)) + -136\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/12 - k**3 - 4*k**2 + k - 122. What is s(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 558612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3411*n = 3416*n + 5. Which is bigger: n or -1\/132?\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -j + 5*j, -z - 1 = 0. Suppose 3015 = 3*i - 2*l, j = -3*i - l - 0*l + 3024. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 31 + -9 + -14 - (-2 - -4)) + -72\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60005, -120007, -180003, -239987, -299953?\nAnswer: -359895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6 - 2*t - 11 - 4. Let m = 5 - 11. Let z be n(m). Solve -z*w = -7*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799565954?\nAnswer: 2, 11, 36343907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**37)**(-13))**(14\/5) assuming x is positive.\nAnswer: x**(-6734\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01524 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 448221955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11906692 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*n**2 + 58*n**2 + 63*n**2.\nAnswer: 265*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let b be 2*((-1)\/(-2))\/((-27)\/6). What is the nearest to b in -3\/5, -2, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 + 7*a - 8. Let q be f(6). Let m be q\/3 - (-28)\/6. Suppose -t + 13 = m*p, 5*t = -p - 3 + 11. Are 1 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 180?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1488))\/(127*69\/70104).\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 3*q. Let g(b) = -21*b**2 - b + 6. Let l(d) = 26*d**2 + d - 8. Let c(j) = 5*g(j) + 4*l(j). Give c(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13610078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -538 - -63. What is the tens digit of 44\/(-55)*1*u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28147 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v + v + 2 - 4*v)*(164*v - 162*v + 184*v).\nAnswer: 1860*v**2 + 372*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/77 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from ozkfeemefkfzkzkekek.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*r)*(13*r + 63*r - 26*r) in the form h*r**2 + i*r + p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0 + 0*p**5 + 0*p**3 + 0*p**2 - 1\/3*p**4 - 10*p - 11\/15*p**6. What is the third derivative of n(h) wrt h?\nAnswer: -528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 6083, -17, -2, 0.1, -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2570, 204, 2978, 5752, 8526, 11300?\n\"Answer: 2774*c - 5344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2166 divided by -5.\nAnswer: -2166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.1. Let z = 0.2 - l. Let v = 32 + -28. Which is the biggest value? (a) -1 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244 + 3?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 15*r = 24. Let b(d) = -4*d**2 + d + 12. Let v be b(r). Let q = v + 64. What is the remainder when q is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 117?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119459.\nAnswer: 17, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 3*s**3 - 21*s**4 + 22*s**4 + 2*s - 10*s**4 to the form n*s**4 + q + j*s**3 + z*s**2 + o*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/11)*c\/c**41 assuming c is positive.\nAnswer: c**(-443\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:26 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06872 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -139\/56 or -3?\nAnswer: -139\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(84) - -1*sqrt(84))*-6)\/(sqrt(12) - (sqrt(132) + 3*sqrt(132))\/sqrt(11)))**2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15039, -15040, -15043, -15048, -15055, -15064?\n\"Answer: -f**2 + 2*f - 15040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*b + 17, -5*b + 3*f - 5*f - 7 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 29196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 631434 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/120 + d**5\/12 - d**4\/24 + d**3 - 2*d**2. Give m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 u when four letters picked without replacement from uuiuiuriuuur.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*p + 56 = -5096 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*4 + -14. Let j(z) = 4*z**3 + 24*z**3 + 6*z**2 - 8*z - 8 + 5*z**2 - 2*z**2. Let s be j(g). What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -q - 8*q - 225824, l - 225769 = -2*q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3 + 6) - (-40)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506501, 2025969, 4558407, 8103809, 12662169, 18233481, 24817739?\nAnswer: 32414937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 42, -0.1, 27 in increasing order.\nAnswer: -1, -0.1, 3, 27, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174 divided by 6?\nAnswer: 587\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596197371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q**2 - 6. Let u = 3350 - 3349. Let k(p) = -p**2 - 1. What is u*y(c) - 5*k(c)?\nAnswer: -5*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/339 - -989\/1356. Is -31 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let g(x) = -15*x - 4. Calculate -g(l) - 6*k(l).\nAnswer: 9*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.2. Let z = 45 - 45.3. Let m = 6.1 - 6. Sort z, r, m in increasing order.\nAnswer: z, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1842493 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adzawwvwvvawv. Give prob of sequence ww.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 6. Suppose 0 = 3*o + 5*s - 7, -5*s - 17 = 2*o - 5*o. What is the closest to -2.9 in p, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - 4*f**2 + 5*f + 1. Suppose 94*m - 125*m - 316 = 127*m. What is s(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1004541822?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 2*u - 4*u - 11*u + 11 + 3*u. Let c(s) = -7*s. Let v be c(2). List the prime factors of j(v).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54797?\nAnswer: 37, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - i + 0*i)*(-1 + 1 + 3 + (-1 + 0 - 1)*(-12 - 8 + 4) + (-2 + 2 + 1)*(-2 + 0 + 1)) in the form d*i + y and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 549 - 547. What is the fourth smallest value in 2\/71, -4, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117235 is divided by 55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/4)\/(55545\/(-14812))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 6.6. Let b be (-18)\/(-22) + -1 + 165927\/1045. Let r = 159 - b. Sort r, -1\/2, s, -5.\nAnswer: -5, -1\/2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 10. Let o(m) = m + 2. Let l(c) = d(c) + 3*o(c). Suppose -3*v + 21 = -0*v. List the prime factors of l(v).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/7 + 90*k**3\/7 - 3086*k**2\/7 - 20994*k\/7 - 17820\/7 = 0. Calculate k.\nAnswer: -66, -5, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*m**2*x - 6*a**2*x - 18*a**2 - a*m**2 - 8*m*x wrt x.\nAnswer: -a**2*m**2 - 6*a**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - 3. Let c = t - -16. Let i(q) = -4*q**2 + q + 3. Let d(p) = -2*p - 1. Let j be d(1). Let o(l) = -9*l**2 + 3*l + 7. Determine c*i(y) + j*o(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 5)*(-1 + 1 - s**2) + 4*s**2 + 0 + 0)*(6 - 2 - 3)*(-2*s - 5 + 5).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 6*i - 23)*(2 - 3 + 2 + (-2 - 1 + 4)*(-2 - 2 + 3) + 1 - 5 + 2 - 1 + 4 + 2)*(4 + 2 - 7).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*m**3 + 259*m**2 + 145*m + 14.\nAnswer: -(m - 7)*(5*m + 2)*(8*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let n(c) = -2*c**2 - 216. Calculate n(y(k)).\nAnswer: -8*k**2 - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328205 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**2 - 5*n - 5*n + 7 + 10*n in the form o*n + b*n**2 + x and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-473082.\nAnswer: -473082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 6*f**2 - 2*f**2 - 3*f**2 + 5 + 4*f**2 + 3*f**2 to d*f + p + t*f**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**4 + k**2 - k + 1. Let l(c) = -2*c**4 + 8*c**3 - 6*c**2 + 8*c - 8. Let q(b) = l(b) + 8*t(b). Factor q(d).\nAnswer: 2*d**2*(d + 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 29 - 272. Suppose s - 18 = 3*w - 93, 3*s = 3*w - v. Let c be (-2)\/8 - 245\/(-20). What is the highest common divisor of c and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.86066ml?\nAnswer: 0.00586066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - 3*i - 1.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 1 - 5. Let f(l) = 5*l**2 + l + 1. Let o be f(n). Suppose 4*h - 3*h = o*y - 2, -4*y + h + 1 = 0. Is y smaller than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 22 = 2*l, 0 = 5*u - 810*l + 814*l + 56 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l - 5*j, 5*j = -l - 16. What is the second derivative of s**3 - 2 + 2 - 2*s - l*s wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(24)\/sqrt(4))*-2)\/(sqrt(576)\/sqrt(8) + (-1*sqrt(162) - sqrt(162))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-450))\/((-9204)\/4720).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54161226*v**3 - v**2 + 3586077*v - 5.\nAnswer: -324967356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 754 - 19. Suppose 87 = g - 3*l, 2*g - a = -0*g - 3*l. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j**2 + 5\/6*j**4 + 0*j - 2\/15*j**5 + 4\/3*j**3 - 31. Let b(l) = 0. What is l?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - (-60)\/14. Let j be (-2 - -22)\/4 + -1. Let f be 0\/(-1) - (j - 5). Solve 0 = 4*y - 2*q + 2, -f = 3*y + i*q + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)*x*x*x*x*x**(-6)*x*(x\/(x*x**(-2\/5)))**(-1\/26) assuming x is positive.\nAnswer: x**(-391\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29209963?\nAnswer: 499, 58537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-824)\/(-32) + 1\/4. Suppose -7*v = -d + 5. Suppose -5*j + 258 = f, -3*j + 2*f + 154 = v*f. Calculate the greatest common divisor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2780 and -2380.\nAnswer: -6616400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) - 11\/(-20). Suppose 3*j = -2*j. Let z be (0 + j)*(-8)\/16. Which is the biggest value? (a) z (b) 2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1088) + 4 + sqrt(1088))**2 + (-3 + sqrt(1088)*-2)**2)*2.\nAnswer: 192*sqrt(17) + 17426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41659063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 - j + j + (4*j**2 - 3*j**2 - 3*j**2)*(5 - 6 + j - 1) - 20*j**3 + 3*j**3 + 2*j**3 + (3*j - 5*j + 3*j)*(-3*j**2 + 3*j**2 + j**2).\nAnswer: -18*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -522500244?\nAnswer: -522500252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/6 + o**3\/2 + o**2 - 2*o - 2. Let h(k) be the first derivative of c(k). Suppose j + 0 = -2. Determine h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -77717*p + 466296. Give q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j**5 + 5*j**4 - 3*j**2 + 5*j + 5. Let d(o) = -o**5 + o**4 - o**2 + o + 1. Let s(u) = 5*d(u) - y(u). What is the third derivative of s(f) wrt f?\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let u be l(0). Let n be (16\/2)\/(2*u). Factor 4\/7*i**3 + 0*i**2 + 0*i + 0 - 10\/7*i**n.\nAnswer: -2*i**3*(5*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let j(z) = -8727*z + 4437*z + 4421*z. Determine l(j(f)).\nAnswer: 262*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -673*u + 328*u + 71 + 336*u in the form a + j*u and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 17*j - 3 - 51, -1336*r - j = -1334*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - -2.5. Let u = -2 + s. Let k be 1 + ((-3)\/2)\/1. What is the smallest value in 0, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 5*s - 1. Let r be z(-5). Let a be ((-6)\/r)\/((-3)\/6 - -2). Calculate the remainder when (-60)\/a*-3*184\/60 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 11650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55553 (base 6) in base 7?\nAnswer: 31443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y + 8. Let z be c(-6). Factor u**2 + 0*u**2 - 3*u**z + 4*u.\nAnswer: -2*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 627*n**3 - 21*n**2 + 32*n + 9. Is 11 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-14)))**10 assuming a is positive.\nAnswer: a**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/(((-152)\/128)\/(19\/76)).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 201 - 8025 = -309*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -a - 8 - 19, 5*a = -i + 41. Suppose -i*c + 44 = -12*c. Is c greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 1457685.\nAnswer: 71426565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2548 = 8*u - 964. Let o = 2192\/5 - u. Let q = -1 - -2.2. Which is the third biggest value? (a) o (b) -1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100001 + 1011?\nAnswer: 10100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 1270*y**3 - 80645*y**2.\nAnswer: -5*y**2*(y + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-23)*l**24*l\/(l\/(l*l**(14\/5)\/l))*l*l**(2\/23) assuming l is positive.\nAnswer: l**(677\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101364 + -57822. Suppose 10*n - 51*n + l = 0. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-9)\/3)\/(-2 + 3). Factor 7\/4*x**2 - 2*x**3 + l + 3\/4*x**4 - 1\/2*x.\nAnswer: x*(x - 1)**2*(3*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1015*y - 9128. Calculate c(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 + 8*v - 8*v)*((0 - 4 + 2)*(3 - 1 + 0) + 2 - 3 + 0 - 3 + 13 + 15) + (4*v - 2*v - v)*(-3*v**2 + 3*v**2 - 2*v**2).\nAnswer: 78*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {e: 5, m: 6, g: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 31705 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13965193 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 19 - 89 = 0. Suppose -a*q + 8*q + 1556 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**12)\/(s*s**(-12)))\/(s**9\/(s*s\/(s*s**(-5\/7)*s)*s)) assuming s is positive.\nAnswer: s**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*m**3 + 225*m**3 + 223*m**3 + 222*m**3 + 226*m**3 - 1115*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2009 times 5584?\nAnswer: 1121.8256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, -2, -4 in descending order.\nAnswer: 2, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 11.6401\nAnswer: -5.82005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q + 4. Let n(g) = -g + 1. Let a(f) = 5*f - 5. Let o(y) = -6*a(y) - 25*n(y). Let k(h) = 6*i(h) - 5*o(h). Give k(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 36 + 11)*(-1871 - 111*o + 1871).\nAnswer: 6549*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:32 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 1. Let j be i(-1). Let b(c) = 0 + c + 5*c - 4*c + 10*c**3 - c**2 - 1. What is the tens digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2408, -4821, -7198, -9521, -11772?\n\"Answer: 3*c**3 - 2434*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 81 = 6. Let j = -6 - -51. What is the highest common factor of j and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/56 and 101\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -880?\nAnswer: 880.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16434730547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 6*p**3 + 0*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5761576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19918938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/49, 2, 0.5, -2\/13 in decreasing order.\nAnswer: 2, 1, 0.5, 2\/49, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 151?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.74552 times -0.0303\nAnswer: 0.022589256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*x**2 - 99*x**2 - 33*x**2 - 9*x**2 + 19*x**2 + (-5*x + 2*x - x)*(-5*x + 7 - 7) in the form v*x**2 + d*x + m and give v.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 43. Suppose t = -2*y + 43. Put -12, y, -2 in increasing order.\nAnswer: -12, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*t - 4*k, -6*t = -t - 2*k - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 11:56 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 950 and 0.0396.\nAnswer: 37.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 15900*q. Let f(i) = 6*i. Determine j(f(h)).\nAnswer: 95400*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30098004 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2700 divided by -3.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 + 59*r - 154. Calculate a(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549233.6l in millilitres?\nAnswer: 549233600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 6 + 2*m)*(19*m**3 + 4*m**3 - 6*m**3).\nAnswer: 34*m**4 + 119*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5109 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32626696 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58800541 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 0 - 8207*m.\nAnswer: -8207*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -3\/8, 579, -2, 4, 5 in decreasing order.\nAnswer: 579, 5, 4, -3\/8, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = 33 - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 189, -133, -829, -1995, -3727, -6121, -9273?\nAnswer: -13279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 2. Let u(j) = -17*j - 8. Let f(p) = -9*n(p) - 2*u(p). Let d = -1 + 2. Calculate the remainder when f(-2) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**3 + k**2. Suppose -6*q + 15 = -q - 5*g, 0 = -2*q - 2*g - 10. Let i be h(q). Suppose -i*u = 3*u - 682. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**4 - 18*l**3 + 57*l**2 + 3*l. Let v(o) = -2*o**3 + o**2 - o. Let q(p) = d(p) + 3*v(p). Factor q(i).\nAnswer: -3*i**2*(i - 2)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 24974298*c - 51976296716067.\nAnswer: -3*(c - 4162383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -y, 0*y + y - 4*j + 4 = 0. Suppose y = -v + 1 + 3. Solve 2*a + 0*a = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 6*g**2 - 6*g - 5. Let p(z) = -3*z**3 + 7*z**2 - 7*z - 6. What is -5*c(m) + 4*p(m)?\nAnswer: -2*m**3 - 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -4*d, 2*g + 2*d = g + 4. Let m = g + 2. Suppose o + m*c = -0*c + 39, o - 4*c = 23. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3813727\/32948 + 1\/8237. What is the second smallest value in -0.3, i, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 128*m + 38736. What is p(-143)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-203*k - 442*k - 52*k)*(3 - 3 - k) to w*k**2 + x*k + d and give w.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 4. Let m be j(-2). Suppose m = -2*h - 3*s + 656 - 180, 12 = 3*s. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79, 117, 177, 253, 339, 429, 517?\n\"Answer: -d**3 + 17*d**2 - 6*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven eighths of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1010012202 (base 3) to base 4\nAnswer: 11120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89554550 or -268663646\/3?\nAnswer: -268663646\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 24. Let g = -13 + 23. What is the remainder when c is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5110 + -5112. Suppose 0 = 4*l + 2 + 2. Which is the third smallest value? (a) l (b) t (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12247245 is divided by 1482.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -19*g**2\/2 + g + 20. What is n(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28776307+-0.4\nAnswer: -0.68776307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(a - 3 + 3)*(2*a**4 - a**4 + 2*a**4).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25309.\nAnswer: 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117846 is divided by 58918?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*q - 36. Suppose 3*m + 0*m = 0. Suppose m*l - 16 = -q*l. Solve -2*p = l*x + 8, 3*p = -7*x + 2*x - 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0*l)**(-43))**(2\/13) assuming l is positive.\nAnswer: l**(-86\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-66))\/((-47)\/(-5170)))\/(8\/(-4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, l: 1, a: 1, f: 1, p: 2}. What is prob of sequence apqf?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 228083 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 93*s + 56006. Determine t(122).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4215 - 3770. What is the remainder when w is divided by 187?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.9 + 27. Round f to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 3058*(-780)\/(-48840).\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -961, -1063, -1321, -1801, -2569, -3691, -5233?\nAnswer: -7261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 178659.9ms?\nAnswer: 2.977665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12864*p**2*t**2 + 11537*p**2 + 4*p*t + 3*p + 3*t wrt t?\nAnswer: -25728*p**2*t + 4*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(7\/77)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 1:58 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (26 + -14 + -15 + (9 - 2) - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(24) - sqrt(132)\/sqrt(108)) + ((1 + sqrt(11))*-3 - 2*sqrt(44))**2.\nAnswer: 253*sqrt(11)\/6 + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179857039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s - 259. Let g be z(-28). Let j be -2 + -4 - (g - (2 + -3)). Solve k - 77 + 78 = j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3\/3 + 4*s**2 + 7*s + 3. Let q be o(-7). Suppose 3*t = -t + 40. Solve -2*n - t = -q*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*b - 4*c + 8, -4*b = 2*c + 32. Let r(p) be the first derivative of p**2 + 16*p + 1705. Determine r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423197575.\nAnswer: 5, 17, 101, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120065484 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 2*t**2 - 4*t + 1. Let k be x(3). Let y be (2\/1)\/((-2)\/k). Suppose -g = -y*w + w, 2*w = -g + 12. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12131003 (base 4) in base 14?\nAnswer: -98c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*s + 1)*(-s + 0*s + 2*s)*(-25*s**2 - 42 + 42).\nAnswer: 75*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104, 118, 132, 146, 160, 174?\n\"Answer: 14*b + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125749259, -251498526, -377247793, -502997060, -628746327, -754495594?\n\"Answer: -125749267*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 1. Let b be z(0). Let o = -102 - -101. What is the nearest to b in 3\/2, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 7*x**2 + 6*x - 8. Let u be h(-9). Calculate the highest common factor of 40 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58577 milligrams in kilograms?\nAnswer: 0.00000058577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4) + 6 + -2. Suppose -4*d + 20 = -4*l, 2*d = d + 4*l + c. What is the third derivative of 0*q**2 + 0*q**5 + d*q**2 - q**5 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 943.99 - 949. Let s = -0.01 - v. Suppose -2*z + 7*z = 5. What is the closest to -1\/2 in z, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 - 26*v + 19. Let p be o(8). Suppose -2 = -p*b - 2*i, i = 4*b + 2*i - 1. Solve r + 3*r + 16 = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/90 and -67\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606908 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47154 + -50270?\nAnswer: -117444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 3*j + 3. Let v(r) = 11 + 4 + 4 - 18. Let t(n) = n + 4. Let b(i) = t(i) - 5*v(i). Determine -a(g) - 3*b(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 46*k**2 + 10*k + 41. Let z(x) = 2*x**2 + 18*x + 32. Let v be z(-3). Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26176 or -10.265?\nAnswer: -10.265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13217, 497 in descending order.\nAnswer: 13217, 497, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from {g: 3, c: 4, p: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 295, 521, 891, 1405, 2063, 2865, 3811?\n\"Answer: 72*d**2 + 10*d + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*(-3)\/(6*1). Suppose 0 = 4*z + 3*q - 3, c*z - 4*z = 3*q + 18. Factor 12*m**2 - 2 - 42*m**4 + 6*m - 18*m**5 - 20*m**z - 2 + 2.\nAnswer: -2*(m + 1)**3*(3*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1091141*z**3 + 82963*z**2 + 323.\nAnswer: 6546846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5 - 10. Let r be (-274)\/(-6) + (-3)\/(-9). Let n = r - w. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28506948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3345\/7, -4\/9, 5, -0.8, -0.2?\nAnswer: 3345\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) -15\/4 (c) 0 (d) 5\/8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140635959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*f = -169 + 140, -3*f = 5*q - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.045, 0.1, 0.03, 0.4, 0.2?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lpllllllpl?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 32919*g - 1127336. Determine q(34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 323135247.\nAnswer: -323135238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 14, -130*l + 5*n + 2675 = -125*l. What is the least common multiple of l and 236?\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w)\/w)**(4\/29)*(w**(-5)\/w*w)\/w**(-1\/4) assuming w is positive.\nAnswer: w**(-567\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -26998673.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/48 and -53\/4895628?\nAnswer: 19582512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369637.\nAnswer: 369637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006616 to six decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -15.89. Let p = 4.89 - b. Suppose -v + 10 = 13. What is the biggest value in 6\/7, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82196 (base 11) to base 5\nAnswer: 12320031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:36 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, 702, 1506, 2326, 3168, 4038, 4942?\n\"Answer: d**3 - d**2 + 790*d - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155b (base 15) to base 12.\nAnswer: 27a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*0.371.\nAnswer: 0.4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = z + 3*v - 10, -18 = -4*z + 2*v. Solve z*d = b - 4 - 9, 2*b - 3*d - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 3324*u**2 - 540392*u - 2619360.\nAnswer: -4*(u + 5)*(u + 214)*(u + 612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 7*f**2 - 4*f**2)*(-4*f**2 + f**2 + 2*f**2) + (8 - 8 + 5*f)*(3*f**3 + 3*f**3 + 0*f**3).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 5*y + 1. Let t(c) = 6*c**2 + 12*c - 2. Let z(l) = 3*t(l) + 7*u(l). Let k(i) = i - 1. Let h be k(3). Determine z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/85 at most -12400\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 146699, 293347, 439941, 586481, 732967?\n\"Answer: -27*b**2 + 146729*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(5\/(15\/2)). Suppose m = 3*p - 2*p. What is the common denominator of (p\/(-20))\/(-1)*114\/9 and 35\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107731 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g**5 - 5*g**3 - g**2 + 5*g. Let x(q) = 20*q**5 + 7*q**3 + q**2 - 7*q. Let o(m) = 7*w(m) + 5*x(m). What is the third derivative of o(s) wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 6983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/11)*v*(v*v**(-17)*v)\/v)\/(v**(1\/35))**(-35\/4) assuming v is positive.\nAnswer: v**(-637\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -516706 - -5679154\/11. Let w = -419 - j. Let m = 8.8 - 9. Which is the second biggest value? (a) m (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 16*z**2 + 19*z + 24. Suppose -4*s - 2*c + 67 = 21, 2*c + 80 = 5*s. Let i be f(s). Let t = i - -202. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 3)*(3 - 3 - p) + 0 - 4*p + 0 - 4 + 4 - 5*p as k*p + s and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*a - 17381*a**2 + 874*a - 1767*a.\nAnswer: -17381*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 118\/(-380)*((-2)\/(-3) - 0) and -57\/2.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -5, 8.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -166, -4, -5, 5 in descending order.\nAnswer: 5, 1, -4, -5, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 695 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxtd when four letters picked without replacement from {x: 2, t: 1, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4*52\/91. Let w(y) be the second derivative of -y**3 + 3*y + y**u - y - y. Give w(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1058)\/57661 - 652\/109\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 15. Suppose -4*z + 54 = 2*v - 24, -121 = -3*v - 4*z. What is the remainder when v is divided by y(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112001012001 (base 3) in base 13?\nAnswer: 223939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, n: 5}. What is prob of picking 3 n and 1 f?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -178, -684, -1528, -2710?\n\"Answer: -169*m**2 + m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 0)*((-3)\/(-1) - 5). Suppose k*z - 48 = 4*m, 3*z - 50 + 9 = -2*m. Let a = 15 + -10. What is the remainder when z is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 - 5*n**2 - 5. Let y(t) be the third derivative of -3*t**6\/40 - 11*t**5\/60 - 11*t**3\/6 - 3*t**2. Calculate -6*y(j) + 13*z(j).\nAnswer: 2*j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a - 517 - 53 = -4*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/4, 6\/5, -0.12 in descending order.\nAnswer: 6\/5, -0.12, -1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -1\/2*d**4 - 37 - 1\/6*d**5 - d**2 + 5\/3*d**3 + 1\/120*d**6 + 0*d. Give t(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6148741\/80 at most 76860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1117591, -1117607, -1117623, -1117639?\nAnswer: -1117655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o - 5*x - 20, -14 = 2*o + 4*x. Let n = -1575 - -1572. Let h be o + (n - -6) + (-2)\/(-4). Is h less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 9}. Give prob of sequence uun.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6882, 6805, 6686, 6531, 6346, 6137, 5910, 5671?\nAnswer: 5426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p - 2*w, 0*w = p - 2*w. Suppose 0 = 6*n - 2*n + 5*o + 15, p*o + 6 = 0. Let s(m) = -m**3 + m**2 + m - 1. Determine s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-2)*((224\/8)\/7)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 128 and 17672437.\nAnswer: 17672565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + ((-358)\/(-8592) - (6 + (-998)\/(-48))).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.7 + -13. Let x = n - -0.3. Let t be 3\/(-15) + 24\/(-120). What is the closest to t in x, 2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31975 is divided by 205.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3763997*k + 3763997*k - 146*k**3.\nAnswer: -146*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-6))**(-16)*c**2*c**(-14) assuming c is positive.\nAnswer: c**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 71. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 16*q. Solve w - 13 = -y + 4*w, q = 3*y - 2*w - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, 1\/5 in decreasing order.\nAnswer: 20, 4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 6:57 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x**3 - 2*x**2 + 5. Let r(a) = 11*a**3 - 109*a**2 - 2 + 110*a**2 - 6*a**3. Determine 4*o(m) + 11*r(m).\nAnswer: -m**3 + 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 148\/48)*3. Is 3\/5 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149403143, 298806283, 448209423, 597612563?\n\"Answer: 149403140*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2539987385.\nAnswer: 5, 13, 39076729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 + 575240*z - 16545052880 = 0.\nAnswer: 57524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m - 5\/32*m**4 - 29*m**2 + 3\/80*m**6 - 3\/8*m**3 - 1\/448*m**8 + 0 + 1\/280*m**7 + 1\/40*m**5. Let y(n) = 0. What is n?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 134 (b) 0.1 (c) 16 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -893137*w**2 - 1002604*w?\nAnswer: -1786274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 + 45*k + 131. Determine l(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91790936771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -2, -18, -3, 0, -5 in descending order.\nAnswer: 0, -2, -3, -5, -18, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*t + 12, -4*i + 10 = 2*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 6*g + 5*g)*(745*g + 81*g**2 - 1 - 745*g) + (-3 + 2*g**2 + 3)*(2 - 2 + 8*g) to the form w*g + m*g**3 + z + c*g**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-4\/9)))\/c)\/c)**(2\/39) assuming c is positive.\nAnswer: c**(-28\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86559130 times -0.1\nAnswer: 8655913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlljjlllljlj. What is prob of picking 1 j and 3 l?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61087.50929 - 61088. Let v = 165.49 - 165. Let n = v + s. Round n to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/(-15))\/(200\/48))\/(1\/70)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 - p**4\/4 + p**3\/2 - 3*p. Let b be n(2). Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14*(-3)\/(-126))\/(1\/(-3)). Let t be 10\/2 + -2 + 1. Put t, -4, v, 5 in decreasing order.\nAnswer: 5, t, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11461*t - 2. Let h(l) = 2*l**2. Calculate h(n(y)).\nAnswer: 262709042*y**2 + 91688*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 936*s + 1835*s + 140544 + 64510 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318494733 and 3907.\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19551)\/(-2401) + (-7 - (-3)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 4*x)*(116*x - 189*x + 190*x) + 6*x**2 + 2 - 2.\nAnswer: -345*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/480 and -73\/3120.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -0*z, -5*o - 11 = -2*z. Let f be -4*o\/48*0. Find the third derivative of 2*r**6 - 3*r**6 + f*r**6 - 2*r**6 - r**2 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*f**3 + 25*f**2 - 25*f**2)*(0 + 0 - f) + (205*f**3 + 2*f**4 - 4*f**4 - 179*f**3)*(0 + 0 + 1) as v*f**2 + l + g*f**3 + k*f**4 + d*f and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*((-35)\/65)\/7.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/127908 and -175\/4488?\nAnswer: 255816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - (11 - 1)) + 4654?\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/181 (b) -2 (c) -257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 12*k**3 - 11*k + 17*k**3 + k to b*k**3 + f*k + g + p*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/396 and -5\/156?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 2*g + g + (-1 + 5 - 5)*(0 + 0 - 2*g))*(-142 - 118 + 51)*(1 - 4 + 4) in the form o + p*g and give p.\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 6. Let o be f(-3). Let q be (o - 11)\/((1\/4)\/1). Suppose q*s = -0*s + 484. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2643, -2617, -2591?\n\"Answer: 26*d - 2669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.871 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 20\/(-6) - 5. Let z be ((-4)\/(-33))\/((-2)\/(-3)). Which is the smallest value? (a) z (b) 1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(270\/9)\/(-450)*-2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 304121?\nAnswer: -304125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112 and 9?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(8\/((-168)\/(-35)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*r + 46 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -150961 and -1.\nAnswer: -150962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkttvtjttjkktjv. What is prob of sequence ttkj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1016 + -11?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596725373.\nAnswer: 3, 532241791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i**5 + 6980*i**4 - 320896*i**3 + 4085228*i**2 - 4694608*i + 923312 = 0. What is i?\nAnswer: 1\/4, 1, 23, 26, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27362911*y**5 + 6*y**2 - 9*y - 944?\nAnswer: 1641774660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1029*h*k*m + 10*h*k - 475*h*m + 2*k**2*m - 1680003*k**2 wrt m?\nAnswer: -1029*h*k - 475*h + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -727 - -712 - (0 + -53)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -263, -2\/5, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((5 - (-8)\/(-2)) + -2)*1. Let c(x) = -22*x**3 - x**2 + 1. What is c(g)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260 + 366. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-20))\/((-142)\/(-9656)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39e - 721?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(76) + -2 + 1 + sqrt(76)) + (4*((sqrt(475) + 1 - sqrt(475))*6 - sqrt(475)))**2.\nAnswer: -940*sqrt(19) + 8171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24108 and 19065.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3*v + 7*v)*(-4 + 13 - 3)*(v**2 + 3 - 3)*(2 - v**2 - 2) + 2*v**2 - v**5 - 2*v**2.\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3547, -3, 5, 2, -112, 0 in descending order.\nAnswer: 3547, 5, 2, 0, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/672265 and -63\/7190?\nAnswer: 1344530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(133\/(-112)*-12)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 - (2 - 0))\/1 is divided by 15\/6*16\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 369*g + 74532. Calculate f(-202).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187\/(-935)*6\/(-4))\/(9\/(-184)) + 6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/7 and 127\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 32*q**6\/9 - 32*q**5\/5 + 3*q**4 - 4*q**3\/9 - 14. Factor z(w).\nAnswer: 4*w**2*(w - 1)*(4*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 507867276 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 0.5, 4, -568 in descending order.\nAnswer: 4, 0.5, 0.4, 0, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 2. Suppose k = -2*j + 32, 5*j + 3*k = -k + 83. Let t = j + -18. Calculate h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -784*p + 10786. Determine h(13).\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 15. Let u(c) = -1. Calculate 2*u(b) + x(b).\nAnswer: 2*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 17. Suppose 28 = 2*g + 10. Let z be v(g). Let m(n) = 6*n**2 - 9*n + 9. Let j(q) = q**2 - q + 1. Calculate z*m(o) - 9*j(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*m**3 - 33*m**3 + 53*m**3 - 2)*(3*m - m - 3*m).\nAnswer: 6*m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 - 108*s + 42. Give q(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)\/(sqrt(6) - sqrt(6)*-2))\/(sqrt(36)\/sqrt(4)*3))**2 + ((2 + sqrt(162) - sqrt(162)) + 0)**2 + -1 + 3)*-1.\nAnswer: -488\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/24 + 5*v**3\/6 + v**2. Let h = 13 + -11. Suppose 0 = -h*q - q - 12. What is k(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45045 divided by 1365\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565*f**5*u**3 - 707*f**4 + 5*f**2*u**3 + 52*f**2*u**2 - 228*u wrt f.\nAnswer: 33900*f**2*u**3 - 16968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38\/3*h**3 + 50\/3*h**2 + 8\/3 + 32\/3*h + 2\/3*h**5 + 14\/3*h**4 = 0 for h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9 = -16. Suppose -3 - 117 = -4*o. Let c = o - 27. Put 0, g, c in decreasing order.\nAnswer: c, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2 - 3*w - 4*w)*(4*w - 3*w + 0*w).\nAnswer: -9*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33421952*z**3 - 28613659 with respect to z.\nAnswer: 100265856*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 - 5*y**2 + 4*y**2)*(-3 + 4 - 2)*(2*y - 2 + 2) + (2 + 6*y**2 - 2)*(-y - 6*y + 0*y) to c + j*y**3 + l*y + b*y**2 and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59259374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20201022 (base 3) to base 4\nAnswer: -1030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 1*(sqrt(539) + 0) + sqrt(539) - sqrt(539) - ((sqrt(539) + 0 + sqrt(539))**2 + -5)) + (sqrt(11) + sqrt(99) + 0 - sqrt(55)\/sqrt(45))**2.\nAnswer: -18028\/9 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - (-2766)\/18*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.022 + 55.022. Which is the third biggest value? (a) h (b) -4 (c) 2\/9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -2)\/(4\/14). Let p be ((1 - 3) + 8)*q\/4. Let k = p - -13. Which is greater: -15\/2 or k?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + 0 - (2 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136498997333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3100 + -2146?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -2545?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759, -3147, -7129, -12705, -19875?\nAnswer: -28639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:04 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (68 + (-28 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154, 3934, 10242, 19078, 30442, 44334?\n\"Answer: 1264*z**2 - 12*z - 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + 114*b**2 + 2388*b - 27. What is n(-17)?\nAnswer: 7062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + -25. Let o = -36 - c. Let y(z) = 17*z + 21. Does 13 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.93, -5, 4, 54\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60559469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 4*k - 6. Let g(j) = -3*j**2 - 3*j + 5. Let a be (-4)\/(2 - 10)*0. Suppose a = -0*v + v - 5. Determine v*d(b) + 6*g(b).\nAnswer: -3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a1c (base 15) to base 5.\nAnswer: 1414102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250830 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.179 - 800.9?\nAnswer: -813.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*x**2 - 6)*((-x + x - x**2)*(-x + 0*x + 3*x) + x**3 - x + x + 0*x**2 + 0*x**2 - x**3 - x**3 + 0*x**2 + 0*x**2).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 116.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllg when four letters picked without replacement from {g: 1, o: 8, l: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (1 + 4*sqrt(11))) + sqrt(11) - (sqrt(1584) + 3 + sqrt(1584)) - ((-1 + sqrt(99))**2 + 4)*1.\nAnswer: -108 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (2 - 1)*78. Let k = b - -76. Solve -k = -4*f - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34778395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -13. Let g = 1579 - 1580. Let n be g*(q\/5 - 1). Put -4, n, -2 in descending order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(3\/(-1)*(-8)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + -32. Let s = 352 - k. Suppose 4*a = 4, -5*v + a = -256 - s. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 2*p + i + 8, 2*i - 175 = 3*p. Let d(f) = -70*f**2 - 2*f + 2. Let u be d(1). Let b = p - u. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 1. Let a(s) = 6*s + 52. Calculate -a(t) - 4*u(t).\nAnswer: 2*t - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 559*t - 3159. Let j be h(5). Which is bigger: -369 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - y**3 + 0 + (-3*y + 3*y - 2*y**2)*(-39917 + 39917 - 4*y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -12 - (2 + 1 + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 37*v**3\/3 + v**2 + 223*v - 245. Find the first derivative of h(z) wrt z.\nAnswer: 74*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36711, 73421, 110131, 146841, 183551?\n\"Answer: 36710*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6964900 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40592 and 414454468?\nAnswer: 10148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) + -3*sqrt(33))*-2)\/sqrt(3).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*i = -45, -4*l + 23548*i - 20 = 23546*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -89, -195, -339, -521, -741, -999?\n\"Answer: -19*l**2 - 11*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4013\/4 + -1019. Let u = s + 16. Let g = -1973\/9 + 219. Which is the smallest value? (a) u (b) g (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d1 - -27b?\nAnswer: 35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((10\/(-68))\/(1520\/912))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 8*r**2 - 6*r - 2. Let a(m) = m**2 - 10*m + 6. Let t be a(10). Let u(v) = 2*v - 3. What is the remainder when o(6) is divided by u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1090 = 5*t, 3*p - 8*t + 3*t - 1630 = 0. Suppose 52 = g - p. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*g - 119*g - 323*g - 463*g)*(2 + 3 - 4).\nAnswer: -823*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -427, 2, -2 in descending order.\nAnswer: 5, 2, -2, -6, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 s when four letters picked without replacement from {s: 3, z: 3, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2455 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 516*n + 3753. Calculate i(-179).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80, 161, 242, 323, 404?\n\"Answer: 81*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53707 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 49*x**2 + 14*x**2 - 131*x**2.\nAnswer: -166*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 12) in base 16?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 22 = -5*m - 8*h, 2*m - 9 = h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 101001100110101000000 (base 2) to base 7\nAnswer: 14405350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*w + 3*w**2 - 3*w**3 + w**2 + 146*w as c + y*w + m*w**3 + d*w**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3449*i**3 - 23*i + 87. Let l(y) = -17246*y**3 - 119*y + 436. Let u(t) = -4*l(t) + 21*z(t). What is the second derivative of u(g) wrt g?\nAnswer: -20670*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 + -4 + -5 - 13) + 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y. Let o be (-3)\/(12\/236)*-1. Let j = -14 + o. Let q(c) = 45 + c - j. Calculate q(w(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -138 and -138 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 46 + o - 2*o**2 - 62*o to p*o + m + d*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6170 + 6172. What is the nearest to -134 in 4, -5, -0.1, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -188, -501, -1178, -2351, -4152, -6713?\nAnswer: -10166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 8. Suppose j*w = 5*w - 44. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**3 + 2*s**2 + 11*s - 8. What is the thousands digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15) + -2)*(-15)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23155 - 23155.000001873. Round y to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2)*((-1161)\/210 - 1760\/(-320))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35656.4396 to the nearest one hundred.\nAnswer: -35700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 997*s - 1000*s - 20, 0 = -3*s + z - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikic when four letters picked without replacement from {c: 4, i: 2, k: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.58 + -285.72. Let i = 310 + s. Which is the nearest to 12? (a) 1 (b) i (c) -0.5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22339 is divided by 5107.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4060763525?\nAnswer: 5, 7, 13, 254993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1544 divide 80479456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:16 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let b = 3 - s. Suppose b*o - 24 = -0*o. Calculate the lowest common multiple of o and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i - 9*i - 8*i - 108 + 24*i - 8*i. Let g be c(-12). Is -150\/13 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -91807, -91805, -91803, -91801, -91799, -91797?\n\"Answer: 2*m - 91809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/5117 and 73\/255.\nAnswer: 76755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -7502 - 16978. What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4, 0*d - 5*d = -4*y - 16. Let w = -3.4 - -3.602. Let h = -0.202 + w. What is the biggest value in 0.4, -2\/7, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 5. Let a(f) = -2*f**3 + 8*f**2 - 6*f + 2. Let x(c) = -3*c**3 + 15*c**2 - 12*c + 4. Let o(s) = i*a(s) + 3*x(s). Suppose -2 = z + 4. Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 - 4*z + 3. Let w be f(-4). Suppose w*m + 3 = -9. Suppose -6 = -0*c - 3*c. Put -5, c, m in decreasing order.\nAnswer: c, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 4 - 7 + 0 - 2*u. Is d(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34250 - -85696. What is the ten thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5977 + 5980. Let r = -32 - -161\/5. What is the second biggest value in o, r, -3\/7, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7*o**3 + 90*o - 6*o**3 + o**3 + 11 - 92*o.\nAnswer: -12*o**3 - 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -15, -24, -33?\n\"Answer: -9*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1291, -2588, -3897, -5224, -6575, -7956, -9373, -10832?\n\"Answer: -i**3 - 1290*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g - 15*g - 2*g**3 + 4 - 3 as a + s*g**3 + p*g + k*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nma when three letters picked without replacement from {y: 1, m: 1, o: 1, a: 2, t: 1, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 16\/(-2))\/(-7 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 148.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 + -1087\/3. Let p = -576\/11 + 5305\/99. What is the common denominator of p and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 27, 11, -43, -147, -313, -553?\n\"Answer: -2*s**3 - s**2 + 27*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2888 and 7?\nAnswer: 20216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*i**3 - 175 + 175 + 2*i**2.\nAnswer: 81*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.4 - -7.53. Let m = r + -0.13. Which is the nearest to -3? (a) m (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/33, -10, -2\/11, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2965260 divided by -6\nAnswer: -494210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 4 = -2*s - 3*a, 3*a = -s + 14. Suppose 6 = 2*h + h. Find the third derivative of 14*i**2 - 11*i**2 + 22*i**h - 2*i**s - 18*i**6 wrt i.\nAnswer: -2160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-4) - -3)\/14 + (-48)\/672. Solve t = -18*x + 49*x - 93 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6045 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 61547 = 15435. What are the prime factors of a?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 5*z - 12. Let b be j(9). Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = -0*o. Let w(d) = -d**o + d + 3 + d - d. Give w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73171691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-14)\/(-20) - 1). Let n = 791 - 751. Suppose 7*l + 3*l = n. Solve -l*a - 5*h = -x, -2*a = -5*h - 0*h - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmcvzvph. Give prob of picking 1 p, 1 m, and 1 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 41, 85, 135, 185, 229, 261, 275?\n\"Answer: -b**3 + 12*b**2 + 3*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 139 = -11*p. Differentiate -40*z**3 + p + 62 - 11 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b - 2427 + 2427 + 693*b**2 - 717*b**2.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6605, 26397, 59397, 105617, 165069, 237765, 323717, 422937?\nAnswer: 535437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let s(o) = 16*o - 1. Let m(j) = 35*j - 3. Let x(u) = 6*m(u) - 13*s(u). Calculate x(f(r)).\nAnswer: -2*r - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*g**2 - 69*g**2 + 185*g**2 - 57*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4129, -13268, 2?\nAnswer: -13268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145842 and 1407081?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**4 - t**3 - 4*t**2 - 1. Let d(f) = f**4 - f**3 + f**2 - 1. Let n(g) = -4*d(g) + 4*x(g). Find the third derivative of n(z) wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from gfgmffmfm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.45 + 0.05. Let f = -11 - -14. Which is the second smallest value? (a) f (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/84 and -8\/9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 75*f**3 + 39*f**3 - 2*f**4 + 41*f**3 + 2 as u*f + d*f**2 + y + w*f**4 + p*f**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0*l - 5*l + 4*l + 14. Give x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/6*q**3 + q**2 + 1\/60*q**5 - 1\/12*q**4 + 0 + 0*q. Let m be c(3). Solve m*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -p + 14, -5*n - p + 3 = -19. Solve 0*o = -o - 5*u - 6, 4 = -n*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5 + 444*d**4 + 13360*d**3 - 1373324*d**2 - 13362*d + 1372880 = 0.\nAnswer: -131, -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/128338141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h - 2. Let z(r) = 27*r + 3. Let i(p) = 5*x(p) + 3*z(p). Let y = 73 - 68. Suppose -2*a = y*u + a - 11, 2*a = -5*u + 9. Calculate i(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 3*a**2 - 4*a**2 + a**2 - 3*a**2 + a**2 + (a + a - 4*a)*(2*a + 2*a - 2*a))*(4*a + 2*a**2 + 4*a**2 - 8*a).\nAnswer: -18*a**4 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d)\/(d*d**(-2)*d)*d*d**(3\/8)*d*d\/d**(-2) assuming d is positive.\nAnswer: d**(475\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 7484, -12, 3, -3 in decreasing order.\nAnswer: 7484, 3, -1.1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2583.0294 months?\nAnswer: 0.21525245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258757 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*s - 2*s. Suppose -6*p = s - 123. Factor -22*q**5 + 2*q - q**2 + 43*q**5 - 6*q**3 - q**4 - p*q**5.\nAnswer: q*(q - 2)*(q + 1)**2*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 - 6) - -19) + 6\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let q = -0.14346 + 2.14346. Sort q, b, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + 15. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**4*o - 12*j**3*o**2 - 3*j**2*o**2 - 12*j**2*o + 2*j*o wrt j?\nAnswer: -72*j*o - 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/4254 + -1423\/4254. Which is the nearest to i? (a) 3\/31 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.7. What is the nearest to -0.1 in -1, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**5\/x*x)\/x**(-4))\/((x*x*(x\/x**(-4\/5))\/x)\/(x\/(x\/x**12))) assuming x is positive.\nAnswer: x**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 29*q**2 + 4*q + 24. Is 26 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18358112 times 1\nAnswer: -18358112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3*c)**34 assuming c is positive.\nAnswer: c**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/12 - 9*b**2. Let w(r) = -17*r**2 - 5. Let p(h) = 8*h**2 + 3. Let k(v) = -5*p(v) - 3*w(v). Give k(g(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/135 and 4 + (-18700)\/1782 + 7.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 + -130. Solve p = 7*x - 4*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2 + 20. Suppose 9*x - 10 = 7*x. What is the remainder when n is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 74. Solve -x + 4*d + 3 = k, -4*x + 3*d + 6 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssdsdd. Give prob of sequence sd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-2)\/(-4)). Which is smaller: b or 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13230 (base 6) to base 7.\nAnswer: -5634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 25*b + 12 - 27)*(-17*b + 17*b - 17*b**2) as c*b**3 + k*b + x + i*b**2 and give c.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1011011010111000100?\nAnswer: -1011011010111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 19. Let z be 6 - 14\/(-6) - (-6)\/9. Give t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**8))**(-6\/13))**(-2\/29))**43 assuming h is positive.\nAnswer: h**(-4128\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 846406507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 14, b: 2, h: 1}. Give prob of picking 2 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + l - 4*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**3 - 9*y**2 + 8*y - 8. Let q(a) = 5*a**3 + 3*a**2 - 3*a + 3. Let u(t) = -3*p(t) - 8*q(t). What is the third derivative of u(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 6*m + 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2, 1, -1\/1151 in decreasing order.\nAnswer: 2, 1, 2\/9, -1\/1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 6. Let i be t(0). Let f(p) = p - 6. Let l(j) = j - 5. Determine i*l(r) + 5*f(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 654146*w**4 + 37638*w - 1 wrt w.\nAnswer: 7849752*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let t(l) = -1. Let p(b) = -11*b - 3. Let m(a) = 43*a + 11. Let o(u) = -2*m(u) - 9*p(u). Let r(k) = 3*o(k) + 15*t(k). Calculate r(c(v)).\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*c + 62*c + 192*c in the form u*c + a and give u.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = 0, 0*k = 2*d + k + 1. Let j = d - 4. What is the units digit of (-1)\/((-1)\/j*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 24 - 32. Suppose -3*k - 2 = 7. Let d be (-9)\/(-3)*(-2)\/k. Solve 0*g + 22 = -d*l + 4*g, -j*l + 3*g = 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n*n**5)*n)\/n*n*n*n*n*n*n\/((n*n*n**(6\/13)\/n)\/n)*n*(n\/n**(-1\/12))\/(n*n\/((n*n**7)\/n)*n) assuming n is positive.\nAnswer: n**(1189\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206589 or 1?\nAnswer: -206589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -212.\nAnswer: -3\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, v: 5}. What is prob of picking 4 v?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5\/6 + 4*h**4\/3 - 5*h**3\/6 - 19*h**2\/3 - 4*h = 0?\nAnswer: -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 21*f**2 - 1172*f - 1425. Let r be c(57). Find u such that -2*u**2 + r + 0*u + 2\/11*u**3 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -51)\/(6\/66). Suppose 4*v - z + 173 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4699 + 4674. Which is the fourth smallest value? (a) -6\/7 (b) 2\/9 (c) 1\/5 (d) x (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*t + t = -8, 0 = 2*j + 3*t. Let k = j - -4. Let o be -1*(0 - k) - -4. Solve b - 12 = -o*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9474081 is divided by 722.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58224708*g**3 - 15*g + 2005335.\nAnswer: 349348248*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezlseex. What is prob of sequence slz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-52.599.\nAnswer: -52.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i - 142*i - 178 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1243122561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*f + 53, 0 = -3*k + 2*k - 5*f - 23. Let a = k - -39. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 11*k - 180. Suppose -11 + 1 = -k*y. Solve 3*w + d = 14, -y = 2*w + 2*d - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*b = 35, -2*v + b + 8 = -0. Let z = 40 + -23. Suppose -3*y - z = -5*i - 6, -5*y = i + 9. Sort -4, v, i in decreasing order.\nAnswer: v, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 20*z**2 + 16. Let n(u) = 4*u**3 + 61*u**2 - u - 48. Let y(a) = -2*n(a) - 7*s(a). Is y(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88.26739l?\nAnswer: 88267.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 111554\/28 + (-6 - (-2158)\/364). Calculate the greatest common factor of p and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i + 110. Let k(b) = 47*b - 405. Let m(p) = 11*d(p) + 3*k(p). Let l(x) = -5*x + 3. What is -7*l(s) - 4*m(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 11 - 15 = -u, 0 = 5*u + 4*t + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:51 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24748, -49493, -74234, -98971, -123704?\n\"Answer: 2*l**2 - 24751*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 133, 199?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1480*j - 1. Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*u = -15, -97*u + 102*u + 0 = 3*d - 39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 314403648 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*((sqrt(832) + sqrt(832)*3 + 0)*6)**2.\nAnswer: -2396164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t + 8. Let x be a(6). Does 22 divide x*(-3)\/6*22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -38) + -8 - (-2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + -0.2. Let l be (2\/(-3))\/(38\/(-6) - -7). Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -157*b + 631. Let w be k(4). Let y(q) be the second derivative of 8*q + 0 + 1\/9*q**w + 0*q**2 + 1\/120*q**5 + 5\/72*q**4. Factor y(g).\nAnswer: g*(g + 1)*(g + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51 - 73*t + 26 + 30*t with respect to t.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 854\/887107 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48608083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9797 and 24347?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*s + 2193 = -82*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -86. Let j(n) be the first derivative of 1652*n - 1652*n + 24 + n**p - 13*n**2. Find the second derivative of j(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 645*g*m**2*u + 96*g*m**2 - g*m + g*u - 94*g + 4*m**2 + 4*m*u - 30*u wrt u?\nAnswer: 645*g*m**2 + g + 4*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 + 6*p + 2. Let d(g) = 19*g**2 + 13*g + 6. Determine 7*b(r) - 3*d(r).\nAnswer: 6*r**2 + 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -7.591?\nAnswer: -3.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409420 plus 268692?\nAnswer: -2140728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 73*d**3 - 1110*d**2 - 13086*d - 30. Give y(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (10 - 21) + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 3*s**3 - 3*s**3 - 2*s**3 + 3*s**3 - 5*s**3 + (-3*s**3 + 2*s**3 + 2*s**3)*(-1 - 2 + 1) + 192*s + 198*s - 380*s + 2*s**3 + 1.\nAnswer: -2*s**3 + 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffuufafkkfua. What is prob of sequence ua?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*x = d + 1564, 1250 = 4*d - 2*x. Suppose -4*v = -3*y + 490, -d = y - 3*y - v. Let j = y + -91. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from ahp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(112\/(-12)))\/(2 - 5). Let t = -1528 + 1528.2. Let p = 0.2 - 0.3. Which is the second smallest value? (a) q (b) p (c) 2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 10 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 204676535988 and -191?\nAnswer: 204676536179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - 48*s - 383. Calculate j(-8).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 444?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*m - 22*m + 163*m**3 + 303*m**4 + 3 - 163*m**3 wrt m.\nAnswer: 3636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -987799536 divided by 2\nAnswer: -493899768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 55*v**2 - 13*v - 14. Let k(h) = h**3 - 27*h**2 - 7*h - 8. What is 3*d(r) - 5*k(r)?\nAnswer: r**3 - 30*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 4710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = 96*d - 47*d - 5141. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493 is divided by 973.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8575?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9310 + 52374 = -769*m for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9968864 millilitres in litres?\nAnswer: 0.0009968864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215114793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -21.6. Let u = 49.4 - 49. Let y = w - u. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 - 7)*(4*i**4 - 5*i**4 + 0*i**4 + (2*i**2 - 2*i**2 - 2*i**2)*(-i + i + i**2)) to the form j*i**2 + w*i + m + t*i**4 + d*i**3 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 999 - 6608 - 2247 - 2*q**2 to y*q**2 + f + o*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 212, 1795, 6148, 14675, 28780, 49867, 79340, 118603?\n\"Answer: 234*c**3 - 19*c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/29 (b) 2\/7 (c) 3 (d) -0.03 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2738*x**2\/11 + 3108*x\/11 - 882\/11.\nAnswer: -2*(37*x - 21)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-6)*18\/15. Suppose 1 = -q - v, 5*x + 40 = -3*q. Does 13 divide (-15)\/(-25) - 127\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541589580.\nAnswer: 2, 3, 5, 7, 229, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-10.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45037485 is divided by 6250.\nAnswer: 6235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + j - 63, k + j = 6*j. What is the remainder when ((-14)\/3 + 0)\/(k\/(-45)) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 + 90. Let k = 36 + -60. Is k at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2 = -6064. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/10 - 5*j**4\/12 + 5*j**3\/6 + 7*j**2\/2 - 97*j. Let i(b) = -b**2 + b. Calculate -5*i(l) + y(l).\nAnswer: -2*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 58*y**2\/3 + 398*y\/3 - 114.\nAnswer: 2*(y - 19)*(y - 9)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32467.\nAnswer: 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1091*d - 11647. List the prime factors of r(-24).\nAnswer: 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from dppypddppppydppp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 248 = 283 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-11) + ((-35436)\/66 - -7). Let r = 642 + p. What is the smallest common multiple of 10 and r?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4700 divided by -10.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-10)*220\/22. Let y be 8 - (-3)\/(21\/i). Calculate the greatest common divisor of y and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 166 in 6, -2\/3, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*5 + (sqrt(15)\/sqrt(3) - sqrt(5)) + -5 + 5 - ((sqrt(240) - 3*sqrt(240))\/sqrt(12) - (-4 + (sqrt(100)\/sqrt(5) - sqrt(20)))))**2.\nAnswer: 128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euvvefqfvle. What is prob of sequence fqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13 = r, r = 3*d - 14 + 2. Let l(s) = -s - 9. Let x be l(r). Suppose -q - 2*q + 84 = x. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppaphahhahhpaapaahp. What is prob of sequence aa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 46 - 119 - d.\nAnswer: -d - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-4 + -3) - 10\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 43*a - 39*a = -16, 2 = 2*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(77) - (sqrt(77) - 1*sqrt(77)) - sqrt(77)) + sqrt(77) + sqrt(77))\/sqrt(11) + 0 - ((-5 + sqrt(63))*4 + 5))*-1.\nAnswer: -15 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032353 plus -1?\nAnswer: -1.032353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083 - 506 + 4389 = 191*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16889828*c**5 + c**3*o**2 - 562552*c**2*o + 11*c*o**2 wrt c?\nAnswer: -1013389680*c**2 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 15 = -11. Solve 4*w - o - 5 = -4*o, w = -4*o - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 16?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 567, 2337, 5281, 9393, 14667, 21097?\n\"Answer: -x**3 + 593*x**2 - 2*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7659899 to two decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*t + 2, -f = 4*t + t - 22. Suppose f*m - 12 = -m. Find the third derivative of 3*b**2 + 0*b**m + 4*b**4 + 0*b**2 wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 - 1 = 0. Calculate the remainder when 2 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 11:12 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (882\/420)\/((-7)\/(175\/(-15))).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 49*d**2 + 2*d. Let a(v) = -4 + 29*v + 28*v - 58*v + 20. Give a(n(s)).\nAnswer: -49*s**2 - 2*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 587586 divided by 14?\nAnswer: 293793\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 + 0 - (9 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*d + 126, -d = -2*d + 4*r + 45. Let s = d - 37. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose -r = -0*q + 3*q, 0 = 4*q - 12. Let h be ((-8)\/(-12))\/((-6)\/r). What is the closest to f in -6, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - 92071?\nAnswer: -9203a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*i + 66 = -6*i, 4*y + 5*i = 222. What is the highest common divisor of y and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let w(f) = -f. Let t(k) = -2*b(k) - 5*w(k). Let s(h) = -h + 1. Let a(c) = -3*c**2 - 2*c + 2. Let p(r) = a(r) - 2*s(r). Calculate p(t(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + y - 4 + 8.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6 + 15)) + (12 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-117)\/(-12) + (-5)\/(-20). Suppose -c*b = 2*b - 48. Solve 0 = -3*t - 9, p - b*t - 6 = 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3870?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47466, -47467, -47468, -47469, -47470, -47471?\nAnswer: -47472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 2, 5, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*(-1653)\/(-10469)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 215448060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810346 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/256849?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l**2 + 16*l**2 + 4*l**3 + (2*l + 2*l - 2*l)*(2*l**2 + l**2 - l**2)*(-42 + 23 - 20) to the form u + k*l**3 + o*l**2 + w*l and give k.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4169215431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*b - 166*b + 8 + 6.\nAnswer: 7*b + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-375)\/45 - -5)\/(4\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1837, 7773, 17665, 31507, 49293, 71017, 96673?\nAnswer: 126255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*l + 23*l + 39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 33. Let g be 2\/(-9) + 190\/45. Solve -l = 3*h + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 1. Suppose -j + 2*j - p = 0. Suppose 3*i - 2 - 8 = 4*w, 0 = 4*i + 4*w - 32. What is the highest common divisor of i and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11379*q + 60300*q - 13117*q + 32841*q.\nAnswer: 91403*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 8. Let i = -152.26 - -148.26. Which is the second biggest value? (a) i (b) 4 (c) -2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xysxd. Give prob of picking 1 s, 1 x, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v + (-3*v + 0*v + 5*v)*(0 - 5 + 3))*(0*v - v + 2*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1672, -5, -0.2, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/25 + (-16)\/(-10). Suppose l*b = -b. Let w(f) = -f**2 + 2*f + 4. Let i be w(3). What is the second smallest value in b, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 11. Calculate the remainder when 40 is divided by (-214)\/(-10) - (-3 - (-34)\/u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1459?\nAnswer: 2918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109664 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1527818446 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 7*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401895294?\nAnswer: 2, 3, 66982549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j*j\/(j**(2\/5)*j))*(j\/(j**(-4)\/j)*j)\/j*(j**1*j)\/((j*j\/j**(-1)*j*j)\/j*j)*(j**1\/j)**4*j**3\/(j*j**(3\/2)\/j) assuming j is positive.\nAnswer: j**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:19 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -b6?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/27 and 1\/(-1 + 680\/(-55)).\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4398 = 4398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8\/21 - -5\/7. Let k = -0.31 + 0.11. Which is the nearest to -2? (a) k (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/6 - (-155)\/15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**7*j)\/j)\/(((j**(3\/5)*j)\/j*j)\/j))**(-23) assuming j is positive.\nAnswer: j**(-736\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2827936 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/70324750 and 81\/1654700?\nAnswer: 140649500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 104\/28 + -3 + (-561)\/714\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + 8 + (0 - 1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, i: 4}. What is prob of sequence nnii?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o*p**3 + 2160*o - 755*p**3 + 2*p**2 wrt p?\nAnswer: 30*o - 4530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6987 - 6987 + 13972 + 4481*g as i*g + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*w - 0*o - 25, o + 6 = w. Suppose -w = -2*a - t, 0*t - 4*t = a. Suppose b - 104 = -f - a*f, 5*b + f - 640 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/50, 13, -0.5, -2\/3, 1, 8\/45?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/(sqrt(3)*2))\/(-1*sqrt(144) + sqrt(144) + sqrt(144) + sqrt(9)))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 - 6*c + 9. Let z be t(-7). Solve -1 = 4*r + o, z*o + 3 = -7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 - -199. What is the nearest to -0.2 in 3, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 37. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**3 - 208*f**2 + 7*f - 399. Calculate r(21).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c477 (base 14) in base 12?\nAnswer: 176a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * -4959051.\nAnswer: 1586896.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5 = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -35 - (9400 + -9431).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*v - 8*v. Calculate the greatest common factor of v and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 6*r - 10. Let t(w) = w**3 + 2*w**2 + 11. What is the remainder when t(0) is divided by m(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from usuxrxxzrxzxzruuhxxr?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8089 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 75, 30, -14, 1, -1 in ascending order.\nAnswer: -14, -2, -1, 1, 30, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187278823 to the nearest integer?\nAnswer: 13685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 + 0*k**2)*(0*k + 2*k + 2*k) + 2*k**3 - 3*k**2 + 55 - 4*k - 55 + (-2 + 5 - 1)*(6*k**3 + 0*k**3 - 4*k**3).\nAnswer: 10*k**3 - 3*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r - 4. Let y be s(-3). Suppose -q = 2*b - 15, 5*b - y = 5*q + 7. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/4 - 179*s - 23835\/4 = 0.\nAnswer: -681, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 2*t**2 + 0*t**2)*(-51 - 88 - 21)*(-15*t - 54*t - 2*t).\nAnswer: 22720*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 5204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 0 - 16\/5*t - 386\/5*t**4 + 126\/5*t**5 + 268\/5*t**3 + 8\/5*t**2 = 0.\nAnswer: -2\/9, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457330?\nAnswer: 2, 5, 7, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, l: 3, v: 1, p: 1, m: 1, n: 2}. Give prob of sequence vpm.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20666.\nAnswer: 2, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 81\/8 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 13*c**2 + 33*c - 33. Suppose -9*f - 15 = -6*f, 5*f = 4*r - 85. Let u be l(r). Solve -2*i = 3*n + i + 6, -3*n - i = u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 24*p + 42 = -0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.94. Let w = -0.102 - y. What is w rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.045444 and 0.2.\nAnswer: 0.154556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 13.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 - 506. Which is the second biggest value? (a) 0.051 (b) -1 (c) k (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339618.\nAnswer: 2, 7, 103, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3909*s + 23585. Give z(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0333, 3, -288, -1.3, 2, 0.4?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -438400 and 0.2?\nAnswer: 438400.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -138?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1009 and 0.3453.\nAnswer: 0.2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -19.54. Let d = x + 0.04. Let h = -3.32 - 4.68. Which is the smallest value? (a) d (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 15 + (-3 - 4) + (8 - 3 - -3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 14224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 61. Solve 0*b - b - 5 = -3*p, 0 = -2*p - 5*b - h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.21 in 136, -2\/13, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*b**2 + 124*b - 124*b)*(5 - 5 + 4 + 2*b)*(-1 + 4 - 4).\nAnswer: 578*b**3 + 1156*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:58 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 2*n**2 + 8*n**2 + 45*n**2 + 10*n**2.\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, -2, -10, -20?\n\"Answer: -t**2 - 3*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7233.4 - -7217. Which is the nearest to -8\/3? (a) -2 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/19 + 1016*b\/19 - 129032\/19.\nAnswer: -2*(b - 254)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080454 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 1\/3, -0.2, -2\/7 in decreasing order.\nAnswer: 1\/3, -0.2, -2\/7, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(220)\/(sqrt(80)*2))\/(-2*-1*(sqrt(8)\/sqrt(2)*4 - sqrt(4) - sqrt(4))))**2.\nAnswer: 11\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from qqkqo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 164?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8420, -8286, -8062, -7748, -7344, -6850?\n\"Answer: 45*k**2 - k - 8464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -184, -387, -578, -751, -900?\n\"Answer: y**3 - 210*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, p: 11}. Give prob of sequence qqqp.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) -23 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by -3.\nAnswer: 247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62201009 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 minus -0.48?\nAnswer: -301.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 8. Let h be n(-18). Suppose h*c = 9*c - 3. Let b be (c - (1 - 4))\/((-4)\/(-2)). What is the nearest to -2\/9 in 4, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*47\/10575*1\/2*9.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1617)\/(-154)*(-3)\/(18\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20\/13, 0, 2\/3, 6, -51?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*n + 824, -5*n - 4*i = 523 - 1517. List the prime factors of n.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309*g**3*v**2 + 7*g**3 + 2*g**2*v**2 - 2*g**2*v - 28*g**2 + 18*g wrt g?\nAnswer: -1854*v**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304920 divided by -2.\nAnswer: -152460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 5, g: 4}. What is prob of sequence gkkx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032313 + 2?\nAnswer: 1032315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(37\/296)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9444 + 0.0556. Which is the nearest to 0.1? (a) y (b) 5 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 258 (b) 0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvd when three letters picked without replacement from {d: 3, t: 4, c: 2, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013238 is divided by 2432?\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -33*f - 137. Give b(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101508 - -12771181.\nAnswer: 12872689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*28.46.\nAnswer: -11.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -75. Let r be -4 + ((-136)\/(-32) - y\/4). Let z be (-6)\/(-8) + -2 + 1. Which is the nearest to z? (a) -2 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 83b?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 10. Let m(v) = 1 + 7 - v + 8 - 9. Let h be m(5). Solve 6 = h*r - d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541253 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 126819?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/6 + 4*v**3 - 10*v**2. Let w be r(11). Suppose i - 184 = -i - 4*t, 4*t + w = i. Is i a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwctcttwttwtttwwtt. What is prob of sequence twtc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70679042 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 13*b - 2391. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1063317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80 - (6 + 15\/(-5)). What is the highest common divisor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:15 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28357.\nAnswer: 7, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5146 and 806?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93549345 by 5.\nAnswer: -18709869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8607 by -453.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111101 (base 3) in base 12?\nAnswer: -1a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 0, -4*l + 0 = 4*a - 4. Suppose l*t = -5*z - 0*t + 84, -t = -4*z + 57. Let j = 2 + 4. Calculate the remainder when z is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1009, -2011, -3001, -3973, -4921, -5839, -6721?\n\"Answer: p**3 - 1009*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q. Let k(a) = -4*a + 1. Let r(m) = 4*k(m) + 5*w(m). Let g be r(2). Let i(s) = -s**3 + s**2 - 2*s + 1. Give i(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29121511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2454965614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10 - (397602\/3240)\/199.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 51 = 5*t. Suppose 22 - 30 - 111 = 119*m. Sort -5, t, m.\nAnswer: -5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/7)*d**(-5\/4))\/((d\/(d\/(d\/d**(-42))))\/(d*d**(-32))))**48 assuming d is positive.\nAnswer: d**(-25044\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - y)*(y**2 + 2 + 0 + 1) - 3*y**3 + 5*y**3 - 5*y**3.\nAnswer: -4*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -50, 7, -2, 2 in descending order.\nAnswer: 7, 2, -2, -3, -9, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -495285*t**5 - 635*t**2 - 94.\nAnswer: -29717100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317749662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 16459675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11130 - -13?\nAnswer: 11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/55622 and 27\/635680.\nAnswer: 4449760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -29?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 4*o + 0*o + (0 + 1 - 5)*(-2 + 2 + 3*o) + 0*o - 2*o + o)*(-2 + 4 + 2).\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -1.1, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - -132) + -279 - (1 - 35).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-154))\/(24\/(-9)*(-22)\/528).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 + 3*k - 1. Let f be d(-4). Suppose 0 = f*x + x - 40. What is the least common multiple of (3 + -23)*5\/(-20) and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.24 + -10. Let f = -0.44 + o. Which is the nearest to 0.1? (a) 1\/2 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 53 = 2*n, -14*n - 13*n + 25*n = -18*z - 338 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - t = 17, -120*t - 9 = -4*k - 115*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.138 times 19578\nAnswer: 2701.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 3*i**5\/40 - i**3\/3 - 20*i**2 + 252. Let h(d) be the third derivative of q(d). Let k(g) = -2*g**2. Calculate k(h(t)).\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9*i - 7*i = 35, -109 = 3*c - 4*i. Let h = 123 + -80. Let u = h + c. Solve 5*b + 2*j = -10, -4*b - u - 4 = -2*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 14*a + 34. Let d be l(12). Find the common denominator of (-970)\/(-50)*4\/48*d and -81\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p + 15. Let l(r) = -r**2 + 4*r + 2. Let h be l(4). Let y = h + p. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -291681\nAnswer: 1\/97227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d - 21. Calculate w(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143658.\nAnswer: 2, 17, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/4 - w**3\/3 - w**2\/2 - 16. What is s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 11)\/(1\/(-9)). Let i = k + -7. Suppose -t - i*t = -69. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.38 (b) 1\/18 (c) -34 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -267000 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206313 is divided by 307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (56116\/14)\/((-25)\/(2625\/(-30))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35318 and 336050?\nAnswer: 300732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/24 + 3*f**5\/4 - 45*f**4\/8 + 45*f**3\/2 - 17*f**2. Factor a(m).\nAnswer: -5*(m - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocbbtox. What is prob of picking 2 o, 1 b, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 2. Let d be t(-4). Suppose -169 = 19*z + 2. What is the tens digit of 3184\/72 - d\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -28*i - 1. Let x(j) = 96*j + 9. Give 4*b(c) + x(c).\nAnswer: -16*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-24 + 18)) + 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 98 - (24 - (-49 - 101))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5138 - -5139. Let z be (-23)\/(-3) - 4\/6. Let i(w) = -30*w**2 + 10*w + 4. Let v(f) = -20*f**2 + 7*f + 3. Let k(u) = z*v(u) - 5*i(u). What is k(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.4, -76, 1\/25, -12 in decreasing order.\nAnswer: 1\/25, -4.4, -12, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 12*o - 10*o)*(1 - 4 + 1).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6672*q - 25. Let b(r) = 35505050*r + 133040. What is 5*b(x) + 26608*l(x)?\nAnswer: -3326*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feebfebffbfbewefe. Give prob of picking 1 e, 1 b, and 1 f.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*p - 72 = -220*p. Factor -32*v - 16\/5 - 324\/5*v**3 - 468\/5*v**p.\nAnswer: -4*(v + 1)*(9*v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oem when three letters picked without replacement from ceecgugmgcccecgo?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001013637738 rounded to 6 dps?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l**(-3\/7)*l))*l*l*l**(-7\/4) assuming l is positive.\nAnswer: l**(23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Find the first derivative of -7487 - 1059*q + 4056*q + 3522*q + 1518*q + 859*q wrt q.\nAnswer: 8896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 38*f**3 + f**2 - f - 1. Give a(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose 5*o = 2*j + k - 17, -2*o - 12 = -2*j. What is the remainder when 11 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, h: 3, c: 8}. What is prob of sequence chfc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r**2 - r)*(0*r + 2*r - r)*(-9*r + 22*r - 4*r).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 80*u = 1360 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r - 50. Let a be (-4)\/2*(-13 - -11). Suppose -v = 3*p - 16, -a*v = v - 5*p - 20. What is the smallest common multiple of v and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -0.21 (c) -4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 1 + 6)*(-10*p**5 + 4*p**5 - 5*p**5).\nAnswer: 275*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*s - 44680, 0 = -3*f + 2*s + 44678 - 111622. Are -22320 and f non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 702, 4, 3 in descending order.\nAnswer: 702, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:15 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/24 - n**3\/2 + 2*n**2. Let h be s(-5). Let u = -4 + 3. Sort u, -5, h in increasing order.\nAnswer: -5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 306, 267, 228, 189?\n\"Answer: -39*n + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 6*f - 3. Let p be b(-7). Suppose 0 = -5*u + p + 26. Calculate the least common multiple of 7 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 38*q - 40*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4701 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57636 divided by 3.\nAnswer: 19212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -281\/381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - s + 160 = 0, -13 = -n - 2*s + 42. Determine l, given that -49*l + n*l + 7*l**5 - 8*l**3 - 3*l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 2. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6*17\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/210 and 47\/108080.\nAnswer: 324240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2063.8793 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24640 divided by 560\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -24, -32, -44, -60, -80, -104?\n\"Answer: -2*n**2 + 2*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 21, 31, 45, 63, 85?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30870 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4 - 2996*a**2 + 1230*a.\nAnswer: -12*a**2 - 5992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11824 + 5275 - 6*w + 2722.\nAnswer: -6*w + 19821","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4030 and 143.\nAnswer: 44330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -60, -34, 6, 60, 128, 210?\n\"Answer: 7*i**2 - 9*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 17}. Give prob of sequence bb.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/509298 and 34\/87?\nAnswer: 509298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/13 + 2092\/(-2288) and -63\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 15*f**2 + 0 + 0*f + 1\/285*f**6 + 1\/114*f**4 + 0*f**3 + 3\/190*f**5. Solve s(q) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -13*j**2\/2 - 100. Let p(q) = 6*q. Give -3*o(r) - 7*p(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*i - 22, -36*i + 31*i = -10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 1788*u**2 + 264615*u + 536406 = 0 for u.\nAnswer: -2, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -25*p**2 + 0 - 115\/6*p**3 + 25\/12*p**4 - 17*p. Factor d(f).\nAnswer: 5*(f - 5)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 14) in base 2?\nAnswer: 1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155 + -1208958471825.\nAnswer: -1208958471980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*i + 4*i + 12, 5*i + 7 = -3*y. Let w be 18\/(-99) - y\/55. Let p = 25 - 20. What is the smallest value in p, -7, w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - q + 419 = 7*j + 339, -5*q - 359 = 3*j - 73 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475101, -950199, -1425297, -1900395, -2375493, -2850591?\n\"Answer: -475098*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-28)*819\/(-3042)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 0*j + 6*j - 2 - 4. Determine g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 954*a**3 + 40*a**4 - 37*a**4 - 77*a**3 - a**2 + 740*a**3 + a + 156*a**3 in the form c*a**4 + l*a**2 + f + o*a + p*a**3 and give p.\nAnswer: 1773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 23. Let h(w) = -5*w + 34. Let j(l) = -5*h(l) - 8*t(l). Let s be j(-12). Solve 0 = -5*z + 20, 3*z = 3*b - s*z + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + f = -59442, 2*j - 820 - 38808 = 3*f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w + 1. Let g(x) = -5. Suppose -3 = m + 5. Let s = 5 + m. Let a(r) = -r**3 + r - 6. Let y(c) = s*g(c) + 2*a(c). Give 3*i(p) - y(p).\nAnswer: -p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42848 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1406, 1405, 1404, 1403, 1402?\n\"Answer: -i + 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n + 4. Suppose -v + 2*p - 4 = 0, 3*p = -v + 2*p + 5. Suppose -v*z = -0*z. Let a be o(z). Solve -a*h = 4*x + 6 - 2, 4*x + 2*h - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -0.800996911.\nAnswer: -5.800996911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 2 + (3 - 2). Suppose 4*u + a = 20. Solve u*f + 11 = -3*d + 5*d, 5*d = -10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-4)*3\/6*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 13*l + 16 + 182 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*g**3 + 225774*g**2 + 3*g + 3718992.\nAnswer: 108*g + 451548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**2 - 2301*l**6 + 4079*l**6 - 4*l**2 wrt l?\nAnswer: 213360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16687642 and 16687640 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2. Let u(q) = 6298*q. Determine u(y(w)).\nAnswer: 25192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1201*b - 379*b - b**2 + 14*b**3 - 6*b**4 - 418*b**3 - b**2 wrt b?\nAnswer: -144*b - 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19552)\/624)\/(((-28)\/98)\/(3\/(-7)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 23*t**2 + 18*t**2 + 5*t + 2*t in the form w*t + p + c*t**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1870.7 + -1871. Which is the third smallest value? (a) -2\/7 (b) -1\/17 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21\/2)\/h*h**(9\/4)\/h)**(-40) assuming h is positive.\nAnswer: h**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/19 + 62*z**3\/19 - 318*z**2\/19 - 1358*z\/19 - 980\/19 = 0.\nAnswer: -35, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 7:57 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 910, 3\/11, 1 in descending order.\nAnswer: 910, 1, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3201702 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 t when four letters picked without replacement from {z: 3, c: 8, t: 2, o: 2, p: 2, r: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11031322020 (base 4) in base 10?\nAnswer: -1367688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - q. Let k be i(1). Let y(a) = 3*a**3 - a**2 + 1. Let w be y(k). Suppose w*d - 20 = d. Calculate the remainder when 19 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 876?\nAnswer: 14892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 172*s - 6. Let v(a) = -6378*a. What is v(q(x))?\nAnswer: -1097016*x + 38268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h**3 + 3*h**3 + 0*h**2 - 10 + 2 - 10*h**2.\nAnswer: 62*h**3 - 10*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:41 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhbbhb. Give prob of sequence hb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**4 + 40*h**2 + 5*h + 5. Let q(j) = 12*j**4 + 39*j**2 + 6*j + 6. Let n(v) = -5*q(v) + 6*u(v). What is the third derivative of n(o) wrt o?\nAnswer: 432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o - 129 - 18*o + 129 as g*o + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15417\/8 or -1927?\nAnswer: -1927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxl when three letters picked without replacement from yxlykyyayykkcccyck?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 203838 and 0.5?\nAnswer: 101919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 48 = 2*d - 2*x, -31 = 2*d - x. Let g = 46 + d. Suppose 0 = 12*l + 12 - 1908. Calculate the remainder when l is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 3)\/(4 + (-18)\/5). Solve n*s - 29 = -0*s + q, -3*q - 12 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174644*j**3*l + j**3 + 269991*j**2*l + 2*j**2 wrt j?\nAnswer: -1047864*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 3\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = 3*l. Let p(i) be the second derivative of 0*i**l + 1\/3*i**3 + 2*i + 0. Let b(k) = -3*k. Calculate p(b(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.042 + 0.342. Which is the smallest value? (a) -0.4 (b) l (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2240248859 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 29*x - 5 + 29*x)*(-6*x**3 + x**3 + 4*x**3).\nAnswer: -2*x**5 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/5 + 2*q**4 + 51*q**3\/5 + 68*q**2\/5 + 28*q\/5 = 0.\nAnswer: -2, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*x - 21. Suppose -2*v = 5*a + 9, 0 = 4*a + a + 15. Suppose -v*w + 3 = -x. Solve w*c + 4*l + 16 = -l, 3*c - 4*l - 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-1 + 1 - 2*u**2) + 122660 - 122660 - 534*u**2 - 5*u**2 + u**2 + 2*u**2 + 2 - 2 - u**2.\nAnswer: -541*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/744 + ((-7625)\/(-366))\/125.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(3*b + b - 3*b) - 2*b + 0*b + b)*(-3*b + 4*b + 6*b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 8 + 2 - 4 + 21. Let m be h(-7). Let u be (2\/m)\/(9\/(-81)). Put u, 3, -5 in descending order.\nAnswer: u, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2020650 and 1230.\nAnswer: 82846650","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 4014, -2\/7, 4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -4*x**6\/15 - x**2\/2 - 3*x. Let s(n) = -4*n**4. Let q(a) = -4*i(a) + 7*s(a). What is the first derivative of q(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7784593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z + 1. Let s(b) = 6*b**2 - 9*b + 9. Let l(c) = -2*c - 5. Let x be l(-3). What is x*s(t) - 9*j(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2. Let n(k) = -25*k**2 - 11. What is n(h) + 3*z(h)?\nAnswer: -28*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 69371\/8 - (-4)\/(-8). Let p = 8660 - l. Find the common denominator of p and -113\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m = 71 + 589 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:32 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 2 - (-7)\/5. Is d greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -33. Is j at most as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 14*i + 71. What is the units digit of v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:02 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105945634507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 = -4*a - c - 403, -2*a + c - 17 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(-2)*15\/((-150)\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 136610, 136611, 136612, 136613?\n\"Answer: a + 136609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13752.99891 minus 8?\nAnswer: -13760.99891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 2.656194?\nAnswer: -0.7968582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6399969 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (110\/4 - -1)*(-39608)\/74265\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 12*f - 4. Determine s(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + 1.7. Let l = 413\/213 + -114\/71. What is the nearest to -1 in 3, 2\/3, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 17*w**2 - 15*w - 253. Let k be j(-17). Solve k*f - 2*b - 8 = 0, -3*f + 21 + 1 = -5*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/12 - 4*g**3\/3 + 50*g**2. Give z(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + g = -52. Suppose -7*l + 2*l = 0. Solve m - 5*b + 5 = 18, -m + g*b + 11 = l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/305, -4, -2\/9 in descending order.\nAnswer: -2\/305, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + 2 + (-5 + (sqrt(7) - (sqrt(7)*2)**2) - (sqrt(105)\/sqrt(5))\/sqrt(3)) + 2*sqrt(175)*3.\nAnswer: -28 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2037\/(-392)) + 15\/40 + -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129517755*v + 311925720?\nAnswer: 129517755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 3*w**2 - w. Suppose 45 = 5*b + 150. Let g = b - -26. Let u(s) = -3*s**3 - 5*s**2 + 2*s. Calculate g*m(v) + 3*u(v).\nAnswer: v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 12021*r**3 + 12020*r**3 + 4*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/101, -0.4, 193, 6?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 30.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*j - 12. Let v be (1 - 3) + 1 + 0. What are the prime factors of j + 1 + v\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2427*c**2. Let l(g) = -2*g**2. Determine r(l(i)).\nAnswer: 9708*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8794433.\nAnswer: 601, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 4\/3, 5, -1\/5, -4.\nAnswer: -4, -3\/5, -1\/5, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -559, -956, -1301, -1600, -1859?\n\"Answer: -w**3 + 32*w**2 - 486*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 42 = j + 5*i, -2*i - 4 = 0. Let g = 36 + j. Suppose 5*c = 2*b - 125, -5*b = -2*b - g*c - 177. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 16416*k + 49284.\nAnswer: -4*(k - 3)*(k + 4107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {g: 3, u: 6, q: 1, a: 7}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 6*u + 7*u + u**2 - 12*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3700*u. Let b(f) = 3*f**2. What is b(j(d))?\nAnswer: 41070000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 - 373*m**2 - 273*m**2)*((0*m - m + 2*m)*(-1 - 4 - 1) - 2*m + 0*m + 4*m) to the form z*m**2 + r*m**3 + u + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135360 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14688823 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*65*117\/15. Let g(i) = 28*i**2 - 7*i - 8. Let w be g(-1). Suppose 30*f - w*f = x. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1549 (base 14) to base 13\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 1 - 4*v**2 + 5*v**2)*(-1460*v + 1460*v + 69*v**2).\nAnswer: 138*v**4 - 69*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m - 4 = 0. Suppose m - 2 = 2*p. Suppose p = 3*k - 209 - 271. Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) 0.18 (b) 2\/15 (c) -25 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.76 + 36.76. Let p = 0.4 - 3.4. What is the second smallest value in p, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57967 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b + -53c?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 4, 2*q + 4 = u. Suppose -2*g - 38 + 2 = q. Let y be 1\/(-4) + g\/(-8). Solve 6*h = 3*h + 4*s + 6, 11 = y*h - 5*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 - 2*r. Give a(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*p - 1837*p - 811*p - 1155*p + 675*p.\nAnswer: -3544*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 485869908.\nAnswer: 1457609724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {h: 8, m: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.1 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 6:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 6*a**2 + 2*a + 6.\nAnswer: -2*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-25))\/w*w**(9\/5))**(9\/2) assuming w is positive.\nAnswer: w**(-522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 12*l - 4. Let v be n(4). Let f(b) = -b**2 - 10*b + 6. Let c be f(v). What is the greatest common divisor of 30 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1148 divided by -164.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1302 and 294.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:29 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 3*q**2 - 3*q + 8. What is g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139027\/45694 + 6\/2077. Suppose 3*h + 213 = 4*k, 2*h + 2*h + 2*k + 284 = 0. Calculate the common denominator of r and 4\/(-88)*(2 - h).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -1212, -1768, -2306, -2820, -3304?\nAnswer: -3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 8*n - 119. Let r be (0 + 1)*(4 + -4)\/n. Solve r = -0*d - 6*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at least -343\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*-1.8\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 3*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001302 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1926 - -6.8524. Let n = o + -0.145. Let t = n + 3.1. Is t less than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from cflflc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8379 - 16761 + 3*b + 8391 + 81*b**2 as j + s*b + r*b**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-7*k**3 - 10 + 10).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 388 + -388. Which is the nearest to 1? (a) 5 (b) -0.4 (c) r (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/237225 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*73\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d*d)\/d)\/(d\/(d*d**(-2\/7))) assuming d is positive.\nAnswer: d**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 7284 in ascending order.\nAnswer: 0, 5, 7284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -679642207, -679642208, -679642209, -679642210?\n\"Answer: -g - 679642206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101661 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - q**2 - 29*q**3 - q**2 - q + 2*q**2. Is i(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (sqrt(847) - (sqrt(847) + sqrt(847) + (sqrt(847) - sqrt(847)*1) + sqrt(847) + sqrt(847))) + 4.\nAnswer: -22*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-5)\/(-3 - -8)). Solve h = -d + 9*d - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 42. Let a be (-4)\/(-10) + (-9504)\/160. Let v = a - -71. Calculate the remainder when q(v) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23376\/7 - 3346. Let b = 2\/545 + -6011\/4360. Find the common denominator of o and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85845043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 146, 218, 282, 332?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -1) + 252 + -208.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/9 + 100*z\/9 + 184\/9.\nAnswer: 4*(z + 2)*(z + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -643, -586, -505, -394, -247, -58, 179?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 6*s**2 - 6*s. Let t be 7\/(-14) + 13\/(-2). Calculate c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*u**5 - 15*u**3 + 557*u**2 + 815*u**2 + 12*u**4 - 22*u**5 - 37*u**3 - 21*u**4 wrt u?\nAnswer: -180*u**2 - 216*u - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2465*k + 2697*k - 7795*k + 2635*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhmfaasw. What is prob of picking 2 a and 1 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -780, -664, -356, 240, 1220?\n\"Answer: 16*v**3 + 4*v - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6012\/5 at most -1203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4128, 8266, 12306, 16200, 19900, 23358, 26526?\nAnswer: 29356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20408.55 to the nearest one hundred.\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -28. Let f(b) = 3*b**2 - 18*b + 17. Let u be f(z). What is the greatest common factor of 245 and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -7 + -2 + 20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1500)\/250)\/(8*7)*210\/12?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 12:14 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let f = 2 + -2. Let h be (3\/(-4))\/((-1)\/4). Let o(z) = 3 + f*z + 4*z - h. Give o(k(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*p - t + 238, 308 = 5*p + 4*t. Let g be ((-1)\/3)\/((-4)\/p). Let v = -3 + g. What is the smallest value in v, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569 = -5*j + 2*u + 1498, 0*j - 3*j = 2*u - 63 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -95727310.\nAnswer: -95727312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 5, x: 2, z: 1, y: 3, r: 8}. Give prob of picking 1 z, 1 x, and 1 r.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**3 + 7*j**2 - 7*j - 3. Let k(h) = 2*h**2 + h - 3. Let t be k(2). Let l(b) = 24*b + 5 + t*b**3 - 4*b**2 - 3 - 20*b. What is 4*g(q) + 7*l(q)?\nAnswer: -3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 16800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-20 + (-458)\/(-10) - 11)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -361*f**4 + 2*f**3 - 13*f**2 - 2 wrt f.\nAnswer: -8664*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6890 divided by 106.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941207.4ml to litres.\nAnswer: 941.2074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-96))\/(3\/(-10)) + 3\/6. What is the fifth smallest value in -1\/2, -0.4, -0.3, a, -42\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.9644 rounded to 1 dp?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1188 - -1192. Which is the second biggest value? (a) 8 (b) h (c) 0.3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 894990251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 14) to base 16\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038 = -372*h - 1145 + 695. Let a(v) = 34*v + 128. Calculate a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 - 20 = 0. Let p = 0.05 + 4.95. What is the smallest value in -1\/3, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034788 rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*r - 3855 - 757 = -5484 + 8242 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39755.542 rounded to the nearest 10?\nAnswer: -39760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 1115*g**2 + 4355*g - 5475.\nAnswer: 5*(g - 1)*(g + 5)*(g + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2518835*z + 0 + 2530962*z to x*z + s and give x.\nAnswer: 12127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32212213013 (base 4) in base 3?\nAnswer: 21012111020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 0.41, 1\/4, 4\/5, 4?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8891 - -53213\/6. Calculate the common denominator of x and 5 + (1\/(-11))\/((-28)\/(-560)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.130361 microseconds?\nAnswer: 0.004130361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 63 - 29 + 3*a + (2*a - 5*a + 4*a)*(5 + 30 + 12) in the form g*a + h and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 285511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 200 = -15*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 3512*z\/3 + 2341\/6.\nAnswer: (z + 2341)*(3*z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130794268 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 16*w + 20*w - 12, -2*w = -3*a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 16*r**2 - 14*r - 6. Determine g(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 140 - 4?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 564 - 565. Let k be u - (0 - (-2 - -5)). Solve -l + 3 = y - 2*l, k*y = l + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 121. Suppose -h = -12*d - 11. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 345 in 3, 24, -2, -0.4, 4.3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 4, c: 5}. Give prob of sequence cp.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1975, 7737, 17279, 30601, 47703, 68585, 93247?\nAnswer: 121689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.73394 tonnes?\nAnswer: 6733940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 0*p**2 - p**3 + 5*p**2 - 8*p + 7. Let c be 0\/(-3 + 1) + 6. Is t(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85\/3*c - 88 + 1\/3*c**2.\nAnswer: (c - 88)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**2 + 12*i + 15. Let y(p) = -20*p**2 - 26*p - 31. Let t(v) = 13*h(v) + 6*y(v). Let z(c) = c**2. Give t(z(f)).\nAnswer: 10*f**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/12 + 7*c**3\/6 - 3*c**2\/2 + 2*c - 100. Determine b(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 17588?\nAnswer: -1\/17588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Find the second derivative of -j*u + u**3 + 0 + 0 + 5*u wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2104631 to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 28*n + 107. Let r be b(17). Suppose -4*y = -137 - 395. What is the remainder when y is divided by r*224\/40 + 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 0. Let l be r\/(-21)*3\/1. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287581447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - 0.29. Let b = -10778 - -10774. Sort x, -56, 0.4, b.\nAnswer: -56, b, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-102)\/8 + 2)*-4. Let a = 43 - v. Sort -11, a, -1.\nAnswer: -11, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*v - 5*v - 58 - 226 - 186.\nAnswer: 59*v - 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1907655 divided by -635885.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 = -19. Suppose -32 = m + l*m. List the prime factors of (-108)\/m*4\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5, 4*n + 3*b = 32 + 3. Let h be ((-9)\/(-6))\/((-3)\/4). Let p = h + n. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11362758 (base 9) to base 7.\nAnswer: -65013125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 25*w + 5. Determine n(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q + 28*q - 49*q**2 + 49*q**2 + 30*q**3.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -9 + 6 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 7*d + 35. Let u be 56\/20*(-6)\/d. Factor 3*l - u*l**2 + 3\/5*l**3 - 6\/5.\nAnswer: 3*(l - 2)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11501292119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -587 (base 10) in base 6?\nAnswer: -2415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (50\/75)\/((-1)\/(-12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.4 - -58.3. Let x = n + -30. Which is the fourth biggest value? (a) 3 (b) -0.4 (c) x (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q + 8. Let r be d(-8). Suppose 10 = t - r. Suppose -364 = -38*n + 25*n. What is the remainder when t is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 125*j + 132*j)*(-3 - 2 + 4)*(-4*j + j**4 + j + 6*j).\nAnswer: -254*j**5 - 762*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 - -198. List the prime factors of (25 + v + -5)*(-3)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49345486, 49345487, 49345488, 49345489, 49345490?\nAnswer: 49345491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2457 - 4a?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 77. Suppose -39 = -22*j + h*j. Let s(u) = 6*u - 2. Let v(q) = -4*q + 1. Let f(m) = -5*s(m) - 8*v(m). Calculate f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 16 = -7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 3. Is 14 a factor of b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11 + (-5580)\/(-3069).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11))**(-32)\/(x\/(x*x**0\/x*x*x)*(x\/x**25)\/x) assuming x is positive.\nAnswer: x**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 24 + 11 = -o, -9 = 2*k - o. Let j be k\/(-1) + -5 + 0. Is 2\/j - 2278\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -35*r - 21. Let y(q) = q + 1. Give -2*l(t) - 42*y(t).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7093124, -14186245, -21279368, -28372493, -35465620?\nAnswer: -42558749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/572 (b) 3 (c) -26 (d) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from rrlslssleall.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1157, 33 in descending order.\nAnswer: 33, 16, -1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*q - 11, -5*q + 2*w + w - 17 = 0. Calculate the smallest common multiple of 10 and 10\/((-4)\/(-2)) + q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7827.\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7831, -7844, -7859, -7876, -7895, -7916?\nAnswer: -7939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 130, 165, 200?\n\"Answer: 35*c + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 2*s - 2. Let h be k(3). Suppose d - 6*d + h = 0. Solve d*a + a = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-776)\/(-48) + 19\/(-114) and 376\/(-52) + (4 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Let l(y) = -3*y - 4. Let z = -22 - -50. Let j = z - 25. Suppose j*k - k = -5*f + 33, -11 = -4*k + f. Give k*o(d) + l(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10509324 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-35) + 93\/217.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 7. Let p = 4.1 + g. Let x = p - -1. Which is the third biggest value? (a) x (b) 1\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:27 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14335 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + -38. Let k = r + 52. Which is the closest to 0? (a) k (b) -2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996 + 564 = 5*x. Is 52 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1264, 1, -25, 3\/2, 2\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45893 divided by 5.\nAnswer: -45893\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33170030 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0519*-0.1.\nAnswer: -0.00519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6651*o + 1786. Is g(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 - 407 + 2*h - 56*h**3.\nAnswer: -56*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2428*r - 101983. Let c be w(-42). Suppose 0*m + 16 = -4*m. Let s be ((-6)\/m)\/(2\/4). Sort c, -5, s in descending order.\nAnswer: s, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 342, 1204, 2932, 5826, 10186, 16312, 24504?\n\"Answer: 50*i**3 - 17*i**2 - 3*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**5*y**3 - 19*a**3 + 9*a*y**2 + 17*y**3 wrt a?\nAnswer: 60*a**3*y**3 - 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2. Let t(d) = -1593*d. What is u(t(l))?\nAnswer: -5075298*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -17*d**2. Let h(x) be the second derivative of 0*x**2 + 27*x + 0 - 1\/6*x**3. Give h(s(z)).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 3 + 2*d**3 + 668*d - 672*d as c + x*d**3 + q*d + t*d**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9616 and 580.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 1. Let v = d + 7. Suppose 2*r + r - 72 = v. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182*v**4 - 158 + 199*v**4 + 2*v - 363*v**4 wrt v?\nAnswer: 72*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/(2576\/18000) + 4\/14. What is the highest common divisor of a and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.5457 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 48*o - 3. Let c be m(16). Let s(h) = 3*h**2 + 4*h + 9. Let q be s(c). Solve 0 = 5*k - q - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11884*t + 959*t + 3706*t.\nAnswer: 16549*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 133 + 2d?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(5*sqrt(95)*2 + sqrt(95)))\/(6*sqrt(20)\/sqrt(4) - sqrt(60)\/sqrt(300)).\nAnswer: -550*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 - -0.1. Let p = -39 + 43. Which is the third smallest value? (a) h (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/7, 2\/7, 0.7 in increasing order.\nAnswer: -2\/7, 0.01, 2\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128332, -256678, -385024, -513370, -641716, -770062?\nAnswer: -898408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 9\/53 (c) -2 (d) 1\/10 (e) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -11. Let x(g) = 4*g + 24. Let k be x(6). Let z be (-4)\/14 - k\/(-21). Which is the closest to z? (a) -3 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -1. Let u = l + 12. Suppose 176 = u*a + a. What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 375012 * -0.24.\nAnswer: -90002.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1*sqrt(153)*5)\/(sqrt(81)\/(sqrt(27)\/sqrt(3))) + 2.\nAnswer: -4*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.57 - 143.15. Let m = 156.2 + a. Let l = m - -1.58. Round l to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**6 - 9*a**5 + 6*a**4 + 15*a**3 - 6*a**2 - 591. Determine l, given that z(l) = 0.\nAnswer: -4, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 77*p\/4 - 75\/2.\nAnswer: -(p - 75)*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8503 = -501*k + 76639 for k.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 1:48 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -694016300 to the nearest one million.\nAnswer: -694000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 27.569017 days?\nAnswer: 3.938431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -1\/2 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(1872)\/sqrt(4))**2*1.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11221120122 - 10?\nAnswer: 11221120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 + 2*i + 1\/3*i**3 + 1\/6*i**4 - 2*i**2. What is x in c(x) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 299*r - 8740. Determine h(267).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 700*i**5*o - 178*i**2 + 2*i*o wrt i.\nAnswer: -240*i**3 + 42000*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:19 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 11*b**3 + b**3 + (0 + 0 - 2*b)*(-5*b**2 + 32 - 32).\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 230 + 2b4?\nAnswer: 4e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d - 4*d**5 + 0*d**5 + 0*d wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -260, 0 in decreasing order.\nAnswer: 0, -1, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-2610)\/(-60) - 44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**6\/90 + o**5\/120 - o**3\/2 - 3*o. Let f(h) be the second derivative of r(h). What are the prime factors of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 100966?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*l**2 + 2*h**2*l*s + 19*h**2*s + 77*h*l**2*s + 3*h*l**2 - 5*h*l*s wrt l?\nAnswer: -4*h**2 + 154*h*s + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/7 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 487*p**2 - p + 2370?\nAnswer: 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -216, -365, -490, -597, -692, -781?\n\"Answer: -a**3 + 18*a**2 - 196*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15337 - -28916. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27044116 is divided by 9014705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 70*m - 6. Let b(r) = 348*r - 29. Let x(n) = 6*b(n) - 29*o(n). Let d(f) = 2*f. Determine x(d(s)).\nAnswer: 116*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-5 - (17 - 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 + 1 = -2*x, -5*x - 51 = -4*o. Let z = 7 + x. Let f = 1.97 + 0.03. What is the third biggest value in f, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -7, 2, -600 in increasing order.\nAnswer: -600, -7, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - c**3 - 53*c**4 + c**3 + 49*c**4 - 2 to the form k + u*c**3 + j*c + d*c**4 + q*c**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 45 = -0*n. Let l be n\/5*(-2)\/(-6). Suppose -g = l*d - 50, 3*d + 3*g + 0*g - 42 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -6, 4*a = -2*i + 5 + 17. Let j(b) = -b**2 + 7*b + 2. Let t be j(a). Suppose -t*n - 36 = -4*f, 2*f - 38 = -2*n - 2*n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + n**2 - 6*n + 119. What are the prime factors of y(0)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/4)\/(1\/4). Suppose -4*v = -7*m + 3*m + 8, 4*m - 6 = 5*v. Suppose 45*j - 43*j = m. Sort -2, j, t in descending order.\nAnswer: t, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 6805*s. Let t(f) = -4137*f - 1. Calculate t(r(m)).\nAnswer: 4137*m**2 + 28152285*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)\/p)\/p)**(11\/3)\/((p\/(p**17\/p))\/(p**(-18)*p)) assuming p is positive.\nAnswer: p**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c = -45*c - 2788. Let w be 38\/14 + c\/238. Let -j**2 - 2\/3*j + 0 - 1\/3*j**w = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2295*z**4 + 7131*z**4 + 3367*z**4 + 275*z**4 + 2092*z**4)*(2*z + 3*z - 2*z + 4*z - 3*z - 2*z + (-1 + 2 + 1)*(0 + 0 + z)).\nAnswer: 42280*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-31 - -41)*(-22)\/(-5). Which is greater: i or 40?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3583*d**2 - 2041*d**2 + 6811*d**2 to the form u*d + y*d**2 + n and give y.\nAnswer: 8353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6923222 rounded to two dps?\nAnswer: 5.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a\/(((a*a**(-1\/5))\/a)\/a))\/(a**0)**(-44) assuming a is positive.\nAnswer: a**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2. Let m(w) = w**3 - 5*w**2 - 7*w + 8. Let v be m(6). Suppose 4 + v = 3*z. Let c(j) = z*j + 15 - 15. What is c(o(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 6*x**4 + 2*x**4 + (-15 - 106*x + 38*x + 30*x)*(-4*x**2 + 4*x**2 - 2*x**3) to o + q*x**3 + r*x**4 + w*x + t*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9757182 divided by 2?\nAnswer: -4878591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -686*w**3 + 12*w - 92*w**3 - 368*w**3 - 372*w wrt w.\nAnswer: -6876*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7706, 7660, 7614, 7568, 7522, 7476?\nAnswer: 7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17332 = 147*l + 191*l - 4826 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 9) in base 11?\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.62772ns in minutes?\nAnswer: 0.000000000510462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1716)\/(-104)*(-1638)\/429?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 10:12 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (493 - 13)\/(-20) + 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from nvxvjvvvnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 15. Let f be c(6). Suppose 0 = f*l - 2*l - 14. Suppose -k - k = -l. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35aa (base 11) to base 10\nAnswer: 4718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5412 + -5409. Let g(r) be the first derivative of -19\/4*r**4 + 27*r + 0*r**2 + 0*r**a - 19. Differentiate g(n) with respect to n.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/3, 5, -100 in ascending order.\nAnswer: -100, 0, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z. Let y(i) = -27*i - i + 10*i + 10*i. What is 11*x(k) + 6*y(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = p + 2*l, -1 + 2 = -5*p + 2*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8) + (0 - 0). Let d = 2 + -1.6. Which is the smallest value? (a) d (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*i - 1962*i + 581*i + 713*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 - 7*p**5\/60 + 7*p**4\/24 - 4*p**3\/3 + 4*p**2 - 6*p. Give v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822556.\nAnswer: 2, 1205639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -3. Suppose -4*z = -2*g - 4, 3*g - c*g = 4*z - 40. Suppose g = p - 16. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 + 74\/7)*1)\/(1192\/1043)\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than 0.114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 22564436?\nAnswer: -22564434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 197. Let f(z) = -4*z + 138. Let c(g) = 4*f(g) - 3*k(g). Calculate c(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4132.24783 to the nearest ten.\nAnswer: -4130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68075, -146630, -225185?\nAnswer: -303740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58168409 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 + 504*c - 996 = 0. Calculate c.\nAnswer: 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.12.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*s + 593*s = -77*s - 171817 + 52028 for s.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.907 + 0.093. Which is bigger: n or -0.03?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*q**4 - 60*q**3 + 58*q**2 - 12*q.\nAnswer: 2*q*(q - 3)*(q - 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*i - 8. Let a be 8\/(-2) + 6\/i. List the prime factors of a\/(21\/12 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from aabfafbnazqf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k**2 + 4*k + k**3 - 3 - 2 + 2. Let r be j(5). Is (12\/r)\/((-3)\/88) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 199*f - 333 = 70*f. Solve -f*d = 0, 3*p + 13*d = 8*d - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177677.2 less than -0.2?\nAnswer: -2177677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 172*h = 175*h - 261, 4*h - 3*h - 271 + 16 = -4*o for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 246*l. Let v(a) = -a**2. Give f(v(y)).\nAnswer: -y**4 - 246*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/269, -0.4, -3 in decreasing order.\nAnswer: -3\/269, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492628 by -1.\nAnswer: -492628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, -3\/40, -6, -4, -16?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/14)\/(-6))\/(5\/(-6 + -64)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let t be b(10). Let f = -7 - t. Suppose -p = -f*p - j + 21, 0 = -2*j + 6. What is the lowest common multiple of p and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 55*z - 28*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - v + 132 = 114, -2*b = 5*v - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j - 13*j + 9*j + 3*j**2. Let a(u) = 12*u**2. What is a(g(n))?\nAnswer: 108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w**2 - w + 2. Let f(h) = -43*h**2 - 3*h + 6. Determine 3*f(t) - 8*r(t).\nAnswer: -9*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1565*p**5 - 951518*p**4 - 160743064*p**3 - 4898219536*p**2 - 41469219792*p + 53003808 = 0.\nAnswer: -286, -18, 2\/1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + t - 3541 = 5*t, 0 = -2*c - 5*t + 2376. Let z = -13183 + c. Round z to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 395 - 413. Let o be (-4963)\/(-3306) - (-27)\/x. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22588 + 3673 = 0. Suppose 3*f - 2*d - 1143 = 1695, 0 = -4*f + 3*d + k. Let x = f + -529. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878021894 a multiple of 10533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10470*o**3*v**2 - o**3*v - o**3 + 3*o**2*v + 6*o**2 wrt v?\nAnswer: -20940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -743574 (base 8) in base 16?\nAnswer: -3c77c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25971643463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 - 1. Let v(j) = -11*j**2 + 37*j**2 - 13*j**2 - 15*j**2. Determine v(u(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20502095095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811506.\nAnswer: 2, 3, 211, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide ((-196818)\/(-8))\/((-2226)\/(-2968))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.8 + -48. Put 0, f, -1.7 in decreasing order.\nAnswer: 0, f, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 5, -3, -1, 469 in decreasing order.\nAnswer: 469, 5, -1, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 14*f**2 + 14*f - 14. Let k be o(-15). Let n(w) = 7*w**3 + 2*w**2 - 4*w + 3. Let u be n(k). Solve h = -h + u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/50 and 69\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -244*b**3 - 19*b**2 - 8*b - 1270. Let z(l) = 163*l**3 + 12*l**2 + 5*l + 847. Let h(a) = 5*x(a) + 8*z(a). What is the derivative of h(w) wrt w?\nAnswer: 252*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**3\/6 - v**2 + v + 15. Let g(q) = q + 2. Calculate 2*c(k) + 3*g(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-2 - 0) + 3. Suppose -t = -2*u + 9, 5*u - j*t + 13 - 37 = 0. Let p(s) = -s. Let w be p(0). Solve -m + u = -w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0523836 rounded to four dps?\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01869 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k + 2. Is (2*3)\/(k\/2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97685588881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 20*x + 52. Let q(w) = -9*w - 31. Calculate 3*f(m) + 5*q(m).\nAnswer: 15*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - c + 5 = 7*y, 3*c - 15 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 48*s + 475. What is the hundreds digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1669542556 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(-8*10\/1600).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 12. Let b = -1801 - -1789. Give k(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 41738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) - (-2 - 15\/(-6)). Let o be b*-2 + (12 - 1). What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -10 - -9) + 0 + -7 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.2 - -36. Sort -2\/3, c, 4, -1, -1\/4.\nAnswer: c, -1, -2\/3, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10345 divided by 318?\nAnswer: -10345\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(26 - 4248\/162).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160750 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let h(w) be the first derivative of -2\/3*w**3 + 0*w + 0*w**2 - 2. Give d(h(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = k - 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(63)*-3 + sqrt(700) + 6*(4 + sqrt(700) + sqrt(700) - sqrt(700)))*5.\nAnswer: 140 + 305*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -17. Suppose -p = -3*v - 11. Suppose 0 = -x + n - 6, 4*x + 3*n + v = 12. Is x smaller than 1\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -461bb5 + 28?\nAnswer: -461b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6255 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*d + 612456 = 2721170. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4129?\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 27 = -0*x - t, 3*t + 15 = 0. Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 + ((-75)\/35)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*j - 23, 2*j = -3*s + 38 + 73. What is the remainder when 81 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 369 - 366. Solve -5*m = y - 3, 4*y - y + u*m - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 10\/2787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7493?\nAnswer: 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*a - 15 = 0, 0 = -4*b - 2*a + 17 + 3. Let s(n) = 2*n**2 - n - 5. Is 8 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3 + o**2\/2 - o + 19. Let p be (-2)\/(2\/4 + 0). Let x be ((-36)\/27)\/(p\/(-6)). Calculate r(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28025\/568 + -395\/8. Do -1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5 = p. Suppose 3*h + p*a = 23, h - 26 = -0*h + 2*a. Let w(u) = -64*u**3 - u - 1. Let f be w(-1). What is the highest common factor of f and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*s, 22 = 5*q + 5*s - 2*s. Suppose q*f = 15*f + 30. Let d = -1.6 - 4.4. What is the biggest value in 3, f, d, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4165 divided by 833\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x - 3. Let o = 3 + -4. Let l be -14*(o - 3\/(-6)). What is the units digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*w**5 + 666*w**2 - 23*w**5 + 48*w**5 + 415*w**2 - 1650*w wrt w?\nAnswer: 20*w**3 + 2162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/101 - -196\/303. Let x(z) be the first derivative of -1\/2*z**4 + z**2 + 2*z - u*z**3 + 1. Factor x(j).\nAnswer: -2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**2 + 9*z**2 - 21*z**2 - 2*z**3)*(-2*z + 2*z + 2*z**2)*(0 + 1 - 2).\nAnswer: 4*z**5 - 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10885478449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 31*r - 31*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6388*i**5 + 6025*i + 2 wrt i.\nAnswer: 127760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -122815*b - 1228150. What is y(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 21 = 131. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r**3 - r**2 - 1. Let z be p(-2). Let s be (-4)\/(-10)*(-70)\/z. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {f: 2, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93815 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -39*y**3 - 2*y**2 + 3*y - 2. Let q(j) = 2*j**3 - j**2 - 1. Let h(n) = -a(n) + 2*q(n). Find the second derivative of h(l) wrt l.\nAnswer: 258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 14881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 9*j**2 + 0*j**5 + 0*j + 0*j**6 - 1\/168*j**7 + 0*j**4 - 7\/2*j**3. Let c(h) be the first derivative of m(h). Factor c(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995305238?\nAnswer: 2, 883, 563593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2778.7062808 + 4847?\nAnswer: 2068.2937192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 + 2*w - 1. Let q be m(2). Let z be 7\/28 - q\/(-4). Find the second derivative of -h**3 - z*h**3 + 2*h**3 - 9*h - h wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 130. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2655ab95?\nAnswer: -2655ab99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4067018 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1635 and 251039208.\nAnswer: 1255196040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (31260 - (4 + -7)) + -18.\nAnswer: 3, 5, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*z + 111*z + 2 - 6 - z + 2 - 2 - z + 2*z - 2*z + (-z + z - 2*z)*(3 + 1 - 3) + 2*z + 0*z - z - 3*z + z + 0*z - 3 - 2*z + 3 - z + 2*z - 2*z.\nAnswer: 10*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let d be -4*(-3)\/(-18) + -6 + 8. Which is the third smallest value? (a) k (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(-1\/7))\/z)\/((z*(z*z**(-3\/7))\/z)\/z)*((z\/z**(-4))\/z)\/(z*z*z**(3\/5))*((z\/(z\/(z\/(z*z**(-2\/19)))*z))\/z**0)**(-2\/123) assuming z is positive.\nAnswer: z**(220868\/81795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 48 = 16*p. Solve 1 = -4*k - p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 2. Let f be a(-6). Solve -f*z + 2 = -2, -4*u = 3*z - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756943763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118\/15 - (-2)\/15 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(204)\/sqrt(4) + sqrt(51) - (sqrt(204) - sqrt(51))*-4)\/((sqrt(36)\/sqrt(6))\/sqrt(2)*1) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -17. Let c = i - -16. Suppose 0 = -6*f - c + 16. Solve f*d = -h - 9, 0*h + 6 = 2*h - 4*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021573 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 162. Let k(y) = 12922*y**2. Give g(k(i)).\nAnswer: 333956168*i**4 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1143*q - 6756. Let a be s(-6). Let i = 334 + -227. Let u = i - a. Which is greater: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 14*j**2. Let d(y) = -2*y - 1682. Give d(m(k)).\nAnswer: -28*k**2 - 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-35)*(-3388)\/(-66). Calculate the greatest common divisor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*d = -142*d - 4*l - 3, 18*l = -d - 51 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 6, u: 2, w: 3}. Give prob of picking 1 c, 2 w, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/27, -5, -1\/2, -41.1?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v**(-1\/6))**47 assuming v is positive.\nAnswer: v**(799\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y + 8 - 40*y + 26*y to the form j*y + v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(3\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + m + 3 - 6 + m**2)*(3*m + 3*m - m) to the form x + g*m**2 + r*m**3 + s*m and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = -6*w + 3*w, 0 = 4*w - 3*t + 3. Solve 4*f = -w*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 61 - (-31 - -38).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**3 - 3*b. Let o(m) be the second derivative of 17*m**5\/20 - 4*m**3\/3 - 13*m. Give -4*o(l) + 11*y(l).\nAnswer: -2*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -89*k - 2948. Determine n(-33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.143 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06189 + -0.06189. Do 37 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 0.2, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-2\/3)\/p)\/p)**(-13)\/(p**(-1\/4)*p**(-2\/13))*(p**(-3\/5)*p*p**(-2\/5)\/p)\/((p\/p**(-4\/5)*p)\/(((p\/(p\/p**(2\/33)))\/p)\/p)) assuming p is positive.\nAnswer: p**(46707\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14403 (base 6) to base 11.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7317895513 and -109.\nAnswer: -7317895622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/49322 and -1\/17073.\nAnswer: 443898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60 and 58\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7971 = -34*i + 8039 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 119 = -2*o - 5*j, -3*j - 15 = 0. Is -46 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -100*m + 96*m + c, -4*m = 4*c + 40 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4*m - 2*m)*(-59131 + 9638*m - 59126 + 118257).\nAnswer: 28914*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q + 2*q + q - 5*q + 3*q + (0*q + q + 0*q)*(3 + 2 - 3) + (q + 7 - 7)*(2 + 1 - 1)*(-1 - 4 - 6).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/19))**40*(h**(-7\/6))**(-8) assuming h is positive.\nAnswer: h**(2932\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**3 + 6*c**2 + 3*c + 4. Let p(q) = -4*q**3 - 3*q**2 - q - 2. Let h(v) = 7*p(v) + 3*w(v). Give h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114 - 310*z**2 - 168*z**2 + 111 in the form i*z**2 + w + m*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216 + -194. Solve 27*w - v*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 6)\/3 - 0. Let q be -1*((-3)\/(-9))\/(f\/(-9)). Which is smaller: q or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/52 and -61\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3826420292, 3826420291, 3826420290?\nAnswer: 3826420289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 20971?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 24 = -14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 1497925.\nAnswer: 2995850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.695, -0.4, -1\/2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61556?\nAnswer: 2, 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpopmpompopoppppmpp. What is prob of sequence pmm?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 33. Let y = -10 + d. Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 - 24740*b**2 - 7015525*b - 6990780 = 0. What is b?\nAnswer: -268, -1, 5217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 3*l**2 + 19*l + 16. Is j(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 2)*(64\/(-8) - -7). Let g(o) be the third derivative of 6*o**2 - 2\/15*o**4 + 0*o - 16\/15*o**3 + 0 - 1\/150*o**j. Factor g(r).\nAnswer: -2*(r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14452\/72260*(9\/15)\/((-3)\/15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*j + 8 + 9, 4*v - 3*j + 8 = 0. Let i be 6\/(-6) + v + 0. Put -5, 2, i in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.746823 and -6.\nAnswer: 178.480938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1094 = 13*f - 11*f. Suppose 3*c - f = 248. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, v: 1, r: 8}. Give prob of sequence vf.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - 3495.29105.\nAnswer: -3514.29105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -361462, -722887, -1084312, -1445737, -1807162, -2168587?\n\"Answer: -361425*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 37. Calculate the least common multiple of 1 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-35))\/((-1)\/(-5)). Let o = 4 - x. Let a = 0 + o. Solve a*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9. Let f = -0.1 - 0.3. What is the biggest value in i, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22eb (base 15) in base 2?\nAnswer: 1110011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548468801?\nAnswer: 19, 28866779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**(1\/6)\/y)*y)*y))\/(y*y**(14\/5))*y**2\/y*y\/((y**10*y)\/y) assuming y is positive.\nAnswer: y**(-299\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0*(-5)\/15)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15*(-50)\/(-840)*-4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*l - 44 = 0, 5*h + l + 55 = -2*l. Is h*(-3)\/(3\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:31 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66186599, -132373192, -198559785, -264746378, -330932971?\n\"Answer: -66186593*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 1, r: 2, v: 2, f: 1, d: 1, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -27 - ((-2 - 1) + -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/6 + 3074*k**2\/3 - 24616*k\/3 + 16416 = 0.\nAnswer: -6156, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*o - 1)*(3 - 3 + o**2) + (-4 + 4 - 3*o)*(0*o**2 + o**2 - 3*o**2))*(-4 - o + 1 - 3).\nAnswer: -8*o**4 - 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 + 2 = 0. Let t be ((0 - -1) + x)*1. Solve 20 = -t*o, h + 25 = 5*h - 5*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 14. Let a(j) = -j + 4. Let l(m) = -7*a(m) - 2*r(m). Let d(z) = 1. Give 2*d(p) - l(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -176471 (base 9) in base 6?\nAnswer: -2204014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 26.54. Let w = 20194.5 - 20195. What is the nearest to 0 in 4, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let b(v) = 5175*v + 5342*v - 10046*v + 1. What is b(k(y))?\nAnswer: -942*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/(-5800))\/(2\/5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -7*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 3 - (-5220)\/(-16). Let d = q - -326. Sort -41, d, 0.3.\nAnswer: -41, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*g**2 + 10*g - 74*g**2 - 56*g**2.\nAnswer: -207*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:50 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 4\/2)\/((-340)\/(-40) - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -373*m**2. Let p(l) be the third derivative of -l**4\/24 - 1040*l**2. Give o(p(t)).\nAnswer: -373*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*u**3\/4 + 229*u**2 + 467*u\/4 + 3\/2 = 0. What is u?\nAnswer: -1, -6\/455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(2) + 1.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-30)\/(-40)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56650444 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 3913856*a\/5 - 3829567197184\/5.\nAnswer: -(a - 1956928)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100\/3753 - -6155\/3753. Factor 2 - 1\/3*w**2 + m*w.\nAnswer: -(w - 6)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**4 + 33899082*q**3 + 2*q + 48855128?\nAnswer: 36*q**2 + 203394492*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 60*v + 140.\nAnswer: -5*(v - 14)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*j - 78*j = -104*j + 1332. Solve -3*s + 2*f + 11 = 0, -3*s + 17 = 10*f - j*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 2, 0, 25, 3 in ascending order.\nAnswer: 0, 2, 3, 25, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 0 + 4 - 3. Suppose 0 = 194*j - 196*j + 10. What is k(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2. Suppose -x - x = -6. Let b(p) = x*p + p - p - 2*p. Give a(b(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67045393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*g - 3155*g**3 + 1340*g**3 + 1343*g**3 + 892*g**3 + g**2 wrt g.\nAnswer: 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3229.16 rounded to the nearest ten?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and 3037396623.3?\nAnswer: 3037396570.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:10 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Suppose 0 = -6*u + p*u - 3. Which is greater: u or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.60789mm to centimeters.\nAnswer: 2.560789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 136015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*v - 1 - 3 - 3*v + 3 + (-1 + 1 + 1)*(-1 - v + 1) - v - 3 + 3 to d + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 485822*r - 38852960.\nAnswer: -2*(r - 242831)*(r - 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 1216 + 744. Suppose -3*h - 2*h = -p. Let i(u) = u**2 - 15*u - 41. What is the remainder when h is divided by i(18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-29 + -3 + 60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 6. Let a(t) = -4*t**3 + 3*t**2 + 6*t - 6. Let p(q) = 7*q**3 - 6*q**2 - 12*q + 12. Let l(w) = f*a(w) - 3*p(w). List the prime factors of l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/5 - 54432*l\/5 + 185177664\/5 = 0. What is l?\nAnswer: 6804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 130. Find the common denominator of 93\/58 and (35\/d)\/(55\/(-70)).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -2201302?\nAnswer: 2201213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.811 - 1.971. What is the second smallest value in t, 2\/25, -0.2, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 124\/(-44) - (-429325)\/(-572). Which is greater: -751 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2973900.\nAnswer: 1\/991300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74746404?\nAnswer: 2, 3, 2076289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*a + 18, -3*a - 3 = -12 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/4 + d**3\/3 + d**2\/2 - 4*d. List the prime factors of o(3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117730840.66 to the nearest 100000.\nAnswer: 117700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -182.9 (c) 21 (d) -6 (e) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from ymtm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 3)*(-2)\/(-5). Let a(m) = -2 - 1 + 8 - 6 + m. Let d(y) = -y**2 - 3*y + 2. Let l be d(-4). Let v(i) = i**2 - i. What is l*v(k) + r*a(k)?\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -133*s**2 + s**3 + 93*s**2 + 42*s**2 + 43 - 12*s. What is the remainder when c(4) is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245\/4 - 2353\/36. Calculate the common denominator of g and ((-12)\/(-486)*9)\/(1\/(-69)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1167 + -1142. Let c(h) = 69*h**2 - h + 1. Let t = -4 - -6. Let b be c(t). Calculate the greatest common divisor of o and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5 + 5 + (3 - 3 + 2)*(-2*x + 3*x + 0*x) - 2*x - 2*x - 2*x)*(-15*x**3 - 14*x**2 + 14*x**2).\nAnswer: 45*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 352?\nAnswer: -24.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehee when four letters picked without replacement from {e: 2, z: 1, h: 14}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39946124.\nAnswer: 2, 17, 23, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3107.7 + 707318.\nAnswer: 710425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:22 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l\/(l**(-2\/9)*l))**(-4)*(l*l**(-5)\/l*l\/l**0)\/(l*l*l**(-1)*l)**(1\/27) assuming l is positive.\nAnswer: l**(82\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 6. Let w be t(5). Suppose 0 = -4*z - z. Suppose -4*x - 5*i + 20 = z, -x - i = 3*x - 4. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 928.74 + 2.26. Is 0 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -111. Put 8, 3, o, 1 in increasing order.\nAnswer: 1, 3, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/64*(-484)\/(-6). Let p = -100 + l. Suppose 4 = -5*m - p. Which is the closest to 1\/3? (a) -16 (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000452 rounded to six decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -3)*(-56521)\/(-58) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2854 + 4?\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.2 + 16. Let j = a + 1.6. Sort -0.01, j, 1\/2 in increasing order.\nAnswer: -0.01, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b016 (base 12) to base 6.\nAnswer: -224030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137732587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(110)\/sqrt(11)))\/(sqrt(128)*1 + sqrt(128)).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:45 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Suppose 0 = -12*q - 25*q - 37. Let n be ((-2)\/(-14))\/(2\/4). Which is the nearest to 0? (a) s (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -833190930*f**2 + f + 614536972?\nAnswer: -1666381860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384806777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 28. Let j be v(9). Suppose y + 3*o = j, 0 = 2*y + 3*o - 0*o - 35. Calculate the remainder when 59 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (19 - 6)*(0 + 18 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57429*c**3*f + c**3 - c**2 + 10*c*f + 412*f + 2 wrt c?\nAnswer: 344574*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20655577, 20655572, 20655563, 20655550, 20655533?\n\"Answer: -2*a**2 + a + 20655578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1894 - 1894. Solve y*v + 6*v = 36 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 483*u. Let w(k) = -303812*k. Give -4*w(o) - 2515*z(o).\nAnswer: 503*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 2 v when four letters picked without replacement from vevmvvmmhvvdmhvvvhv.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 340*l**3 + 69*l**2 + 11*l + 16. Let z(y) = 68*y**3 + 14*y**2 + 2*y + 3. Let d(o) = -2*v(o) + 11*z(o). What is the third derivative of d(q) wrt q?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537468383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457 - -471. Let h(s) = -3 - 3*s + g*s - 3*s - 4*s - 10*s. What is h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 355, 721, 1087, 1453?\n\"Answer: 366*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1124.327*2.3\nAnswer: -2585.9521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*m - m + 3*m - 18.\nAnswer: 2*m - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 473.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 + 3*a**2 + 3*a + 1. Is 10 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/42)\/(6\/21))\/((-15)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 8\/2)\/2. What is the remainder when 29 is divided by 2 - (v - 7 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 1. Suppose -2 = 2*r - r. Let t be x(r). Suppose -t*w + 66 = 6. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45.5, 2\/135, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -2652 (c) 0.3 (d) 2\/13 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -1 (c) -12 (d) 2 (e) -19\/5 (f) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59815\/1224 - -3049\/72. Let v = 274\/3 - s. Let g be 8\/(-18)*12\/(-8). Sort g, v, -2\/3 in decreasing order.\nAnswer: g, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 1920, 6442, 15226, 29688, 51244, 81310?\nAnswer: 121302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 10*v + v)*(-1 + 0 - 2)*(3 - 1 + 29).\nAnswer: 744*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19308 divided by -245\nAnswer: -19308\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -199, -203, -207, -211?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 24*c + 15 as v*c + o and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 15*y**2 - 7*y + (y + 2*y - 5*y)*(y + y + 0*y)*(-12 + 0 + 2) as t*y**2 + j + s*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -198 - -1\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3845 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000001000101101000 (base 2) to base 3.\nAnswer: -1222111111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1404 less than or equal to -1406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c)*(-26 - 12 + 19)*(1 - 4 + 0)*(2*c - 4*c + c).\nAnswer: -114*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121250714.\nAnswer: 2, 13, 1987, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s + q - 445, -s + 3*q = 135. Let v = -147 - s. Solve m + v = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x - 5 = 0. Suppose r - 3*n = 2*n - x, -5*r = -n + 5. Let y = r - -3. Solve -5*c + 4*c - 3 = y*p, 3*c = 5*p - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 1. Let r(j) = -28*j + 3. Give r(k) + 2*z(k).\nAnswer: -34*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7776 + 14533. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -33. Let k = -44 + q. What is the second biggest value in k, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11387245873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 570 - 52. Let q = x - 68. Let s be 5\/((-60)\/(-58312)) - (-4)\/q. Round s to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsstttsttt. Give prob of picking 4 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 3*g**2 + 3*g. Let p be y(2). Let v(k) = -3*k + 2*k - 9 + 15 + k**3 + k**p. Determine v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5687184 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5601002374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 152\/16 + 1\/(-2). Suppose -1 = 2*g + v. Let d(o) = 3*o**3 + 7 + 4*o - o - 4*o**3 - 5*o**2. Give d(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -74. Let b be 2\/(1 + 1) + 2. Solve -b*u + t*u - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -123.48464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*w - 27, 2*h - 6*h + 2*w = -6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/14)\/l**17*l**(-9)\/l*l\/(((l\/((l**(-16)\/l*l)\/l))\/l)\/l*l) assuming l is positive.\nAnswer: l**(-603\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 26. Let d = -16 - u. Suppose x - d*x = 15. What is the closest to 1 in 4, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2 - 1 - 4 + 3 + (6 - 4 - 3)*(4 + 0 - 3) - 7 + 4 + 2 + 4 - 2 - 3)*(-6 - 6*f + 6).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272\/7*z**2 + 8*z**3 + 288\/7*z + 4\/7*z**4 + 0.\nAnswer: 4*z*(z - 2)**2*(z + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14048.2 - -14048. What is the nearest to 2 in 13, 0.5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -3*q**5\/40 + 3*q**4\/8 + q**3\/4 - 9*q**2\/4 - 95*q. Factor d(t).\nAnswer: -3*(t - 3)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-3*(sqrt(800) + 1) + sqrt(800) - (sqrt(800) + (sqrt(800) + 0)*-2)))**2 + 2)*6*4.\nAnswer: 7680*sqrt(2) + 20784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-27)*90\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/9 + 10\/(-15). Suppose 3*g + 0 - d = -i, -3*i + g + 8 = 0. Solve -3*r = -i*v + 3, 0 = 3*v - 0*v - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3470 - -3470.000001628. What is p rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 = -2*v + 3*x, 0 = -5*v + 2*x - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2 + 1) - (7 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0)\/p)\/p)**(-18)\/(p**(-1\/5))**(-14\/3) assuming p is positive.\nAnswer: p**(256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -0.23919 (b) -0.18 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(56\/24 - 2))\/2. Let a be (2\/5)\/(1\/60). Solve -2*n = 4*b + 20, 2*n + h*n = -5*b - a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 0.3 (c) -3 (d) -391 (e) -7 (f) -306\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3863359*g**2 - 15151470?\nAnswer: -7726718*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 2. Let z(r) = -20*r - 11. Let q(t) = 6*f(t) + z(t). Suppose 2*a - 2*l - 8 = 0, -4*a + 4*l = a - 16. Suppose -4*u - 8 = -a*u. Calculate q(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n**2*n)\/n*n)\/n))**22 assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605777287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15413763 to the power of 1\/2, to the nearest integer?\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2091 by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -124 (c) 4206\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2058)*2)\/((sqrt(216) + sqrt(54))\/sqrt(9)) - (5 + -1*-2*sqrt(1008)*-3))**2 + 0.\nAnswer: -2300*sqrt(7)\/3 + 370525\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -560 and -4.\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16306.98l to millilitres.\nAnswer: 16306980","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round 32168.74181 to the nearest integer.\nAnswer: 32169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(3\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-54)*((-4)\/1 + 2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -1 (b) 5 (c) -2\/19 (d) -1803 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 319409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6854784*r**3 + 15168*r + 332 wrt r.\nAnswer: -41128704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1568, 3381, 1, -2\/5?\nAnswer: 1568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -10\/9 (b) 1.64 (c) 20 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 2*f + 3 - 6*f**2 - 3*f**2 - 6*f**3 + 5*f**3. Let u be j(-8). Factor 2 + u*c - 6*c + 0*c + c**2.\nAnswer: (c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:27 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*h - 5 - 62*h + 185*h - 73*h to f*h + i and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3013302342 (base 5) to base 15.\nAnswer: 7d6067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 + -2.9. Let d = 117 + -823\/7. What is the closest to v in d, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 6*w - 6. Let c be d(6). Let b be c\/((-6)\/(-2))*-2. Find the second derivative of b*v**5 - 6*v**5 - 2*v + 0*v wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 4*p**2 - 4*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3103 (base 4) to base 9\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-351)\/78)\/((5\/(-270))\/(7*(-13)\/273)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4058.02856036.\nAnswer: -4052.02856036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and 0.132.\nAnswer: 12.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76159*l = 75435*l - 30408 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/((2\/(3024\/60))\/(805\/69)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206110368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246236 - 142422. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 12223?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m. Let a(r) = r**3 - r**2 + 13*r - 1. Let p(k) = -a(k) + 5*x(k). Suppose c - 13 + 6 = y, -3*c + 16 = 2*y. Give p(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 + 2*q**3\/3 - 3*q**2\/2 + 2*q + 2. Let h be g(-3). Let a = 884 + -881. Solve 3*z = h*z - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*j + 72 + 124 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196743 - 196735 + 590222 + 23*h**3 - 101*h**3 - 196744.\nAnswer: -78*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11367.3 + 11363. Sort -2\/35, 5, b in descending order.\nAnswer: 5, -2\/35, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -490980, -981565, -1472150, -1962735?\n\"Answer: -490585*u - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -0.03. Let m = h + -3.12. Put m, -2, 0 in ascending order.\nAnswer: m, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r - 3*r)*(-3118*r**2 + 3125*r**2 + 3*r**3 - 36*r**3).\nAnswer: 132*r**4 - 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*m + 471 = 4105 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1675?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6074354 months to years.\nAnswer: 0.13395295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18*(8*(-84)\/(-48) - 8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*a = -11 - 34, -5*a = -4*s + 105. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14559 by 1.\nAnswer: -14559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1.67. Let p = -2.93 + z. Let i = 0.2 + -0.1. What is the closest to i in 1\/4, -0.4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:03 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*x - 11. Suppose 3*r - 97 = 14. Calculate the remainder when r is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14945 + 15209. Calculate the highest common factor of o and 5049.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 13. Let i(w) = -5*w - 14. Let v(y) = 3*i(y) + 4*q(y). Let f be v(-7). Let z be f*((-3 - -1) + 1). Is z >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 8*g**2 - 3*g - 16. Let q be h(-7). Let d be 54\/(-4*(-2)\/20). What is the greatest common divisor of d and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -30, -167, -422, -831, -1430, -2255?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 38744.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85951875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.2. Let s = 2 - 4. Let r be s\/(-40) - 2\/8. Sort r, o, 1\/6 in increasing order.\nAnswer: r, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:48 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322000?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 - 2*k + 4. What is z(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 15 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2730\/702*(1 - -8). Solve -q + v*k - 4 = 36*k, -5*q + 2*k + 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 - -147. Let f = -0.27 + 12.27. What is the nearest to f in -0.3, x, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2364.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Find the second derivative of -4*v + 0*v**h + 2*v**3 + 5*v + 0*v**3 wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -1775\nAnswer: -49\/1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 896689?\nAnswer: 896688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*j - 37*j - 4, -2*z - 3*j = -1360. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.772 - -4.72. Let g = -0.6 - -0.248. Let u = f - g. Which is the fourth smallest value? (a) -1\/2 (b) 0.8 (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8057 + 8056.5. Let s = -22 - -27. Which is the smallest value? (a) u (b) s (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 875.487 nanograms?\nAnswer: 0.000000000000875487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (-1 + sqrt(68) - sqrt(68)) + 0)**2 + ((0 + sqrt(68))*-1)**2.\nAnswer: -4*sqrt(17) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -15*k - 70. Let p be d(-6). Let q be (-2)\/(-8) - (-295)\/p. Calculate the highest common divisor of 55 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k - 4*o - 68, k - 3*o = 35. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1519 or -3599?\nAnswer: -3599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*b - 4 + 4 = 19*b. Let j(u) be the second derivative of b + 1\/6*u**3 - 16*u + 0*u**2. Let o(a) = -16*a. Calculate o(j(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*q + 27*q = 18*q + 47270. Calculate the remainder when q is divided by 70.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a - 10. Let o(s) = -5*s - 9. Let c(i) = -6*j(i) + 7*o(i). Let d = 315 - 311. Suppose 9*q + 19 = 5*m + 10*q, 0 = d*m + q - 16. Determine c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 16 = -3*q, -17*q = c - 18*q + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002451 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 17, 422.\nAnswer: 17, 92, 422","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2943 or 67100?\nAnswer: 2943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-8))\/((-189)\/(-42)*(-5)\/(-12)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a)*(-a + a + a**4) + (-7*a**2 + 10*a**2 - 13*a**2)*(9*a - 9*a - 4*a**3).\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 6*u + 16. Calculate the remainder when 1319 is divided by w(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8343151.\nAnswer: 211, 39541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38225112?\nAnswer: 2, 3, 17, 19, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1026 + 899 = 77*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 9 in decreasing order.\nAnswer: 9, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213698116 to the nearest integer?\nAnswer: 14618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -2)\/((-50)\/50). Solve 4*g = x*o + 5, -7*o = -5*g - 2*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -479 + 527. What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89538861?\nAnswer: 3, 29846287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/17, -0.15 in increasing order.\nAnswer: -0.15, 4\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - z + 3 + z - 6*z + 2*z + 2*z - 3*z + 3*z - 2*z + 3*z - 2*z + (0 + 4 - 2)*(z + z - 3*z) - 3 + 3 - z + z + 3*z - 3*z + (-28 - 1 - 25)*(16 - 8*z - 16).\nAnswer: 427*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*l - 138714, 76*l = -3*q + 73*l + 138642. Round q to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 77 - 292 = 0. Solve 0 = -11*o + 8*o - 3*t - f, 3*t = 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + b**3 - 2*b**2 + 4*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124477 - 78?\nAnswer: 124399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 2\/105*m**7 - 4\/75*m**6 + 4\/15*m**4 - 3\/25*m**5 + 8\/15*m**3 + 0*m**2 + 0 - 44*m. Factor i(l).\nAnswer: 4*l*(l - 2)**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/4)\/(i\/i**(-13))*(i*i**(-16))\/((i*i**18*i*i)\/i) assuming i is positive.\nAnswer: i**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290\/119 - 39\/17. Factor -1\/7*h + m*h**2 + 0.\nAnswer: h*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06178 to three dps.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 941563787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/9)\/j*j*j**(-4\/3))\/(j**(-2\/21))**(-2\/3) assuming j is positive.\nAnswer: j**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.924 - 7.8. Let l = i - 0.18. Round l to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 174.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + d + d - d + 4*d + 0*d + (2 - 2 + 1)*(-108*d + 64 - 64) + 1 - 1 - d + 0 - d - 2 - 4*d as m*d + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1031*m + 1038*m - 4418*m)*(-m**2 + 2*m**2 - 3*m**2)*(1 + 1 - 1) in the form a*m**2 + j + y*m**3 + z*m and give y.\nAnswer: 8822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/((-1)\/24). Put 2, p, 3, 1 in ascending order.\nAnswer: p, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*n**3 + 899*n**5 + 783*n**5 - 1681*n**5 - 14*n**4.\nAnswer: n**3*(n - 12)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110245203 (base 6) to base 10.\nAnswer: -1981443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {r: 4, p: 3, a: 1, t: 4, b: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 162084.\nAnswer: 1296672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4188*j**2 + 516*j**2 + 543*j**2 + 3141*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 12:17 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 23. Suppose -2 = -3*u - 2*x + 3, 3*u = 3*x + f. Suppose p - 2 = u. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -44*j - 1. Let n be o(-3). Suppose 4*h + 4*s = s + n, -s = -4*h + 127. Suppose h = -5*k + 9*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 85*h - 821215 = 0. What are the prime factors of h?\nAnswer: 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 17834913\nAnswer: 2\/17834913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/(-816) + 568\/(-680).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let s(f) = 2*f**2 - 4*f. Let h(l) = 4*d(l) + s(l). Let n(g) be the second derivative of 13*g**3\/3 + 104*g. Determine n(h(m)).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -830794 <= -830787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h - 129. Let u be y(8). What is the closest to -2\/3 in 1, u, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 36722196.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 23 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022049 to six decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 115 - 46 = 0. Suppose -3*x = 4*i - 0*x + f, -3*x + 1 = 2*i. Is -11 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.284 + -0.816. Let v = -2267 - -2327. Let g = v + m. Do 17 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f + 2)*(20 - 20 + f**3).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7*y = 0. Suppose y = -5*f + 12 + 28. Is 9 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*w + 4 + 2, 0 = w - 3. Calculate the smallest common multiple of 342 and t.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7 - 3.7. What is the closest to -2\/3 in r, 2\/19, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 6:53 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -0.4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1)\/(((-368)\/(-2))\/2392)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (4 - (14 - -1)). Suppose 5*t = 2*x + 3*x - 50, 2*x + 4*t + q = 0. Find the second derivative of 7*h**3 - x*h - 3*h - 2*h**2 + 2*h**2 wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149157072, 298314149, 447471226, 596628303, 745785380, 894942457?\nAnswer: 1044099534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuwsluuumlwsw. What is prob of picking 2 w and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29760, -179.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 67502*j - 1485045. Calculate w(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 + 2 - -5 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/36)\/((-2)\/(-36)). Let x(m) be the third derivative of 1\/9*m**3 + 1\/15*m**5 + 1\/9*m**4 + 1\/315*m**7 + 0 + 0*m - m**2 + 1\/45*m**w. Factor x(h).\nAnswer: 2*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40 from -51.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 1. Let q be j(-2). Let d be (0 + 17\/2)*(5 + 1). What is the greatest common divisor of d and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433300 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 35 = -2*j + 6*j, 0 = j - d - 10. Find the first derivative of -j - 11 - 571*k**4 + 543*k**4 wrt k.\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145118?\nAnswer: 2, 72559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**3 - 5*a - 5. Let n(i) = i**3 - i - 1. What is 5*n(p) - w(p)?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-19)*(1 + (-2)\/(-4)). Is 4\/6 + (5872\/12 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.38 + -0.38. Let q = 31 - n. Let x = -16 + q. Which is the nearest to x? (a) -3 (b) 0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**21)\/o**(4\/7) assuming o is positive.\nAnswer: o**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 86.18?\nAnswer: 86.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36 - 10)*(1 - 9\/6). Let f(s) = s**3 + 3*s**2 - 2*s - 3. Let p be f(-4). Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8892, 8924, 8958, 8994, 9032?\nAnswer: 9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = 3*x, 3*l - x + 108 = x. Let k = l - -28. Let v = 17 - k. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -480, 2 in ascending order.\nAnswer: -480, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -3560392990.\nAnswer: 3560392989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 = 6*d - l, 14 = -2*d + 4*l. Let c = -22 + 23. Sort c, -5, d, 5.\nAnswer: -5, c, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36121, -35829, -35545, -35269, -35001?\nAnswer: -34741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) -3 (c) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*3*(-4)\/60*70\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.072?\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5 and (-4122)\/(-945) + -1 - (2 - -1).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.265465 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -552*a**2*v + 339*a**2 - a - 430986*v wrt a.\nAnswer: -1104*v + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4 + 4*p - 3*p + 6. Let v(y) = -2*y - 12. Let r be v(-9). What is the units digit of q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537649 is divided by 89587.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(32) - sqrt(32) - (-2*sqrt(512) + sqrt(512)))\/((2*sqrt(24))\/sqrt(6)*-5*4).\nAnswer: -9*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 7\/(-56)*-4*6. Let d(l) = l**3 - l**2 + l + 20. Let x be d(0). Solve s*g + x = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37911575 divided by 583255.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**43*p**4)\/((p*p**(8\/9)*p)\/(p*p*p\/(p\/(p*p**16))*p)) assuming p is positive.\nAnswer: p**(577\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p + 8 = 0. Let h be p - 0 - 5\/(-1). What is the third derivative of 10*w**2 - 3*w**2 - w**4 - h*w**4 - 3*w**4 wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = o - 4, -o - 4 = -0*o + 5*x. Let s be 0\/1*(0 - o). Solve -3*j = -s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*k**5 + 13*b*k**3 + 376*b*k**2 + 2*b*k + 2*b - 33*k**5 + 2*k wrt k.\nAnswer: 120*b*k**2 + 78*b - 1980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1093, 1096, 1101, 1108, 1117?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 12*w**2 + 13. Let m be o(12). Calculate the greatest common factor of m and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 77*u - 1186. Calculate w(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**5\/20 - m**4\/4 + 4*m**3 - 90*m**2 - 108. Let j(o) be the second derivative of g(o). Find n, given that j(n) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 1, d: 5, n: 8}. What is prob of picking 2 c and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237185.2km in micrometers?\nAnswer: 237185200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1585624 by 6052.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50887975829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 12\/5) + 3726\/115. Suppose -5152 = r*o - 46*o. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -0.3 (b) -53 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o - 4. Let m be (9\/(-12))\/(7\/8 + -1). Let i be 4 - (5 - m\/(-6 - -4)). Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -299 or -300?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0489 + 0.0489018. Round d to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9*(-16)\/(40\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3\/5 (c) 122 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 0 - 9 + 6*j**2 + 10*j + j**3. Let y be (-1)\/((2 - 1)\/(-6)). Is i(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783662 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:58 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = 44. Suppose 2*b + 4 = 4*a, a = 6*a - 5. Suppose 5*n + 2*o - 204 = b, -4*o = -3*n + 4*n - 48. What is the remainder when n is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 1104 = 16*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t + 2*t - 19 - 7420*t**4 + 7130*t**4 with respect to t.\nAnswer: -1160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:25 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -172, -391, -700, -1099, -1588, -2167?\n\"Answer: -45*h**2 + 6*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282806558?\nAnswer: 2, 307, 359, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/6, -0.07, -0.105 in increasing order.\nAnswer: -0.105, -0.07, 1\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 + -146. Let z be 1 - -2 - 7 - r\/4. Factor 6 - z*t**3 + 0*t - 9\/2*t**2.\nAnswer: -3*(t - 1)*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/13 (b) -0.128 (c) -37\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 544*o**2*u**2 - 7*o**2*y**3 - 4*o*u**2*y**3 - 2*o*u*y**3 - 7*u**2*y - 100*u*y**3 + 18*y**2 wrt u?\nAnswer: 1088*o**2 - 8*o*y**3 - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1073 - -1072.8. Let f(g) = 5*g + 43. Let o be f(-9). Which is the closest to w? (a) 0.2 (b) 0.1 (c) -43 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -22*x + 1. Let d be p(1). Let a be (-312)\/d - (-1)\/7. What is the third derivative of -14*j**4 + 4*j**2 + 0*j**2 + a*j**4 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -3. Let z = -6 - n. Let x = -7 + 5. What is the nearest to 0.1 in z, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -515, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/8*(-8 + 12). Let w(o) = -2*o**3 + 11*o**2 - 7*o - 2. Let h be w(5). Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6 = -3*t. Suppose t*g - 10 = -3*g. Suppose z = -g*z. Put 2, -3, z in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -15\/4*p**4 + 0*p + 2*p**3 + 0*p**2 + 12\/5*p**5 - 93 - 1\/2*p**6. Factor w(n).\nAnswer: -3*n**2*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 - 152. Let j = 272.39 + h. What is j rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.91*-2913.\nAnswer: 20128.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 178611 less than 591064?\nAnswer: 412453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*b + 5*f - 62, 0 = -f. Suppose -7*u + 280 + 294 = 0. What is the remainder when u is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219.142 and -3.56.\nAnswer: -780.14552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 26. What are the prime factors of p(19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 494\/(-15561) + 29492\/252.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 18 = -6*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from nmitimnpi.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 0. Suppose -4*z = -4*b + 12, 4*b + n*z - 2*z - 14 = 0. Let i = -2110 - -2114. Solve i = b*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izzzziaiiaiiaaiaa. What is prob of sequence izaa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.2 (b) -5 (c) 0.3 (d) 2.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z**3 - 12*z**3 - 2*z**2 + 35*z + 37*z**2 + 35 + 4*z**3. Let n(k) = k**2 + k + 1. Determine -105*n(o) + 3*s(o).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q + 30 = 63*q. Let c = 2 + 3. What is the third derivative of -1 - 3*n**q + 1 + 0*n**6 - c*n**2 wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/19, -4, 1593?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 50 - (-6 - -2). Let q = i + 43. List the prime factors of 950\/5*(-2)\/q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 19. Let c be l(5). Suppose 2*w - g + 0 - c = 0, -4*g = -20. What is the highest common factor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 5, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 + (11 - 13) - -3. Suppose 80 = 4*y + 3*b + b, k = 3*y + 5*b - 58. Solve 0 = y*a - 24*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 56027144?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 121044143?\nAnswer: -121044220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:20 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3027*j = 1501*j - 197*j - 74285 - 237547 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8035\/3 + 2721. Let p(d) = d**3 + 14*d**2 + 24*d + 2. Let h be p(-12). Suppose -2\/3*k**h - c - 32\/3*k = 0. What is k?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + -2 + 16)\/(1\/(-13) - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*12\/18*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97e1 (base 16) in base 3?\nAnswer: 1222100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*d + 816 = -864 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, -0.5, 138\/11, -9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*p - 289*p = c - 10, 3*p + 13 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/53, -3\/2, 0, 0.4 in decreasing order.\nAnswer: 0.4, 0, -1\/53, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -306 - -343. Suppose -4*k = 4*o - 40, g*o - 10 = 40*o - 5*k. Solve 5*i + 10 + o = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, m: 8}. What is prob of sequence ttm?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 86 = 7*c, -9*f + 9*f + 96 = 4*f - 5*c for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 152*s + 35. Let d(p) = -51*p - 12. Let o(t) = 11*d(t) + 4*g(t). What is the tens digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:47 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2111148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -835973\/30 - -27863. Let t = 689\/90 - 38\/5. Find the common denominator of f and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 384826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -0.5 (c) -0.07 (d) 0.02047 (e) -3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + a - 2*a = 0, 0 = -4*a + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 2782?\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1458406.\nAnswer: 11667248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*g**3 - 50 + 28 - 21*g**3 with respect to g.\nAnswer: -102*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 + i + 10*i**2 - 20*i**2.\nAnswer: -22*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2637, 5278, 7915, 10548, 13177?\nAnswer: 15802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357852\/24399*(-150)\/(-22).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*n - 46*n + 162*n - 88*n.\nAnswer: 316*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*x**4 - 60*a**2*x**2 + 10*a**2 - 157782*a*x**4 - 3*a*x**2 + x**4 + 158*x**2 wrt x.\nAnswer: 48*a**2*x - 3786768*a*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose -p*m = -3 - 1. What is the lowest common multiple of 21\/4 + (-2)\/8 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4727913013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, w: 1, b: 4, x: 2}. What is prob of sequence bbwt?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5229947 or 5229836?\nAnswer: 5229947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 + -6 + 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 23*g**2 + 6*g - 136. Let r be f(23). Suppose 0 = 5*n - 3*l + 755 - 4101, 2*n - 1332 = -r*l. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 + 3020*u**3 + 18375*u**2 - 45790*u + 24400 = 0.\nAnswer: -8, 1, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pidimpmppiiwppppp. What is prob of sequence pw?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 62*t - 615. Give r(8).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.26 and -0.2.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5008 and 5\/11894?\nAnswer: 95152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10854, -10850, -10840, -10824, -10802, -10774, -10740?\n\"Answer: 3*s**2 - 5*s - 10852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2242*v**2 - 2412*v**2 + 15 to the form f + b*v + h*v**2 and give h.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + 2*x**2 + x**2)*(10 - 24 + 14 - 477*x).\nAnswer: 1908*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-278)\/(-7) - 6\/(-21). Suppose 35 = -4*v + 5*v. Suppose 3*l = 2*t + v, f = 4*l - t - 0*t. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62964 is divided by 470?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0813 less than 3?\nAnswer: 3.0813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8753 + -8753. Solve 9*p = -r*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + f**5 - 5*f**5 + (-f**5 + f**5 - 2*f**5)*(-1 + 1 + 2) + (2*f**2 + 0*f**2 + 2*f**2)*(-2 + 2*f**3 + 2).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - ((-2 - -6) + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.875 + -0.125. Let r = -58.961 - z. Round r to three decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 9*s**5\/10 - 6*s**4 + 8*s**3 - 60. Solve y(g) = 0 for g.\nAnswer: 0, 4\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaabbmyabmga. Give prob of sequence baay.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 8. Let f be -2*(-2)\/4 + 2 + -3. What is the closest to v in -0.1, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*k + 145 + 35. Let m = 14 - 10. Solve m*y - k = 2*h + 10, -2*h - 4 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -408*p - 119. Let f(g) = -17*g - 5. Let d(s) = -119*f(s) + 5*k(s). Let q(m) = -3*m**2. Determine q(d(x)).\nAnswer: -867*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.0371387*-9\nAnswer: 9.3342483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.524 + -3.024. Let p be (3\/(-66))\/((-1)\/4). Which is the closest to -1\/2? (a) p (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-18)*2 + (-3182)\/(-18). Let b = x + -98. Which is greater: b or 78?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11023 - -1202130?\nAnswer: 1213213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -810 (c) 2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 246.859 - 247. Let c = m - -1.141. What is the nearest to c in 1\/11, -1\/4, -5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -1. Suppose 4*g - 6*g = -0*g. Suppose g = 2*i - 91 + 51. What is the highest common divisor of u and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -547*q - 20. Let c(m) = -3. What is 6*c(w) - j(w)?\nAnswer: 547*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/3 + 17491952*c\/3 + 139935872\/3.\nAnswer: -4*(c - 4372996)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g*i**2*w**2 - 2*g*i**2*w - 2*g*i**2 + 5*g*i*w**3 - 63*g*i*w**2 + 8467*g*w**3 - 22*g*w**2 + g + 10*i**2*w**3 - 3*i**2*w**2 wrt w.\nAnswer: 30*g*i + 50802*g + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 20*r**2 + 257*r - 932. Determine p(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 240 + -100. Let d = c + -122. Solve -16 = g - d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35415*0.65.\nAnswer: -23019.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 4*k, 0 = -4*c + k + 28720. Round c to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 11. Suppose -x*a - 4*z = -3*a + 8, -2*a - 4*z = -52. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -583152173 + -4?\nAnswer: -583152177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 582 - 1804. Is (-156)\/18 + 8 - v\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/13 + 56*s**3\/13 + 444*s**2\/13 + 56*s + 26.\nAnswer: 2*(s + 1)**2*(s + 13)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a litre in millilitres?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/5)\/(-7) - 0)\/((-112)\/700)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/5 - 18911*b**4\/5 - 89339566*b**3\/5 + 639348846*b**2\/5 + 12350436579*b + 498989141937\/5 = 0.\nAnswer: -9459, -13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 34*p = -5*x, 7*p = 12*p + x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 963*x - 133*x - 163*x - 1995*x)*(4*x - 4*x + 2*x**3 + (4*x - x + x)*(2*x - x**2 - 2*x)).\nAnswer: 2*x**5 + 6508*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0 + 3. Let y = -4 + i. Which is greater: 1\/7 or y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + r - 2*r + 31, -2*n + 2*r + 28 = 0. Let f(w) = 7*w. Suppose -4*s = -2*p - 16, 16 = -s + 5*s + p. Let q(z) = -3*z. Calculate n*q(v) + s*f(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/2*(-22)\/(-330)*225.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - b**2 + 0*b**2 + b**2 + 0*b**2 - 2*b**2 - 3*b**2 + 3*b**2 - 2*b**2 + (3*b + b - 3*b)*(-2*b + 0 + 0) to s*b**2 + v*b + c and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.6364 times 6.6\nAnswer: -4.20024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*g**3*l**3 - 10878*g**3*l*w**2 + 615*g**2*l**3 + 2*g**2*w - 291*l*w**2 wrt g.\nAnswer: -582*l**3 - 65268*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.05 + 0.05. Let y = -63 - -318\/5. Let l = -4.4 + 4. What is the nearest to d in l, y, -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2076072*z + 935598?\nAnswer: -2076072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 5, e: 7, p: 4}. What is prob of picking 1 e, 1 p, and 1 l?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6508264 and -0.1.\nAnswer: -650826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*l + 80*l - 92*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -a. Let t be 7 - (3 - (0 + a)). Let i(b) be the second derivative of -b**3\/6 + 11*b**2\/2 - 1044*b. Give i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 + -7 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -37*d**4\/4 + 8*d**3\/3 + 30. What is the third derivative of m(c) wrt c?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511481209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2\/2 + 2*r + 1. Let b be t(-7). Which is greater: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -558.07 + -1497231.93. Let o = t + 1497788.700014. Let r = o - -1.3. Round r to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7\/(m\/m**(1\/24)))\/(m*m**(-4))**(-1\/15) assuming m is positive.\nAnswer: m**(701\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7936904mm?\nAnswer: 0.07936904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 3*i**2 + 0*i**2 + (-4 - 7*i + 4)*(5*i - 3*i - i) in the form s + v*i**2 + w*i and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -17441 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10330 + 10336. Solve -a*j + 8\/5 + 36\/5*j**2 - 14\/5*j**3 = 0.\nAnswer: 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81256469?\nAnswer: 7, 11608067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 44436 - 44428. Put 20, -3, o, 0, 2 in decreasing order.\nAnswer: 20, o, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/36*9)\/(2\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i**2 + 5. Let r(z) = 544 + z + 0*z - 274 - 270. What is r(v(b))?\nAnswer: -15*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763715847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-4)\/(-14)) + -2. Let x = t + -3. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 18*l + 7. Calculate w(15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 244858737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -344209 > -344210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 114 - -3679?\nAnswer: 378d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5524140 (base 7) to base 12.\nAnswer: -288803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -14*t + 86. Let g(f) = 4*f**3 - 14*f**2 + 5*f + 3. Let k be g(t). Which is bigger: 4\/65 or k?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 120400400?\nAnswer: -120401001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -4, -303, -2, 8, 0 in ascending order.\nAnswer: -303, -8, -4, -2, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.1771\nAnswer: -0.3771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 18687000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 442301 (base 5) in base 14?\nAnswer: 582a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8116, -8113, -8110, -8107, -8104, -8101?\nAnswer: -8098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.183732 and -1029622?\nAnswer: 1029622.183732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 1\/6, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.649877l to millilitres.\nAnswer: 6649.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 5. Let a be g(5). Suppose a = -3*c + c. Let p(s) = s**2 + s - 200. Let f be p(c). Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/8 + 1\/(-4). Suppose o - w = -4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79355401.\nAnswer: 79355401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4537*r + 2 + 2201*r + 2324*r - 2.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121417002 a multiple of 4193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {i: 3, f: 1, d: 4, a: 1, z: 1, n: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 154?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:31 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117988?\nAnswer: 2, 3, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36347483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 2 + 1 + 4*h)*(23*h + 32*h + 83*h) in the form c*h**2 + q + l*h and give c.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 6. Let v(f) = 34 - 36 + f + 1. Let z be ((-18)\/8 + 2)*-4. Let g(s) = 4*s - 11. Let p(w) = z*g(w) - 6*v(w). Give 5*c(m) + 6*p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -36163862\/3 < -12054620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.2. Let x = 0.06179 + 8.93821. Which is the closest to x? (a) 0.4 (b) -2\/17 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 58. Let h(m) = -m**3 - 9*m**2 + 10*m + 14. Let c = 4 + -14. Let p be h(c). Calculate the greatest common factor of s and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295506 or -0.04?\nAnswer: 295506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**1\/t)\/t)*t**(-4)*(t**1)**(-7\/8))\/((t*t\/(t\/(t\/(t**(-1\/2)*t*t*t))))**(-1\/4))**33 assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/45)\/((-5)\/((-100)\/(-8))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -444 by 148.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 17*n - 192. What is m(13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6)*((-68)\/8 + -5). Suppose 0 = -i*h + 14*h - 2135. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(144) + 5 + 2 + sqrt(5))**2 - (sqrt(125) - (sqrt(125)*-5)**2)*-1.\nAnswer: -110491\/36 + 64*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5109361 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 6) + 2 - ((17 - 7) + -18).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-11\/3)\/b)**(-22)\/(b**19*b\/b**33))**43 assuming b is positive.\nAnswer: b**(12083\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331.528 + 5?\nAnswer: -2326.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((154\/2838)\/(15\/(-45)))\/(21\/(-3)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 (base 5) in base 7?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7\/((j\/(j\/j**(-3)*j))\/j))\/(j\/((((j\/(j*j*j**(-7)*j)*j)\/j*j)\/j)\/j)*j*j**4\/j))\/((j**(-1\/3))**(1\/68)*j**0*j*j**8) assuming j is positive.\nAnswer: j**(409\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 48. Let n be w(-14). Let m = 42 - n. Solve -5*a = -23 + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + i)*(-9 + 19 + 26)*(-2 + 1 + 0)*(-3 + 0 + 0).\nAnswer: -324*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22095902 = 128*r - 22099102 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*m - 2*m. Let p = 204 + -106. Let q be (-8)\/m*(-21)\/p. Which is the smallest value? (a) q (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/111, 0.06, 0.72?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, y: 6}. Give prob of picking 2 g.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 18*z + 80. Calculate the smallest common multiple of t(-9) and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 18425836?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 49*g**5\/15 + g**4\/24 + 167*g**3\/6 + g**2 - 35. Find the second derivative of n(o) wrt o.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239 + 267. Let i be (-4)\/(-6)*(-1 - -7). Let m(x) = -i*x**2 - x**3 + d*x - 27*x + 5 - 2. Calculate m(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 0, 6*j - 7 = 3*j + 4*x. Let r be -8*(-1 - j\/(-12)). Let m(s) = 6 + 2*s**r + 7*s + 2*s**2 - 3*s**2. Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13033 + 12000?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 464*y + 28715. Give s(-62).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 50 = s. Suppose -3*j = 2*x - s, -3*x = -0*j - 2*j - 41. What is the second derivative of -u - 3*u**2 - x + 11 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8812.729 grams to micrograms.\nAnswer: 8812729000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*x - 34 - 1 = 0, 4*y = 4*x - 1770 + 1814 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 2*p + 4. Let y be m(-5). Suppose 0 = -21*d + 19*d + y. Let r = -29 + d. What is the smallest common multiple of 14 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2866 (base 11) to base 5.\nAnswer: 104302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210408.\nAnswer: 2, 617, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901222993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2796*q - 5 = 2793*q, 73 = w - 22*q for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*k + 3, 5*k + 622 = 4*f + 616 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29481 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 + 3 = 0, -2 = -5*m - 2*h. Let d(v) = m*v - 3*v + 7 + 10. Let k be d(16). What is the highest common divisor of 7 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 449428 divided by 9172\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let n(a) be the first derivative of 4*a**3 - 6. What is n(k(h))?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(228) - sqrt(228)) - 3*(sqrt(228)*-1 - sqrt(228)))\/(-4*sqrt(36)\/sqrt(3)*-4).\nAnswer: 9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrererre. Give prob of sequence ee.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z + 14. Let s be ((-6)\/15)\/((z - -4)\/(-60)). Suppose -s*f + 14 = -f. What is the least common multiple of f and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -38, -44, -50, -56, -62?\n\"Answer: -6*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 - n + 2. Let l be m(-4). Let b be ((-18)\/4)\/(46\/(-1104)). Suppose b + 60 = l*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -117*d + 113*d. Suppose -y - 6 = -d. Suppose 0 = -y*t + 5*z - 224800015, -5*z = 3*t - z + 168599988. Round t to the nearest 1000000.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 22*l**5 - 8*l**3 - 12*l**2 + 8*l. Let s(p) = p**5 - p**3 - p**2 + p. Let o(v) = c(v) - 8*s(v). Find the third derivative of o(g) wrt g.\nAnswer: 840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 1, c: 2}. What is prob of picking 2 c, 1 r, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y + 34. Let u(w) = -9*w - 33. Let x(o) = -4*u(o) - 3*v(o). Let c be x(-5). Solve c*d + 12 = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/(57\/24 + -2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -10 + (-31 - -37).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -37\/2*u**2 + 0*u**3 + 0*u**5 - 4*u**6 + 0*u**4 + 0*u + 51. What is the second derivative of g(d) wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*t - 138 + 152 = 0, 0 = -7*m + t - 38 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-3\/4)*y))\/y**(-6\/7)*y**(-2)\/(y**(-14\/5)*y) assuming y is positive.\nAnswer: y**(57\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**3 + 11*f - 6. Let m(o) = -8*o**3 - 12*o + 7. What is -7*h(i) - 6*m(i)?\nAnswer: -i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330240 divided by -22?\nAnswer: -105920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154017, -308024, -462031?\n\"Answer: -154007*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11517 - 7870. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmk when three letters picked without replacement from zwzpmjwwjwkjjwj.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*a - 309*a**2 - 14*a + 85*a wrt a.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 734, 785, 836, 887, 938, 989?\n\"Answer: 51*t + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:55 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7836733.1 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c\/((c*(c\/((c**(-14)\/c)\/c*c))\/c)\/c)))\/c)\/(c\/(c*c*((c**(-32)*c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -460*u**2*v**3 + 152*u**2*v - 2*u*v**5 - 2*u*v**2 wrt v.\nAnswer: -2760*u**2 - 120*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.593434 - 142.592804. Let w = -151 - -282. Let f = o + w. What is f rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c5dd4 - -3e?\nAnswer: -c5d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 divided by -112?\nAnswer: -845\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 929881490 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 413.0155 millennia?\nAnswer: 4130.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-736)\/(-120) + (-2)\/15. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94041 (base 11) in base 13?\nAnswer: 4a561","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 1933 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 575175064 + -2?\nAnswer: 575175062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39166, -78504, -117842, -157180, -196518?\n\"Answer: -39338*p + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + o - 169. Let b(w) = -w**2 - w + 1. Let i(a) = 2*b(a) - j(a). Does 19 divide i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(605))*-1)**2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/60 - m**4\/9 - m**3\/18 + m**2 - 15*m. Factor h(w).\nAnswer: -(w - 1)*(w + 2)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*x = -15, -5*d - 3*x + 23 + 30 = 0. Suppose -o + 2*r + d + 44 = 0, o = r + 51. Suppose 0 = -5*m + z + 41, -z = -4*m - 4*z + o. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71767.02 years in decades?\nAnswer: 7176.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/((-1)\/(-45)). Let r = g - 2. Suppose 0*c + 100 = 4*c. Calculate the remainder when c is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/7, -1, -54\/13, -4 in decreasing order.\nAnswer: 3, 2\/7, -1, -4, -54\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -237319.04 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32009 is divided by 84.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 i when three letters picked without replacement from hiih?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5235 and 68\/250233?\nAnswer: 1251165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 4\/3 (c) 61\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than -18773671?\nAnswer: -18773670.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let k(v) = 5*v**2 - 3*v + 2. Let s(l) be the second derivative of -3*l**4\/4 + 5*l**3\/6 - 2*l**2 - l. Let o = 27 + -22. Give o*k(c) + z*s(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3430*d**3 + 3*d - 9*d - 3434*d**3 + d.\nAnswer: -4*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-10) - -1)*(-585)\/(-26). Suppose 31 + x = q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388712334?\nAnswer: 2, 3, 1093, 59273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m**2 + 4*m**2 + 2*m**2. Let i(w) = -w**2. Give i(b(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50335193.\nAnswer: 4261, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7773*u - 131097. Determine g(-17).\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + 2*sqrt(176))**2.\nAnswer: 48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*c**4 - 379 + 423*c - 936*c - c**2 + 513*c as q + g*c + u*c**3 + i*c**4 + k*c**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -849765\/2 = -424882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 7575193460*b + 7575193460*b + 3*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-3 + 6 - 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10527683*y**3 + 3285764 wrt y?\nAnswer: -31583049*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3064*f + 30. Let h(s) = 1022*s - 9. Give 10*h(i) + 3*v(i).\nAnswer: 1028*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 2. Let w = 1352.4 - 20.4. Let t = w - 1338. Which is the closest to 3? (a) j (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983 = -86*d + 1855 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 2. Let y be s(7). Suppose -68 = -y*a - 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a minute in seconds?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -0.1 (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 870266 to the power of 1\/2, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43 and -56.\nAnswer: -24.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 690*f. Let q(w) = -34*w. Let r(z) = -15*z. Let h(j) = 4*q(j) - 9*r(j). Determine h(p(g)).\nAnswer: -690*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 585 + -581. Solve -15*k = 49 - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 2730*q - 766712.\nAnswer: 2*(q - 1604)*(q + 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/3 (c) -0.1 (d) -109\/317 (e) 4 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115636254 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((18\/24)\/((-9)\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 58*m - 225902 = 348893. Calculate the remainder when m is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.302 - -0.698. Which is the second smallest value? (a) -0.3 (b) u (c) -0.76 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 3*t. Suppose -5*c + 0*c + 20 = 0. What is the third biggest value in c, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -0.1, 3\/158?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 != -38266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -11*l, -10155*l - 41 = 4*u - 10158*l for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 48 = -3*d, 0 = 3*d + 4*w - 3*w - 48. Solve -3*o - o = -3*n + d, 3*o + 12 = -n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*q - q - 29, 3*g = q + 43. Let n = g - 5. What is the least common multiple of n and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*m - 102 = -595*m. Solve 0 = 4*x + m - 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/21 + 32*p**6\/15 - 124*p. Factor s(r).\nAnswer: 2*r**4*(r + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40c0 - -4?\nAnswer: -40ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(8)\/sqrt(4)))**2 - (sqrt(51)\/(sqrt(18)\/sqrt(6)) - sqrt(17))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 260*y**4 - 1318*y**3 - 1852*y**2 - 795*y.\nAnswer: y*(y - 265)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*d**3 - 2 + (0*d + 2*d - d)*(-2*d**2 + 2*d - 2*d) + 52789*d - 1337*d**3 - 52789*d.\nAnswer: -1341*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62051386 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5790, 11035, 16280, 21525, 26770?\n\"Answer: 5245*d + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011232 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3167 + -1459. What are the prime factors of s?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m - 14. Let z(t) = 1. Let b(u) = d(u) + 4*z(u). Let f = 902 + -907. Is b(f) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*sqrt(275)*-2*1 - (sqrt(110)\/(sqrt(30)\/sqrt(3)) + sqrt(110)\/(-3*sqrt(10)) + 3))**2.\nAnswer: -712*sqrt(11)\/3 + 348560\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1310745 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -5, -3, 66, 4, -7, -1 in descending order.\nAnswer: 66, 4, -1, -3, -5, -7, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 9, -0.069, -5\/4, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12297519 is divided by 136639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, 5, -17, -4, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -2723.\nAnswer: -51737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 19*a - 32. Let v be g(13). Suppose 0 = -3*b - 5*z + v, -5*z = -z - 8. Which is smaller: b or 14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 123 - 8*x + 249 + 2*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 - 144*d + 18810. Let s(q) = 14*q**2 - 408*q + 56428. What is -17*j(v) + 6*s(v)?\nAnswer: -v**2 + 18798","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 469, 448, 413, 364, 301?\n\"Answer: -7*r**2 + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -5 + (8 - (5 - (-3 + 1))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 29\/3. Suppose 12*y = 11 + 13. Are s and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-3\/11)*c)\/c)**5\/((c*c**(-7\/2))\/(c*c**(-16))))**(-12) assuming c is positive.\nAnswer: c**(510\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 594*t - 4107. Let h be m(-7). Let -8\/7*c + 8\/7 + 2\/7*c**4 - 2\/7*c**5 - 10\/7*c**h + 10\/7*c**3 = 0. Calculate c.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1032803 at most -1032805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 27*i**2 - 76*i + 4255. Calculate z(19).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295727 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 12 = -5*t, -14 = -10*t + 5*t - 2*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/181 + 2669\/2715. Let y = m + -19\/15. Which is bigger: 38 or y?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 3*f + 2*f + (3 - 5 + 0)*(3*f + 2*f - 4*f) + 2*f - 6*f + 2*f - 76 + 76 - 17*f)*(-1 - 1 + 8) to h + j*f and give j.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -1\/3 (c) -18\/29 (d) 2\/15 (e) -2\/3 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5\/4 + 175*f**4\/2 - 715*f**3\/4 + 90*f**2 = 0. What is f?\nAnswer: -72, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 3\/3469, 4, 0.2, 1353?\nAnswer: 3\/3469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-2\/7)))**46*(b**(-1\/2)\/b)\/b**(5\/2))**(6\/19))**(6\/11) assuming b is positive.\nAnswer: b**(-4320\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23382072 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*z + 2. Let x be (3 - 0)\/3*z. What is the derivative of -2 + x - 8 + 0*v**3 - 3*v**3 wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 247 - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.2 + -2.2. Let d = 8 - u. Suppose -6*r - 6 = -3*r. Sort d, -0.1, r.\nAnswer: d, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48990 is divided by 6983?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:20 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 + 311*t**2 - 3*t - 4*t.\nAnswer: 276*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/48672470 and 89\/4424770.\nAnswer: 48672470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40727 and 5567?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - h**2 + 5.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33975004 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 9*j + 4 = 0, -3*w = -2*j - 134. Is w a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 363*n - 294. Calculate r(90).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in 0, -2\/9, 6\/71, 17, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -958*s - 341. What are the prime factors of n(-5)?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o - 1. Let i(x) = -x**2 - 7*x + 2. Let m = 3857 + -3856. Calculate m*i(y) + 2*n(y).\nAnswer: y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 9*o**2 - 4*o + 13. Let c(k) = k**3 + 10*k**2 + 3*k - 12. Let f(a) = 6*c(a) + 5*i(a). Calculate the remainder when 91 is divided by f(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 10*x + 9. What is w(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3239917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*q**3 - 806 + 806 + (3*q - 2*q + 8*q)*(-2*q**2 + 6*q**2 + 2*q**2).\nAnswer: 86*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.025 - -6.025. What is the second biggest value in -2\/11, -3, d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, c + 5*r + 345 = 2*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18 - (-4)\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 56) + 22 + -5 + 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(28)\/sqrt(4)) - sqrt(1089)*2)\/(sqrt(33)\/(sqrt(44)\/(-2*sqrt(4)) - sqrt(11))).\nAnswer: 63*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2530368317 - 423*g - 2530368317.\nAnswer: -423*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -2. Let s(b) = 5 - b + 8*b - 11*b - 15. Let a be s(z). Solve -l - a = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.6405 millennia to years.\nAnswer: 707640.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -2 + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7839445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {r: 2, g: 11, p: 5, o: 1}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -29891*o + 20863910. Calculate x(698).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*r + 2007 - 1974, 3877 = -5*r - 299*c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 10 - 2)*(-449 + 906 - 455 + 2*m) to l + r*m and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561461 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*k + 5*x, x + 3*x + 17 = -3*k. Let o = k - -39. Let r = 65\/2 - o. What is the third smallest value in -2, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 862*0.4\nAnswer: 344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 137 - 612*a**2.\nAnswer: -612*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnoooinliininin?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4*o - 38, -5*o + o = -3*z - 10. Which is the third biggest value? (a) 1.3 (b) z (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0) + (-8)\/(-8). Let z(d) = -l + 3 + 4*d - 3*d**3 + 4*d**3 + 6*d**2. Calculate z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8605, -17119, -25533, -33847, -42061, -50175?\n\"Answer: 50*b**2 - 8664*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 154 = -134 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 3*b + 6, 0 = -5*y - b + 16. Suppose -3*t - 5 - 1 = y*l, 2 = 4*t + 2*l. Calculate the highest common factor of 33 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibiiiibiiobibiib. What is prob of picking 1 o and 2 b?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -697\/3 - -206. Let p = -26 - j. Which is the nearest to 0? (a) -2\/7 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.331.\nAnswer: 0.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 770*l**3 - 29645*l**2.\nAnswer: -5*l**2*(l + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/11 + 1003412*v\/11 + 1003410\/11 = 0. Calculate v.\nAnswer: -501705, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 122*g - 2922. Calculate i(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtggb. Give prob of picking 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13 - 53 + 4*q - 67 + 62 - 52. Calculate g(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 4*v + 1. Let b be p(-5). Suppose -5*r + 17 = 2*s, 3*s + 2*r = 2*s + 8. Let u = s - b. Is u greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222*a*m**4 + 2*a*m**3 - 9*a*m**2 - 101*a*m - 4*m**4 + 2*m**3 - 3*m**2 - 2 wrt m?\nAnswer: -5328*a*m + 12*a - 96*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963 (base 14) in base 5?\nAnswer: 213324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m**4 - 82*m**3 + 213*m**2 - 152*m + 28 = 0. What is m?\nAnswer: -14, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - -3 - (14 + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from uuxxgxxxxuguxxug?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.4 and -10.959252.\nAnswer: -14.359252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 6*n**2 - 6*n + 7. Let w be d(5). Suppose -3 = -w*r - r. Let h = r - -3. Solve 12 = h*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -i + 3*i - 3*w, 0 = -5*i - w + 10. Suppose i*b - 50 = -4*x, -61 + 8 = -5*x + b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*s = 12, 0*r + 20 = 4*r - 2*s. Suppose -3*c - 5*a = -23, -4*c - a + 42 = -0*c. Let y = c + -5. Calculate the remainder when y is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/20 + t**4\/12 - t**3\/6 + t**2\/2 - 141*t. Let u(w) = 5*w**3 + 7*w**2 - 4*w - 2. Let d(b) = 4*q(b) - u(b). Give d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 31 = -4*v. Let n = v + -4. Find z such that -2*z**2 - 2*z**2 - 14*z + 4 - n*z**2 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5. What is the smallest value in -0.3, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - -a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 a when four letters picked without replacement from nhntzatnhgghzn.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -16)\/(1387\/38 + -17).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1147*y - 71. Let z be w(-15). Let m = 31856 + z. What is m rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = -28 + 88 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -20.91. Let k = -0.69 - j. Let t = k + 0.599998. What is t rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let s be 3*1 + t\/(-2). Let j = 1 - s. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105481308*t**3*y**4 + 32*t**3 - 2*t**2 + 782*t + 9 wrt y?\nAnswer: 421925232*t**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-100)*(-105)\/(-14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 3*j**2 + 5*j**2 + (-3*j + 4*j + 2*j)*(-4 + 0*j + 2*j - 4*j) - 3*j**2 + 0*j**2 - 3*j**2.\nAnswer: -10*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 w when three letters picked without replacement from iiiiuujijwi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9645, -9613, -9561, -9489, -9397, -9285, -9153?\nAnswer: -9001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-4)\/40)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1317\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 28*u**2 - 236*u + 456. Let c(m) = -9*m**2 + 79*m - 152. Suppose n + 1 = 4, 5*n = 2*t - 17. Let i(w) = t*c(w) + 5*p(w). Factor i(o).\nAnswer: -4*(o - 19)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359 is divided by 196?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 2325*s**4 + 46413*s**3 - 915861*s**2 - 959946*s = 0.\nAnswer: -31, -1, 0, 13, 794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 times -0.1634668?\nAnswer: 1.09522756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-186)\/155)\/(1 + 26\/(-20)). Suppose 4*a - 2044 = j*g, 8*a - 12*a = g - 2029. What are the prime factors of a?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32979407 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36 (b) 0.1 (c) -339 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*p + 38*j**2 + 1900*j*p*s + 34*j*s + 4*j wrt p.\nAnswer: 2*j**2 + 1900*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66233860 rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 12. Suppose 3*a - b = 2*a. Let r(x) be the third derivative of -x**5\/30 + x**4\/6 - x**3\/3 - 62*x**2. Calculate r(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143995 is divided by 71270.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-1356))\/((-36)\/(-48))?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**3 - 191*q**2 + 3. Let p(l) = -23*l**3 - 769*l**2 + 13. Give 13*f(t) - 3*p(t).\nAnswer: -9*t**3 - 176*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 57. Let h = y + 64. What is h rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1163 - 1168. Let l(i) = i**2 + 11*i + 32. Determine l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*s - 35 - 1 + 7 + 10 = 0, 2*p + 3*p = -2*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -2231?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122401 (base 5) in base 15?\nAnswer: a9d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7 - -8. Let h(k) = -k**2 + 4513*k + 260495. Let m be h(-57). Which is the third biggest value? (a) -2 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.0162 micrograms to milligrams.\nAnswer: 0.0550162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**2 - 4*y - 3. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2728 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131*x**3 - 2*x + 41 wrt x?\nAnswer: 393*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrrnrttgtrgtfrt. Give prob of picking 2 t, 1 r, and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let s be j(-5). Sort s, 4, 3, -4.\nAnswer: -4, 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2414 + 2389, -4*d = -5*s - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -258650 rounded to the nearest 1000?\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 28. Let h be f(11). Suppose -h*k - 224 = 3*v, v + 36 = 2*k - 24. Let r = 96 - v. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2984 and 8952.\nAnswer: 8952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 14*o - 2544. Let z(n) = 424 - 5*n - o. Let d(y) = -1. Let u(q) = -3*q + 6. Let h(f) = 6*d(f) + u(f). What is z(h(l))?\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:17 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214714*b**3 - 35 + 429427*b**3 + 2*b - 214715*b**3 + 9*b**2 to l*b + m + v*b**2 + n*b**3 and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000033112 (base 5) to base 4.\nAnswer: 112113010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y - 48. Suppose -8*z + y*z - 156 = 0. Let t be 2\/(-6) + 481\/z. Calculate the highest common factor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 28*s**2 - 217*s + 1923. What is f(9)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4*5\/20)*20\/(-80)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -46*s - 267. Let c be x(-6). Solve 259*i = 262*i + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2089856 and 129456.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 15*k + 30. Give y(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*m**5 - 11413*m**4 - 88*m**3 + 29263*m**2 - 7*m + 312?\nAnswer: 720*m**2 - 273912*m - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 + 5*q - 6. Let l be f(6). Suppose 128 = k + 2*t - 5*t, k + 5*t - l = 0. What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*f - 14073 = -5232 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 10, -4*o = -3*y - 38 + 171. Suppose 2*a - 24 = -2*u, 4*a = -2*u + y - 3. What is the common denominator of 9\/a*(-249)\/9 and 27\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2 - 35*x + 5 to the form c + i*x and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 + 1097403*q\/4 - 1097409\/2.\nAnswer: 3*(q - 2)*(q + 365803)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60201424 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 192306496 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 1. Let c be (130\/65)\/((-39)\/(-9) + -4). Let w(a) = 7*a**3 + 3*a**2 - 2. Determine c*o(f) - w(f).\nAnswer: -f**3 - 3*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) -5 (c) -415 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0*z**2 + 0 + 2*z - 1\/6*z**3. Let g(f) = -f**2. What is g(q(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546 (base 7) to base 15.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304)*-4 - sqrt(304).\nAnswer: -20*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53606 and 1568.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**29*q*q*q)\/q)\/q)\/(q*q**20\/q) assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8649580 + 8650020 = -3*c + 196*x, 0 = 5*c - 0*c - 5*x + 90 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 10*b**2 - 11*b - 55. Let n be j(14). Suppose p = 539 + n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 105*u. Let n(q) = q. Give c(n(v)).\nAnswer: -v**2 + 105*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 (base 13) in base 9?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127275608.\nAnswer: 2, 3, 61, 769997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -2. Suppose 2*j + i*j = 0. Suppose j = -4*z + 60 + 4. What is the greatest common divisor of z and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 108*v**2 + 103*v + 289. Let h be n(53). Calculate the highest common factor of 7280 and h.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/227 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177 + 177. Let a(k) be the first derivative of -k**2 + k**4 - 1\/3*k**6 + 0*k + 1 + t*k**5 + 0*k**3. Find u, given that a(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 354244*n**2 + 1416892*n - 1771140 = 0. Calculate n.\nAnswer: -88557, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1285*f**2*p - 96*f**2 - 71*p - 161 wrt p.\nAnswer: 1285*f**2 - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 13*o**2 - o - 24. Let q be k(13). Which is the third smallest value? (a) q (b) -1\/3 (c) -1\/10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 3*m + 2. Let y(a) = -24*a**2 + 6*a - 105. Determine -2*u(h) + y(h).\nAnswer: -26*h**2 - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7260 and 94215?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11650?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -52*b**3 - 5*b**2 - 7*b + 5. Let y(c) = 78*c**3 + 8*c**2 + 11*c - 8. What is -8*f(v) - 5*y(v)?\nAnswer: 26*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(1250)*-1) - (-1*sqrt(1250) + 3 - sqrt(1250) - (-1*sqrt(1250) + 5)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 28012*t + 28012*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**5\/60 + 17*r**4\/24 + 6*r**3 - 8*r**2 + 25*r. Let x(n) be the first derivative of s(n). Does 6 divide x(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2 - 12 + 6 - 9*v + 0. Let t(n) = -10*n - 5. Determine 7*o(q) - 6*t(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 10*x**2 - 22*x - 20. Suppose 271 = -4*m + 27. Let r = 53 + m. What are the prime factors of g(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) - (-2 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o + 0*o)*(-3*o**2 - o**2 + 5*o**2) + 1 - 1 - o**4 + (-10*o**3 + 16*o**3 - 4*o**3)*(-2*o + 2 - 2)*(-1 - 3 + 7).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 70 + 20. Let m be (-8)\/p*18\/(-12). Which is the second smallest value? (a) 3 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1325 at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*m**3 - 447*m**2 + 1.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 + 47976*m\/7 - 95940\/7.\nAnswer: -3*(m - 15990)*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-14)*903\/(-430))\/((-1044)\/20).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*j + 1 + (-1 + 1 + 1)*(-j + 3*j - 4*j))*(-2 + 2 + 7*j) - 2*j**2 + 7 - 7.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 348*y + 15614.\nAnswer: -2*(y - 211)*(y + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**6\/120 + v**5\/40 + v**4\/48 + 3*v + 3. Let d(r) be the first derivative of g(r). Determine k so that d(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976741 is divided by 172.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/4 + 10*r**3\/3 + 6*r**2 - 7*r + 8. What is the units digit of l(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*8\/(-160))\/6\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + (3 - (-9 + 12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 371*n + 376*n**2 - 185*n - 186*n in the form p*n**2 + h*n + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-5)*40\/70)\/((-24)\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50005 and 4218915.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 27 (c) -1\/4 (d) -0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*40\/12. Suppose -p = -i*p. Solve -10 = 2*g - p*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 62*v - 259. Determine u(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26.1 or 788402?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 249 and 0.7381.\nAnswer: 249.7381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4632 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 20. Suppose -2*z = 2*y - 12, -3 = -5*z + 3*y + u. Solve 0 = -a + f + z*f - 5, -1 = -2*a - f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 99 = 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4) + 0\/4. Suppose h*w + 1260 = 4*w. Suppose -w = -12*g + 5*g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*k + 23. Let a = k + 6. Suppose -72 = -a*b - 2*b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 12*j**2 - 10*j - 1. Let n be q(13). What is the highest common factor of n and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 44*z - 58. Is c(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 588*r**3 - 105488*r**2 + 5156928*r + 22353408.\nAnswer: -(r - 252)**2*(r - 88)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i - 3*c = -1017, 24*i - 25*i - 2*c = -6*c - 22 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:01 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 5 - t**3 + t + 4*t**2 - 12*t**2 + t. Let h be a(-9). Let k = 87 - h. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28983, -28992, -29007, -29028, -29055, -29088, -29127?\nAnswer: -29172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 7*r)*(-2*r - 2 + 2) + (-6*r + r + 4*r)*(-175*r - 193*r - 276*r).\nAnswer: 652*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 5*x**2 + 2*x + 14. Let q be y(-5). Suppose -q*z + 4410000 = 11*z. Round z to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-16))\/(((-90)\/(-32))\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -154 - 2*w**2 + 154. Let u(s) = -9*s**2. What is u(a(r))?\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/36 and 46\/99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**2 + 4*f + 1\/18*f**5 + 4\/27*f**3 + 4\/27*f**4 + 1\/135*f**6 + 4. Let w(s) be the first derivative of g(s). Factor w(p).\nAnswer: 2*p*(p + 1)*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-12)*432\/126*19\/((-1330)\/(-15)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*m + 36, 4*m - 4 = 3*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(162\/(-4)) - (-2368)\/36. Suppose -54*i + 60*i - x = 0. Solve -i*o - 5 = -12*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9633.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*(r*r**(-4))\/r)\/((r*r**(-2)*r)\/(r**(-5)\/r))*(r**(-24))**(-36) assuming r is positive.\nAnswer: r**855","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -5*x. Let h be (x + -1)*(-7)\/3. Let z(m) = -m**3 + 9*m**2 - 11*m + 5. Calculate the lowest common multiple of 16 and z(h).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and -17\/174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(76\/(-8)))\/(2*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-5 + 4.\nAnswer: -10*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 10*r - 5. Let t be y(-5). Solve -3*n = -2*b - 6*n - t, 0 = -2*b + 2*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283215*v**5 - 10100*v**2 - 2 wrt v.\nAnswer: 16992900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52787361?\nAnswer: 3, 11, 1599617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24249 is divided by 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(252) + -2) - ((1*sqrt(252)*-4)**2 + -4 + (sqrt(252) - (0 + sqrt(252)))).\nAnswer: -4034 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:37 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77479.\nAnswer: 77479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-490)\/5180*(-24)\/14*(-12)\/(-36).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -28096.\nAnswer: -28121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18683806*m**3 - 17535547*m**2 wrt m?\nAnswer: -112102836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 31*g - 16*g**3 - 10*g - 6*g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37\/8? (a) 37\/40 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10484224)\/(-17920) - (-1 - (-111)\/105) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31543370*s**5 + 49854076*s**2 wrt s.\nAnswer: -1892602200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -1968*j - 4*v - 3868 - 78, -3*j - v - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 6*y**2 + 14*y - 4. Let u be w(-5). Solve 5*l - 31 = 2*n, -l + 2*n = -u + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 9*s + 27. Let x = 6430 - 6440. Determine h(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 - (1 + 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 24*z**4 - 16*z**3 - 96*z**2 = 0. Calculate z.\nAnswer: -6, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 12*z + 6 + 14*z - 4.\nAnswer: 2*z + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2 (c) 0.5 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*m + 48*m + 3933 = -235*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1753e5 (base 16) in base 5?\nAnswer: -342410210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -8 + 4)*(-6)\/(-4). Let b(d) be the first derivative of d**2\/2 + d + 6. What are the prime factors of b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {d: 2, b: 3, s: 5, a: 7}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21285 = -26*y + 763. What are the prime factors of y?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4137026 - -4?\nAnswer: -4137022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34768 times -4.99?\nAnswer: 173492.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21505588439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2*u**5\/5 - 3*u**4\/2 - 4*u**3\/3 + 172. Suppose w(l) = 0. What is l?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v + 18. Let t(n) = -5*n - 2. Give t(o(y)).\nAnswer: 40*y - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22103871 (base 9) in base 15?\nAnswer: e1297d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/6)*j)\/(j*j\/j**(-2))*(j**(2\/7)*j)**38)\/(j*(j\/(j\/j**7))\/j*(j\/j**(-5))\/j*j**(-1\/9)\/(j\/(j\/(j**0\/j)))) assuming j is positive.\nAnswer: j**(4133\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhmfmf. What is prob of sequence nhm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 20. Let i(s) = s**2 + 2*s + 3. Let k be i(-2). Solve x + k = y*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = 3*x, r = 4*x - 0 + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**19\/(u\/((u**(-5)\/u*u*u)\/u)))\/(u**(2\/7)\/u*u)**46 assuming u is positive.\nAnswer: u**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.49 - 74. Round h to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 - 122156*p**3 - 9047616*p**2 - 176112576*p - 317011968 = 0.\nAnswer: -36, -2, 61152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -598 - -611. Solve -g = 2*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.579 (c) -29 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f - 39. Let j(g) = -21*g - 78. Let c(i) = 11*b(i) - 6*j(i). Is c(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)**(4\/5))**(-4\/31)*(q*q*((q*q\/(q*q**6))\/q)\/q*(q*q**7)\/q)**16 assuming q is positive.\nAnswer: q**(4976\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 10:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(171))*1*-1)**2 - ((-5 + 2 + sqrt(171))**2 - (-3 + (sqrt(171) + 0 + sqrt(171) - sqrt(171)))).\nAnswer: 33*sqrt(19) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, y: 1, w: 2, a: 5, c: 1}. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189085517?\nAnswer: 189085517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133977137.810218 - -166.810218. Let k = b + 133977216.000133. Let s = k + -245. Round s to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3*sqrt(304)*2 + sqrt(304))**2 - (-1 + sqrt(304) + -3) - (1 + ((sqrt(304) + 3)**2 + sqrt(304))*3)) + 2).\nAnswer: -176*sqrt(19) + 27924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - c - c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/7 + 12*b**4\/7 + 37*b**3\/7 + 6*b**2 + 16*b\/7 = 0. What is b?\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5117*r = -5118*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 8*u - 456. Let m = -63 + u. Factor -2\/3 - k - 1\/3*k**m.\nAnswer: -(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2500949286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y - 1026331 + 1026330 - 23*y + 12*y.\nAnswer: -35*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 7 = 5*a, 3*a - 17*s = -12*s - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000 (base 2) to base 13.\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 5*a**4\/24 + a**3\/6 - 20*a**2. Let j be x(1). Find b, given that 3*b**4 + 2*b**2 - j*b**4 - 4*b**2 + 4*b**3 + b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6 + 1. Let p(j) = -1 - j - 4 - 2*j - x. Let l be p(-5). Solve 2*v = -l*h - 3, 0*v = 3*h - 3*v + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 173*q - 184*q + 469*q - 147*q.\nAnswer: -35*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65\/151 + -45021\/755. Let i = 59 + r. Suppose 0 = -2*k - 18 + 8. Which is the second smallest value? (a) k (b) i (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 - 5*b**3*p + 4*b**2*p + b**2 + 176 wrt b.\nAnswer: -180*b**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6113, 80, 4 in ascending order.\nAnswer: -6113, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*m + 2*m. Suppose 0 = -m*r + 2*r + 9. Solve -s - 1 = 2*a, -r*a = -0 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q - 3*q)*(q**3 + 6*q**3 - 3*q**3) + 0*q**3 - 2*q**4 + 0*q**3 + 0*q**4 + q**4 - 2*q**4.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240720070?\nAnswer: 2, 5, 23, 769, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 18. Suppose v + 265 = 4*b, j*b + 6*v - 3*v = 143. List the prime factors of b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 16*z**2 + 36*z - 576. Give n(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 0 + -4547 + 4476\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 + 3*x. Let l be d(-4). Suppose g = -3*s + 2*g - l, -4*g - 26 = 2*s. Let t be 0*1\/s - -2. Solve m - 3 = t*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u + 4. Suppose 257 = 29*z - 265. Calculate the least common multiple of u and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:47 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 686065.324 less than 120.35?\nAnswer: -685944.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/17)*x*(x*(x*x\/(x**(12\/13)\/x*x))\/x)\/x*x*x*(x\/((x*x\/(x**(-2\/25)\/x*x))\/x))\/x**19 assuming x is positive.\nAnswer: x**(-89392\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {e: 1, d: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/414 + (-402)\/(-1809)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*p - 679 + 607*p + 221*p.\nAnswer: 2*p - 679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 22 - 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 37*j + 2*m - 11 = 0, -5*j - 31 = -2*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9937 and 687.\nAnswer: 6826719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z - 8 = 0. Suppose -z*o + 54 = -346. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let l(c) = 57*c**2 + 10*c. Suppose 11*k - 58 = -3. Let z(o) = 884*o**2 + 156*o. Let f(y) = k*z(y) - 78*l(y). Determine f(i(w)).\nAnswer: -104*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -134.96. Let s = h - -0.04. Sort s, -3, -0.2 in increasing order.\nAnswer: -3, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/5 (c) 17\/4 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 684\/48 - (-1)\/(-4). Suppose 3*l = f + 22. Suppose -3*u + 5*u = -3*v + 14, -14 = -v - 3*u. Solve -v*n = 2*n - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19212080?\nAnswer: 2, 5, 240151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 1. Give j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -77. Solve -3*v = -3 + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043374 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/6 + (-34)\/51. What is the derivative of -t**z + 34*t**3 + 10*t**3 - 32 wrt t?\nAnswer: 129*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 7) to base 4\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - -110. Suppose -4*z = 48 - j. What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -160*(114\/(-76) - 0\/2). Calculate the highest common divisor of 150 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 42*g**2 + 28*g + 254. Is r(-49) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*s - 19 = 2*a, 0 = -4*a + 3*s - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33880.1l?\nAnswer: 33880100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.261 + 74\nAnswer: 73.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. Let i(b) = b + 3. Let l(g) = g + 2. Let f(y) = 3*i(y) - 4*l(y). Suppose 30*c = 40*c - 20. What is c*f(t) - u(t)?\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -10 + 2. Let x(o) = -2*o + 6. Let r be x(z). Let g = r + 16. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8675 - -10644226\/1227. Let z = b - 92027\/2454. Let y = -303\/10 + -56\/5. What is the common denominator of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 323*y**2 - 9868*y + 146300.\nAnswer: (y - 350)*(y - 11)*(y + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-35)\/(-10) - 4)*-8. Suppose -t - 92 = -4*u + 4*t, -2*u + 40 = -f*t. What is the greatest common factor of u and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 187119 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - u**2 - 2*u + 9. Let k(h) = -9*h**3 + 3*h**2 + 4*h - 17. Let l = 23 + -27. Let b(n) = l*k(n) - 7*w(n). What is b(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-7))\/(-4) - 63\/(-49). Let g = 4 - i. Suppose 4*f = -x + 58, 0 = -2*x - g*x + 5*f + 415. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17 = -5*k + 4*k, k = y - 9. Suppose y*v - 439 = -5*j, -v - 5*j + 91 = -0*j. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*h**2 + h**3 - 14*h**2 + h - 7*h**2 to x*h**2 + v*h**3 + l*h + q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83904, -83899, -83890, -83877, -83860?\nAnswer: -83839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b - 4. Let u be x(4). Suppose u = 4*i + i. Suppose i*h - 4*h = -16. Sort 2, h, 3.\nAnswer: 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 34 = 4*n, 5*g + 7*n = 5*n + 61. Suppose -167 = -6*o - g. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 6:27 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-32 - -25 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:44 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8954341 to the power of 1\/2, to the nearest integer?\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = 3*w, 4*w = 2*w - x + 8. Let t = -63 - -95. Suppose t - 34 = -w*n. Solve 5*h - 26 = -n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 6265670*i**2 + 12531346*i - 6265674.\nAnswer: -2*(i - 1)**2*(i + 3132837)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + -48. Suppose 0 = 3*u + 2*u - j. Let g = u - 4. What is the remainder when 16 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 7*q**2 + 7*q + 14. Let g be b(5). Let v be (-1 - g) + (34 - 31). Solve -5*r - 22 - v = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2326*u - 6 = -3*c + 2327*u, -2*u - 7 = -5*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*7\/2 - -35*(-17)\/(-119). Let r(t) = 4*t**3 - 4*t + 11. Let u(o) = 5*o**3 - 5*o + 11. What is l*u(q) + 3*r(q)?\nAnswer: 2*q**3 - 2*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -0.05?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1\/4)*s*s\/(s*s**25*s) assuming s is positive.\nAnswer: s**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**7\/42 - d**6\/15 + 21*d**5\/20 + 2*d**2 - 59*d. Find the third derivative of n(w) wrt w.\nAnswer: -120*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)\/(58\/7917). Suppose -37*q = -33*q - 5*g - 1067, q - y = -5*g. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -6. Let t be 22\/(-1)*(-7)\/((-42)\/(-534)). Is 5\/r + t\/44 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8083429, -16166863, -24250297, -32333731, -40417165, -48500599?\nAnswer: -56584033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14733 (base 12) in base 6?\nAnswer: -340503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-90))\/((18\/(-3))\/330)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6821, 2\/7, -4, -2, 23812?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 + 90846*x**3 - 726492*x**2 - 2543256*x + 7265760 = 0.\nAnswer: -4, 2, 10, 30274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 93.67. Let p = -0.394 - y. Let o = 0.094 + p. What is o rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w - 3. Calculate o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2*a**3\/3 + 615*a**2\/2 + 434*a + 525. Differentiate x(d) wrt d.\nAnswer: 4*d + 615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + i = 171. Let v be (36\/20 + 0)\/(i\/30). Suppose 2 = -3*d - 5*f - 8, 3*f = 4*d - v. Solve s = 2*w + 5, -2*s = -d*s + w + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:58 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 1653*r + 23341. Calculate g(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10267 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 24*v + 24 = 0. What is the second derivative of 6*p**2 - 3*p**2 + 6*p**v + 40*p - 145*p - 21*p wrt p?\nAnswer: 72*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/2 (c) -0.3 (d) -16609 (e) 0.1 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233605103 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 265*l**2 + 1820*l - 617060. Give z(263).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:26 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -g - j, g + 172 = 5*g + j. Let t = 74 - g. What is the remainder when 114\/10 + 18\/t is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 416 = 5*d. Suppose -3*q + d = -8. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-538 - -520) + (1 - 2) + 0\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -19803*y**2. Let c(d) = -d**2 + 57346*d - 57346*d. What is c(g(f))?\nAnswer: -392158809*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1038985.625093211 + 1038941.48051. Let q = -0.144603711 - v. Let i = q - 44. Round i to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(10\/3)*z)\/((z**18*z)\/z) assuming z is positive.\nAnswer: z**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -128370199*c**3*i - 1112431560*c**3 wrt i?\nAnswer: -128370199*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -241 + 246. Which is the biggest value? (a) t (b) -0.91 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/135)\/(1\/15*6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, -10 in decreasing order.\nAnswer: -2, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**8\/336 + s**7\/42 - s**6\/72 - s**5\/6 - 2*s**3\/3 - 7. Let r(c) be the third derivative of i(c). Solve r(l) = 0 for l.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 15 = 118*m - 121*m, 0 = 4*a + 2*m - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6941020, -13881981, -20822942?\n\"Answer: -6940961*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/(2\/(-10)). Let r(l) = l**3 - 13*l**2 + 2*l - 8. Let o be r(13). Suppose -6*c = -o + 6. Solve 2*s + c*s = -y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -1. Let n = w - -2.7. What is the nearest to -1\/2 in -1, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + -1*sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76) + -2 + -1) - sqrt(76)) + sqrt(76) + sqrt(76)))*4)**2*-3.\nAnswer: -132096 - 4608*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178224 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/7 - 166*c**4\/7 + 3686*c**3\/7 - 10082*c**2\/7 + 9760*c\/7 - 3200\/7.\nAnswer: 2*(c - 40)**2*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14156, 56587, 127306, 226313?\n\"Answer: 14144*h**2 - h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 182418547 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*f**3 + f**3 - 2*f**3)*(-3*f**2 + 2*f**2 - 2*f**2)*(2 + 2 - 6).\nAnswer: 228*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-63) + (-4)\/18. What is the first derivative of 287 + o*t**3 - 2*t**3 - 278 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 18 = 5*w. Suppose -3 = 3*u - w. Solve 5*q - 21 = -4*l + 6*l, -5*q + 15 = -u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 486178 * -1.6.\nAnswer: -777884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 11. Let u be y(8). Suppose z = u*f + 5*z - 21, 17 = 5*f + 3*z. Solve f = 5*x - 3*o + 6, 3*x + 2*o = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 3*k - 3. Let x(c) = -162 - 3*c**2 + 5*c + 4*c**2 + 165. Let j be x(-5). Is h(j) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 1. Let l be q(1). Let d = 8 + l. Suppose -105*o + 101*o = -64. What is the greatest common divisor of o and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8107 + 8109. Calculate the least common multiple of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40080, -80229, -120378, -160527, -200676?\nAnswer: -240825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140395 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 364*u - 2*u**4 - 364*u + (2*u + u - 7*u)*(13*u**3 + 28*u**3 - 6*u**3).\nAnswer: -142*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 8068*b**2 - 362528*b - 23940 = 0.\nAnswer: -133\/2017, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2. Let s(z) = -z**3 + z**2 - 1. Let d(h) = 8*h**4 - 10*h**2 + 2*h + 2. Let y(o) = t*s(o) - d(o). Suppose y(m) = 0. What is m?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, o: 11, q: 1}. Give prob of picking 3 o and 1 s.\nAnswer: 165\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-1*sqrt(90)*-4 - sqrt(90))\/(sqrt(18)\/(-1*sqrt(6))))\/((sqrt(720)\/sqrt(192))\/(-1*sqrt(490))))**2.\nAnswer: -840*sqrt(5) + 35305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/180)\/(16\/(-40)). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 749 + -741. What is the lowest common multiple of 56 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 6 + 1 - w. Let b be s(4). Suppose 0*t + b*t - 6 = 0. What is the least common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 + 2 - 2 - 2 + (-2 + 2 + 1)*(0 + 3 - 1) - 3 + 2 + 2)*(u - u + u)*(-833959 + 833959 - 6807*u).\nAnswer: -20421*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7888853*n + 2. Let o(i) = -2*i**2. What is z(o(a))?\nAnswer: 15777706*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 308.6 + -422. Let p = h - -93. What is p rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 3124642?\nAnswer: -3124634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.176 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15))\/(2*50\/(-150))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Let o(c) = 5*c - c - j + 3. Suppose -2*m - l = -5, -2*m - 2*l - l + 7 = 0. Calculate o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 - 16*c**3 + 25*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6917.81 times -3\nAnswer: 20753.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(311 - 311 - 80*n) + n - 4 + 4 - 4*n - n - n + (-5*n + n + 3*n)*(-1 - 2 + 0) to the form t + u*n and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h**2 + 2*h + 2. Let x be g(7). Let j(d) = -d**3 + 25*d**2 + 10*d - 27. Is j(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72\/5 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o. Suppose 2*x - 32 = -l, o*x - 3*l + 6 = x. Let k = 3 + x. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 910608673 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1027, 0.4, 76 in descending order.\nAnswer: 1027, 76, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 12 + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -176.1. Which is the biggest value? (a) 15 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 162, 5.\nAnswer: 1, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 37*y**2 - 11*y - 41. Let b(x) = -13*x**2 + 4*x + 14. Let r(a) = 17*b(a) + 6*o(a). Factor r(v).\nAnswer: (v - 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201922276 + -136422276. Round q to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3308*z**2. Let c(y) = 123586*y**2. What is c(w(n))?\nAnswer: 1352384790304*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*y - 7, 0 = -2*y + 3*i - 4*i + 13. Let c be 46\/8 + (-3)\/(-12). What is the highest common factor of y and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/((6 + -15 + 10)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Suppose -4*k = -2*a - 20, 14 = -3*a + 3*k - i. Suppose -15 + 5 = -10*g. Solve 3*w - t - 7 = 0, -3*w + g = -4*t - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.05 - 13. Put 0.3, j, 0 in descending order.\nAnswer: 0.3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24218 is divided by 1862?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -558 + 273. Let p = 288 - x. Let b be (-3)\/((-18)\/(-4))*-3. Solve p*r + 3 = h, b*r + r + 5*h = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214*s**2 - 240*s + 2 wrt s?\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 28055 = -3*z + 146572, 5*z + x = 291045. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -3 - 13 - (-18 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let b be n - 1\/(1\/4). Let a(j) = -j - 7. Let y be a(b). Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5120)\/(-23296))\/((-495)\/(-105) - 5)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeececcmmc. Give prob of sequence em.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 37 = c - 2*c, 4*q - 16 = 0. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-69))\/(-5 - -3). Suppose -2*h = 5*k + 4, -3*k + k + 10 = -5*h. Suppose -4*v + 10*v = k. Is d bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19638860?\nAnswer: 2, 5, 37, 26539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1955 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d - 205*d = -486 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2567.97 millennia?\nAnswer: 25679.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-2*q + 0*q + 3*q) + 2388*q + 611*q + 2428*q - 1170*q + 288*q.\nAnswer: 4547*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 4*l - l + (-l + l + 2*l)*(1 - 1 - 2) - 2 - 2*l + 2 + (-1 - 1 + 0)*((2*l + 3*l - 85*l)*(4 - 1 - 2) + 13 - 3*l - 13) to the form g + f*l and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 15 (b) -4\/7 (c) -0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5106 + -5600.2. Let a = p + 494. What is the second biggest value in a, 4, -2, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 101. Let f(r) = r**3 - 7*r**2 + 12*r + 3. Let k be f(q). Solve -d - k*d + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*z + 1123 = 1031 - 7306 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277490 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(18\/11)\/k)\/k**(-1\/5) assuming k is positive.\nAnswer: k**(46\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 175 (b) 2\/17 (c) 0.1 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238208410.\nAnswer: 2, 5, 11, 2165531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/132 - 57*78005\/(-165) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2\/2 - k + 10. Suppose -p - 6 = -s, 2 = s + p - 0*p. What is x(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -3 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -28, -54, -92, -142?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41612.\nAnswer: 2, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 16. Calculate p(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1410*z**2 - 30 - 38 + 68 + 2946*z**2. Let p(w) = -w. Calculate p(k(x)).\nAnswer: -4356*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 377*d*z**4 + d*z**3 + 5*d*z**2 + 3*z**4 - 9*z**3 + 118*z**2 - 1 wrt z.\nAnswer: 9048*d*z + 6*d + 72*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*p**2 - 1122599*h**2*p + h**2 + 2*h*p**2 + h + 21172*p**2 - 86 wrt h.\nAnswer: -6*p**2 - 2245198*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 154057875?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0*(-2)\/4. Suppose r*z - 6*z - 3*x - 27 = 0, x + 4 = 0. Does 12 divide z*(-18)\/10*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208\/(-10)*((1 - 12) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 13) in base 10?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54197701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Suppose 3*l - s*h = 34, -h - 17 = l - 5*l. Suppose 2 = j + 3*x, 45 = l*j - 2*x - 2*x. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2925 + 5264. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369900348?\nAnswer: 2, 3, 17, 106661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -603, -43 in descending order.\nAnswer: 4, -43, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37490 * -0.4.\nAnswer: 14996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2386*t**2 + 389*t**3 - 70*t**2 + 275*t**3 + 385*t**3 wrt t?\nAnswer: 6294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3 = -5*j - 16, 0 = j + 4*k + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -14. Suppose f = 5*p + 40, 3*f - y*f + p + 35 = 0. Let r be 69\/f + 4\/10. Solve 3*q + 2 = -r*n - 7, -2*q = -3*n - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 6 + -5)*(-336235 - 0). What is z rounded to the nearest one thousand?\nAnswer: -672000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -256 + 273. Suppose -23*j + 2472 = -s*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/3)\/72*12\/(-4)*-29?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.5 + -27. Let p = -1269\/7 + 181. What is the nearest to p in -0.4, -4\/7, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00843075898 to 6 decimal places.\nAnswer: 0.008431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 34*o**2 + 2471*o - 55490. Calculate f(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1332 and -0.1.\nAnswer: 133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -29, 460, 2\/167?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + w - 330. Let l be t(0). What are the prime factors of (-10 + -4)*l\/21?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*g**2*i**3 - 8696*c**2*g**2*i**2 - 9*c*g**2*i**3 - 26*c*g**2*i - 14*g**2 wrt c?\nAnswer: -4*g**2*i**3 - 17392*g**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 18. Suppose 3*m + 0*m + w - 142 = 0, -5*m + x*w + 265 = 0. Let d = m + -19. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293 + -292.999823. Round u to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 + 730*c\/9 - 16036\/3 = 0. Calculate c.\nAnswer: -422, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o = -4*c + 34, -4*c + 5*o = -57. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Solve -o*r - 9 = 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -863\/5 + 6909\/40. What is the second biggest value in -2\/3, -4, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(3\/(-2) + 1). Suppose -y = -h*y. Let s(n) = -n**2 - 255*n + 1041. Let f be s(4). Solve 0 = z - f - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 29*r = 969. Calculate the remainder when 144 is divided by r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 3*a**2 + 2*a - 6. Let m be g(-4). Let o be (-8)\/(-5) + m - 10\/(-25). Suppose o*b + 0*b = 112. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 20. Suppose x*l = 3*l - 4*l. Solve l = v - 2 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 5*k**2. Let b(j) = 2*j**3 + 6*j**2. Let a be -3 - (3 - 4)*1. Determine a*b(p) + 3*l(p).\nAnswer: 2*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -276.33383578 - -303.333837. Let r = c - 27. Round r to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -389, -391, -393, -395, -397?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16702 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 - -569. Let f = -1.45 - -1.55. What is the nearest to f in 5, -0.1, o, -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 526928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 700 and 700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2287 + 2292. Put t, -3, 178 in increasing order.\nAnswer: -3, t, 178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/10 - 78\/(-90). Let f(v) be the second derivative of 0*v**3 - v + 1\/2*v**5 + 0*v**2 - g*v**6 - 1\/3*v**4 + 1\/21*v**7 + 0. Let f(h) = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 q, and 1 x when four letters picked without replacement from cqbqqkqkkxkxkqqqqkq.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -229?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u + 22*u - 3*u + 148*u - 28*u.\nAnswer: 188*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - d - d**2 + 0*d**2 + 7*d**2 as c + y*d + m*d**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.0058.\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19056885.09999976 + 19056884. Let m = r + 1.1. Round m to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20041.\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 3.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 12*c + 6. Give j(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7406*b - 106 - 104 + 320 - 108)*(0 + 4 - 3).\nAnswer: 7406*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t**5 + 21*t**4 - 12*t**3 = 0.\nAnswer: 0, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 665 + 3080 = 0. Let p be (i + (-3 - -4))\/(-2). Suppose 5*g - 1352 + p = -5*s, -4*s + 175 = g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3451894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 30. What is the least common multiple of h(-9) and 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183796?\nAnswer: 2, 45949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17224002 divided by -5741334?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2596, -5, -21, 2, -3, 3 in decreasing order.\nAnswer: 3, 2, -3, -4, -5, -21, -2596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6245140, 6245141, 6245142?\nAnswer: 6245143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32437, -32471, -32531, -32623, -32753, -32927, -33151, -33431?\nAnswer: -33773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/65)\/(-4) - (-100890)\/400140?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 36. Let g = 34685 + -69367\/2. What is the closest to -2\/5 in g, 4\/7, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31871, 63703, 95535, 127367, 159199, 191031?\n\"Answer: 31832*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 + 4*t**2 + 2*t**2)*(7 - 7 + 4*t**2 + 2*t) + (2*t**2 - 2*t**2 - t**4)*(-121 - 5 - 45) as g*t**3 + y*t**4 + m*t**2 + h + v*t and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000014 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 177191 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27985 - -27985.201. Put 2, 5, -2, i in increasing order.\nAnswer: -2, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27164 or -1243\/4?\nAnswer: -1243\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 2*k**2 - 2*k - 3. Suppose -22*m - 21*m + 5*m = 266. Let s(i) = 5*i**3 - 4*i**2 + 5*i + 7. Give m*t(b) - 3*s(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2)\/(3\/(-6)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgpp when four letters picked without replacement from plgplbbglplplcl?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m + 2. Let s be 1*(0 - -2 - 1). Suppose -s + 11 = 5*b. Give z(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2 + 39. Let i be n(0). What is the highest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135638 rounded to the nearest one thousand?\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485.4 + 537. Let n = 52 - k. Let l = 0.9 + 0.1. Sort n, -1\/3, l in decreasing order.\nAnswer: l, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*t - 42. Let l(r) = -3*r + 3. Calculate the remainder when 84 is divided by l(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*h**3 + 155*h**3 + 2*h**4 - h**2 - 77*h**3 - 16 to q*h + j*h**2 + b + d*h**4 + k*h**3 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 10 + d + 96*d**2 - 4*d to z*d + o*d**2 + x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46603 = -1202*f - 15901 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14422?\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 69*f - 71*f - 8, -12 = -5*v + 4*f. Solve -3*y = w - 10, v*y + 3*w - 14 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pihinepehppxhixn. What is prob of sequence eenh?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3. Suppose 5*n - 25 = -v*n. Suppose 39 + 31 = n*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, -197, -0.5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 113*u**3\/6 - 5*u**2\/2 + 21*u. Let r be g(-2). Let z = -140 - r. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4185662 is divided by 4185635?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/6*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34096902 to the power of 1\/2, to the nearest integer?\nAnswer: 5839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6920*a - 190*a = -68*a - 478856 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 - 3256*o + 9732 = 0. What is o?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.18 - -30.68. Let t = -23 + d. Round t to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 473*f + 19839. Determine o(-40).\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-13140)\/288)\/73)\/(-5)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -10. Let n(x) = x**3 + 2*x**2 + x + 1. Let i = -4 + 2. Let q be n(i). Which is the second smallest value? (a) r (b) q (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/(0 + 100\/534). Let v = h - -226\/25. Find the common denominator of -41\/9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -g + 5*w + 15, 0 = -g - 3*w + 29. Solve 0 = g*u - y - 25, 3*y + 12 - 1 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**3 + 3*f**2 + f - 3. Give d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 3787\/31328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2608244 and 418?\nAnswer: 28690684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*i - 260*i = -104217. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s**2 - 10*s. Let b(n) = 4*n**2 + 3*n. Let h(d) = 2*d**2 + 45*d + 228. Let r be h(-15). Suppose w + 10 = 2*w. Calculate r*x(g) + w*b(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 12008 = 85*u. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448897.\nAnswer: 47, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(33\/6)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g - 24 = 0. Let j be (12\/(-8))\/(24\/32). Is 3 a factor of (2\/(g\/27))\/(j\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835056 = -15113*l - 132176 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 9368930?\nAnswer: -6\/4684465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2662 <= 1599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*u + 876 = 0, 5*s + 5*u - 2208 = u. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 - 2*o - 2. Let c(d) = d**2 + 8*d + 11. Let w be c(-7). Suppose 0*h = -w*h + 40. Calculate the lowest common multiple of h and g(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -204 - -201 - (-4)\/2. Sort 3369, -5, o.\nAnswer: -5, o, 3369","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1023426 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-1)\/2)*4. Calculate the highest common divisor of 8 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066 less than 3056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 61131880?\nAnswer: 61131880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocmaomccmcm. What is prob of picking 2 o and 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(3*(-2 + sqrt(162) + ((sqrt(162) + (-1 + sqrt(162) - sqrt(162)))*-5 - sqrt(162)))*2 + 5))**2.\nAnswer: -335340*sqrt(2) + 3950883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/19 or -3?\nAnswer: -46\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u. Let y = -85 + 89. Let j(w) = 8*w + 1. Let o be (0 + -2 + 1)*-3. Let t(z) = o*j(z) + y*b(z). Differentiate t(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*p, 2*v + 44*p = 40*p. Solve v = -k + 20*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117576050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132413400 + -434?\nAnswer: 132412411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - 0.08962.\nAnswer: -149.08962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 96 = -89. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0 + 0*g**3 + 0*g - 1\/12*g**6 - 3*g**2 - 1\/3*g**5 - 5\/24*g**4 + 5\/112*g**8 + 2\/21*g**7. What is m in x(m) = 0?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 10*j + 3. Let l(r) = -r**2 - r - 1. Let h(x) = 4*l(x) + t(x). Let i(w) = 5*w - 4. Let a be i(9). Suppose 0 = 5*d + 11 - a. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*y = 5*u - 96*y - 229946, 0 = -u - 5*y + 45994. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 times -0.1?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9884 (base 10) to base 8.\nAnswer: -23234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 12*n**2 + 2. Let c be r(-12). Suppose -q + 61 + 1 = c*p, 0 = -5*q + 3*p + 297. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2324*i - 4375*i - 1002 = -2218*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 15951.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62, -0.14, 5, 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = k + 5, 3*k = 2*n + 3 - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1. Let d(q) = 21*q. Let s(g) = -d(g) + 4*u(g). Let a be s(-6). Suppose 2*l = 7*l - a. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:25 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 58 (c) -502 (d) 0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/169 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81138985.\nAnswer: 5, 16227797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w = 28*w + 2106. What is the hundreds digit of (w\/(-12))\/(13\/(-728))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 745190362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 52*y**2 + 92*y**2 - 4*y**2 + 18*y**2. Let d(w) = 4*w**2. Give d(j(v)).\nAnswer: 99856*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/17, 4, 737.564 in descending order.\nAnswer: 737.564, 4, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 32154?\nAnswer: -32147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 10. Let l be n(-6). Let s be 6*(-8)\/(-12)*l. Let k = -17 + s. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 8*s - 19561 = 2*i, 0 = -3*i - 15. Suppose -72*n + 65*n + s = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*x**3 - 6170 - 3343*x**3 - 2*x**2 + 6169.\nAnswer: -2881*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 552309 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 364, 2, 1, -5 in decreasing order.\nAnswer: 364, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97713 and 18095.\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73810*h**2 + h - h - 73795*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2922832 to the nearest 1000.\nAnswer: -2923000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ippx when four letters picked without replacement from {d: 5, s: 3, x: 1, i: 2, b: 5, p: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 1. Let p = r - 1. Let c(k) = 4*k**2 - 2*k**2 + 4*k - p*k. Let b(q) = -q**2. What is c(b(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {e: 1, f: 3, x: 1, j: 4, n: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 21*j**5\/10 + 437*j**4\/3 + 535*j**3\/3 + 82*j**2 + 2*j + 747. Factor p(o).\nAnswer: 2*(o + 41)*(3*o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220*-228896\nAnswer: 508149120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dodo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -4*sqrt(300))\/sqrt(6))\/(-3*sqrt(1210))*5.\nAnswer: 5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -538563 equal to -538563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**33*f\/(f**(-6\/17)\/f)*f)\/((f**(-7)\/f*f)\/f**(-1\/11)) assuming f is positive.\nAnswer: f**(8090\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 0.5, 0.391, -0.1, -1\/3 in increasing order.\nAnswer: -1\/3, -0.1, 0.391, 0.5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 2*b. Let d be g(-2). Suppose 4*i + 12 = 5*v - 2*v, -i + v = d. Let n(u) be the second derivative of -u**3\/6 - 11*u**2\/2 - 2*u. What is n(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 11) to base 5\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let b(h) = -1 - 3*h - 1 + 2*h + h**m. Let j be (-9 - 72\/(-10))\/(3\/(-5)). Determine b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6207, -12410, -18613?\n\"Answer: -6203*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 2*o - 7. Let t be i(5). Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749206 to the power of 1\/2, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35139 - -57852. Is c a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282\/1985 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14*(-15)\/50*5. Let x = 1 + -1. Suppose x = -5*o - k + 71. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260455 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -151.\nAnswer: 75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r - 20 = 2*m, -4 = m. Let f(o) = o**3 + 5*o**2 - 5*o - 7. Does 13 divide f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 4:57 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-883)\/442 - 1 - -3. Let d = 28398\/221 + w. Let z = d + -137. What is the common denominator of -35 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 134757, 269488, 404219, 538950, 673681?\n\"Answer: 134731*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289423?\nAnswer: 3, 763141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 6*p - 5. Let a(d) = -129*d - 1166. Let r be a(-9). Let h(g) = -g**2 - g + 1. Determine r*h(q) - l(q).\nAnswer: q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, -0.32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22724203 is divided by 116534?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16487.167135 rounded to the nearest 10?\nAnswer: -16490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(65\/585). Let t(y) be the first derivative of -5*y**2 + 6\/5*y**5 + 0*y + 0*y**4 - 7 + 0*y**o. Find the second derivative of t(x) wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 10*c = 546 - 294 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4540 = 3*s. Suppose -n + s = 4*w, 3*w - 2*n = 2*n + 681. Suppose -4*v + w = -77. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -1\/570*u**5 + 5\/228*u**4 + 0 - 14*u**2 + 0*u - 4\/57*u**3. Factor t(m).\nAnswer: -2*(m - 4)*(m - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - -119. Let k = -263 + n. Sort -2\/11, -1\/3, k.\nAnswer: -1\/3, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 71*o**2 - 36*o**2 - 24*o - 79 - 25*o**2 - 61*o**2. Let f be w(-8). Round f to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0523 * 43749.\nAnswer: -2288.0727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 537 and 769521?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 26*l + 26. Let u be n(-14). Find the common denominator of -71\/102 and u\/6*3\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -7. Suppose -q + s - 8 = -4*q, 5*q = -s + 14. Suppose q*c - 5 = -2*c, 3*h - f = -c. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/4 - f**3\/2 - f**2\/4 + f\/2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*4*6)\/(sqrt(21)\/sqrt(3)*1 + sqrt(189)\/sqrt(3)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42\/5 of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19019 and 899327.\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 3*p + 1137, 0 = 5*s + 2*p + 1117. Let j = s + 1577\/7. Factor 2\/7*w**2 + j*w**3 + 0 - 2\/7*w - 2\/7*w**4.\nAnswer: -2*w*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (75 + (30 + 11 - 21))) + 6?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15903294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4545 = -16*a + 4385 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, c: 2, y: 5, t: 1, w: 3, n: 2}. What is prob of sequence yony?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10460424041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010110110111101000 (base 2) to base 3.\nAnswer: 200002002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c - 1. Let p(r) = r. Let f(h) = 2*p(h) + q(h). Let u(d) = -d**3 + 10*d**2 + 4*d - 7. Let w(l) = 4*f(l) - u(l). Determine w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -54, -77, -100, -123?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(2\/29)\/i)\/i))\/i*i*i**(-7\/4) assuming i is positive.\nAnswer: i**(137\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1074*n**4 - 8*n**2 - 394*n**2 - 875*n**2 + 514*n**4 + 23*n**2 wrt n.\nAnswer: 38112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 3}. What is prob of picking 1 p and 2 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1. Let w(a) be the first derivative of -5*a**3\/3 - 8*a - 147. Calculate -3*w(h) + 24*y(h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857561?\nAnswer: 3, 619187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (51 + 1)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**10*(c**(-6\/23)*c*c)\/c assuming c is positive.\nAnswer: c**(-190\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggggaaaggggaggggagg?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477945 and 643695?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.5777 kilometers in millimeters?\nAnswer: 629577700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2079270.\nAnswer: 2\/1039635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 0.2092714?\nAnswer: -0.1892714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76915.21 millennia in months?\nAnswer: 922982520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -78.30339\nAnswer: 39.151695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 225*o + 8125 = 107*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 - 6*w - 7. Let t = 3 - -2. Let x be s(t). What is the tens digit of (-10)\/(-25) + x\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*d - 12*d - 12516 = 0 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0, 1\/6, 302, -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g + 5. Let w(v) = v + 1. Give 2*j(z) - 6*w(z).\nAnswer: 14*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x**(3\/8)*x*x))\/x))\/(((x\/(x**(-3\/2)\/x))\/x)\/x)*(x*x*(x*x**(2\/13))\/x)\/x**(2\/23))**(-36\/5) assuming x is positive.\nAnswer: x**(-106389\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 40*f**2 + 2. What are the prime factors of d(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 8*p**2 - 4*p - 15. Let x be u(7). Suppose -370 = 11*o - x*o. Let s = -65 - o. What is the least common multiple of s and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.0999968. What is d rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let y = -11 + 31. Suppose 4*f - y = 2*u, 0 = -z*u + u. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 26. What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11 - -6) + 7)*(-55)\/(-10)*3. Calculate the highest common factor of k and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*p - 39*p - c + 99114, 7*p - 346908 = c. What are the prime factors of p?\nAnswer: 2, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20715 by 5.\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((772\/(-1158))\/((-16)\/(-6)))\/((-5)\/8*-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -522 + 519. Let k(a) = -254*a - 18. Is 12 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022822 rounded to 4 dps?\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {j: 1, s: 1, w: 1, f: 4, y: 3, l: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = -4, 0 = -z + 4*d - 10. Solve 0 = -0*g + g - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 6:06 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -6. Let l be 0\/(-3)*-1*2\/6. Do l and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3167, 3152, 3137, 3122?\n\"Answer: -15*t + 3182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -527 (b) 166433 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -15, -0.1, 4, -47\/2, 19, -0.4?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**3*y - 3*w**3 + w**2*y - 69*y wrt w.\nAnswer: 30*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -3.19\nAnswer: 73.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -61, -61, -59, -55?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*k + 441 = -6*k, 2*k = 2. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 60345*j**2 + 483000*j + 966160.\nAnswer: -5*(j - 12077)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/31985056 and -121\/2976?\nAnswer: 95955168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(363\/(-11)))\/(51\/72*(4 + -6))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 150?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z - 54*z + 40 = 4*a, -9*z = -12*z + 17*z + a + 43 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/4 + 31773*b**2\/4 + 745209*b = 0. What is b?\nAnswer: -93, 0, 10684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 728 and 473720.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 47, 76, 105, 134?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66861976 and 33430988?\nAnswer: 66861976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12991943 is divided by 240?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/16 and -35\/13490476.\nAnswer: 53961904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6243439482 + 979.\nAnswer: -6243438503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 11*t**2 + 2*t - 16. Let n be m(11). Let i be 0 - (3 - n - -7). Is 8 a factor of (i\/(-6))\/(8\/192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 + 5*f - 5. Suppose 4*t + 3*k = -39, t + 6*k - 3*k = -21. List the prime factors of g(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409 (base 16) to base 7\nAnswer: -3004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 787 + -784. Suppose 3*o - 414 = g + w*g, -2*o = -4*g - 280. Calculate the highest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + j = -4 - 6, 12 = -3*j. Let d be z\/(-4) + (-1)\/2. Factor 0*y**2 + 3\/4*y - 1\/2 - d*y**3.\nAnswer: -(y - 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 28*b + 306. What is c(6)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -211744.\nAnswer: -27\/105872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/59, -1\/2, -773, -4\/9 in increasing order.\nAnswer: -773, -1\/2, -4\/9, -3\/59, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.28, -0.1, -1, 3, -15\/2 in increasing order.\nAnswer: -15\/2, -1, -0.28, -0.1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 = -10, 0 = t - 2*o + 1. Let p(w) be the first derivative of -3*w - 1\/3*w**t - 1 - 5\/2*w**2. What is p(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 7. Let x be o(10). Suppose x*j - 36 = -j. Suppose j = 2*k - 5*k. Sort k, 5, -4 in increasing order.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*i**4 - 1359579*i**3 + 2*i**2 + 1613*i - 6240.\nAnswer: -2856*i - 8157474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11134 divided by -37876?\nAnswer: -5567\/18938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 - 3*g**2 - g + 1. What is q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-9)\/(-27) + 9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028937135 rounded to seven dps?\nAnswer: 0.0002894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -73*j**2. Let k(y) = -y**2 + 2714. Give k(t(i)).\nAnswer: -5329*i**4 + 2714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 3. Let i be s(0). Let q = 0.1 + -0.4. Which is the second biggest value? (a) 0.4 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9518*h**2*z**3 - 2*h**2*z + 5*h**2 + 58*h*z - 1 wrt z?\nAnswer: 57108*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 18. Calculate the smallest common multiple of 1 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**5 - r**5 - 6*r**4 + r**4)*(85 + 6 + 20).\nAnswer: -222*r**5 - 555*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20304043 - 30?\nAnswer: 20304013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387010288 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2745 and 17910.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -117.2273?\nAnswer: -35.16819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.05. Let p = -2.05 + l. Which is the second biggest value? (a) 0.4 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1408 and -133\/3216.\nAnswer: 283008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(90)\/(-1*sqrt(2)))\/(sqrt(99)\/(sqrt(22)\/sqrt(2))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3727318428543 from -5.\nAnswer: -3727318428548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/20)\/(6\/(-16)). Suppose i - 9587 = -d + 4*i, -g*i = d - 9615. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 times -936471\nAnswer: -215388330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (73447924\/(-99) + 6*5\/135)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14181 divided by 87?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 573240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -10*p + 9*p. Does 13 divide 2\/(-2) - (1 + p + -43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 2, j: 1, m: 2}. What is prob of sequence mk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*d**3*f*q**2 - d**3 - 64*d**2*q + d*f*q**2 + 11*d*f wrt q?\nAnswer: -410*d**3*f + 2*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1912, -1913, -1920, -1939, -1976?\n\"Answer: -h**3 + 3*h**2 - 3*h - 1911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 11720.\nAnswer: 37\/11720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa205 (base 13) in base 4?\nAnswer: 2211310300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 51*x**2 - 22*x - 13. What is s(-26)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1053 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135\/4 - 32. Let p = -3995159190 - -129203448320477\/32340. Let y = -2\/8085 - p. What is the common denominator of y and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65714 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*h + 1061*h - 570*h = 2436 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6802.\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 + -1 + -77. Suppose 4*y - 3*f = -187 - 304, -4*f - 484 = 4*y. Let j = a - y. Calculate the highest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1)\/((-1)\/(-8)). Let c(s) = 2*s - 11. Let w be c(u). Let h = w + 58. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 487177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 610? (a) 279.1 (b) 0.4 (c) -3 (d) -2\/7 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-576)\/(-162) - 2*63\/36\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/7)*((d**6*d*d)\/d)\/d*d*(d\/d**(-1\/16))\/(d\/d**11) assuming d is positive.\nAnswer: d**(2039\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -153. Solve 4*v = x*w + 16, w - 4*v = -2*v - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let t(n) = -13*n**2 + 4*n - 1. Let q(r) = -r**2 + r. Let j(y) = 4*q(y) - t(y). Calculate j(p(u)).\nAnswer: 36*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:58 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 333*y**3 + 31018*y**2 - 856800*y - 1840352.\nAnswer: (y - 199)*(y - 68)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**5 - 65*l**4 + 65*l**3 + 45*l**2 - 80*l + 20 = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d. Let l be r(0). Let m(v) = 2 + 11 + l*v + v - 5. Determine m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = -32. Suppose 5*u - 165 = 5*k, -k = -2*u - 2*u + 45. Let p = c - k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 441?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94365.44 millilitres to litres.\nAnswer: 94.36544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92951*n**2 + 1385199*n**2 + 9764723*n**2.\nAnswer: 11242873*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12018 + 66\/10 + (-10)\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 69*p**3 + 5795*p**2 - 95*p - 946. Determine z(-84).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -727 bigger than -877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 5*p - 7, -5*p = -2*r - 6. Suppose 0 = -r*a + 2*f - 108, -5*a + 161 = -3*f + 427. Let u = a - -58. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**2 + 2*k**2 + 3*k**2. Let h(m) = m + 3. Let j be h(-1). Let x(t) = 7*t**j - t**2 - t**2. Determine d(x(y)).\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 9*j**2\/2 + 29. Let g(b) = 2*b. Let m(f) = -4*g(f) + o(f). Let y(r) = -2*r**2 + 35*r. Calculate y(m(z)).\nAnswer: -2*z**2 + 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 929224 and 50875014.\nAnswer: 203500056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0.01, 2 in decreasing order.\nAnswer: 5, 2, 0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -786, -1194, -1618, -2064, -2538, -3046, -3594?\nAnswer: -4188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 32*l - 4. Suppose -2*c + 706 = l*s, 5*c + s - 1721 = 2*s. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -4 (c) 2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*u + 266*u + 232*u + 395*u + 33020 = 0 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose -o + 6 = b*o. Suppose 0 = 3*a + o*a - 45. Calculate the least common multiple of a and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-30)*(-8)\/14\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310032132 (base 4) to base 14.\nAnswer: -57d5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 - 24*f**2 - 183*f - 156 = 0. What is f?\nAnswer: -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*3.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -0.05.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 6*s. Determine o(8).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 0*w**2 + 0*w**3 + 6*w - 5 + 7\/2*w**5 + 29\/6*w**4. Find the third derivative of h(t) wrt t.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 2 + sqrt(17))*-6 + ((sqrt(17)*2*-1 - sqrt(17)) + -4)**2.\nAnswer: -12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2073212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2)\/((-16)\/4). Let x = y + 0. Suppose 3*z - 15 = x, 9*a - 40 = 4*a - 4*z. Solve 15 = a*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 - u. Let q(i) = 11*i**2 - 2*i - 1. Calculate -4*m(d) + 3*q(d).\nAnswer: -11*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835211357.\nAnswer: 3, 7, 131, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5))\/(((v**(1\/12)\/v)\/v)\/v))\/(v*v**(-1\/3)*v**(-1)\/v*v) assuming v is positive.\nAnswer: v**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 862, 3420, 7682, 13648?\nAnswer: 21318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhss. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616660?\nAnswer: 2, 5, 11, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - (-78)\/(-45). Is h bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-1 + 2 - 2)*((3*o - 2*o - 5*o)*(-4 + 2 + 3) + 15*o + 9*o + 8*o + (-o - o + o)*(-2 + 4 - 4))*(-3 + 4 + 0)*(3*o + 2*o - 18*o).\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 29*j + 4. Let k(r) = r**2 - 115*r - 15. Determine -3*k(a) - 11*v(a).\nAnswer: -3*a**2 + 26*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -467 + 315?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p**3 + p**2. Let l be k(1). Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 349*n - 275. Calculate o(88).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18579\/23646*(7\/77)\/(1\/2*-2)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156264 is divided by 11160.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*c + 5*i + 2, 3*c + i - 10 = 0. Solve 2*q = t + 12, -c*q - 2 + 10 = 2*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1793751957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 25*l - 183 = -5*o, 3*l - 146 = -4*o. Sort o, 6, -3 in descending order.\nAnswer: o, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in 1, -2\/19, 5\/4, -308\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 30. Let r = 0 + l. Suppose z + r = 2*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) -7 (d) 0.0693\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r + 10*r + r)*(r - 1 + 6*r - 4*r - r + r + 2*r - 1 + 1 - 2*r - 3 + 3 - 2*r + (0*r - 2*r + r)*(-1 + 2 - 2))*(12 - 12 + 3*r**2)*(0 - 1 + 2).\nAnswer: 126*r**4 - 63*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 205239 + 34037 = x, 3*d - 239262 = -3*x. List the prime factors of d.\nAnswer: 3, 11, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfkxkf. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21738551 divided by 1.\nAnswer: -21738551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232256296?\nAnswer: 2, 29032037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117228 is divided by 3529.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1755\/301860)\/(2\/(-8)).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85564212 - 85564069.000084. Let k = c - 143. Round k to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(0 + 0 + q) + (-40 + 50 + 52)*(3*q + 1 - 1).\nAnswer: 187*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/24 and -99\/15952.\nAnswer: 47856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 45055*f**2. Let s(c) = -3*c. Calculate r(s(x)).\nAnswer: 405495*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11078 - 11079. Sort 8, t, 1, -2 in ascending order.\nAnswer: -2, t, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 485 - 245 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + f - 17653 = 0, -f + 3 = 2. Is (9\/(-18))\/((-2)\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381737521 to the nearest integer?\nAnswer: 19538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 3*l**2 - 3*l - 1. Suppose 125*u + 10 = 127*u. Calculate z(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -34 + 19 + -13 + -18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(100\/(-396) + 4\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4345151 (base 9) in base 5?\nAnswer: -1044123202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 18130\/13?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 209309.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9996 and 6479550?\nAnswer: 90713700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18044 - 18044.499. Let s = 25 - 26. Is r bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356265, -356014, -355763?\nAnswer: -355512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (7 - (-3 + 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339.81 + -338. Let s = 2.81 - i. Let p(q) = -q**3 - 3*q**2 - 4*q - 2. Let l be p(-2). Which is the fourth biggest value? (a) 0.5 (b) s (c) 3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-117)*(-1152)\/(-320))\/2.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 9:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1508458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = 5*a. Suppose 0 = -a*j - 4*f + 20, -5*j - 2 + 24 = -4*f. What is the second derivative of 17*n**3 - j*n + 33*n - 9*n wrt n?\nAnswer: 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38459 - 38459.0018183. Round v to five dps.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.1 - 4.8. What is the third biggest value in g, -7, -0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 5*x**3 - 2*x**3)*(-3*x + x**2 + 3*x) + 3*x**5 - 16*x**2 + 16*x**2.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 74668*m - 6243888.\nAnswer: -4*(m + 84)*(m + 18583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*q**3 + 32*q + 1180?\nAnswer: -75*q**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1984, 3960, 5936, 7912, 9888, 11864?\nAnswer: 13840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -174. Is i <= -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/51330 and -143\/205320?\nAnswer: 205320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:18 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0 - -3?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -0.2, 3\/4 in descending order.\nAnswer: 89, 3\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310365420*d**3 + 2*d**2 - 17969*d - 1784.\nAnswer: 1862192520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1677750 + 228*h**2 + h - h + 1677738 as u + j*h + l*h**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 152*l\/11 + 14.\nAnswer: -2*(l - 77)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -12\/11, 320, -3, 4, 4\/7 in ascending order.\nAnswer: -3, -12\/11, 4\/7, 4, 54, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9774505817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 282*g - 295*g. What is the hundreds digit of ((-18)\/27)\/(g\/1602)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/82110 and 163\/1322040.\nAnswer: 157322760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15967*s + 33 = -15978*s. Let n = 7 + -2. Let b = 9 + -10. Put s, n, b in increasing order.\nAnswer: s, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 695031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2583 by 261277.\nAnswer: 2583\/261277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -321 - -321. Suppose -29*p - 10*p + 114387 = b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-35)*15970\/14373\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180 * -336.\nAnswer: 60480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, 321, 889, 1695, 2745, 4045?\n\"Answer: h**3 + 110*h**2 - h - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 224 = -21*y. Let a = y - -114. Suppose -2*b - 335 = -3*c, -a*c + 5*c = 5*b + 338. Calculate the remainder when c is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 1. Let y(n) = 101*n**2 - 7. Calculate -6*c(x) - y(x).\nAnswer: -95*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*y + 47. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -52. Suppose -g + f = 14. What is the remainder when g is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -37, 5, -18 in decreasing order.\nAnswer: 5, 1, -1, -18, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 221919.48 less than -24501080?\nAnswer: -24722999.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.142 - 4.282. Which is the closest to 0.1? (a) s (b) -4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 12*q**2 - 13*q - 7. Give r(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 14085 + 365906 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25240273?\nAnswer: 97, 260209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*g - 452 = -d, -5*d - 2*g + 558 = 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: Collect the terms in -21*b - 23*b + 14*b**3 + 72*b - 25*b.\nAnswer: 14*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d - 9dd2?\nAnswer: -9d85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*m - 64 = 0, 2*c + 5*m + 18 = 6*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -4, 1\/2, -0.1052?\nAnswer: -0.1052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6562, 12846, 19130, 25414, 31698, 37982?\nAnswer: 44266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2899638, 2899591, 2899470, 2899239, 2898862, 2898303, 2897526?\nAnswer: 2896495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(40\/105)*2. Let t be 1\/(-3)*(g - 12). Which is bigger: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -3 + -3 + 13 + (-1 - -4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2. Let v(w) be the first derivative of -w**2 - 17 - 6 - 15. Determine v(j(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9303390.\nAnswer: 2, 3, 5, 34457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411927 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + i - 1. Let p(v) = -9*v**2 + v - 6. Determine -5*c(b) + p(b).\nAnswer: b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269859?\nAnswer: 3, 23, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:36 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:06 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n + 2*f + 28, 2*n = 5*f + 13. Let b(x) = x**3 + 7*x**2 + 4*x - 7. Let z be b(n). Let t be z*-6*(-4)\/12. Solve 5*s = -5 - t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 15 - 21 + 56 - 31*r**2.\nAnswer: -31*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401490?\nAnswer: 2, 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202 - 813\/4. Suppose 160 = -4*z + 168. What is the closest to -1\/2 in z, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmtmbtt. What is prob of sequence bbtm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 3*v**2\/2 + 1. Suppose -5*j = 2*r - 11, -4*r + 6 = 2*j + 8. What is o(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4644*c**2*r**4 - 2226*c**2 + 33*c*r**4 + 220 with respect to r.\nAnswer: -18576*c**2*r**3 + 132*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/246699 and 76\/243.\nAnswer: 2220291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 31 + 31)*(6 - 25 - 26)*(8 + 4 - 6).\nAnswer: 1080*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -56. Suppose -3*n - 48 + 129 = 0. Let d = n - -38. What is the remainder when d is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = r. Let n be 1*(1 - 8) + 9. Solve 0 = n*c + r*j + 10, 4*c + 0*j = 2*j + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101001011010 + -11000?\nAnswer: -10101101001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/((-4)\/36). Let z(g) = 8 + 4*g**3 - 2*g**3 + 6*g**2 - 3*g**3 + 6*g. List the prime factors of z(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqkkkqqkkkkkkk. What is prob of sequence qq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16630 (base 8) in base 2?\nAnswer: 1110110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2182, 2539, 2896, 3253, 3610?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycjccyjcyyic. What is prob of sequence jiy?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45838 and -65.\nAnswer: -2979470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12521394289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p + 819 = -154*p - 885 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*n**2 - 10*n**2 + 13*n**2)*(3*n**2 - 2*n**2 - 3*n**2) in the form r*n**3 + u*n**2 + p*n + t + c*n**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -16 - (-10 - -22). Let m = -104 + -218. Calculate the remainder when 97 is divided by m\/(-10) + -7 + (-1)\/p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzbbskzzzbzszksszxb. Give prob of sequence szsz.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 + -4) - (-90)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 7 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-88)\/(-12))\/((-2)\/(-57)). Let h = x - 144. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 3*c**2 - 8*c + 1. Let a(r) = -3*r**3 + 2*r**2 + 9*r - 2. Let z(w) = -3*a(w) - 4*j(w). Determine z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/9 - 337\/306. Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28 (b) 41\/5 (c) 2\/35 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 511 - 77 = 0. What is the greatest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 1, -3 in decreasing order.\nAnswer: 3, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -19) + 14 - 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28000.180036 - 28000. Let q = j + -0.18. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299668 = 11*d + 101*d - 3244284. What are the prime factors of d?\nAnswer: 29, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**(-1\/68)*(m**4)**(-13\/6) assuming m is positive.\nAnswer: m**(-875\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:27 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13578702 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108748 to four decimal places.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*t - 34*t + 43. Suppose 5*s - 225 = -5*u, -2*u + t = 9*s - 8*s. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(153) + (sqrt(153) - 1*sqrt(153))*1)\/sqrt(9)*6)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 411*d + 7. Let y(h) = 413*h + 6. Calculate 6*b(q) - 7*y(q).\nAnswer: -425*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3635, 14473, 32535, 57821?\nAnswer: 90331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 6*g = -4*g - 8, 3*g - 12 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u - 20. Let r be j(-10). Suppose -180 - r = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*t + 73 = 0, f = -f - 5*t + 146. Round f to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -622 (b) 2 (c) -0.039 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45368 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/33*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2 and -0.04394.\nAnswer: -1.24394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 9) + 3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 26*a - 300, 12 = 176*a - 177*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - (-104)\/20)\/(2\/(-5)). Factor 11\/3*b**2 - 4\/3*b + j*b**3 - 4\/3 - 3*b**4.\nAnswer: -(b - 1)**2*(3*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122249082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-3)\/12)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -42) + (2 - -4) + (-8 - -22)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7248*n - 7244*n + 56 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h**2 - h. Let y be l(-1). Suppose -2*z + 47 = 5*o, -2*o = -3*z - y - 21. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:34 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 17, 24, 33, 44?\n\"Answer: u**2 + 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33152 + 33154. Solve u*s + 6 = 5*j, -4*s + 2 = -315*j + 312*j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 5*z = -19, -7 = 4*a + 5*z. Suppose 0 = -3*y + i - 7, -a = -2*y - 0*i + 4*i. Let u be (-1)\/(2\/3 + -1). Sort y, 5, u in decreasing order.\nAnswer: 5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258793 is divided by 9609.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + q**4 + 4*q**4)*(0 + 0 + q) - 2*q**5 - 3*q**2 + 4*q**5 + 4*q**2.\nAnswer: 3*q**5 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299, 2572, 3845, 5118?\nAnswer: 6391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 - 2*l**2 - 3*l + 2. Let g be y(2). Suppose -4*z + 32 = -g. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - 26*j**2 - 14*j - 30. Let a(z) = -z**3 - 9*z**2 - 5*z - 11. Let k(v) = -11*a(v) + 4*g(v). What is k(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 182 = 2*u. Let y be -4 - (2 - 4) - u. Suppose -2*j = -c - 4*c + y, 0 = -3*c + 3*j + 63. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 2*a**2)*(0 + 0 + 2*a**3) - a**5 + 2*a**3 - 2*a**3 + a**5 + 5*a**5 - 7*a**5 + (-3*a + 3*a + 2*a - 2)*(a**4 + 0*a**4 + 0*a**4).\nAnswer: -4*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027.34 rounded to the nearest 10?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 14. Let x be f(8). Do -2\/9 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(578\/153))\/(10\/4).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 + 3*w - 4. Let g be q(3). Let z be ((-4)\/(-5))\/(1\/5). Suppose g + 3 = z*l. Put 3, 8, -2, l in descending order.\nAnswer: 8, 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.2 - -1.8. Let z = k + -14. What is the biggest value in 3, 2\/11, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:09 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296, -2489, 6 in ascending order.\nAnswer: -2489, 6, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0) + 2\/2. Suppose -v + w*v + 1 = -5*l, 5*l + 12 = 2*v. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -274 - -772\/3. Let d = s + 17. What is the fourth biggest value in 0.4, 5, 1\/9, d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/9)*b*b**(-2\/3)*b**4\/(b\/(b\/b**2))*((b\/b**(-4))\/(b\/b**0))**(-3\/16) assuming b is positive.\nAnswer: b**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*o**2 - 32870 + 32872 + 64*o**2)*(33 - 28*o - 33).\nAnswer: -1260*o**3 - 56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -258465*f - 563*f**2 + 3*f**3 - f**3 + 258471*f in the form x*f + b + j*f**3 + z*f**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s. Let u(i) = 5*i + 168. Calculate u(c(g)).\nAnswer: -45*g + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2369 - -2389. What is the remainder when 449 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119614 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82*t**2 - 179*t**2 - 515*t**2 - 244*t**2)*(37*t + 24 - 40 + 14) to f*t**3 + l + v*t + y*t**2 and give f.\nAnswer: -31672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0)*(-1 + 1 - 1) + 59393 - 3273*p - 59393.\nAnswer: -3272*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c - 9. Suppose 5*b + 60 = -4*r, -2*b - 12 = -5*r - 54. Is w(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202312133 (base 4) to base 2.\nAnswer: 100010110110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:37 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7972944 and 1232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*z + 19 = -0*n, 0 = -4*n + 5*z - 13. Solve -b - 5*w - 2 = n*b, 3*w + 16 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:57 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98414, 393668, 885724, 1574552, 2460122, 3542404, 4821368?\n\"Answer: -5*l**3 + 98431*l**2 - 4*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -676 - 395*c**2 + 436 - 573 + 485*c**2 + 503*c**2 wrt c.\nAnswer: 1186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28791844*n**2 + 45922367*n wrt n.\nAnswer: 57583688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 46*z - 578. Let l be u(-8). Calculate the greatest common divisor of l and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1001, -1978, -2937, -3878?\n\"Answer: 9*z**2 - 1004*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 6*q + 14. Give v(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + -12?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 10 = l. What is the smallest value in 31, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28937732, -57875381, -86813032, -115750685, -144688340, -173625997?\n\"Answer: -d**2 - 28937646*d - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 2. Let g = 28 - 6. Let n(l) be the first derivative of -2*l**2 + 7*l + 14. Give g*p(h) - 6*n(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -83\/6. Let g = -16.9 + 12.9. What is the second biggest value in -1, r, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/7))**40\/(f**(-2\/5))**(-1\/28)*f**(-1)*f\/(f*f**(-5))*(f**(-2\/3))**(-11) assuming f is positive.\nAnswer: f**(8377\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 - 15*m - 7 - 4 in the form l*m + v and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414 is divided by 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m = -3*n + 80*m - 21, 3*m - 4 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -176180 rounded to the nearest 1000?\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.30685 tonnes in micrograms?\nAnswer: 57306850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:36 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 631318 + -3?\nAnswer: 631315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10194*c - 1431 = -10141*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3 + 3. Let u = 6.1 + -1.1. Which is the closest to 0.4? (a) 1\/5 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*v - 2*x = 85*v - 11, 8*v - 5*x - 348 = -344 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(7)*1 - sqrt(7))*4 + -5 + -2 + sqrt(7) + sqrt(252) + 1.\nAnswer: -4 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 3. Let z(f) = -f - 1. Let c(l) = -q(l) - 5*z(l). Suppose 2*t = -2*a - 10, 4*a - 5*t - 18 = 2*a. What is the units digit of c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 39. Put c, -5, -0.1 in decreasing order.\nAnswer: -0.1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -43155?\nAnswer: 43154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10*o = -450. Suppose -94*t = -o*t - 120. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-9)\/6*-6. Let t(o) = 21*o - 83. Let j be t(5). Suppose q - j = a. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943 = 42*s - 39289. Calculate the highest common divisor of 187 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 0*m**2 + 2*m**2)*(4 - 4 + 2) - 647*m**2 + 263*m**2 - 1597*m**2.\nAnswer: -1983*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60149.\nAnswer: 60149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r - 6. Let b be z(-6). Let k = b - 14. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*o - 2*o - 48829 = 0, -4*o = 3*r - 29293. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268279 and 2121843.\nAnswer: 23340273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19539 - 19537. Solve -4*r - 22 = -a*l, 0 = 3*l + r + 3*r + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/6 - 220*j**3\/3 + 2429*j**2\/2 - 699*j - 6840 = 0 for j.\nAnswer: -456, -2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/4 >= 495\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) - (-763)\/5. Suppose 5*u = -3*y + k, -5*y + 10*y - 292 = 4*u. Calculate the least common multiple of y and 128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o. Let q(l) = -86 + 86 + 8*l. What is q(i(b))?\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1165*c - 44. Let m(d) = -292*d + 10. Determine 2*f(l) + 9*m(l).\nAnswer: -298*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/49*(-63)\/6. Suppose 0 = -0*u + o*u - 750. What is the greatest common factor of u and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231327 is divided by 216.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 - (-156 - -138) - 1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:16 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 - (-2 + 3). Let a = 2 - i. Let p = 8 - a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9945478ml in litres?\nAnswer: 0.0009945478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-2)*36720\/(-26010)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubrprlv. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2862)\/(-31005))\/(9\/13).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 514900 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4035647*v + 8568164.\nAnswer: 4035647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3052998 by -39141.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 9. Let y be v(-3). What is the nearest to 2 in y, -0.06, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:56 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/10, -179, 0, 23, 0.18.\nAnswer: -179, -0.3, 0, 1\/10, 0.18, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 109*j + 556. Give w(41).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*526376.\nAnswer: 157912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2027*y - 246*y - 895*y - 884*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -26083315*g + 110. Let r be n(-6). Suppose 23*i + r = 28*i. Round i to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -139. Suppose -9 = 3*y - 3*m, m = 4*y + 5*m - 12. Suppose 7 = 2*t - t + j, -j + 4 = y. Solve 3*v + t + k = -c, 0 = -2*c + 2*v + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 6*y**2 - 5*y - 2. Let a be g(5). Let r = 392 - 395. What is the closest to r in -7, a, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 9) in base 10?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49770*t + 21648?\nAnswer: 49770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1991379459.\nAnswer: 3, 3719, 178487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or -124858?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjoohhhwjol. Give prob of sequence hj.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 189 (c) -0.2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (3 + sqrt(1575) + sqrt(1575))*6 + -5)*-5*-2)**2 + 0.\nAnswer: 576000*sqrt(7) + 22705600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2539031930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w - 9. Let f be d(7). Let h(r) = -4*r**2 + f*r**2 + 3*r**2 - 3 - r**3 - r. Let t be h(3). What is the third biggest value in -2\/7, 5, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2373 - -3507. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 160499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12447527*c**2 - 7101*c + 4734. Let t(r) = -10522*r**2 + 6*r - 4. What is -2*q(k) - 2367*t(k)?\nAnswer: 10520*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + a - 2. Let t(q) = q**2 - 1. What is -h(g) + 2*t(g)?\nAnswer: 6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5253 - 3481. Suppose -448 = 2*a + z. Is a\/4*((-84)\/18 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42531150 - -4?\nAnswer: 42531154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2829 (base 10) to base 7\nAnswer: -11151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153 by -1908.\nAnswer: -17\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*m + 1, 23*x + 1 = -2*m + 24*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - r**3 - 3*r**3)*(-13 - 24 - 1).\nAnswer: -38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 2388 = 32*x. Let o = -549 + x. Do -349 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s + 5*k, -20 = -5*s - 0*k + 5*k. Which is the second smallest value? (a) s (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011100101011111011 (base 2) in base 6?\nAnswer: 31212511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 16, -4*m - 5*p + 2364 = -2*m. Suppose -4*c + 5948 = -848. Let o = c - m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m - m)*(2 + 0 - 1) + (4 + 3 - 6)*(-2*m + 0*m + m) + (4 - 1 - 2)*(4*m - 3*m - 2*m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 541113.\nAnswer: 5952243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(1\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 (base 12) in base 6?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, -1, 9 in descending order.\nAnswer: 9, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -599*m - 19764. Let q be v(-33). Factor 30*h**2 + 3\/2*h**4 + 12*h**q + 24*h + 0.\nAnswer: 3*h*(h + 2)**2*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192709\/257 != 751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 760 - 763 - (-104 - (0 + 5) - 1)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -3*g**2\/2 - 14*g + 17. What is the remainder when 12 is divided by v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u - 66. Let s = u - -25. Let g be (-1 - 0)*(-26)\/s. Solve -g = a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 + 19 = 0. Suppose 0 = 3*c + r + k - 64, -3*c + 5*r + 52 = 0. Suppose -2*u = v - 10 - 0, -5*v + c = u. Solve -x - 1 = -u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 104*r**2 + 570*r - 828 = 0. Calculate r.\nAnswer: 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 0, -2, -1, -159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let q = -2401 - -2398. Let w = -2.5 - -2. Which is the nearest to q? (a) -0.3 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159\/10 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + x + 25 = 0, 0 = 3*u + 4*x - x + 3. Suppose 3*h + 13 = u. What is the remainder when 31 is divided by 11\/(2*h\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 23*u - 113. Let r be c(-7). Let k = 49 - 68.4. Let g = -19 - k. What is the second smallest value in r, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -11425?\nAnswer: -11423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*n**3*w - 6565*n**2 - 9215579*w wrt n.\nAnswer: 123*n**2*w - 13130*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*q + q + 0*q = 21*o + 110, 3*o - 16 = 8*o - 3*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16 + -15)*2\/1. Let s(g) = -d*g - 3*g + 4*g. Let q(u) = 7*u**2 - u**2 - 2*u**2. Calculate q(s(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -75\/28, -3, 0, -6\/7, 21?\nAnswer: -75\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2590 + 2556 + (-2 - (-3 - 0)) + -3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7309372 and 5574.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8*s + 17 = 6*s, -2*g = 2*s + 12. Let i(y) = y**3 + y**2 - y. Let z(t) = -7*t**3 - 5*t**2 + 8*t. Calculate g*i(k) - z(k).\nAnswer: 2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1288)\/(-1150))\/28*1225.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125672 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 6. Let l = 146 - 141. Let n(g) = 3*g - 5. Give l*n(m) - 4*b(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.9. Let l be (-3 + 16\/8)*((-4 - -10) + -8). Let y = 4 - 9. Which is the smallest value? (a) y (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (0 + 9)) + (56 - 14364\/297)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-35) - (33\/(-7) - -1). Let l(u) = u**3 - u**2 + 7*u - 5. What is the tens digit of l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30108523 divided by -2887\nAnswer: 10429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/15 + 2\/(-5). Suppose -m - a = -0. Calculate the common denominator of 38 and (58\/(-5))\/(m + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 976, 1921, 2856, 3775, 4672?\nAnswer: 5541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084231 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169375961 and 2419?\nAnswer: 2419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(50)\/(sqrt(2)*2))\/sqrt(5))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.752 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 656*w + 70619. Give b(-107).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -6\/29, -0.6 in descending order.\nAnswer: -2\/19, -6\/29, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4052*x**4 + 8*x - 324 wrt x?\nAnswer: 48624*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.214344 and -62.0206?\nAnswer: 61.806256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 28 = -f, -4*m - 4 = -5*f - 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -29\/3*o**3 + 50 - 3*o - 1\/2*o**2. Find the second derivative of x(h) wrt h.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(0 - (-4)\/8). Suppose -r = -p + 54. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 81 = -j + 4*j, 0 = -2*w + 5*j + 57. Suppose 0 = 5*y - y + w. What is the common denominator of -131\/12 and 188\/(-90) + (-2)\/y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 11) in base 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 146586010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 10*p + 76. Let b = 212 + -197. Let w be v(b). Solve 2*i = 3*i + w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5455536110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l - 3*o + 54, 3*l + 4*o = 57. Let z = 25 - l. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*a - 25 = 0, 2*v - 3*a = -6*a + 10. Suppose -v*r + 0*r = -230. Let z = r + -20. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 10. Let t(d) be the first derivative of -d**4\/12 - 5*d**3\/6 + d**2\/2 - 2*d + 2. Let x(s) be the first derivative of t(s). Determine x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m - m**4 + m + 14*m**2 - 24*m**2 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216))**2 + sqrt(19) + sqrt(304) + sqrt(19) + 2 - ((-4*sqrt(171))**2 + -3 + sqrt(76)\/sqrt(4)).\nAnswer: 5*sqrt(19) + 2133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1612 + 1621. Solve -5*h + 0*d - 25 = -d, -d + z = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210100211 (base 3) in base 5?\nAnswer: -444244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 72 = -2*t + 2*l, 2*l = -4*t - 138. Let u be -1*-1*t\/2. Let n = 26 + u. Calculate the greatest common factor of n and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 6*t = 28. What is the derivative of -2*b - t*b**4 + 4 - 3 + 2*b wrt b?\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 36. Suppose u*h - 2*m - 24 = 11, 0 = 2*h - 2*m - 20. What is the smallest common multiple of h and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2 - 5*s + 3. Let p(f) = 6*f**2 + 638 + 633 - 1269 - 4*f. Calculate 5*p(c) - 4*z(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000044708 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 50*w**3 + 13 - 8*w + 5*w**2 + 25*w**3 - 76*w**3. What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -131. Let c = f - 2.9. What is the second biggest value in -1, 3, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249\/7 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n - 32 - 108 = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2328 = -4*p, 2*f - 11*p = -10*p - 1155. Let q = f - -578. Which is the closest to q? (a) 1\/5 (b) -0.5 (c) -2\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f**3 + 7310*f**2 - 2 - 8*f**3 - 7312*f**2 to the form p + a*f**3 + t*f + j*f**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from aqqoqoqhpqhaooq?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1193*r**3 - 1203*r**3 + 20*r**4 - 1629*r**2 - 10*r**4 wrt r.\nAnswer: 240*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -1328\/7 + 8\/7*h**2 + 5310\/7*h = 0.\nAnswer: -664, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2, -0.7, -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5554 + 14151. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76734 and 1078?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 12 = -5*f. Let i(p) = 2*p**3 + 11*p**2 - 11*p - 11. Let w(h) = -h**3 - 6*h**2 + 6*h + 6. What is f*i(c) - 11*w(c)?\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z**2 - 64*z + 64*z)*(z + 2*z**2 + 4*z**2 - 3*z**2) to the form l*z**3 + g*z + a*z**4 + s + y*z**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -632 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*u**2 - 5 + 38*u**2 + 6*u + 36*u**2)*(-11*u**2 - 4*u**2 + 7*u**2).\nAnswer: -16*u**4 - 48*u**3 + 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/3*j**2 - 2 - 16\/3*j - 4\/3*j**3 = 0 for j.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/42 and 68\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -19 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1049 - 1041. Let g be ((-4)\/(-6))\/(4\/6). What is the greatest common factor of k and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086.133 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**11*(k\/k**(10\/9))**(-8\/13) assuming k is positive.\nAnswer: k**(-1279\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 2*w - 5. Let y be z(-3). Solve y = -5*l - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283*a**3 + 33992*a**2 - a**6 + 3*a**6 - 34065*a**2 wrt a.\nAnswer: 240*a**3 - 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((24824\/(-435))\/(-107)*(-10)\/264).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 212221110010?\nAnswer: -212221110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzyy. What is prob of picking 3 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -253. Suppose 0 = 2*f + 3*k - b, 2*f - 5*k = 188 - 40. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3882 - 3871. Suppose 5*i + 4*f - 118 = 3*f, 38 = i + 5*f. Suppose -d - i = -3*d + 3*k, 2*k + 26 = 4*d. What is the least common multiple of z and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/7 - 75*g**3\/7 - 198*g**2\/7 = 0. Calculate g.\nAnswer: -22, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/120 and 181\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-5 + 3 + sqrt(180) - (sqrt(180) + sqrt(180) + -3*(sqrt(180) - sqrt(180)*4))**2) + 3.\nAnswer: -21774 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 85 = -r - 5*g, -5*g + 72 = -4*r. Let b = 16 + r. What is the tens digit of ((-9)\/2)\/b*-24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:35 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 11*r**7\/70 + r**4\/6 - 100*r**3 - 429*r**2. What is the derivative of w(g) wrt g?\nAnswer: 132*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9)\/((-232)\/(-1740)*30\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 13*x**6\/30 + x**5\/20 - 1202*x**3\/3 + 118*x. Find the second derivative of m(v) wrt v.\nAnswer: 156*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1190862931.36 and 3.81.\nAnswer: -1190862927.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29109593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*u, 0 = -n + 2*n + 4*u + 5. Let q = n + 5. Suppose 0 = 3*f - 4*i + 8, 7*f + 6 = 10*f + 3*i. Solve k + f = 5*y + 4, 0 = -q*k - 4*y - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -685 + 684. Which is smaller: 61 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 581534750 divided by 378850\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 19*h**2 + h + 9. Let t be (2 + 15)\/(29\/(-29)). What are the prime factors of c(t)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1074\/(-270) + 3\/15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1732*k + 7898*k - 2570*k + 8182*k as f + y*k and give y.\nAnswer: 15242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/33)*n)\/(n**(-2\/41)\/n)*(n*n\/(n\/(n**(-3\/5)\/n)))\/(n*(n**36*n)\/n) assuming n is positive.\nAnswer: n**(-240094\/6765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7 - -5) + (-4)\/(-2))\/(-1). Suppose s = 7*g + 30 + 19. Which is smaller: -9 or g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let z be s(1). Suppose 0*m - 6 = -2*m. Solve 0 = -5*o - 5*q - 20, o + m*q = -z*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622201.\nAnswer: 31, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259717, -519495, -779287, -1039099, -1298937?\nAnswer: -1558807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129760 is divided by 123.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244 + 252. Suppose -5*v = -5*n - 200, u*v - 6*v + 3*n = 75. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 19\/5 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + a. Let b be x(-2). Calculate the greatest common factor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20897 + -20895.1954. Round w to two dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 3, 4 in decreasing order.\nAnswer: 9, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -57*z - 8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = r + 14*x - 42, 3*x - 26 = -r. Solve -47 = 3*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -814 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/24 - 2)*(-7890)\/178840?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/30 + 3*w**2. Let a(n) = -8*n + 4. Let s(j) = -9*j + 5. Let i(o) = -5*a(o) + 4*s(o). Determine l(i(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 228*d = -1656 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 6*o**2 - 67*o + 220. Calculate the remainder when 1229 is divided by q(11).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1047 (base 11) to base 3\nAnswer: 1220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73624, -73626, -73628, -73630, -73632, -73634?\n\"Answer: -2*o - 73622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from xxzrbxbrlzlblg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9643 + 14478. What are the prime factors of z?\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001907732 rounded to 7 dps?\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 6*r**2 - 5*r + 2. Let y be m(5). Suppose 0 = 5*t - y*f - 14, 3*t - 6*f + 3*f - 3 = 0. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-9)\/2)\/((-3)\/(-18)). Solve -l*k + 10 - 16 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*p + 48773 - 48745, -5*q + 24 = -2*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21601447\/9 or 2400161?\nAnswer: 21601447\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/80 and 30\/6403?\nAnswer: 512240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532166?\nAnswer: 2, 266083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 10*i - 2*i**2 - 2 + 9*i)*(0*i + 5*i - 2*i) + (21*i**2 - 46*i**2 + 530*i**2)*(-i + 0 + 0) to the form y*i + f + g*i**2 + r*i**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 3*l + 3*l - l + l - l + (-6*l + 4*l + l)*(2 - 3 + 0) + 0*l + 0*l + 2*l + 3*l + 0*l - 2*l - 5*l + 4*l - l - 2237*l + 1311732 - 1311732.\nAnswer: -2234*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 5*p**2 + 6. What is s(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 167, 256, 347, 440?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.51 and 2211\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 + 13*d + 18. What is the tens digit of y(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15396 - 15786 = -19*i - 59*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 1110 - 1517 - 9*k + 6*k - 850 - 838.\nAnswer: 3*k - 4315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - s + 14 + 8*s in the form h + d*s and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 40*z**2 - 41*z**2 + 90*z**2 - 3 in the form x*z**2 + n + c*z and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8208851*0.005\nAnswer: 41044.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/15 - 15898*z**3\/5 + 47708*z**2\/15 + 95392*z\/5 = 0.\nAnswer: -23848, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6270931260 to the power of 1\/3, to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/259195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 50 = 63*n. Let d be ((-20)\/(-16))\/(1\/(-4)). Put d, 0, n, 17 in increasing order.\nAnswer: d, n, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p - 4*m, -p - 5*m - 3 = -2*p. Suppose 177 = -4*l + w - 2*w, -4*l - p*w - 179 = 0. Calculate the common denominator of -59\/20 and 6\/6 + (-70)\/l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -74. Suppose -19*r - a = -23*r. Solve -12 = 12*v - r*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788*u + 48 = -764*u. Suppose -3*b + 3*m = 4 + 5, 3*b - 5*m + 11 = 0. Let c be b*(-2 - -3)\/(-1). Solve 0 = -c*y - 6 + u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(8\/(-2))*-4. Let g = 4 - l. Suppose 16 + g = 3*p. What is p rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155 times -121.5?\nAnswer: 383332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j - 1166. Let r = j - -1981. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y. Suppose 918*v - 921*v = -s + 9, 4*s = -24. Which is the nearest to -1? (a) v (b) y (c) -8 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 - v**4\/3 - v**3 - v + 10. Suppose h + 0*h - 2*f - 1 = 0, h = 3*f + 3. Let u = h + 8. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttu when three letters picked without replacement from ticut?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/6 + (8695\/10 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7804.544km?\nAnswer: 7804544000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000138896 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-136)\/255)\/((-68)\/10 + 6). Which is the nearest to 0.1? (a) w (b) -2 (c) -30 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*v + 103. Suppose 2*a + 2*a + 2*z = -4, -a - 8 = 4*z. Suppose -9*f + 3*f + 102 = a. Calculate the remainder when v is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**2 + 18*b**4 - 2*b**2 + 1023 - 3*b - 1032 wrt b.\nAnswer: 216*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:39 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/28)\/(56\/(-2464)*22).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q + 8*q - 113 + 113 to the form m*q + x and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/5233917 and -47\/205986?\nAnswer: 115146174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p**2 + 6*p - 4. Let d(t) = 31*t**2 - 13*t + 9. Calculate 4*d(x) + 9*w(x).\nAnswer: -20*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 4. Let g(n) = 3*n + 3. Let h(b) = 3*g(b) + 4*m(b). What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7) - 3596\/(-6496)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-53*(-77)\/114268*1*28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12096)\/280 - ((-12)\/(-2))\/2. Let j = o - -1607\/35. Which is the nearest to 4? (a) -1 (b) 11 (c) j (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.093 - -7.507. Let w = -2.6 + x. Which is the second biggest value? (a) w (b) -2\/3 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*h - 2543 = 7411 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 - 2*h + 82. Let u be x(0). Suppose 0 = 2*s - 4*s + u. Let o = -33 + s. Calculate the greatest common factor of o and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-60))\/((-12)\/24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 5\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:56 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20334.004 + 20959.4. Let c = 625.3599961 - d. Let b = c + 0.036. What is b rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 202035*d**2 - 3179738.\nAnswer: 404070*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 1) + (-124 - -136).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*3)\/sqrt(12) + sqrt(25) + sqrt(25))\/(-3*sqrt(180)).\nAnswer: -5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 9*w**2 - w - 2. Let f be c(9). Let d(l) = 13*l + 10. Let j(b) = -7*b - 5. Let v(z) = f*j(z) - 6*d(z). Give v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7320 by -2.\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**5\/2 - 155*w**4\/24 + 25*w**3\/6 + 30*w**2 - 63. Let y(t) be the second derivative of r(t). What is b in y(b) = 0?\nAnswer: 1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -250, -295, -414, -643, -1018?\n\"Answer: -6*a**3 - a**2 - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4542082?\nAnswer: 2, 2271041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4 = 7*n. Suppose -n*f + 9 = -7*f. Let k be (9\/6)\/(f\/(-168)). Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*n + 5*r, -n - 2*r = 2*n - 6. Suppose 5*x = 5*v - 65, 0 = 5*v - x + n*x - 25. Calculate the least common multiple of v and (-49)\/(-5) + (-3)\/(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 8638*t - 730732.\nAnswer: 2*(t - 4402)*(t + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 480297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.526t in micrograms?\nAnswer: 512526000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from {c: 17, m: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d1a6 (base 14) in base 9?\nAnswer: -250438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74.019 + 74. Let q = 0.319 + s. Which is smaller: q or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -7*u**6\/30 + 7*u**3\/6 - 13*u. What is the second derivative of l(s) wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628836899.\nAnswer: 29, 21684031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 10:02 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111981668.4 - 111973023.4798985. Let o = 8749.9201 - r. Let y = 105 - o. Round y to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/117 > 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 7 (b) 28\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 3*d**2 + 3*d. Let s be 0 - (1 + 1 + -4). Suppose -2*h + 8 = s. What are the prime factors of y(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-3 - (2 + -2)). Let l(z) = 5*z**3 - z**2 - z + 1. Give l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - s = -25342 + 5389, z = -4*s + 5007. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1611*i**2 + 328*i + 1939439?\nAnswer: -3222*i + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-16)*((-60)\/(-48))\/(30\/(-16))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s - 11. Let z be (-237)\/21 - 2\/(-7). Let y(w) = 3*w - 4. Let l(v) = z*y(v) + 4*d(v). Let t(x) = 2*x**2. Calculate t(l(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(2 + sqrt(176)) + 3 + (sqrt(176) - (sqrt(176) + 1 + -2)))**2.\nAnswer: -32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/11 + 13196*c**2 + 5267856384*c\/11 + 21069103104\/11.\nAnswer: (c + 4)*(c + 72576)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 3.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123373.\nAnswer: 123373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 107092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1*(-3)\/(-6))\/((-117)\/(21294\/637)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9*54\/6. Solve -14 = i - 3*y, d*y - 29 = 2*i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3084*i + 2. Let j(w) = -5*w**2 + 21*w + 6. Let t(q) = -27*q**2 + 112*q + 32. Let h(b) = -16*j(b) + 3*t(b). Determine h(r(d)).\nAnswer: -9511056*d**2 + 12336*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -54, -79, -104, -129?\n\"Answer: -25*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/18*0\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**2 + 6*d - 9. Let x(r) = 5*r**2 - 3*r + 5. Let m(l) = -4*v(l) - 9*x(l). Let o be m(6). Let p = o + 73. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 1. Let i(c) = -c + 1. Let o(b) = -6*h(b) + 3*i(b). Let p be o(6). What is the tens digit of (-9)\/p - 378\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3862 + 977. Let s = z - 106419\/22. Calculate the common denominator of 131\/36 and s.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -9.7 (c) 24.151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 58, 117, 230, 415, 690, 1073?\n\"Answer: 3*f**3 + 2*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-41)\/2)\/(3\/12 + 0). Let l = t + 87. Let h(s) = 5*s - 4*s - s + l*s. Let v(g) = -9*g. Give v(h(b)).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 5*z**3 - 5*z**3 + 17*z**3 + 2*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 8 = -6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33152.727 + -33153. What is the nearest to l in 4, -0.1, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from {d: 3, j: 3, r: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let j be ((o + 1)*17)\/(-1). Let l = j - -24. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 800.0511 hours?\nAnswer: 2880183960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*((-4)\/1)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78360 and 5040?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44576 (base 13) to base 11\nAnswer: -85164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/7 - 105852*i**3\/7 + 932873292*i**2\/7 + 14946302400*i\/7 + 59812320000\/7.\nAnswer: 3*(i - 17650)**2*(i + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 539, 1078, 1617, 2156, 2695?\n\"Answer: 539*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300008599.\nAnswer: 11, 1201, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137875 and 16545?\nAnswer: 413625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - d - 2. Let h be o(4). Let m = h - -52. Let t = m + -11. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**5 - f**4 + f**3 - f + 1. Let q(k) = 8*k**5 - 8*k**4 - 4*k**3 + 8*k**2. Let r(d) = -4*g(d) + q(d). Factor r(u).\nAnswer: 4*(u - 1)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1495956, 2991928, 4487902, 5983878, 7479856?\n\"Answer: p**2 + 1495969*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 34. Suppose 0 = -13*g + z*g. Suppose 2*x = -g*x + 26. What is the greatest common factor of x and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*-5*sqrt(200)*6 - (-5 + 4*(sqrt(200) - sqrt(200)*1))*3)**2.\nAnswer: 10800*sqrt(2) + 180324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -131. Let g = 6\/29 - -329\/232. What is the common denominator of 12\/h + (-434)\/80 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 2130*y - 226845.\nAnswer: -5*(y + 213)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45067 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, k: 6, m: 4}. Give prob of sequence zkmz.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Let c(w) = 2*w**2 + 0*w**2 + 2*w**2 - w**3. Let k be c(4). Solve y*f + u - 14 = 2*f, 5*f - 3*u + 37 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/35 + (-787)\/1410. Let o = 2\/235 - g. Which is the biggest value? (a) o (b) 1\/9 (c) 2 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/3)*i)\/i)\/(i\/(i*i**(-1))))\/(i*i**1)**(-2\/43) assuming i is positive.\nAnswer: i**(-74\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5*j - 13286*b**3 - 11*b**2*j + 26*b*j + 8064*j wrt b?\nAnswer: 60*b**3*j - 79716*b - 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k = 2*a + 146, 19*k - 12*k = 2*a + 12*k - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -103511 and -180.\nAnswer: -103691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 4\/91064089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**4\/4 + 215*n**3\/2 + 179*n**2\/4 - 61*n.\nAnswer: n*(n + 1)*(n + 61)*(7*n - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-13035.\nAnswer: -2607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 727668 and 54?\nAnswer: 2183004","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 249*t**8\/14 + t**5\/10 - 1469*t**4\/12 - 1964*t. Find the third derivative of o(l) wrt l.\nAnswer: 119520*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191062 - 134275. What is the ten thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*535276.\nAnswer: -107055.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b**2 - 3*b - 8. Let o be p(-8). Suppose -o = -k - k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/7)*(w\/(w*w\/w**6))\/w*w**(4\/3)\/w**(-10))**(7\/2) assuming w is positive.\nAnswer: w**(349\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -8*i + 5*n + 100, -93 = -5*n + 8*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.8 - 1338.2. Let w = -1355.00911 - v. Round w to 4 dps.\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + d + 17, 41 = -5*y - 314*d + 310*d for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3991020 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:52 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4 - 6)*0. Suppose n = 5*z - 18*z + 35971. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 + 456. What is the remainder when c is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 27 (c) -16\/9 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06779 - 0.93221. Sort -0.3, 58, 2, 0.4, i in increasing order.\nAnswer: i, -0.3, 0.4, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28258591 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 307 (b) -4 (c) 11\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4214000283399 and -2.\nAnswer: -4214000283401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1582822, -1582842, -1582888, -1582972, -1583106?\n\"Answer: -2*t**3 - t**2 - 3*t - 1582816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.146 - 0.145999967. Round q to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 23*u + 36. Let v be y(17). What is the tens digit of (-1 + -45)\/(v\/561)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3878, 4115, 4548, 5207, 6122, 7323, 8840?\nAnswer: 10703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 111, 254, 455, 714, 1031, 1406?\n\"Answer: 29*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12433, 23999, 35565?\nAnswer: 47131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*g**2 + 60*g**2 + 57*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2812230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + -9. Suppose -4*y - 2*c + 10 = 0, 5*y - 25 + 10 = -3*c. Put 3, y, w in descending order.\nAnswer: 3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {k: 4, j: 5, o: 1, d: 3}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336 (base 10) to base 11.\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5866.6 and 178930?\nAnswer: 173063.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 + 85 = 0. Let x be 12\/(-9)*d\/2. Suppose x = 3*u + 2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 44 + 49. Let f(w) = -2*w**2 + 4*w - 2. Let b be f(a). Is 2\/11 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*w**2 + 8*w**3 - 8*w**2)*(-4 - 3 + 16) to the form b*w**2 + m*w + q*w**3 + h and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 3) + -35 + (1 - -6) + 25\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11700 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 3, 131441?\nAnswer: 131441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 2)*(-5*l + 3*l - l) + 6 - 6 - 4*l)*(3 + 2 - 3 + (7 - 3 + 0)*(2 + 1 - 1)) + l + 3 - 3.\nAnswer: -99*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66\/8 - (-16)\/(-64). Solve -u = -5*i + 9*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 - 7260*d**4 - 5641584*d**3 - 987273024*d**2 - 7629250560*d - 15079833600 = 0. Calculate d.\nAnswer: -320, -4, 3068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.126576 millimeters?\nAnswer: 0.000000126576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 444.\nAnswer: 443.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-90)\/15 - 12. Sort a, 10, 0, 3.\nAnswer: a, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*363.1\nAnswer: -108.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13395 = 30*k - 7136 + 5831. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19869*z + 19870*z - 39 = 0 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -183486 divided by 2\nAnswer: -91743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j + 3. Determine b(14).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.4. Let t = 0.4 - l. What is the nearest to 0 in t, -5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 1. Suppose c = l - 3. Let y be 2\/l - 99\/18. Sort -3, y, -2 in ascending order.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 12 = -3*i, 0 = 5*i - 10. Suppose -210 = 36*w - 51*w. Suppose -20*x = -w*x - 36. Calculate the least common multiple of f and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1519 by 24864.\nAnswer: 217\/3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14543340 and 21815010.\nAnswer: 43630020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -708 + 712. Which is the third smallest value? (a) s (b) 16 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -51*r**3 + 9*r**2 - 7*r - 4. Let w be y(5). Let p = w + 9848. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109.29 - -2.29. Let k = 105 + w. Let d = 381 + -1899\/5. Which is the nearest to k? (a) d (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5805 divided by 1.\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 42.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/846961 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136) - (sqrt(136)*1 + sqrt(136) - sqrt(136)) - sqrt(136)) + sqrt(136))\/sqrt(8).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let w(n) = -4*n**2 + 164*n + 27. Let u be w(44). Let y = u + 505. Solve 3*p - 8 = y*q, -2*q = i*p + q + 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by 6953?\nAnswer: -71\/6953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2790\/(-837))\/(374\/(-99))?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16*(-4)\/48*-3. Suppose -3*f = -4*f + 1, 5*t + j*f - 64 = 0. Calculate the remainder when t is divided by (15\/(-25) + 3)*20\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/((-1)\/(-2)). Suppose -d*g - 1 = -10. Solve -4*k - 20 = g*y, y + 2*k + 12 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -1369774643481.\nAnswer: -1369774643516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 6 = 19*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 931370465.0000162 - 931370570. Let y = -163 - -58. Let m = b - y. What is m rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.17531ng in kilograms?\nAnswer: 0.00000000007017531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**3\/3 - f. Let o(s) be the third derivative of -2*s**2 + 0*s + 0 - 1\/12*s**4 + 0*s**3. Calculate o(h(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 304*c + 10. Is r(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4146, -4145, -4142, -4137?\nAnswer: -4130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349 bigger than 2974590\/1267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87653, -184118, -280583, -377048, -473513?\n\"Answer: -96465*v + 8812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 56*k**2 + 248*k - 1182. Determine q(6).\nAnswer: 2322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let y(m) = 4*m**2 - 2*m - 1. Let u be y(-1). Suppose 0 = -u*k - 4*p + 8, 4*k - 4*p + 4 = -2*p. Let f(s) = 0*s - 2*s + s + k*s. Give j(f(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 29*n**2 - 34*n - 8. What is i(13)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-9)*-3 + (-6)\/(-36). Let j(w) be the second derivative of 1\/3*w**3 - h*w**4 + 0 + 0*w**2 - 7*w. Find the second derivative of j(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -7064\/2275 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3263300 and 17800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117)*-1*-5 - (sqrt(117)*-1 + -3))**2.\nAnswer: 108*sqrt(13) + 4217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**2\/2 + 33*b + 14. Let j be h(0). Calculate the greatest common divisor of 264 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**23\/(t**(-1)\/(t*t**1*t)))\/((t**1)**3)**(2\/31) assuming t is positive.\nAnswer: t**(831\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/26*34\/510.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990 and 405.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 10. Let d = 56.99952 - q. What is d rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302985452 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5263.29 days to hours.\nAnswer: 126318.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/42 - (-174)\/(-84). Let w be (7 - 6) + (m - -3). Calculate the highest common divisor of w and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/36)\/(2\/(-2)))\/((-1)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 4*g - 27 = -c, 3*c + 5*g - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 19*i - 8. Let g be d(12). Suppose -b = 3*r + g, b = 2*r + 2*b + 145. What are the prime factors of 8\/(0 + (-10)\/r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 + 38.3. Let o = d + -40.915. Round o to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1800*o + 7777\/10*o**2 - 3\/10*o**5 - 1333\/10*o**3 + 2592\/5 + 103\/10*o**4 = 0?\nAnswer: 1\/3, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2240)\/272 - (-13 - (-20)\/4). Let u(l) = -l + 4. Let d be u(4). What is the third biggest value in d, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = 28*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3819 = 1093. Suppose 5*i - 3*k - 1294 - j = 0, 0 = 2*i + 2*k - 1012. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2665 + -23010?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625783076?\nAnswer: 2, 1783, 87743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -40*-449\nAnswer: 17960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v. Let r(j) = 4*j**2 + 7*j - 1. Let x be (-237)\/(-12) - 3\/(-12). Suppose -4*g = -x - 4. What is g*q(d) - r(d)?\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 96995*k**2 + 0 + 96850*k**2)*(3*k - 5 + 3 - k) to the form v + u*k**3 + i*k**2 + c*k and give u.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2658?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1170.8 + -1\nAnswer: -1171.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -175055.66 and 54?\nAnswer: 175109.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*g**2 + 2\/7*g**3 + 8\/7*g + 0.\nAnswer: 2*g*(g + 1)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17614\/3 - 5870. Factor -4 - 2\/3*g**3 + 10\/3*g + h*g**2.\nAnswer: -2*(g - 3)*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from cxuwlcz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*m - 2*m + 22, 3*m + 20 = -4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586295917?\nAnswer: 21701, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 558*g**2 - 17*g + 186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1253330000 to the nearest one million.\nAnswer: 1253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3625 and 7375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) - 1752\/20. Let g be (l\/(-32))\/(1\/28). What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 10}. What is prob of sequence kbkb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -110291 + 110289 - 1672*w - 4841*w in the form y*w + a and give y.\nAnswer: -6513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 95*j - 475. Let o(c) = 2*c**2 + 140*c - 712. Let m(d) = 5*o(d) - 8*s(d). What is the hundreds digit of m(37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1168 + 1166. Let t(h) = 3*h**3 - h**2 - 3. Let z(o) = -10*o**3 + 4*o**2 + 10. Determine k*z(j) - 7*t(j).\nAnswer: -j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-81) + 76\/18. Let g = 49 - u. What is the highest common factor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(48)\/sqrt(4)) - (sqrt(204)\/(sqrt(36)\/sqrt(3)) + sqrt(17)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let n = 38 - 37. What is the nearest to n in -2\/9, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h - 26*h + h - 4 + 4 + 3*h + (3 + 0 - 7)*(h - 4*h + 5*h).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17065, 34175, 51307, 68467, 85661?\n\"Answer: i**3 + 5*i**2 + 17088*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/1*(-6)\/(-10)*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60722.44 micrometers to millimeters.\nAnswer: 60.72244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -1\/2, 0.791, 4, 0.11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (3 - 7)*4 + 7833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324.05 + -312. Let a = -0.05 + v. Let r = -11.9 + a. Sort 0, r, 5 in decreasing order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from kkkokokkokkkkkk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -237*i**4*p**2 - i**3*p**2 + 155*p**2 + 2*p wrt i?\nAnswer: -948*i**3*p**2 - 3*i**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005899 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 667 - 3331\/5. Suppose k + 2\/5*o**2 - 6\/5*o = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u\/(u*u*u**5\/u*u))\/(u*u\/u**(-1\/4))**(-6) assuming u is positive.\nAnswer: u**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*a - 4*r + 7, -4*a - 16 = 2*r. Is ((-41)\/a)\/(6\/18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2384, 2340, 2256, 2126, 1944?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 32 = 0. Suppose 2*b = -2*b + i. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4172 divided by 4.\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 110 = 3*f. Suppose 2*v - 20 = -4*t, t - v = 6*t - f. Suppose -22 = t*m - 5*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 19*l = 5*i + 15, -2*i - 6 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5878126 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128868 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -224*a**5\/3 - 11152*a**4\/9 + 61702*a**3 + 333212*a**2\/9 + 20600*a\/3 + 3344\/9 = 0.\nAnswer: -38, -1\/4, -2\/21, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 - -3. Let q be (1\/(-2))\/(1\/(-2)). Let f(v) = -46*v + 1612. Let x be f(35). Sort -0.3, q, u, x in ascending order.\nAnswer: -0.3, u, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(((-1200)\/(-36))\/(-25))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-22 - ((-79 - 5) + 21) - (-6 - 2)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/(26\/3003*77).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:43 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:39 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Suppose 3*p - f*l - 431 = p, -5*p + 2*l + 1083 = 0. Let o = -150 + p. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*i + 13, -5*i - 4 = -o - 28. Suppose f + i*z - 19 = 2*z, 0 = -f + z - 1. Let b(g) = -3 - 17*g + 2 - f + 18*g. Determine b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1893 (b) -66 (c) -1\/4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16*(4 - 8\/4). Calculate the common denominator of -101\/4 and (-24)\/b + (-227)\/(-44).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265132 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:32 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 48?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6 times 0.3?\nAnswer: 6.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3119 * 0.3\nAnswer: 935.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 2907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*n - 231 = 0, -51 + 262 = -5*q + n. Let b = q - -46. Suppose 34 = b*k - 29. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2817820 and 4?\nAnswer: 2817820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/8)\/(-1))\/(6\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*m**5 + 14565*m**4 + 18750*m**3 - 24980*m**2 - 8328*m = 0. What is m?\nAnswer: -2, -2\/7, 0, 1, 2082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2367243, 4734474, 7101705, 9468936?\nAnswer: 11836167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let s(v) = -7 + 7 + 12*v**2. Give s(w(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -81, -118, -153?\n\"Answer: c**2 - 42*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f**2 - 5*f + 4518927 - f - 4518927 + 6*f.\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-467280)\/2376*4\/(80\/(-6))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4 + 1)*(-354 + 336).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/((o\/((o*o\/(((o**(-1)\/o)\/o)\/o)*o)\/o)*o)\/o))**(-4)*o*o**(-7)*o**1*o)**1)**(5\/2) assuming o is positive.\nAnswer: o**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 14333 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 a factor of 827459294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2 + (-1 + 4 - 2)*(2 - 4 + 1) - 5 + 0 + 2)*(-212*l + 336*l + 76*l)*(0 + 7 - 2)*(2*l + 3*l - 3*l) in the form j*l + q*l**2 + n and give q.\nAnswer: -6000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, 5, -159, -132, -5.\nAnswer: -159, -132, -5, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0885 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 - 13*b**2 + b**2 + (28*b - b + 15*b)*(-b + 5*b - 2*b).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1835 and 114.636.\nAnswer: -21.035706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -119*o. Let y(v) = -12*v**2 - 3*v - 3. Let d(k) = -108*k**2 - 26*k - 26. Let g(j) = -3*d(j) + 26*y(j). Determine f(g(w)).\nAnswer: -1428*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 74. Let o = -2\/20779 + -3615536\/103895. Let a = b + o. Is a != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7533\/5 + -1499. Let c = -34\/5 + 367\/15. Calculate the common denominator of c and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/1214271 and -44\/830817?\nAnswer: 15785523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(2 + 0 + sqrt(272)))**2 + 4.\nAnswer: 576*sqrt(17) + 9940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 372 + 520. Let c = r + -322. Is 2\/(c\/105 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r + 1120 = -51*r - a, 0 = r - 3*a - 224. Calculate the remainder when r is divided by 149.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 - 2. Let y = -25 - -27.6. Let w = -2.4 + y. Which is the nearest to 0? (a) -1\/3 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 78.04152us?\nAnswer: 0.000001300692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 35*w**2 + 255*w - 15. Let x(g) = 8*g**2 + 62*g - 6. Let q(z) = -z**2 - 2*z - 2. Let y(o) = -q(o) + x(o). Let v(m) = -4*i(m) + 15*y(m). Factor v(j).\nAnswer: -5*j*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) - (sqrt(231) + sqrt(231)*1*-1))\/(sqrt(11) + sqrt(275)*1))\/(sqrt(3) - (sqrt(15)\/(sqrt(5)*-2) + sqrt(3)) - -5*sqrt(12)).\nAnswer: sqrt(7)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -1\/36*b**4 - 1\/18*b**3 - 2 + 0*b**2 - b. Let h(t) be the first derivative of f(t). Let h(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6734973?\nAnswer: 3, 7, 320713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5\/3, -1078 in descending order.\nAnswer: 5\/3, -1\/3, -1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 6*q + 2*q + (-20*q + 8*q - 6*q)*(-5 + 3 + 0).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, -5, 3, -1 in decreasing order.\nAnswer: 21, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, i: 1, u: 2, x: 1, n: 4, h: 4}. Give prob of picking 1 n and 3 h.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -616129, -616130, -616131?\n\"Answer: -x - 616128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59278, 59276, 59274, 59272, 59270?\nAnswer: 59268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1708*u + 1858*u + 2100 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/20185 and 37\/18350?\nAnswer: 201850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22040, -22041, -22042?\nAnswer: -22043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - r**3 + 3*r**3 + 2*r**4 - 4*r**2 - 1 + 3*r**2 as v*r**2 + l*r + t*r**3 + b + z*r**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*a + 56*a - 91 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57a - 4?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -56. Suppose -4*w + 56 = 4*a, w - 17 - 27 = -b*a. Solve -a = -5*l - 5*j, 0 = -4*j + 5*j - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 + 6. Let k be (-56)\/(-10) - ((-35)\/25 + 1). Let x(o) = -8 - k - 4 - 5 - o. Let p be x(-18). What is g(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:38 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 10. Let m(z) = 2*z. Let x be m(4). Let j be y(x). Let t(a) = -a**3 + 2*a**2 + 3*a. Calculate t(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a meter in millimeters?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/50)\/((-276)\/(-30) - 10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*b**2 - 356330 + 356330.\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(91) + (sqrt(91) - 5*((2*sqrt(91) - sqrt(91)) + sqrt(91))))\/((sqrt(7) + sqrt(63))*1) + -3*(1 + (-2 + sqrt(1300) + 0 - sqrt(1300)))**2.\nAnswer: -8 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + (-2 - 100). Let c = 46 + w. Is 3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 0. Put 2, x, 0.2 in increasing order.\nAnswer: 0.2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 26. Let t be u(7). Let o(r) = 16*r - 14. What are the prime factors of o(t)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, a: 11, o: 1, j: 5}. Give prob of picking 1 o, 1 j, and 2 r.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 2. Let n = 1.4 + 0.4. Let z = 2.8 - n. Which is the closest to z? (a) j (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3657 and -68.\nAnswer: -24.8676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -158a - -5?\nAnswer: -1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (2 + (0 - -1))) + (-310 - -313).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 3*j)*(-33 - 156 - 424 + (2 + 1 - 4)*(3 + 1 - 6) - 2 + 0 + 0 + 3 - 4 + 0) + 5*j - 4*j - 6*j as o*j + u and give o.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 23398 = 19202. Round w to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 11706.\nAnswer: -1\/3902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 52*u - 646. Let i(x) = 3*x. Determine y(i(q)).\nAnswer: 156*q - 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 12. Let x be g(2). Solve -5*d - x*p + 18 = -7*d, -3*d = 2*p + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101110000012 (base 3) to base 2.\nAnswer: 11011001000111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:00 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r + 6*r**3 + 279021 - r**3 - 279021.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-1))\/(75\/(-5))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(175) + -2) + sqrt(175) - (sqrt(175) + 2 + 0))*4.\nAnswer: -100*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -s + 9*z + 9, -2*z = 5*s - 21. Solve -2*i - 2*c + s = 3*c, 4*i + 5*c - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1078 and 9\/23716?\nAnswer: 23716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10759 - -36358. Is 25600 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1922 + -1003. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from vmmbbvmmbvmvbmvvmmm?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -62 + 34 + 28 + 215*f - 225*f. Let d(h) = -40*h**2 + 6. Calculate c(d(y)).\nAnswer: 400*y**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.15248 - -132\nAnswer: 131.84752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96.12 - -1.88. Let m = -149 + a. Let p = -51.47 - m. Round p to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5712 or -5714?\nAnswer: -5712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30481.5825 less than -214?\nAnswer: -30695.5825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 times 0.9?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-4)\/(-835)) + 0. Calculate the remainder when (-2)\/((-157)\/v - 11\/55) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1590 - -1870. What is the greatest common divisor of 720 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -14. Suppose -j - 10 = -3*o, -t*o + 2*j + 0*j + 5 = 0. Suppose 0*z + 12 = -4*z + 3*c, 0 = -5*c + 20. Solve -5*k = -z*k - o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 - 2*c**2 - 2. Let q(j) be the third derivative of -5*j**4\/12 - j**2 - 2*j + 545. Determine r(q(k)).\nAnswer: -200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 62 = -989*v + 992*v, v + 54 = -5*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 495 - 499. Let n(m) = -7*m. Let r(i) be the second derivative of 133*i**3\/6 + 5*i. Give g*r(h) - 77*n(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*x + 5 - 2, y - 3*x + 1 = 0. Let k(j) = -29*j**2 - 1. Let w be k(y). Let h = w - -61. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6978, 0, 2 in decreasing order.\nAnswer: 6978, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/240 + o**5\/40 - o**4\/16 + o**3\/12 + 20*o**2. Factor z(a).\nAnswer: -(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:10 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*m - 3*o, -4*m - 3*o + 33 + 33 = 0. Let t = m + -29\/2. Let z = -10828 - -10827. Sort t, 4, z in decreasing order.\nAnswer: 4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7*v + 4. Let k be p(-7). Suppose -7*s + 39 = -k*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 0 - (0 + -33504). Suppose -60 = -4*k + 8*v - 4*v, 2*k + 2*v + 6 = 0. Is (-1)\/2*(6 - w\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 3, e: 5}. Give prob of picking 2 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -4, -0.0406, 7, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**5\/5 + m**4\/6 + m**3\/3 - m**2 - 7405*m. Let o(k) = -11*k**3 - 3*k**2 - 3*k + 3. Give -3*b(c) - 2*o(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8455 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/(c\/(c**(-2\/3)*c)*c)*c**(-2\/5)*c\/(c*(c\/c**(-6))\/c))**(1\/35) assuming c is positive.\nAnswer: c**(-877\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11436626*t**3 + 3127252*t.\nAnswer: -68619756*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -503*a**2. Let m(z) = -4*z**2. Determine w(m(l)).\nAnswer: -8048*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22165.4812 + -2.\nAnswer: 22163.4812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2068, 2067, 2066?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5)*v*v)\/v)\/v**(-5\/3))\/((v\/v**9)\/(v\/v**(-8))) assuming v is positive.\nAnswer: v**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*c + 24 = 0, -321*u + 317*u - c + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201099 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j + 3 + 3*j**2 + 5*j**3 + 5*j + 1. Let y(t) = t**3 + t**2 + 1. Calculate f(k) - 3*y(k).\nAnswer: 2*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by (3 - (2 + -44)) + 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*i = -i - 3843, 0 = -3*g - 2*i + 2885. Is g a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-15) - 4\/5. Let p(k) = 5*k**2 - k + 2. What are the prime factors of p(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 18 = -6. Suppose -1155 = -5*m + w + 1630, -z*m - 4*w + 2228 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47497 * 0.093\nAnswer: 4417.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = -2*l - 12, c = -l - 3. Let f be c\/(-6) + (-1026806)\/(-84). Let v = f + -12230. Find the common denominator of v and 49\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 2*y, -4*y = 4*b + y - 16. Find the common denominator of (-160)\/(-225) - b\/(-10) and 3*(1 + (-32)\/(-42)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789 a factor of 36502756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 11*b - 26. Let f be g(4). Factor -5*x**f - 2*x**4 + 15*x + 7*x**4 + 39*x**3 - 54*x**3.\nAnswer: 5*x*(x - 3)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 351?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -15*y**4 - 50*y**3 + 115*y**2 - 50*y = 0.\nAnswer: -5, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1997*l*m + 728846*l + 101*m**2 with respect to m.\nAnswer: 1997*l + 202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10843, 10858, 10873, 10888?\nAnswer: 10903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086, -2292, -3604, -5004, -6474?\nAnswer: -7996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 0, -o - a + 15 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 41*d - 260 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 120 = 13*y. Let j = y + -20. Let z be (-4)\/j + (-39)\/(-33). Which is the second smallest value? (a) z (b) 0.1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 9 + 6 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -193.94 times -5\nAnswer: 969.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 41855695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:31 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/2 + 3*y**4 - 7*y**3\/2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 906258890 + -906258853.0000019. Let w = x - 37. Round w to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3*b - 9*b)*(4 + 1 - 3)*(1 + 2*b - 1 + 1 - 1 - 3*b + (0 - 3 + 4)*(3*b - 2*b - 3*b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172144*g**2 - 2*g + 130712 wrt g.\nAnswer: 344288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 7*b + 1. Let a be l(-5). Let n = 858\/245 - -29\/196. What is the common denominator of a\/100*(-1)\/8 and n?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 300329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148188 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 37 - -17) + (-1 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 13*p**7\/35 + p**6\/120 + 157*p**5\/60 - 49*p**2. Find the third derivative of z(w) wrt w.\nAnswer: 1872*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*j**6 - 2*j**4*w + 2*j**2*w + j**2 + 7*j wrt j.\nAnswer: -9840*j**3 - 48*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -5. Suppose -4*p + 7 = -5. Sort i, p, 4 in descending order.\nAnswer: 4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2829 or -1?\nAnswer: -2\/2829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c + 36*c - 72*c - 15 = -3*a, 2*a - 5*c = 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85, -109, -133, -157, -181?\n\"Answer: -24*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - -1011?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, s: 4, d: 2, z: 3, v: 1}. Give prob of picking 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/9, 0.4, 5\/6, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 - 4?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6191?\nAnswer: 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 1664*c - 57977. What is s(-40)?\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 + y + 3*y**2 + 15 + y**2. Let p be f(-12). What is the second derivative of -130*z**p + 67*z**3 + 88*z**3 + 21*z wrt z?\nAnswer: 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 152654*y**3 + 12*y**2 - 14*y + 8. Let n be k(4). Round n to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 253973*i**3*w + 20*i**2*w - 965*w + 1013 wrt i?\nAnswer: 761919*i**2*w + 40*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.0088 - -0.0288. Let f = 0.82 + -8.12. Let n = f - q. What is n rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9085 - -0.0915. Let z = -1510\/9 - -168. What is the nearest to 0 in t, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (2 + -6))\/2. Is -2\/17 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 - -3) - (22 + 17)) + 15?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 + 1 + -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/53)\/((-1868)\/(-49502))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 5*r**2 + 6*r + 7. Let i be t(-6). Let o(n) = 9 + 0 + n + 2 - i. Is o(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4459 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let g be a(0). What is the second smallest value in -0.1, 4\/7, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 87\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1854*a + 1818*a + 6912. What is the remainder when a is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*h**4 + 134311*h**3 - 5685707*h wrt h.\nAnswer: 192*h**2 + 805866*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**4 + n**3 + 53*n**2 - 2942*n wrt n?\nAnswer: 24*n**2 + 6*n + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/6 - (-6)\/12. Let d(c) = 32*c + 26. Let y(g) = 11*g + 9. Let k(i) = 3*d(i) - 8*y(i). What is the units digit of k(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 20 = -v. Suppose -v*g + 4 = 9. What is the lowest common multiple of 3 - (g - 0\/1) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3200, -12550, -28144, -49988, -78088, -112450?\nAnswer: -153080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 59812 + 0\nAnswer: 59812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1032 = -225. Suppose -5*v + i + u = 0, 3*v - 4*v = -5*i - 49. Suppose -4 = 5*x - 34. What is the highest common factor of v and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386489, 386488, 386487?\nAnswer: 386486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4623073189\/24651 + -187541. Let f = b + -22520\/8217. What is the common denominator of -137\/36 and f?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.4882 kilometers to centimeters.\nAnswer: 23148820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14305 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 24*b + 17. Suppose -3*g + 237 = 228, -4*k - 1 = 5*g. Give a(k).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 8 + 0*j**7 + 1\/2*j**3 + 0*j**5 + 0*j**6 - 3\/56*j**8 + 1\/12*j**4 + 0*j + 2*j**2. What is the second derivative of s(o) wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - ((sqrt(72) + 1)*4 - sqrt(72))) + (sqrt(72) - -1*sqrt(72)*1) - (-4 + 3 + 1 + sqrt(2) + sqrt(2) + sqrt(54)\/sqrt(3) + sqrt(2)))*6)**2.\nAnswer: 1728*sqrt(2) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(-q - 2*q + 2*q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9984302 and 2294.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094864702.\nAnswer: 2, 17, 19, 1694837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2031, 3937, 5845, 7755?\nAnswer: 9667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -9. Suppose 3*o + 2*j = -40, j = -o - j - m. Which is smaller: o or -13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/(-135) + (-12)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12\/11, 1\/48, 28, -0.2?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12527694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3 - 5 + 14*c - 35*c + c**3 - 14. What is the first derivative of x(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 211, 652, 1053, 1414, 1735, 2016?\n\"Answer: -20*a**2 + 501*a - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6 - 379*r**4 + r**2 + 1082*r - 1 wrt r?\nAnswer: 120*r**3 - 9096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2037 - 12223\/6. Which is the nearest to -1\/5? (a) g (b) 3 (c) 13 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r**2 - r**2 + r**2)*(-264*r - 292*r + 154*r) + (r - 4*r + 5*r)*(5 + 7*r**2 - 5))*(1 - 3 + 0).\nAnswer: -1636*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 5:36 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15600560 is divided by 1040037.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -3)\/(-1) - 12. Let w(s) be the third derivative of s**5\/60 + 13*s**4\/24 + 11*s**3\/6 - s**2. Let u be w(c). Sort u, 1, -2.\nAnswer: -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Solve 0 = -5*v + s*q + 5, v + 4*q - 25 = -q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 74?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 71 + (-1058 - -1059 - (1 - -1))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506d (base 15) in base 5?\nAnswer: 32120403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfbxxb. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 294 + 111. What is the remainder when r is divided by 1\/2 - 440\/(-16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 444806051 to the nearest ten thousand.\nAnswer: 444810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/7, -0.1, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 11*q**3 - 9*q**3 + 788*q**2 - q + 1 - 143*q**2 in the form p*q**2 + j + d*q + m*q**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*5\/30*63 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -137, -102, -49, 28, 135, 278, 463?\n\"Answer: u**3 + 3*u**2 + 19*u - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.876 - 33. Let g = w - -50.124. Let v = 50.033 - g. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11663.\nAnswer: 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 50, 14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -1. Let h = -160 - -166. Let f = p - h. Put 2, -3\/5, f in ascending order.\nAnswer: -3\/5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 + -125.3. Let x = m - -14.3. Which is bigger: x or 0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372992636?\nAnswer: 2, 93248159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 + 7*n - 4. Let r be s(4). Let l = r + 11. Suppose l*h - 7 = 35. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 586734\nAnswer: 7\/586734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:56 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0, -3\/4, 655?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -53. Put -2, j, 5 in descending order.\nAnswer: j, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fotcggftfzcfcttcffz. What is prob of sequence ocfg?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 8) in base 14?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 3894*i - 19393. Calculate a(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 66*g - 5573. Calculate k(84).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4 - 2 - (-3)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168.1 + -53.9. Let o = r - -366. Let m = o - 143.867. Round m to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 126?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/10)\/(1186\/(-10) + 118).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37.6 and 90314.\nAnswer: 90276.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.8723085ms to days.\nAnswer: 0.00000025315171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of -13*(-16004)\/286 + 12\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4346896151 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-12) - (-7)\/(-4). Let h be (p\/3 - (-3 - -4))*-3. Suppose 13*b - h*b - 261 = 0. Calculate the highest common factor of b and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136526287 divided by 3.\nAnswer: 136526287\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.19001 to two decimal places.\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 3*b**2 - 4*b**2 + 2*b - 2*b + b**2 + (-b + 0*b - 3*b)*(2*b + 2*b - 2*b) to the form f*b**2 + y + k*b and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(4\/6 + 0). Suppose 2 = -8*o + 26. Suppose -o*h + 851 + 118 = y*a, h = 2*a - 957. What is a rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.081 + 0.019. Let q = 0.13 - 0.63. What is the closest to 0 in f, q, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 4. Let u be f(0). Let q be (12\/u + 5)\/(-1). Let h be (2\/(-60))\/(8\/(-64)). What is the third biggest value in q, -2\/9, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 - 1*(7 + -27). Solve -u - o = 4*u + w, -u = -2*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) -0.023 (c) 4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-7)\/5 - (-2)\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6676?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 25 = -2*w + 9, r - 4*w = 2. Let v(n) be the third derivative of -7\/6*n**3 - 1\/6*n**4 + n**2 + 0 - 7*n. Calculate v(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:09 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 11 = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i + 0*i - 4*i - i + 4*i + (2 + 1 - 5)*(i + 3*i - 2*i) + 2*i - 2*i + i - 79*i + 44*i - 38*i.\nAnswer: -76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 559 + -558. Let d be (2146\/(-87))\/((-2)\/(-3) - m). What is the greatest common divisor of 407 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150810341 to the nearest integer?\nAnswer: 12280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*(2 - (-84)\/(-18)). Let o be (-8)\/6*(1 - w). Solve -n - o = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5\/4, 112.179?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162736951 + 8.227.\nAnswer: -162736942.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-28)*6)\/((-183)\/244).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2044 + -407. List the prime factors of q.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 33.383.\nAnswer: 133.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-5*f + 2*f + 2*f) + 3*f + 2 - 2 - 4779*f + 3174*f - 6900*f - 3682*f - 7211*f.\nAnswer: -19397*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54607791 to the nearest integer?\nAnswer: 7390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let v(r) be the second derivative of -r**4\/6 + 7*r**3\/6 - 4*r**2 + 4*r. Suppose 51*i - 18 = 54*i. Determine i*n(a) + v(a).\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(4256\/80))\/(30\/(-3))*-1?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuvuuuvuuu. Give prob of picking 4 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Suppose 2*r - 3 = -5*h + 11, 0 = f*r + 5*h - 20. Factor 2*n + n**2 - r*n - 5*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**4 - 41114*f + 2532893.\nAnswer: -8*f**3 - 41114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 570*v. Let k(u) = 82718*u**2. What is y(k(a))?\nAnswer: 47149260*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 0*v**2 + 0*v**2 + 403*v**3 - 280*v**3 in the form b + s*v**3 + c*v + n*v**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 405304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:50 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.11, -27, -4 in decreasing order.\nAnswer: 1\/3, -0.11, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2823461.29 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13130012 - -1?\nAnswer: -13130011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10 + 32\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-329)\/141*(-90)\/(-126))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 298870?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 53940335 - 0.1\nAnswer: 53940334.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 2b0?\nAnswer: 2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 47 + 9*v**2 + (186 - 173 - 74*v + 72*v)*(-2*v + 2*v - 2*v) in the form z + m*v + g*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-19)\/t)\/(t*(t**(-2)\/t)\/t*t))**(-5) assuming t is positive.\nAnswer: t**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323 is divided by 521?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2 - 1248916*x - 9991456 = 0.\nAnswer: -8, 624466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -681764*v**2. Let q(s) = s. Give j(q(o)).\nAnswer: -681764*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 13*x**2 - 695*x - 1284. What is z(57)?\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8368803\/31 or -269960?\nAnswer: -8368803\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 2. Let f be c(-6). What is the common denominator of 10\/f*(-1050)\/108 and -39\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 148?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (96\/40)\/((1 - (-235)\/(-250))\/77).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnan when four letters picked without replacement from anannnaannanaa.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, 14, 15, 14, 11, 6?\n\"Answer: -z**2 + 6*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3188367 and 253045?\nAnswer: 15941835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*b**2 - 188*b**2 - 72*b**2 - 76*b**2 - 71*b**2 - 104*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -2. What is the closest to -1\/3 in f, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + 0 - (8330 + -8331).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.9 + -26. Let v = 4.8 - -0.2. Let t = v + -7. Which is the third biggest value? (a) h (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.2 + 61. Let u = -19 - -24. Let y = -4 + 2. Which is the nearest to 0.1? (a) l (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6051 = -511*h - 813*h + 2204 - 8069 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + 0)**2 + sqrt(32) - 4*2*sqrt(32).\nAnswer: -28*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/7, 1, 84, 5\/283, -7\/5 in ascending order.\nAnswer: -7\/5, -2\/7, 5\/283, 0.5, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12568 or 1\/4?\nAnswer: -12568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552796864?\nAnswer: 2, 8637451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*q - 72 = 0, 11*x = 8*x + 5*q + 83. Suppose 0 = -x*v + 68 + 37. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpkkkp. Give prob of picking 1 k and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 955 + -954.094. Let w = z - -0.094. Which is the nearest to 1? (a) w (b) -1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/35)\/u*u))**29\/((u*u**(-22)*u)\/u*u\/(u**(-22)\/u)) assuming u is positive.\nAnswer: u**(968\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y + 5. Suppose t + 3 = -r, y = -t - t. What is the third derivative of -4*s**6 + s**6 - s**r + 2*s**6 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.4, -109, -0.02, 0?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/1440 + q**5\/480 + q**4\/16 + 5*q**3\/6 - 22*q**2. Let x(t) be the first derivative of j(t). Let x(k) = 0. What is k?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 2*x + 585. What is the remainder when x is divided by 51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from susitihtsiibssis. What is prob of picking 2 t and 1 u?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5328818 and 3062645.\nAnswer: 3062644.4671182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 984 and 40.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**4\/y*y*y)\/y*y)*(y**(1\/4)\/y)\/y*y)\/(y**(-3\/2)*y*y**(-6)))**26 assuming y is positive.\nAnswer: y**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -2*h. Suppose 2091*w + 60 = 2096*w. What is the highest common divisor of w and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -12*p + 8*p - 10, 5*p + 15 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 117267.\nAnswer: 2\/117267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = 3*m + 14, -2*m = 3*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r**3 + 2*r**2 - 2*r. Let g(s) = 15*s**3 + s**2 - s + 1. Let k(w) = -4*d(w) + 3*g(w). Let o be k(-5). Suppose -o = -3*p - p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27928095 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004298 rounded to 7 decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67589 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -67. Let y = -0.1 + 0. Is y less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0 - 16*p**3 + 2*p - p**2 - 4*p - 1. Let l be c(-1). Suppose 0*v - 4*q + 32 = 4*v, 2*v - l = -4*q. Calculate the remainder when 15 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 3*l**2 - 7*l**3 + 6*l**3 - 4*l as i*l**2 + n + o*l**3 + x*l and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16442 or 2677?\nAnswer: 2677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -5\/3*m**3 + 62*m - 1\/2*m**2 + 38. What is the first derivative of r(i) wrt i?\nAnswer: -10*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105447181 a multiple of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*s - 10 = 0, 511*w - 506*w + 4*s + 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257010 a multiple of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 55*u**2 - 71*u - 1204. Let l be m(-28). Solve l = s + 20 - 25, g - 2*s + 5 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 45*z**2 - 28*z**2 - 15*z**2. Let l(d) = -16*d**2. Calculate l(s(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-30)*(-3)\/((-36)\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*j + 6, 0 = -2*j - 4*p + 7 + 5. Suppose 4*f - 3*l + 7 = -j*f, -5*f - 5 = -3*l. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/958931?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.688, -4, 1\/5, 1\/2 in descending order.\nAnswer: 1\/2, 1\/5, -0.688, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1925825 and 2585?\nAnswer: 1925825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35966 - 69*p**3 + 35966)*(0*p + 5*p - p) to f*p + b + t*p**3 + l*p**4 + d*p**2 and give l.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjyjwyyyjzjyqyy. What is prob of sequence ywqy?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48773*b**2 + 34*b**3 - 48782*b**2 + 97555*b**2.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5325 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/10))**(6\/5)*(t**(-2\/9)\/t*t)**(3\/14) assuming t is positive.\nAnswer: t**(38\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 16*l = 35. Let x be 8\/(-52) - 680\/(-26). Let f = l + x. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -6. Let x be (12\/j)\/(32\/(-28)). Which is the second smallest value? (a) x (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22244 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 3)*(2 - 8*j + 0 - 2)*(13*j + 5 - 5) to the form o + p*j + u*j**2 and give u.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 + -214. What is the highest common factor of 130 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 95 = -18*o. Let h be (-3 - (o + (-210)\/27)) + 0. Let s = 4 + -4.4. What is the third smallest value in s, h, 0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5) + (-9 - (-8 + 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) + (228\/9)\/(-1). Let w be (-1)\/1*1 - (u - -29). Let o(i) = -2*i + 1. What is o(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66.91 - 0.09. Let v = -65 - o. Let d(l) = -2*l - 12. Let h be d(-6). Which is the closest to 1\/2? (a) 0.07 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 124\/10 + 26\/(-65). Find the common denominator of (-3)\/4 + 56\/z and 0 + 1 + (-148)\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 137*v**2 + 898*v + 84. Determine k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -122, -118?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18782289 is divided by 1683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4994*n**3 + 6*n**2 - 42*n - 13. Is j(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4*h + 169*d**3*h + d**2*h - 7*d*h - d - h - 362 wrt d?\nAnswer: -24*d**2*h + 1014*d*h + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((2\/(-14))\/(9\/(-9)))\/(50\/(-250)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 15*v + 2. Let w be r(15). Let t(f) = 3 + 23*f + 6 - 4*f**w - 29*f - f**3. Is 33 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747347647 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100852 - 9*y**3 + 100843 + 0*y**2 - 302545 + 100850 + 0*y**2.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6834*g - 9904*g + 3639*g = 484663 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rezl when four letters picked without replacement from bsrlerlbblbsblzbbsss.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4635*c + 2*z = -4677*c - 113 - 23, -z = -5*c - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2690 + 2690.2. Suppose 4*n - 2*k + 4 = -8, -n - 10 = -4*k. Which is the fourth biggest value? (a) -0.2 (b) n (c) r (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + a**3 + 6153198*a**2 - 6153205*a**2.\nAnswer: 3*a**3 - 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 5\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6529020*f - 140. Let l be k(7). What is l rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 0*f + 2*f + (-2 + 1 + 2)*(5*f - 5*f + 2*f) + 3*f + 8*f + 5*f)*(-3*f**2 + 0*f + 0*f) to the form r*f + d + h*f**2 + p*f**3 and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 12*l - 15. Let c be f(-7). Which is smaller: c or -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-one halves of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483 divided by -112?\nAnswer: -2483\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7 = i + 1, -2*r = -4*i - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116958 is divided by 291?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let g be 21\/(-3861) + 4\/44. Let n = g - 4\/13. Sort 0, 0.2, z, n.\nAnswer: z, n, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5 + 5. Suppose 2*i - 6 = -i - 3*u, -4*u = h*i - 6. Let t be (-6)\/4*3*i\/3. Solve -t*g = g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7686 in -2.7, -5, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 5) to base 13.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4037625738 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: What is next in 1510, 4926, 10618, 18586?\nAnswer: 28830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26651, 5, 103, -0.1 in ascending order.\nAnswer: -4, -0.1, 5, 103, 26651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (307 - 101 - 32)*(0*b - 2*b + 5*b) + b - 12*b - 9*b to f*b + r and give f.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-75))\/(1\/(4 - -2)). Which is the closest to 1\/4? (a) u (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.621708 and -130.\nAnswer: -80.82204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -612?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*-4 - (sqrt(24) + sqrt(1200)\/sqrt(2)))\/((sqrt(48)\/sqrt(3))\/sqrt(2) + sqrt(64)\/sqrt(128)) + 1.\nAnswer: -136*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-8)\/(-48)). Solve -4*r + u*k = 0, 3*k = 4*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 91\/6. Let k = 69 + -273\/4. Put k, -1, b in decreasing order.\nAnswer: k, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + -3 - -19. Let d be (-3)\/t - 1\/(-3). Sort -4, d, 0.2 in descending order.\nAnswer: 0.2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*h - 69*h + 67*h - 887*h + 208*h.\nAnswer: -823*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f - 36*f - 16672 = 0. Let t = f + -266. What is t rounded to the nearest 10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = 3*x - 5, 0 = 2*n + 4. Find the first derivative of -5 + 2 + 1 - 8*r**x - 6 wrt r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14662, 29322, 43986, 58642, 73278, 87882?\nAnswer: 102442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 445*f + 1785. Determine w(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = -17. Is 5015\/20 + 3\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 2*y**2 + y. Calculate l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0*h + 7*h + 1 - 2*h. Let c(w) = 4*w + 1. Let j be 3\/((-100)\/(-10) - 11). What is j*c(p) + 2*t(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 10\/3*l**2 - 2\/3*l**3 - 2*l.\nAnswer: -2*(l - 1)*(l + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -95, 4, -1, -225, -47 in ascending order.\nAnswer: -225, -95, -47, -6, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t - 112 = 38*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000082697 to seven decimal places.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q + 5. Let z(h) = -6*h - 5. Let i(w) = -3*c(w) - 2*z(w). What is the derivative of i(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158\/12 - (-1)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 - -6. Let a = -28 + 28. What is the nearest to a in -0.5, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 824028144, 824028138, 824028122, 824028090, 824028036?\n\"Answer: -c**3 + c**2 - 2*c + 824028146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77944063, 155888119, 233832175, 311776231, 389720287, 467664343?\n\"Answer: 77944056*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.8, 2\/29, -3 in ascending order.\nAnswer: -16.8, -3, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (22 + 16 + -31 - -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v*v\/(v*v\/(v\/(v*v\/(v\/v**(-4)*v))*v)*v*v)*v)*v)**(-20)\/((v**(2\/9)*v)\/v*v**(1\/41)) assuming v is positive.\nAnswer: v**(14669\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -181990?\nAnswer: 181985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 360. Let b = 135 - j. Calculate the highest common divisor of b and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/2 + -9*59. Let y = v + 530. Solve -14 = y*b + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**6 - 227*q**4 + 48766*q**3 - 166119770*q**2 + 2.\nAnswer: 360*q**3 - 5448*q + 292596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 498451.9ml to litres.\nAnswer: 498.4519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.041.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:50 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 511887 divided by -170629?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 489858396, -5.\nAnswer: -5, 0.1, 489858396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568 + 3*j - 20*j**3 - j - 260 - 308.\nAnswer: -20*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88681154 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {l: 1, m: 1, k: 1, t: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16000075 - 0.16. Round f to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/c**(-2\/41))))\/(c*c**24))\/(c**(-16)\/(c*c**(-45))) assuming c is positive.\nAnswer: c**(-2171\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14686 is divided by 113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 5*m + 4. Let t be o(5). Suppose q - 3*q = t. Let n be (q - (-3 + -1))\/1. Solve 4*l + 15 = -3*v, 4*v - n = -0*v + 2*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3774506, 7549009, 11323512?\n\"Answer: 3774503*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 8, 5*o - 4 = -2*w + 2*o. Suppose -w*z - 4 = -7*z. Solve z*y = 4 - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1434525*h**3 + 2*h - 7328819.\nAnswer: -4303575*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4986 and 5182670.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14990631, -59962505, -134915619, -239849967, -374765543?\n\"Answer: l**3 - 14990626*l**2 - 3*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 19\/2*f**2 + 85*f + 2\/3*f**3 + 0. Calculate a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -111*b + 213. Calculate i(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 123*c. Let h(n) = -626*n**2. Calculate h(z(r)).\nAnswer: -9470754*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3969 is divided by 627.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111111010110001 + 1010110100?\nAnswer: 11100000000101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/2, 32\/23, 1\/4, -7\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*6169116\/(54\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 + 201.4. Let y = -0.07 - -0.1. What is the second biggest value in c, 4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**36\/(l\/(l*l\/l**38)))\/((l**(-10\/3)\/l)\/((l*l\/l**(-21))\/l)) assuming l is positive.\nAnswer: l**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*t**2 + 136940*t - 418080.\nAnswer: -5*(t - 1608)*(17*t - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 1439 + 6574 + 912. What is the greatest common factor of r and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1 - 81*c + 39*c + 8*c. Let j be p(1). What is j rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26716, 42468, 58220, 73972?\n\"Answer: 15752*n + 10964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 7 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -1)\/(4 - 3). List the prime factors of (m\/(-2))\/(2\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104358567?\nAnswer: 3, 23, 127, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.4 + -5. Let g = -0.3535 + -0.0175. Let p = -0.029 + g. Is p greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-10)\/36. Let t = 416\/3 + -138. Let j be 5\/360*-2 - 2\/9. What is the third biggest value in k, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2609*d**2 - 67934 wrt d.\nAnswer: -5218*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - g + 53 - 45, k - 2*g = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 + 626*u**2 - 626*u**2.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 0 - (-211 - -191)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259 + 281.4. Let o = 22 - p. Let g = -0.66 + -0.34. What is the nearest to 1 in 3\/2, g, o?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2 = 5*d, 0 = -6*s + 10*s + 5*d - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16999 at most -10595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t + 7596 = 571*t - 300*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 - 30 = 0. Let d(w) = -w**2 + 7*w + 7. Let y be d(j). Let i(b) = 15*b - 13. Let u be i(6). Calculate the highest common factor of u and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 71246\/637 + 2\/13. What is the highest common divisor of 84 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-536)\/(-1742) + 2\/6 + 1405\/(-975).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5629*n - 62840*n - 2763*n.\nAnswer: -59974*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 + 223.9. Let u(t) be the first derivative of t**2 - 7*t + 3. Let x be u(3). What is the closest to f in x, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -15*d. Let q(z) = -z. Let x be 36\/(-15)*120\/(-36). Suppose 12 - 20 = -x*p. Give p*a(c) - 18*q(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 5, -16, -55, -118, -211?\n\"Answer: -u**3 - 2*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**2 + 56*h + 2 - 26*h - 30*h in the form x + o*h**2 + g*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2812676 to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23662739753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 1. Let p(t) = 9*t + 2. Let f(b) = -8*h(b) - 3*p(b). Let w be f(-1). Solve w = 2*m + 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(36) + (-2*sqrt(180) - sqrt(180))\/sqrt(5) + sqrt(36))\/(-3*-1*sqrt(12)) + -4)**2.\nAnswer: -4*sqrt(3)\/3 + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21657 or -21667?\nAnswer: -21657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k + 51*k - 32*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 8*q**2 - 7*q + 3. Let r be v(-7). Let k(w) = -19*w - 1. Let z be k(-1). Let j = -12 + z. Solve 3*f = r*o - j, f + 2*o = 2*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12)*i**15*(i\/(i\/(i\/i**(-5\/2))))**49 assuming i is positive.\nAnswer: i**(349\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 100*d**2 + 20 + 98*d**2 - 12.\nAnswer: -2*d**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93335 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 386 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/71, -2\/9, -0.1, 0.5 in descending order.\nAnswer: 0.5, -1\/71, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1392071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 30*q + 8. What is y(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from mfxzxzzjmmlj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/89 in 2, -4, -1, -545, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aayy when four letters picked without replacement from yaaayyyaayyayayayyaa?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 at most -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, -5, -3003, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 7 = b, 0 = -3*f + b - 29 + 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-6 + 1 + 4). Put 0, 4, m in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 0, 3*p + 0*p = -3*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 13287 (c) -0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 6f0f?\nAnswer: -6f13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 16. Let j be n(-7). Suppose 5734*g - 315 = 5725*g. Let b be (-2)\/(2*1\/(-4)). Solve -6*r + j*m + g = -r, b = -m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20790 divided by -66?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9310.491ml?\nAnswer: 9.310491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 0.3 (c) 4 (d) 62\/17 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9206940 * 0.09\nAnswer: -828624.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + u + 6. Let l(o) be the first derivative of -5*o**4\/4 - o**2\/2 - 7*o - 2. Calculate -6*l(k) - 7*q(k).\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.75 + -3.05. What is the biggest value in -3\/2, 3, r, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42693, -42056, -41419?\nAnswer: -40782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.642791 to 2 dps.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 12 = -12*h. Let k(t) = -2*t - 5. Let o(g) = g. Let z(p) = k(p) - 4*o(p). Let y(x) = -5*x - 4. Let j(b) = -7*y(b) + 6*z(b). What is j(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 430*r + 22435. Give l(63).\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.463 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027849 to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(o - o + o) + (-5 + 3 + 0)*(-o + 0 + 0) + 4*o + 2*o - 5*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5873*n - 1998*n - 1860*n - 2006*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*c + 2760 = 2*c, -8229 = -3*w + 2*c. Suppose 4*u = -2*v + w - 821, v - 483 = -u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399381 by -156.\nAnswer: -133127\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/2 - 87595*a**4 - 2803408*a**3 - 25231456*a**2 - 89713024*a - 112142080 = 0. What is a?\nAnswer: -20, -4, 175222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -129. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**2 - 455767812*p = 0?\nAnswer: -113941953, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20659\/1415 + 63\/45 - 1\/(2\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 39. Let y(o) = 2*o - 19. Give -4*p(t) + 7*y(t).\nAnswer: -2*t + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*sqrt(102)*1 - sqrt(102))\/(sqrt(600) - (sqrt(600) - (sqrt(600)*2 + sqrt(600)) - sqrt(600)) - sqrt(600)) + 1.\nAnswer: -7*sqrt(17)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from wzwzzzz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 5) to base 2.\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40\/49 + 59\/588. Let j(o) be the second derivative of 0*o**2 - 2*o + 0 - 5\/3*o**3 + f*o**4. What is the second derivative of j(q) wrt q?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2880)\/(-27) - (-4)\/3)*(-22)\/(-8). Are 2074\/7 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 2*n + 1. Let w be (-3 - -1)*17\/34. Let u be w - 4*(-2 + (-2 - -3)). Determine z(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4379*k + 2. Let y(s) = 2*s**2. What is l(y(c))?\nAnswer: 4*c**4 + 8758*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 5*z**8\/1008 + 4*z**7\/315 + z**6\/360 - z**5\/90 - 3*z**2\/2 - z. Let b(c) be the first derivative of h(c). Factor b(f).\nAnswer: f**2*(f + 1)**2*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 4, 5, -102\/5, -1, 44144 in descending order.\nAnswer: 44144, 5, 4, -2\/9, -1, -102\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {c: 6, o: 4, j: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 602303 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 prob of picking 1 m and 2 g when three letters picked without replacement from mmgggggmgm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 greater than 218855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*5 + (sqrt(2) + sqrt(8) + 2 + sqrt(2))**2.\nAnswer: 36 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 + -0.07.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*f - 24 = 0, 128*f - 130*f + 4 = -4*l. Factor 2*k - 18\/7*k**l + 10\/7*k**3 - 2\/7*k**4 - 4\/7.\nAnswer: -2*(k - 2)*(k - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/70 - j**4\/42 + j**3\/21 + j**2\/7 + 2*j. Factor g(c).\nAnswer: -2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1128832 by -5.\nAnswer: -1128832\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50225?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35501, 143288, 322959, 574514, 897953?\nAnswer: 1293276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3653092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8987 + -10900. Which is the closest to -1\/4? (a) f (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -367 greater than or equal to -377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*d - 30*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2590*o - 10 - 15632*o + 9)*(1 - 2 - 1) in the form t*o + u and give t.\nAnswer: 36444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2920.56046 to 1 dp.\nAnswer: -2920.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -108.111. What is n rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/14 - (-2)\/7. Suppose -w - 1 + 7 = f*t, 0 = -3*t - 9. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 5 = 0. Let k be 75\/40*a\/(20\/8). Sort k, 1\/11, -1.2 in descending order.\nAnswer: k, 1\/11, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 6) to base 15\nAnswer: 12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddik. Give prob of picking 1 k and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -1, 1134, 1\/12 in decreasing order.\nAnswer: 1134, 1, 1\/12, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**5)*j**(-6\/13))\/(j**2\/j)**48 assuming j is positive.\nAnswer: j**(-708\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 14*i - 2*i)*(53 - 187 - 46).\nAnswer: -2340*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.158, 3, 29, -0.17, -2\/3?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3291?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:42 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194067 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 435 = -5. Suppose 2*c - q = 2*d, 2*c = 3*c + 3*d - 36. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72382160.\nAnswer: 2, 5, 904777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2534 is divided by 281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 - 3*b**5*z**3 + 23*b**3 + 7*b**2*z + 2*b*z**3 + 11*z wrt b?\nAnswer: 120*b**3 - 180*b**2*z**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -34621*d + 69234. Calculate r(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/((-731600)\/(-177))*-5.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203625 is divided by 1251?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/363 - (-122)\/(-110)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/60 - c**4\/24 - 17*c**3\/6 - 2*c**2. Let b be z(0). Let v = b - -35. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43133 in -0.4, -73, 49?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 - 5*i - 171. Let q(r) = -4*r**2 - 2*r - 106. What is 5*q(l) - 3*v(l)?\nAnswer: 4*l**2 + 5*l - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 - 2692659*g**3 - 60420090622374*g**2\/5 - 90383621963740934292*g\/5 + 271151409672401913288\/5.\nAnswer: -(g - 3)*(g + 4487766)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -27. Suppose 4*u = -3*u + t. Let f(c) = 908*c**3 + 0*c - 910*c**3 - 3*c + 4*c**2. Let z(m) = -m**3 + 2*m**2 - 2*m. Determine u*z(g) - 3*f(g).\nAnswer: g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let d(q) = 2*q**2 + 88*q + 8. Give d(p(v)).\nAnswer: 8*v**2 - 176*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2227 (base 8) to base 6\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297920 divided by -4.\nAnswer: 74480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 195545?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12235 divided by 2447.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 5*x**3 + 2*x**3)*(0 - 4 + 0)*(-4 + 1 + 1)*(-4*x + x + x).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269639.6 - -294.\nAnswer: -269345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 202, -2\/3 in decreasing order.\nAnswer: 202, -1\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-5)\/(45\/(-207)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648908169 a multiple of 6692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i + 2 = 2*x, 3*x + 5*i = 16. Suppose -x*f + 0 = -6. What is the second derivative of -10*w**f - 9*w - 6 - 1 + 7 wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7655690 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984 - 401 = 53*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + d**2 + 2*d**4 + 2*d**2 - 10*d**3 + 9*d**3 - 1 in the form a*d**4 + u*d + i*d**3 + c + k*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/3, 0.16, 10 in decreasing order.\nAnswer: 10, 2\/3, 0.16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0599 rounded to two decimal places?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11851?\nAnswer: 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10\/4*3\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6900, 13617, 20164, 26547, 32772?\nAnswer: 38845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from gggfgfmmggphqmh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 1254*k**3 - 4722*k**3 + k.\nAnswer: -5976*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 7*b + b - 24*b as h*b + t and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 495\/(-27)*6\/(-2). Suppose 0 = 3*g - g - 44. Calculate the smallest common multiple of ((-44)\/w)\/(2\/(-40)) and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {y: 1, m: 1, e: 8, b: 6}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 66. Let t be (1\/(-2))\/((-6)\/z). Suppose 0 = -t*x - 2*i + 34, i + i = 5*x - 38. What is the least common multiple of 6 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-270))\/(-2*(-2)\/(-4)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928*y + 2575 = 953*y. Solve -17*c - y = -35 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 17 + 16 = 0. Suppose -3*y - 184 + 406 = 0. Let s = y + h. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 - -3.682. Let x = -1.598 - g. What is x rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 + 259. What is the third derivative of -161*g**4 - g + g**3 + 375*g**q - 192*g**4 + 33*g**2 wrt g?\nAnswer: 528*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwwwcakcaccwccc. What is prob of picking 2 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471944 divided by 22.\nAnswer: -21452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 14*v - 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 412\/3563 or 1?\nAnswer: 412\/3563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/28)\/(2\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373 plus 74?\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 4 (c) 1 (d) -0.07 (e) -0.06 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758018 divided by -430?\nAnswer: -1379009\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:59 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*d + d + 240, -4*g + d + 193 = 0. Let y = -9 + 12. Calculate the remainder when g is divided by y*-1 + (14 - -5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -3*k - k + 2*v, -60*k - v = -k + 97 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -4. Let l = -331\/368 - -13\/16. Which is the second smallest value? (a) m (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/2, 5, 478?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1930172 + -5?\nAnswer: 193016c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 - 26 = 0. Suppose i = 3*t, -u + 0*t - 3*t + 5299 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162809869 a multiple of 2797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - g)*(-g**2 + g**2 - g**2) - 7096*g - 21*g**3 + 7096*g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 + 4*w + 5. Let m(y) be the first derivative of -3*y**3 + 2*y**2 + 4*y - 46. Let l(x) = -4*h(x) + 3*m(x). Calculate l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.062 (b) 4 (c) 0 (d) 13 (e) -9\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/665 or 0?\nAnswer: -2\/665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + 2*i. Suppose -i*a + p = -4, -3*p - 12 = -4*a - 2*p. Suppose a*j = 3*j. Which is bigger: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89754257 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -421 + 103 + 101 - 524*w + 105 + 104 in the form c*w + v and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*w = -600. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -43899*d. Let z(v) = -v. What is k(z(b))?\nAnswer: 43899*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) 3\/76 (b) -1\/17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Let s = z + -8. Let n = -17 + 17.1. What is the closest to n in -3, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 240382 - 392?\nAnswer: 23bbb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j + 38 + 19*j + 65*j + 44*j.\nAnswer: 108*j + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 4 - 4)*(3 - 2 + 9)*(x + 3*x - 5*x) + 3*x - 3*x - x**2 as d + t*x**2 + c*x and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + 15. Let y be (-2)\/3*684\/12. Let x = y + n. Calculate the smallest common multiple of x and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 - 4*o**4 + 4*o**4 + (-o**2 + o**2 - o**2)*(3 - 3 - o**3) + 4*o**5 - 11*o + 11*o.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 7, 247, 2, 3, -34 in decreasing order.\nAnswer: 247, 7, 3, 2, -34, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154826?\nAnswer: 2, 17, 92789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 111\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 0*p + 6*p)*(-2 - 1 + 1) + 0*p + 0*p + 2*p + (2*p + 2*p - 2*p)*(-1 + 5 - 2) + 2 + 2*p - 2 - 3*p + 7*p + 3*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4046 - 4029.13. Let z = 0.13 + p. Let a = -17.000072 + z. What is a rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 871\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3544 + -3539. Let f = -3.1 - -0.7. Let i = f - -1.4. Which is the closest to i? (a) 1 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:35 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 10*n**2 + 8*n + 8. Let o be (19 + -13)*195\/2 + -3. Let w = o - 573. Give u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*x + 7244, 2*g - 2254 - 694 = -4*x. What is the greatest common factor of g and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**(-5\/6)\/o)\/o)*o*o**(2\/5)*o)**(-3))**(-1\/3))**36 assuming o is positive.\nAnswer: o**(1122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -13) + (-22 - -49 - 39). Solve -192*x + 188*x + 32 = p for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 1. Let z be u(1). Are -6 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 5*k = -76, 7959*p - 2*k = 7960*p + 4 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175 + -1229\/7. Let z = -1.0067 + 5.0537. Let m = z - 0.047. What is the nearest to -1 in -2, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -205656.887 and -5?\nAnswer: 205651.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4 - 3*l + 3 + 4*l**2 - 4. Does 5 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27140 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 1. Let f(h) be the second derivative of 1\/2*h**2 - 6*h - 1\/12*h**4 - 1\/6*h**3 + 0. Give f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = d + 43 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/15)\/8 + 310\/30. What is the second biggest value in 1, -38, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 2*m - 3*m)*(2157*m - 1272200 + 1272200)*(-4*m + m + 2*m) as q*m**2 + x*m**3 + h + a*m and give x.\nAnswer: 6471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/14 + 4*c**3\/21 + 151. Solve i(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2433960 and 13386780.\nAnswer: 26773560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -288337984 divided by 97808?\nAnswer: -2948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274268 to the power of 1\/2, to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1221 - 1046. Calculate the remainder when y is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3\/2 (c) 29 (d) 3722 (e) -2 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3681.47834 and 0.3?\nAnswer: -1104.443502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, 0.48, -5?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m - 68 = 2*p, 5*m - 5*p + 80 = 0. What is the tens digit of (1 + 11)\/((m\/(-6))\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 114*l + 110 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 1. Let l be -1*((-2)\/4 + 1). Sort 2\/5, t, l.\nAnswer: l, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2.2. Let w = l + 5.2. Let m = -12 + w. Which is the nearest to -1\/3? (a) m (b) 3\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-6) + (-12)\/(-18). Let g be (-4 + 34)\/(j + 5). Let p(s) = -g*s + 4*s + 6*s. Let x(b) = b. Calculate p(x(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111442 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 110.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640633 and 1988.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 7. Let w be s(11). Let r be (-6)\/w + (-68)\/(-20). Let o be 1\/(-4)*28\/(-21). Which is the nearest to o? (a) r (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-42)*p\/(p*p**(-42)))\/(p**(6\/13)\/p**3))**(-41) assuming p is positive.\nAnswer: p**(-1353\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 31.2. Let w = -0.6 - b. Let t = 0.8 + w. What is the biggest value in 5, -1, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -5. Let r = 5.951 - 26.951. What is the nearest to 0 in 2\/3, r, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1020564764*i**2*x**2 + i**2 - 37817818*i + 3 wrt x?\nAnswer: -2041129528*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/3 - 7*v**2\/2 + 14*v. Let k be r(-6). Factor -20*a**4 - 11*a**2 - 35*a**3 + 0*a**2 + a**2 + k*a.\nAnswer: -5*a*(a + 1)**2*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4de (base 16) to base 10\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -368, -369, -370, -371, -372?\n\"Answer: -g - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1474 = 4*o, -f + 3*o - 734 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 99989083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-157)\/7 + 56\/(-98). What is the third biggest value in 0.1, -0.14, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 15526368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, b: 5, d: 4, v: 1, s: 1}. What is prob of picking 1 s and 3 d?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*v - 5355 - 2910 = 0, 3*w - 3*v = 8229. List the prime factors of w.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2442, -6483, -10552, -14649, -18774, -22927?\n\"Answer: -14*o**2 - 3999*o + 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r = -23*r - 760 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d + 5. What is r(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2) - (-82)\/37638*-270.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13017 = -490*o + 6157 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10991\/6 - -1855. Let y be 16\/40 + 122\/276. Let m = -1\/115 + y. What is the common denominator of m and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l**(1\/4))\/(l**2)**36)**(-3\/7) assuming l is positive.\nAnswer: l**(885\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 802.7 - 747. What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and -79\/56924.\nAnswer: 56924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-120)\/(-24))\/(0 - -1). Suppose -6*x + 1687 = -m*a, 5*x - 1095 - 285 = -a. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/444 and -16\/21?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -35*v - 594. What is k(-13)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (-6 - (-7 + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let d(f) = f**2 - 8*f - 17. Let h be d(9). Let a(z) = 6*z**3 + 6*z - 6. Let q(b) = 2*b**3 + 2*b - 2. Determine h*q(s) + u*a(s).\nAnswer: 2*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/5)*y))\/(y\/(y\/y**(-5\/3))))**(3\/2) assuming y is positive.\nAnswer: y**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694604679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/3 - 9*p**2\/2 + 14*p - 8. Let m be q(-10). Suppose 4*a - 184 = -0*a - m*u, -47 = -a - 2*u. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1034838 and 38\/15471.\nAnswer: 9313542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(459) + (sqrt(204) + sqrt(51))*-1 + sqrt(51))*-3)\/(-2*(-3*(sqrt(3) - (sqrt(3)*2 + sqrt(3) + sqrt(3))) + sqrt(3))*6).\nAnswer: 7*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8783*u - 6929*u - 701114 = 690*u - 110642 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4647*k - 42*k**2 - 934*k - 929*k - 923*k - 929*k - 932*k.\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11)**(-1\/14)\/(a\/a**(-3\/4)*a*a*a**(5\/12)) assuming a is positive.\nAnswer: a**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 4*i. Let o(c) = -20*c - 3 + 15*c**2 + 2 + 1. Let q(p) = -2*o(p) - 11*z(p). What is the second derivative of q(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 - 6*l**2 - 8*l + 5. Let j(d) = 34 - 9*d + 4*d**3 - 95 + 31 - 7*d**2 + 36. Calculate -5*j(w) + 6*o(w).\nAnswer: 4*w**3 - w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(110) - (sqrt(110)*2 + sqrt(110)))\/sqrt(11))\/sqrt(2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-346 - 2*b - 389 + 922 + 955)*(-2*b + b - b) to d + c*b + w*b**2 and give c.\nAnswer: -2284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 61. Let y be i(-14). Factor 3090 - 3090 + 2*r**4 + 2*r**y.\nAnswer: 2*r**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27767296393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 556.\nAnswer: -1\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = -9. Let r be (g*(-1)\/(-2))\/3. What is the nearest to 1\/4 in -0.5, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 59*x + 99. What is u(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/3 - (-689*12 + -4). Suppose 16*u = -1757 + m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312182517 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -295 + 299. Suppose -4*l + 2*v + 2677 + 1133 = 0, q*l - v - 3811 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and -29.385.\nAnswer: -0.47016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1001001010110 (base 2) to base 12\nAnswer: -2872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:26 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13856251 is divided by 1226?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 40*w - 72.\nAnswer: -2*(w + 2)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2108, -2109, -2112, -2117, -2124, -2133?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 47*t - 235. Give r(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 - 5*j. Let f be l(0). Let y = 1384\/11 + -126. Let s be (2\/(-2))\/(6\/12). Which is the closest to f? (a) s (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -548 and 2128.\nAnswer: -1166144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 136882400 divided by 68441200\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1189\/2046 + -41\/62. Let d = 380123\/30 + -12668. What is the common denominator of s and d?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -654*v - 1171*v - 29774 + 4224 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -977 rounded to the nearest 10?\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 2*a**2 + 2*a - 19. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 38*z. Let r be 14700\/126 - (-2)\/(-3). Let q(u) = -r*u + 53*u + 72*u. Determine q(x(v)).\nAnswer: 342*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16cc6c9 - 9?\nAnswer: 16cc6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Suppose w = 4*g - 4, -2*w - 7 = -i*g + 1. Suppose -11*k + 10 + 1 = g. Which is the nearest to 0? (a) 5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/60 - 7*v**4\/8 - 11*v**3\/3 - 5*v**2 - 2*v - 6. Give j(-21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 260 = 168. Suppose 253 = 4*c - 3*u, -4*c - 3*u = -7*u - 248. Let x = i - c. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(147))**2 - sqrt(3)) + 2.\nAnswer: -sqrt(3) + 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 0.6, 8\/7, 0.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-995260 - 2485*b**2 + 995260) - 4*b**2 - 2*b**2 + 4*b**2.\nAnswer: 4968*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -21 (c) -4 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 260\/(-30) - 2*2\/(-6). Let v(l) = -l**3 - 7*l**2 + 9*l + 11. Let o be v(-8). Suppose -17 = -5*u + o. Sort u, g, -4.\nAnswer: g, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15163, -14547, -13535, -12139, -10371, -8243?\n\"Answer: -2*p**3 + 210*p**2 - 15371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 170 = 3*j - 167, 0 = 2*j - 3*p + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 23*p - 1931. What is w(57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -9 - (5 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 4, y: 16}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/2155 and -97\/120.\nAnswer: 51720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13607658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 557.3221 to 0 dps.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + t - 2*t = -63, -104 = -l - 2156*t + 2154*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 1849*y**9\/252 + 2221*y**5\/15 - 21*y**2 - 11. What is the third derivative of i(a) wrt a?\nAnswer: 443760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 90 - 8*b - 8*b - 36.\nAnswer: -26*b + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 12*u**2 - 6*u - 20. What is the remainder when 244 is divided by o(11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (76\/(-48))\/(3\/6) + 4. Sort 0.4, a, -16 in increasing order.\nAnswer: -16, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 27 - 298)*(-5 + 2 + 1 + 2*a) as r*a + d and give r.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*y = 4, -5*o - 9 - 11 = y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 equal to 480429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 111*g - 167. Is 28 a factor of p(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -24 + (-1 + 3)\/(-2). Suppose 171 = 187*w - 184*w. Let t = w + x. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11968873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + l**4 + 0*l**4 + (0*l + 0*l - l**3)*(58 + 10*l - 58).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2314.93 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 4*k - 1. Let w be h(-4). Let z = w - 44\/3. Let f = -30 - -29.3. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 + 9*k + 8. Determine a(-7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2*u - 2. Let a be o(3). Let c(d) = -d**3 - 5*d**2 + d + 5. Determine c(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -3)*(1 + -1). Let o be 8 - ((-2 - -6) + s). What is the third derivative of 4*u**4 - 4*u**o + 3*u**2 + 17*u**6 + 0*u**4 wrt u?\nAnswer: 2040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 7*r - 4. Solve 0 = r*i + 2*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:57 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**4 - g**3 - g**2 + g - 1. Let j(r) = 144*r**4 - 440*r**3 + 308*r**2 + 20*r - 36. Let t(q) = j(q) - 4*p(q). Find l, given that t(l) = 0.\nAnswer: -2\/7, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26547803.83 rounded to the nearest 100000?\nAnswer: -26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17 = -g, -4*b = -b - 2*g - 20. Suppose -20 = -2*v - 0*v. Calculate the remainder when v is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218637279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 657037, 657002, 656967, 656932, 656897?\n\"Answer: -35*x + 657072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*t**2 - 3 + 3)*(-5*t**3 - 3*t**3 + t**3) + (t**3 + t**3 + 0*t**3)*(-t - 2*t**2 + t) - 2*t**5 + 4*t**5 - 4*t**5 + t**5 + 0*t**5 + t**5.\nAnswer: -109*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 49.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = -6. What is l in -3\/2*l**4 + 5*l**3 - 1\/2 + 3*l - 6*l**b = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 3. Let n be 5*1 + -5 + 6. Suppose -5*b + 39 = -t - 19, -5*t = 15. What is the remainder when d(n) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629334*n**2 - 194081*n wrt n?\nAnswer: -1258668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k + 2*o - 2, 5*k = -5*o + 30. Let g be 48*((-16)\/(-12))\/k. What is the greatest common factor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -49*v**3 - 7*v**2 + 4*v - 341. Let m(n) = 48*n**3 + 8*n**2 - 5*n + 342. Let t(u) = -5*g(u) - 4*m(u). What is the first derivative of t(l) wrt l?\nAnswer: 159*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401 + -367. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99 - (-76 - -208)) + (166 - -2)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -351. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2300e (base 15) to base 16\nAnswer: 1b31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*z - 2, 790*z + 10 = 795*z - 5*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 10*q**2 + 10*q. Let d(m) = 3*m**2 - 3*m. Let s(b) = -7*d(b) - 2*i(b). Let x be s(1). Solve -5*z - 30 = 5*c, x*z + 5*c + 27 = -0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 - 3*d - 11. Let c be g(5). What is the common denominator of -47\/66 and 408\/96*c\/(-7)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-1472768\nAnswer: 1767321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least -321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**28*(c**29*c)\/c**(4\/3))**(1\/75) assuming c is positive.\nAnswer: c**(2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6785727 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2861802 and -5.33?\nAnswer: 2861796.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -168, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by 6455.\nAnswer: -103\/6455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.1812 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 + (-2)\/(-1) + 0. Let y = s - 19. Find the third derivative of y*l**2 + 0*l**6 - 12*l**2 - 4*l**6 wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5195, 5185, 5161, 5117, 5047, 4945?\n\"Answer: -l**3 - l**2 + 5197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {q: 6, d: 1, r: 5, x: 3, c: 5}?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6190.7?\nAnswer: 6190.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4904, 19316, 43316, 76904, 120080, 172844?\nAnswer: 235196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j - 44 = b, 5*j - 25 = 0. Let t = -13 - b. Calculate the highest common divisor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4463 + 21016?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 11. Let h(z) = -z**2 - 6*z + 9. Let x be h(g). Solve 3*j - x*j = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 + 4*p - 4. Let g be n(-5). Let o = g + 1. Which is the closest to 2\/5? (a) -1 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*w = 2*y - 505*w + 14, -28 = 4*y - 28*w for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 572, 833?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 1057759456?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-95)\/(-56) - 4\/7).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94958?\nAnswer: 2, 79, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d + 10. Let h(f) = f**2 - f - 21. Let c be h(5). Sort d, 5, c, 4.\nAnswer: d, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 5. Let w(q) = -5*q**2 - q. Let y be w(-1). What is the remainder when 25 is divided by r(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 1, p: 1, c: 5, x: 3}. What is prob of picking 1 z and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/2850*(-3)\/(-4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 25. Suppose i*t = 9*t - 48. Solve -2*k - k + t = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3\/3 - 2880*b**2 - 140544*b - 1695744 = 0.\nAnswer: -24, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 divided by -889?\nAnswer: -353\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.70579985038 + -2.7058. Round j to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10034024 (base 5) to base 15\nAnswer: -18cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4352 and 128.\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/36*(-22 - (0 - -2)). Let y = c + -17. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04456 - 155\nAnswer: -154.95544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1000 = 5*g, 0 = g + 4*n - 184 + 1. Does 21 divide (-13 + 1)*g*(-6)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2. Let s(u) be the third derivative of u**5\/12 + u**4\/3 + 3*u**3 - 31*u**2. Let p(d) = -4*n(d) + s(d). Give p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/34434231 - -8200305507590\/5612779653. Let p(l) = -134*l - 13. Let r be p(-11). Let d = r - j. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 116 = 4*w, -2*b = -4*w + 90 + 38. Let l = 9 - -3. Let s = -6 + l. What is the greatest common divisor of s and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 1, w: 5, m: 5}. Give prob of picking 2 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 72*v + 999 = -4*z, -139*z + 66*z + 72*z + 59 = -4*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76)*4*4 + (sqrt(76) - (sqrt(76) - 2*sqrt(76)*2 - sqrt(76) - sqrt(76))) + (0 + (sqrt(76)*2 - sqrt(76)))**2.\nAnswer: -52*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/1596*-19 + 218\/8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 173\/4. Let d = -1 - 1. What is the closest to d in 3, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/30 + v**4\/12 - v**3\/2 - 2*v**2. Let d be c(2). Solve 0 + d = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:27 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 - h**2 - 1. Let t(v) = -259*v**4 - 15*v**3 + 169*v**2 + 3. Let g(b) = -3*q(b) - t(b). Find the third derivative of g(m) wrt m.\nAnswer: 6216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -231296.97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -27*((-15)\/(-9) + -3 - 0). Suppose q*r = 246 + 726. What is the remainder when 78 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*i + 4, -4*a + 5 + 2 = i. Let q(h) = h**3 + 5*h**2 + 3*h - 3. Let v be q(i). What is the units digit of ((-2)\/3)\/(3\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65567 and 60.\nAnswer: 3934020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7577387 + 14.\nAnswer: 7577401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*a + 23, x + a + 8 = -3*a. Suppose -x = -5*q + 13. Solve 5*c + 4*r = 33, q*r - 8 = r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*282\/30268)\/(2\/8).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-5 + 16 - 6) - (-7 - (-45 + -7))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1300) + sqrt(1300) + 1)*-1*2 - (-5 + (sqrt(1300) - (0 + sqrt(1300) + -4))**2 + sqrt(1300))).\nAnswer: 26 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 235, -0.09, -1\/18, 3, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13947?\nAnswer: 3, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22779968?\nAnswer: 2, 355937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 65 = 3*k, 0 = -3*x - 13*k + 88152 - 88080 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/5 + 523335704*s\/5 - 34235032385146952\/5 = 0 for s.\nAnswer: 130833926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0385907 kilometers to centimeters.\nAnswer: 3859.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32786 and 1358.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r = 19*r + 9*r + 238 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 7, e: 3, d: 1, c: 3, t: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by ((-65)\/(-10))\/((-2)\/(1 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24442 (base 6) to base 16.\nAnswer: -e2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, 4, -4.5 in increasing order.\nAnswer: -4.5, 7\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51648, 85932, 120216, 154500?\n\"Answer: 34284*u + 17364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(1\/2)*(y**1)**(-50) assuming y is positive.\nAnswer: y**(-149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2978, 2952, 2908, 2840, 2742, 2608?\n\"Answer: -w**3 - 3*w**2 - 10*w + 2992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36 and 41627.\nAnswer: 14985.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*i = 79*i - 972*i - 93*i - 249505 for i.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o - 1. Let f(w) = -w**3 - w**2 + 2*w + 1. Let r be f(-2). Let m be y(r). What is the greatest common divisor of 44 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50577923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2153990 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*(-7)\/378)\/1)\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(6*u - u - 18*u)*(-13 - 4 + 5).\nAnswer: 156*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8*(-20)\/1. Solve -16 + 1 = -s + 2*k, 2*k = -w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 192 - ((-5)\/5 + 4). Let j be a\/18*(-4)\/6. Is -7 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 143*b - 3944. Calculate h(54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let y(d) be the second derivative of -d**4\/12 + 5*d**3\/6 - d**2 + 145*d. Calculate y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose x*y - 16 = -2*g - 3, 4*g - 17 = -3*y. Suppose 0 = s + y*s. Solve 4*b - 2*d - 30 = s, 4*d + 20 = -0*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 0.5, 905, 4, -0.3, -1\/6 in ascending order.\nAnswer: -1, -0.3, -1\/6, 0.5, 1, 4, 905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(1*sqrt(486)).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k - 25. Sort -0.3, -3, k in decreasing order.\nAnswer: k, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 - 14*r**3 - 5*r**3 + 0*r**3.\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4923\/2 - 2512. What is the common denominator of w and 79\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10 + (-6)\/(-10). Suppose -4*r + 251 + 377 = j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 14255*b**3 + 8*b + 2*b - 5*b.\nAnswer: -14255*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 26. Let u = 42 + q. Calculate the common denominator of 21\/u + 1*-2 and 51\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 376 - 112. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - 0) + 2 - -3) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -488423\nAnswer: -10\/488423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0*u - 1\/660*u**6 + 14*u**2 + 1\/33*u**4 - 1\/330*u**5 + 4\/33*u**3 + 0. Solve c(f) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28711 times -177.1\nAnswer: 50.847181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -3 (c) -0.1 (d) -1\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:27 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43439 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 893369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - 60 + 66 - 4*o**3 + o**2 to z*o**2 + u*o**3 + v*o + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 40. Let v(s) be the first derivative of s**3 + 1410. What is k(v(u))?\nAnswer: -36*u**4 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, v: 1, d: 2, k: 1, z: 8, g: 1}. Give prob of picking 1 o, 1 v, and 2 d.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -5, 38, -13, 0 in decreasing order.\nAnswer: 38, 32, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3 = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*d**2 + 108456*d + 8820 = 0. Calculate d.\nAnswer: -10\/123, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11354, -45170, -101460, -180224, -281462?\n\"Answer: -11237*m**2 - 105*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-24)*5\/((-25)\/(-6)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181.95 + 0.05. Let p = 182.3 - y. What is the closest to 1\/3 in -5, 2, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let s = 7 + -15. Let h(z) = 4*z**2 - 8*z. Let o(a) = s*m(a) + h(a). Let b(i) = 9 - 9 - i**2. Give b(o(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(-38)*(w**2)**(1\/13))**(-10\/19) assuming w is positive.\nAnswer: w**(9740\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 3, z: 1, c: 4, d: 2, o: 4, q: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, g: 1, u: 1, q: 1}. What is prob of sequence jlg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -199\/10. Calculate the common denominator of p and (-154)\/6 + (-10 - (-168)\/12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(700) + 2 + 0) - (sqrt(700) + sqrt(700) + 2 + sqrt(700) + -1 + 6*-2*sqrt(700)))**2.\nAnswer: -480*sqrt(7) + 44809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*f + 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 (base 8) in base 12?\nAnswer: -33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*m + 1 - 5, -5*m = -2*i + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 13. Let q be o(-13). Suppose q = 2*k + 3*k. Suppose -5*g - g - 30 = k. Is -5 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2470 + -14879\/6. What is the common denominator of l and -83\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1200) + 5 + sqrt(12) + 1)*2)**2 + 4.\nAnswer: 1408*sqrt(3) + 6068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -6*i**4 + 202*i**3\/3 - 2*i - 229. Find the third derivative of g(l) wrt l.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1961142283 to the nearest integer?\nAnswer: 44285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:34 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -23*q + 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1629165, -1629168, -1629173, -1629180?\n\"Answer: -b**2 - 1629164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -475*z**5 - 20754*z**4 + 70976173*z**2 wrt z?\nAnswer: -28500*z**2 - 498096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 8. Let b(j) = 22*j. Let q be b(1). Suppose -u - q = -5*i + 2*u, 2*i - 8 = 2*u. Suppose -i*r - 30 + 0 = 0. What is k(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 28*k**3\/3 + 71*k**2\/2 + 75*k. What is the first derivative of l(w) wrt w?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:21 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 1089 + 1081 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1364*v - 2 - 248*v + 1676*v - 2*v**2 to h*v + c + r*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.55 + 1.42. Let b = x - -1.13. What is the fourth smallest value in 4, 0.8, b, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54581346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 217\/5 in 0, 2\/15, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 108 = 2*r. Suppose 5*y - r = -2*u - u, -4*u + 26 = 5*y. Solve 5*z - y - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591110591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 97941267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.250545 and 0.5?\nAnswer: 1.1252725","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(768) - (-3 + (-2*sqrt(768) - sqrt(768)) + sqrt(768))) + 2 + -5)**2.\nAnswer: -41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n - 67. Suppose x = -4*a + 40, 0 = 3*a - 2*x - 6 - 24. Suppose 3*k = -a*k + 117. Is g(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8448 = 2*i, 12672 = 3*i + 2*d - 5*d. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 63. Solve 4*u + 5 = -z, y*z + 19 + 1 = 3*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 157 = -0*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 5, 8, 11?\n\"Answer: 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10812028 is divided by 7886.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1219 divide 51207752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 - 34188*c**4 + 73510560*c**3 - 1959940800*c**2.\nAnswer: 4*c**2*(c - 4260)**2*(c - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22141486 - -2?\nAnswer: 22141488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500825016 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: Evaluate (12 + -7 - -10) + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*g - 5*v - 5, -3*g + v + 18 = 0. Solve g = 3*j + 3*n, -2*n + 4 = j - 0*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-10))\/((-9)\/(-30)). Suppose 0 = -0*a + 2*a + z. Let f = a - -4. Solve 4*g = 4*y - 0*g + 16, -5*y = 4*g + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 + x + 0*x - 3*x + (2*x**2 - 2*x**2 + x**2)*(-2 + 2 - 2) to the form k*x**2 + n*x + o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {b: 1, a: 4, n: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 2*a + 2*a + (2*a**3 - 5*a**3 + 2*a**3)*(3*a - 3*a + 2*a) - 9331*a + 9331*a - 905*a**4 to g*a**3 + o + j*a**4 + f*a + p*a**2 and give j.\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*(5 - 9). Is (-194)\/(-18) + l\/(-27) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 13. Suppose -4 = t - c. Solve 4 = -4*d, -2*s - t*d - 4 + 0 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(((-36)\/216*9)\/(456\/(-4)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-168))\/(206\/(-412)))\/((-360)\/126)?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 2. Let k(o) = -o + 1. Let u(x) = -3*k(x) - 4*w(x). Calculate u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - -0.46. Let q = 121.53 - -1.47. Let u = -128 + q. Which is the smallest value? (a) 0.3 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u - 72*u - 282542 = -5*o, -4*o - 4*u + 226056 = 0. What are the prime factors of o?\nAnswer: 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -300701 + 2?\nAnswer: -300677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5 + 5. Let w = 3 - q. Suppose -w*o = -3336 - 2614. What is o rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5077, 10145, 15211, 20275, 25337?\n\"Answer: -d**2 + 5071*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*c + 27 = -2*c, 0 = -5*u + 4*c + 58. Suppose u*y - 597 - 495 = 0. Let m = 96 - y. Calculate the remainder when m is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 479 + -1459\/3. Suppose 3*r - 6 = 9. Find the common denominator of a and (-43)\/(-2)*(-2)\/r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4696 + -0.452. Let r = l + -0.0976. Which is the second smallest value? (a) r (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/32*3)\/((-3)\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 45720*u - 22860*u - 22860*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 a when four letters picked without replacement from {d: 1, a: 4, g: 1, r: 2, f: 1, o: 11}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 2*b = 8*d + 44, 3*d + 2*b - 19 = 0. Solve -3*n + 0*n - d = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -60.49. Let z = 1.50999731 + j. Round z to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164112.08 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 297 + 359. Let h = 1671 + d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -9\/7, -2, -0.12, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 13*y + 78188. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -31*g**2 + 499*g + 121. Give w(11).\nAnswer: 1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231.945457 - -231.91. What is c rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6288518*m. Let l(g) = -6*g**2. What is l(p(u))?\nAnswer: -237272751817944*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*24.4215\nAnswer: -4.8843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4058 and 47267584?\nAnswer: 4058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.13 - 0.73. Which is the second smallest value? (a) 4 (b) m (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuueekceucukce. What is prob of sequence ecc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19870 and 0.4.\nAnswer: -7948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.9 plus -816767?\nAnswer: -816674.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254 + 84 + 841*r - 29 - 839*r to the form l + d*r and give l.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b - 6. Let t(o) = o. Let r(k) = -7*k - 13. Let j(x) = -r(x) + 2*t(x). Let l(z) = -13*g(z) - 6*j(z). Let h(a) = -10*a. What is l(h(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367009*o + 367009*o - 19*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 3)*(-3)\/(-4). Suppose 3 = -3*x + h*x. Solve 0 = v - 3 + x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14235\/27 - (-4)\/(-18) - 5. Let v = 529 - f. Calculate the greatest common factor of 371 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41978.\nAnswer: 2, 139, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 + 5*f - 2. Suppose -3*y = 3*d + 15, 3*d + 14 - 6 = 4*y. What is the tens digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 1 + (-22)\/2. Let q = -8 - r. Suppose -24 = -d + 5*i - 2, -4*d = 3*i + q. Solve d*m + j - 3*j = -2, -m - j - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 1945*o = -1944*o + 13, 5*o + 83 = -44*r + 40*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - ((sqrt(180) + (-3 + sqrt(180) - sqrt(180)))*4 + sqrt(180)))*2 + -1 + 1*sqrt(180) + 5)**2 + -5.\nAnswer: -2352*sqrt(5) + 9599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1355 = -4*k, 18*n + 2*k = 16*n - 560. Is n bigger than -280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.8 + -15.5. Let t = 6 + y. Let k = t - -0.7. Which is the nearest to k? (a) 2 (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2301 and -7218?\nAnswer: -16608618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + v - 11. Determine m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21105 + 21276. Calculate the greatest common factor of 27 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66933\/6633 + (-15 - 3)\/2\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 327, -1, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*v - 17*v + 203*v + 10*v**5 - 2*v**2 + 5*v**4 wrt v.\nAnswer: 600*v**2 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 26*w + 1. Let b(a) = -27*a. Let f(u) = 6*b(u) + 5*k(u). What is f(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(4)\/sqrt(2)*-4))\/(sqrt(144)\/sqrt(4) - (-1*sqrt(729) - sqrt(9) - sqrt(9))).\nAnswer: -sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 16 + 8. Suppose -5*v + 4*u + 6 = -0, -w*v = -4*u - 4. Suppose v*g - g = 41. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) 5 (b) 5\/3 (c) -194\/39 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.114 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a - 41*a + 341*a - 90*a + 289*a - a - 3*a + 3*a + (1 + 3 - 1)*(a + a - 5*a) to the form b*a + k and give b.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*z + 287 - 290 = 0, q = -2*z + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 26\/10)*-5. Suppose 0*l - l + a = 0. Let y(q) = -q**2 - 7*q + 6. Let t be y(-7). Solve -3*d + l = -i, 4*i = -d + t*d - 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2112 and 67\/1364?\nAnswer: 65472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 61452?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -30*(2 + 203\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2385*z**2 + z + 4. Let p(w) = -47*w**2. What is c(p(a))?\nAnswer: -5268465*a**4 - 47*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36408 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(15\/(-6))*-2. Let l be g\/2 - (-3 - -3). Suppose -3 = -l*n - 9. Put 1, -2, n in ascending order.\nAnswer: n, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(238)*-2)\/sqrt(7))\/(sqrt(242)*1).\nAnswer: -2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 19085*w**2 - 114645*w + 172035.\nAnswer: 5*(w - 3)**2*(w + 3823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226712179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -423446065264 + 10\nAnswer: -423446065254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*x - 504*x = -882043. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -147315?\nAnswer: -1472a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**5)\/((s*s*s**(-31)\/s)\/s))**(2\/125) assuming s is positive.\nAnswer: s**(74\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4*g + 3*g - 51 = 0, 3*i + 5*g - 13 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705 divided by 2.\nAnswer: -705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cececceeceee. Give prob of picking 1 c and 3 e.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 3 + 2 + 29 + -27 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*u**4 + 12*u**3 + 592?\nAnswer: -20*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -468*l - 430*l + 860*l - 2 - 3*l**2 - 9*l**2 as t*l**2 + f + m*l and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 28*b + 93. What is x(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + -49. Let i = 79 - 133. Let s = i - p. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7887 - -7887.2. Let h = 1 + -3. What is the second biggest value in -0.1, n, h, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 922?\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -385 or -402?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*g - 0*o - 24, -5*g + 42 = 4*o. Calculate the lowest common multiple of g and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7421 + 3712 + 3709 - a + 2*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 383?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 + 2 = 3*u, -3*i = 5*u + 20. Let h = 4 + i. Factor -h*r - 6*r**2 + 8*r - 8*r**2.\nAnswer: -2*r*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 987215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4 - 4 + 4*y. Let a(w) = -3*w**2 + 8*w - 8. Let x(t) = -t**2 + 3*t - 3. Let s(j) = 3*a(j) - 8*x(j). Determine s(c(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00556538138 to six decimal places.\nAnswer: 0.005565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/9? (a) 1\/4 (b) -1\/2 (c) -3\/7 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/(5*1\/(-30)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 467561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose 0 = -y*c - 2*c. Let r be (2\/(-4))\/((-3)\/6). What is the closest to 2 in -2\/9, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.3542901 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 17*t - 13*t - 1914, 5*a + 945 = 2*t. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3*t - 5 - 15 + 36 to the form c + b*t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**4 + 36*c**2 + 105?\nAnswer: -12*c**3 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 b, and 1 w when four letters picked without replacement from {y: 2, u: 1, b: 1, t: 2, w: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 6, 12, 20, 30, 42?\n\"Answer: j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 2*r + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8864 is divided by 2954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -32560000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.16555 and 29.253.\nAnswer: 29.41855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let w(x) = 62*x + 67*x + 68*x - 195*x. Let f(p) = -7*p. Let l(u) = -f(u) - w(u). Determine n(l(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26467 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4394*0.005.\nAnswer: -0.002197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2e59 (base 16) in base 13?\nAnswer: -4a4a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2903 + 5670. Suppose -5*a + i + f = 0, 2*i + 2 = i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1634 = -3*b, -u - 86 + 489 = -2*b. What is the highest common divisor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20)*-1.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 0 + 0 + (4*v + v - 3*v)*(-91*v**2 + 49*v**2 - 31*v**2).\nAnswer: -149*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*(sqrt(384) + (sqrt(384) - 2*sqrt(384)) + sqrt(384)) + sqrt(384))*1)\/(sqrt(108)*-4*6).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -673.6892 - -0.0817?\nAnswer: -673.6075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101111000001011011 - -1001?\nAnswer: 101101111000001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 16 = 4*k, -c = -4*k - 11. Let r(x) = 17*x**2 + c*x**2 - 21*x**2. Let d(w) be the first derivative of -2*w**2 - 2. Give d(r(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 1795498720 a multiple of 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 67 = 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*o + 375, -v + 81 = -4*o + 9*o. What is the remainder when 296 is divided by v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413310204 (base 5) to base 7.\nAnswer: -20300065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n - 103562 + 106637 = 0 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156965 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 - -203. Let a = o + -400. Put -5, 17, a, -2 in decreasing order.\nAnswer: 17, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*i**2 - 6911*d**3*i**2 + 5859*d**2*i**2 wrt d.\nAnswer: 60*d**2*i**2 - 41466*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, u: 1}. Give prob of picking 3 u and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/10 - 5 - (-790)\/(-100).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.388 + -16.088. What is the smallest value in -2\/5, -0.07, 0.05, l, -2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/13 - 28*l**2\/13 + 86*l\/13 - 60\/13.\nAnswer: 2*(l - 10)*(l - 3)*(l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 24770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**2. Let n(q) = -q**3 + 12*q**2 + 93*q + 3. Let y be n(13). Let s(c) = 16*c + 1043 - y. Give z(s(v)).\nAnswer: 3072*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = s + 47, -3*k + 93 = -0*k + 3*s. Suppose -140 + k = -6*c. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -404\/3, -3.\nAnswer: -404\/3, -3, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 118.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 + 397. Calculate the remainder when 56 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 3*u + 2*u)*(-1 + 2*u**2 + 1)*(956 - 1910 - 2*u + 948) in the form d*u**3 + z*u + m + c*u**4 + l*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 8) in base 16?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1001 = -8*d - 5*m, 5*d + 3*m - 1679 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*j**(-6) assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 1073*h**2 - 67648*h + 625. What is o(-57)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*p - 2 - 2 = 0, 4*k = -5*p + 4. Let o = -4 + k. Suppose h = o*g + 20, 5*h - h - g = 101. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 258.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/2)*i*i*i\/(i\/(i\/i**12)) assuming i is positive.\nAnswer: i**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1923 = -3*r + 924. Suppose -5*m = -1571 - r. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -191*c + 184. Let s be m(1). Let r(j) = j**2 + 7*j - 3. Give r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*g**3 + 0 - 26\/11*g**2 + 2\/11*g**4 + 30\/11*g.\nAnswer: 2*g*(g - 5)*(g - 1)*(g + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19006671?\nAnswer: 3, 23, 275459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.8873 and 0.06.\nAnswer: 3.293238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -32. Let a = t + 105. Suppose -a = -3*o - o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 10. Suppose d = 2*d. Suppose 0 = -t - d + 2. Solve -10 = -3*i - t*h, 0 = -4*i - h + k - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21)\/(f\/f**(-11)))\/(f*(f**(3\/2)*f)\/f*f*f**(-1)) assuming f is positive.\nAnswer: f**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {m: 2, g: 2, t: 1, d: 2, x: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 8*w**2 - 3 - w**3 + 15*w**2 + 0. Let l be p(7). Suppose l*q - 23 = 29. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 9*t**2 - 17*t - 12. Give h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t + 1 + 2440*t**2 - 2449*t**2 + 8*t**3 - 1. Suppose 0 = 2*l - 2 + 14. Let k(g) = 7*g**3 - 8*g**2 + 6*g. Give l*o(n) + 7*k(n).\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271171162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 30\/(-26) - 129365310\/(-26). Let z(j) = -2443897*j + 1. Let g be z(-4). Let f = g - i. Round f to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2981075 and 1100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 + -58 - (10 + -36 + 7)) + -57?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63\/2 - -34. Which is the second biggest value? (a) -3 (b) 0.1 (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - 10ac4?\nAnswer: -10ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 28 = 0. Let x = -13 - -25. Let q = y - x. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-0.07.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10366, 10359, 10348, 10333?\n\"Answer: -2*j**2 - j + 10369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 5947*s**3 - 12*s.\nAnswer: -5947*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, b: 2, d: 2, n: 1, i: 1}. What is prob of sequence dzbb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -73304 times 0.066?\nAnswer: -4838.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-8 - 32)\/4*(-636)\/(0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let x(p) = p**2. Let v(r) = -3*t(r) + 4*x(r). Let n(u) be the second derivative of -u**4\/4 - u. Calculate n(v(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 2 - 8 - 1.\nAnswer: 13*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/30 - 5*a**4\/24 - a**3\/3 + 339*a**2. Let b be (-26)\/10 + (-4)\/10. Give f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + i + 29 = 13, -5*x + 77 = -2*i. Suppose -2*o + 6*o - 56 = 0. Suppose -o = -5*g + 16. Calculate the remainder when x is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 3*b - 36*b + 8*b.\nAnswer: -2*b**2 - 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.2 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185199, -185201, -185205, -185211, -185219?\n\"Answer: -z**2 + z - 185199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - 6) + 79 + -59?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9819 take away -0.4?\nAnswer: 9819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y. Let g(i) = 8*i**2 - 4*i + 3. Let l be g(-12). Let u(j) = -1203 - 3*j + l. Determine u(o(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198974 is divided by 6857?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 11*o + 35. Let q be z(6). Calculate the remainder when 54 is divided by 1\/((-12)\/42)*8\/q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12193 + -12191. What is the nearest to 18.9 in b, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5513 (base 15) to base 11\nAnswer: 125a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, g: 1, m: 5}. Give prob of sequence mjg.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4528545*l**4 + 2*l**3 + 46465*l - 25?\nAnswer: 54342540*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(8*13\/(-208)) and (-50)\/36*(1 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-20 - -18)) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2 (c) -0.144 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -0.2, -9\/5, 23, 0.2 in descending order.\nAnswer: 23, 8\/5, 0.2, -0.2, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*a**2 + 2\/5 - 2\/5*a**3 + 2\/5*a.\nAnswer: -2*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65652506 to the power of 1\/2, to the nearest integer?\nAnswer: 8103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 1 - 19. Suppose z - v - 5 = 0, z + 4*v - 9 = j. Solve -5*w + 16 = -2*r, -4*w + 3 = -z*w - 3*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 7932 = -1782. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15*20\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11425275 and 98880.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (31 + 17) - -27.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2115*l**2 + 2*l - 7*l**3 + 2115*l**2)*(-1 + 6 - 3) in the form w*l + q + z*l**2 + n*l**3 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253483066.\nAnswer: 2, 11, 17, 29, 115571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 4*u**2 + 4*u - 6. Let s = 7 - 3. Suppose 3*w = s*w - 2. Calculate the lowest common multiple of d(4) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/5)*h**(3\/7)*h*h*h**(2\/49)*h*h*h*h**7*h assuming h is positive.\nAnswer: h**(3349\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2179 or -2134?\nAnswer: -2134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 5*v**2 + 665*v + 3185.\nAnswer: -5*(v - 13)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 86 - 8 = 3*b, 0 = -2*b - 4. Let v = a + 91. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + 10*g - 10. Let m be l(7). Let q = m - 3. What is the least common multiple of q and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49945, 49948, 49939, 49912, 49861?\nAnswer: 49780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/23))**17*y**(33\/2)\/(y\/(y\/y**32)) assuming y is positive.\nAnswer: y**(-645\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17530 + 17532. Which is bigger: c or 6536?\nAnswer: 6536","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158390.82 - -2722.82. Let y = b - -155666.70291. Let q = y + 1.3. Round q to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p. Let k(u) = -6*u - 10533. Calculate l(k(c)).\nAnswer: 96*c + 168528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 896 and 8.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -9 - -40) + (-2 - -6) + 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -15*t + 115 + 130 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t - 629 - 363 = 3*t. Solve 2*c = -8, 3*k - 60*c = -64*c - t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00165547687 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0, 0.4 in ascending order.\nAnswer: -1\/9, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782128 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.31 - 3.159. Let g = p + 0.349. What is the smallest value in -2, -18, g?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((2\/(-30))\/1)\/(40\/1755) and -59\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 1.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -24, -1318.\nAnswer: -1318, -24, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503 divided by 87628.\nAnswer: -503\/87628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(325) - (3 + sqrt(325))*3) - (sqrt(130)\/sqrt(10) + 2 - (sqrt(325) + -3 + sqrt(325))**2)) + -5.\nAnswer: -71*sqrt(13) + 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1700) + -1*sqrt(1700)*2)*4 + 3)**2.\nAnswer: -1840*sqrt(17) + 27729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}