diff --git "a/data/dm_maths/full_data_1/2219_11255.jsonl" "b/data/dm_maths/full_data_1/2219_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2219_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 7.51893972 + 15.9.\nAnswer: 23.41893972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m - 2861. Let r be o(126). Solve -7*p + r = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkkuukakakkkukuaku. Give prob of sequence uu.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374 a factor of 388995145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - -10) + (-4)\/(-2). Let v(d) = 3*d**2 - d + 1. Let k be v(x). Solve 2*c - k = -4*m + 17, -15 = -3*m + 2*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose 5*l + p*u - 4 = -3*u, -2*u = 4. Let m(c) = -4*c**2 - 3*c + 2. Let y(z) = z**2 + z - 1. Determine l*m(r) + 7*y(r).\nAnswer: -r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114435717?\nAnswer: 3, 11, 241, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) - (sqrt(363) - (0 + -2*sqrt(363)))) - sqrt(363))*-5)**2.\nAnswer: 36300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38517 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -1.709\nAnswer: -0.01709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 4*a - 2*a)*(-2 - 1 + 1)*(-39*a - 24*a - 13*a) to the form h*a + r*a**2 + s and give r.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a factor of 10393372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*o + 738, o + 6 = 4*o. Is 38 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8060740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 303031560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*7\/(-35)*-5. Suppose -w + 23 - 2 = 0. What is the second derivative of -w*i**2 + n + 61*i - 57*i - 1 wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*o**4 + 520*o**3 - 99*o**2 + 1787958 wrt o.\nAnswer: -280*o**3 + 1560*o**2 - 198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -605 + 954. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 2 - 372*l**2 + 2 + 77*l.\nAnswer: -372*l**2 + 77*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (26 + -5 + (-1 - 11) + 5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-2))\/((-10)\/30). Calculate the remainder when 8\/12 + (-84)\/i is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let f be n(3). Let p = -3 - f. Let v(q) = 5*q**2 + p*q**2 - 3*q**2. Let w(d) = 2*d**2. Give w(v(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3, e: 6, d: 4}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*j - j. Solve 0*f**j + f**5 - f**3 + 0*f**3 + f**2 - f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -7*a**5\/60 + 19*a**4\/12 + 2*a**3 - 2*a**2 - 33. Let n be x(6). Is -14 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4409248, -8818494, -13227738, -17636980, -22046220, -26455458?\nAnswer: -30864694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 17*f**2 - 22*f - 13. Calculate the remainder when k(-16) is divided by 93\/(-155) + (-286)\/(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023267 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -58*z**2 + 698*z - 22. Let i be x(12). Solve t + i*t = o - 3, t - 2*o + 11 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-511397.\nAnswer: -511397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (704\/16)\/4 - 68*(65\/(-50))\/(-13)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 1. Suppose -n - 4*n = 5. Let q be x(n). Solve q = u - 3*c, -4*c = -4*u + 2*u + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -19, 14, 61, 122, 197?\n\"Answer: 7*b**2 - 2*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 9*k**4 + 12*k**4)*(25 + 33 - 14).\nAnswer: 924*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247454768?\nAnswer: 2, 11, 383, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 18. Let j(p) = p**2 + 6*p + 7. What is j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 60. Calculate the smallest common multiple of q(-30) and 852.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -532, -807, -1082, -1357?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -158*z**3 - 7*z**2 - 75*z - 323. What are the prime factors of c(-5)?\nAnswer: 19, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 120, 401, 950, 1857, 3212?\nAnswer: 5105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3458.767 or -3\/10?\nAnswer: -3458.767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6976, -4, 51 in descending order.\nAnswer: 6976, 51, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 21*y**2 - 129*y - 24. What is o(15)?\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 21*p**2 + p - 21. Let h be g(21). Is -16 + 50 + (h - 3\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 211612 to the nearest 1000.\nAnswer: 212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965 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 q(k) = -49*k + 2. Let c be q(-1). Suppose -90 = 5*w - 4*s, w + 3*w = -s - c. Sort w, -1, 2.\nAnswer: w, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18545*w - 18226*w + 8215*w - 8210*w + 10.\nAnswer: -36766*w + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*g**2 + (5*g - g - 2*g)*(-1 + 2*g + 1) + (42*g + 28*g + 40*g)*(-1 - 1 + 4)*(-3*g + 2*g + 3*g).\nAnswer: 446*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 17*n + 82. Let q be o(-21). Let r(d) = -2*d. Let z be r(q). Solve -3*b - 10 = -z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124\/434 - (24\/(-14))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2041135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {e: 1, q: 1, c: 1, s: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/(-2574)*2\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -473, -958, -1443, -1928, -2413, -2898?\n\"Answer: -485*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, -4, -0.02, -2, -2\/13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 97?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 2. Let m be q(-2). Let f(s) = 1 - s**m - 9*s - 7 - 1. Let w(x) = x**2 + 8*x + 6. Let d = 11 - 17. Calculate d*f(v) - 7*w(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - 2200?\nAnswer: -3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, 221, 372, 523?\n\"Answer: 151*z - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269212447 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 508 + -503. Find the third derivative of a**4 + 15*a**2 - 3*a**o - 2*a**2 + 9*a**2 + 37*a**5 wrt a.\nAnswer: 2040*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 21. Let s(y) = -2*y + 42. Let v(t) = t**2 + 122*t + 2935. Let d be v(-89). Determine d*s(u) + 5*c(u).\nAnswer: -u + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25960 is divided by 12838?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2+0.62982\nAnswer: -1.37018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 8*g - 286. Let z(m) = 9*m - 286. Let s(n) = -4*l(n) + 3*z(n). Differentiate s(q) with respect to q.\nAnswer: -12*q**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 124 = 123. What is the remainder when 1971\/36 - 1\/(-4) is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 + 2*a - 6. Let h be n(0). What are the prime factors of -571*(-4 + (12\/(-3) - h))?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/35)\/(3\/(-42)). Let j = -3.6 - -5. What is the third smallest value in j, -0.2, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000441599303 to seven decimal places.\nAnswer: 0.0000442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -33587*y**2 - 56*y - 14. Let h(v) = -23298183*v**2 - 38844*v - 9711. Determine -9711*f(b) + 14*h(b).\nAnswer: -11205*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1010, -11, 1.77, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m - 28. Let y = m - -31. Suppose -3 = r, 2*u = u + y*r + 812. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {b: 2, p: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7510957?\nAnswer: 17, 181, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3943047 is divided by 2094.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/5 - 966*f + 201392\/5 = 0.\nAnswer: -2456, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -73956 divided by 4?\nAnswer: -18489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 80. Suppose 0*a = 3*a - g. What is the highest common divisor of a and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 7*h**2 + 4*h + 4. Let z be y(7). Is 1449\/(-12)*z\/(-12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-21) + (-136)\/(-56). Suppose 0 = 2*f - 3*f + 2. Factor 4*v - 8*v**2 - 16*v**w - 2*v**2 - 2*v**f.\nAnswer: -4*v*(v + 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 12. Suppose r*g - 3008 = -896. Suppose 7*t - 3*t = g. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.35 rounded to the nearest integer?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5746122, 5746115, 5746102, 5746083?\n\"Answer: -3*t**2 + 2*t + 5746123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Suppose -4*q + 16 + 8 = 0. Let y be (9\/q)\/(2\/(-4)). Let g be v(y). Put -0.06, g, 1\/4 in descending order.\nAnswer: g, 1\/4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119414?\nAnswer: 2, 59707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18547*f**3 + 39849 wrt f.\nAnswer: -55641*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) + 1)**2.\nAnswer: -345 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - 235c?\nAnswer: -233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + c**3 - c**5 + 0*c**3 + (-4*c**4 + 0*c**4 + 0*c**4)*(-3*c + 0*c + 4*c).\nAnswer: -7*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 3*o - o + (-2 + 3 + 0)*(-2*o - 3*o + 4*o) - 11*o + 23*o - 7*o + o - o + 2*o to m + y*o and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/175)\/((-4)\/60) + 27\/3?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 3. Let g be i(-5). Suppose g*l - 16 + 6 = 0. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5863.991 to the nearest integer.\nAnswer: 5864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 1227*s**2 + 363946*s - 2008. Determine g(-502).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371.991 rounded to the nearest integer?\nAnswer: 4372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 40905*t**2 + 531933*t + 17. Calculate z(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -2.4. Suppose -4*i + o = 9, -14*i = -15*i - o - 6. Which is the nearest to 1? (a) 11 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12499 = 751*w - 10558 - 22754 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940309 is divided by 5190?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993644 is divided by 247?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104291323.\nAnswer: 19, 199, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4474000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-498)\/(-1660)*(-10)\/24*(-24)\/(-10)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 13. Suppose 2*r + 3*m = 6, -4*r + 19 = -4*m - 13. Calculate the remainder when 115 is divided by j(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, 6047 in decreasing order.\nAnswer: 6047, 26, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -76*m - 3. Let w(n) = 7373*n + 292. Let k be ((-1248)\/(-52) - 23)*(0 + -1)*3. Calculate k*w(u) - 292*g(u).\nAnswer: 73*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -9393008.\nAnswer: 9393008.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 518811000 to the nearest 1000000.\nAnswer: 519000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -10. Find the second derivative of 41 - 7*h - 41 - c*h**2 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 24. Let q be x(-13). Sort q, 5, 2.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 114059*y**2 + 2*y. Let q(h) = 51*h**2. Determine r(q(s)).\nAnswer: 296667459*s**4 + 102*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 10:17 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 650 and 2860?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - u**3 - 2*u**3)*(15 - 12 + 15 + (2 + 1 - 2)*(4 + 1 - 4) + 7 - 2 - 2) as m*u + s*u**2 + p + v*u**3 and give v.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -858 + 1464. Is 42 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + l - 3*l, -l = 4*b + 1. Suppose -2*s + b*s = 8. Let j = s - -7. Let d(w) = w**2 - 4*w + 2. Determine d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 31 = -2*y + 49, 0 = 6*g + 3*y - 33 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*p - 9*p + 7 + 36*p**3 - 25*p**3 wrt p?\nAnswer: 33*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 15, -1 in increasing order.\nAnswer: -1, 4, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15.66225 + 108.27\nAnswer: 123.93225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -388\/1827 - 2\/203. Let l be (-8)\/(-10) + (-3)\/(-15). What is the smallest value in -1, h, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*d**2 + 27107*d + 708*d**2 - 27107*d.\nAnswer: 1025*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/(-94)*4\/(-85)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -754.9 - -333.9. Put v, -2, -2\/7 in descending order.\nAnswer: -2\/7, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 14872114?\nAnswer: 14872114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c + 3 = 0. Is 7 a factor of (1*c)\/((-3)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -13, -25, -43?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9*4)\/((-34)\/153)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 299*v**4 + 7*v**2 - 71*v. Let o(i) = -100*i**4 - 2*i**2 + 24*i. Let q(l) = -2*h(l) - 7*o(l). Find the second derivative of q(t) wrt t.\nAnswer: 1224*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 4*o**2 - o - 3. Let d be q(3). Suppose -2*l - 6*x + d*x + 2 = 0, -5*x = 3*l - 4. Put -5, 2, l in ascending order.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 447065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetkeke. Give prob of picking 1 e and 1 t.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p\/p**(-1\/4))\/p*p)**(-30))**42 assuming p is positive.\nAnswer: p**(-4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n**2\/5 + 50*n + 42\/5 = 0.\nAnswer: -1\/6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(99)\/(sqrt(45)\/sqrt(5)) + (sqrt(396)*-1 - sqrt(396)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(17)*-3)**2 + 4*sqrt(833) + ((-3 + 3*sqrt(68) - sqrt(68))**2 + sqrt(68))*-1)*-6.\nAnswer: -2904 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4262, 4267, 4272?\nAnswer: 4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236 - -235.5. What is the third biggest value in x, -5, -6, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 5*y + 4*y + (-5 + 3 - 2)*(0*y + 3*y - 6*y) to the form v*y + a and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**6\/120 + a**5\/20 + a**4\/12 - a**2\/2 + 1. Let i(j) be the second derivative of t(j). Does 6 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -77*y**2 - 6*y - 8. Let p(h) = 77*h**2 + 6*h + 9. Let t(z) = -4*i(z) - 3*p(z). Is t(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = -13. Let w be ((-4)\/o)\/((-1)\/(-3)). Suppose 0 = -h - 5*s - 7, 2*h - 5*s = 2 - 1. Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (-1*sqrt(133)*2 - sqrt(133)))\/((1*sqrt(70))\/sqrt(10)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, u: 6, w: 2, n: 2, h: 2, d: 1}. What is prob of sequence dwhh?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4520728 to 2 decimal places.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317295341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1746 + 879 + 4*u**3 + 867 - 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 27*z**2 + 37*z - 33. Suppose -320 = y - 21*y. Calculate the remainder when b(26) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2. Let r(l) = -l**2 - l**2 - 4*l**2 + 5*l**2. Calculate i(r(g)).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/x**(-8))\/x)))\/(x**(10\/7)*x))**(2\/61)*(x**0)**(27\/7)*x**(-4\/7)\/((x\/(x**(2\/17)*x*x))\/x) assuming x is positive.\nAnswer: x**(12550\/7259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 + 0*l**2 - l**2 - 2*l**2 + 2*l**2 + 3*l**2 + (-4*l + 2*l + 3*l)*(2 - 2 + l) + (-1 + l + 1)*(-48 + 48 - 12*l) to v*l**2 + w + c*l and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*d**2 + 38 - 17*d**2 - 1 wrt d.\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 93\/2*a**2 - 70*a - 6. What is the derivative of s(j) wrt j?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/15 (c) 8 (d) -19 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01304979 - 8.9723.\nAnswer: -8.98534979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64.7038449 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0, 266 in ascending order.\nAnswer: 0, 1, 3, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27688086 a multiple of 2755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(95) + -1*sqrt(95)*2 + sqrt(95) - sqrt(95) - sqrt(95))\/(sqrt(320)*-2).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -99529 - 8?\nAnswer: -99536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75684, 151339, 226956, 302517, 378004, 453399, 528684?\n\"Answer: -3*s**3 - s**2 + 75679*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 4:02 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22*19\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1932788.09 to the nearest 10000.\nAnswer: 1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 9. Let o = d + -5. Solve -o*u + y = 7 + 5, 0 = -u + 5*y + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 27*a - 56. What is the smallest common multiple of f(-29) and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25032309 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13103*h. Let g(i) = 2*i**2. Give l(g(w)).\nAnswer: -26206*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)\/t*t\/t**(1\/5)*(t**(-1))**16)**(-3\/31) assuming t is positive.\nAnswer: t**(213\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 20, -0.4, 35, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 0)*(-2)\/5. Let s(x) = 62*x**3 + 2*x**2 - 4*x + 3. Is s(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebneuu. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -38, 5 in ascending order.\nAnswer: -38, -11, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*h - 11. Let w = h + -18. What is the hundreds digit of 133 + 3*(w - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2. Let x(y) = 2*y**2 + 620*y - 1. Determine x(p(g)).\nAnswer: 50*g**4 - 3100*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2600\/39)\/25*3\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1073a - 1074?\nAnswer: -11803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -148.88*303\nAnswer: -45110.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16663.402 + 16627. Let r = 3.7 + -3.602. Let n = r - i. What is n rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 - 23*p - 6. Let j be o(-10). Let x = 103 + j. Suppose n = 2*n - x. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 12)\/200*(-4)\/(-14)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 41 + -1 + -2 + 1. Let y = -4 + 30. Suppose i - 2*i + y = 0. What is the highest common divisor of i and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723975 divided by 1723975?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p. Let k(u) = -8*u. What is -4*k(j) + 3*n(j)?\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 296*x - 300*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.011.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(-5)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and -0.5102.\nAnswer: -0.4502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37\/5 - 1\/5*f**3 - 7*f**2 + 73\/5*f = 0 for f.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226263 minus 2?\nAnswer: 226261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 16416*u**2 - 65727*u - 82140.\nAnswer: 3*(u - 5)*(u + 1)*(u + 5476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187812 and 7326.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1008)*-3 + -4 - (sqrt(1008) + 2 + 3)))**2.\nAnswer: 960*sqrt(7) + 16228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 169, 185, 221, 283, 377, 509, 685?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9386 + -0.0614. Let z = 325 - 325. What is the second smallest value in z, 4\/5, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b**3 + 545*b**2 - 3175*b + 760.\nAnswer: -5*(b - 19)*(b - 8)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39727387.\nAnswer: 7, 810763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/5 + 34*w\/5 - 168\/5 = 0. What is w?\nAnswer: -21, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3220 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(15*t**2 + 5*t**2 + 9*t**2) + (-3*t + 1 - 1)*(-2*t**2 - 2*t**2 + 3*t**2).\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/17)\/x*x\/(x**(-2\/9)*x)*x*x*x*x**2\/(x**0*x) assuming x is positive.\nAnswer: x**(511\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (-12 + 156)\/8)*(-11)\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*16\/(-132)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43d6 (base 15) to base 6.\nAnswer: 150320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 4672*r**2 - 4665*r**2 - 105 to j + t*r**2 + k*r and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 >= -288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.128 - 13.439.\nAnswer: -13.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {h: 1, e: 1, k: 1, j: 1, u: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65772\/510 - 94299\/731?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -6, -5, 2150, 4 in decreasing order.\nAnswer: 2150, 4, 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -23*d**4\/6 + 12*d**2 - 46*d - 2. Differentiate u(i) wrt i.\nAnswer: -92*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345 + -193. Let o = 152.0000079 - f. Round o to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2 - 390*w - 388 = 0.\nAnswer: -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -37, -53, -67, -79, -89, -97?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (1 + sqrt(162)))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 26. Let w(k) = -k**2 + k. Let z(x) = -x**3 - x - 4. Let v(f) = 6*w(f) + z(f). What is the units digit of v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -96, 1\/2, -2, 0.3, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t + 361*t + 300*t + 49856 = 103*t for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 27. Let q be t(-12). Suppose q*y - y = 6. Let b = -23 + 23.11. Sort y, 4, b in ascending order.\nAnswer: b, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 + 432. Suppose 12*l - 13*l = -r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8))\/(15\/(-370)). Suppose 3*m - 91 = -g. Calculate the lowest common multiple of 10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:35 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 107*f + 614. Let i be s(-47). Let z(o) be the first derivative of o**4\/4 - 2*o**3\/3 - 3*o**2 + 6*o + 1. Give z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/263 in 0.18, 10.04, 3\/7?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1118*x. Let b(p) = 10461*p. Determine b(y(z)).\nAnswer: 11695398*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233 by 233.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u - 3*a, 8 = -4*u - 4*a. What is the tens digit of u\/(9\/2)*33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 29*p**2\/2 + 2*p + 2689. What is q(5)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -53*c - 39. Let k be j(-4). What is k rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 198.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let r = q - 0.26. Let y = 0.06 + r. Which is the smallest value? (a) -2\/9 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((6 + -1)*4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.6. Suppose -31*l - 91*l = 106 + 16. What is the nearest to 0 in i, 3, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -561 to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed + -382?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(10\/(6*-255)). Calculate the highest common divisor of k and 1989.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18891, 18895, 18897, 18897, 18895, 18891, 18885?\n\"Answer: -j**2 + 7*j + 18885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-4)*q*q)**(-14\/11))**(-2\/95))**(-2\/45))**(1\/5) assuming q is positive.\nAnswer: q**(112\/235125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 48. Let x(f) = 4*f**2 + f + 1. Calculate x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 3 - 8\/8. Let f(p) = -5*p + 3. Let i be f(-5). Let j be (-4 - i)\/(z\/6). Calculate the greatest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.8. Let t = 0.32 - 0.22. Which is the closest to t? (a) 1 (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*y - 14 + 10, -4*y - 116 = -5*k. Solve 0 = -3*c - 15, i - 6*i - 5*c - k = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 825 - 775. What is the nearest to -1\/4 in 1\/3, d, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2267838621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6208.\nAnswer: 5\/6208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 - 7*v**2 + 5*v + 10. Suppose 5*x = -4*a + 3, 17*a - 5*x = 15*a + 39. Let h(r) = 4*r**3 + 6*r**2 - 4*r - 9. Determine a*h(z) + 6*u(z).\nAnswer: -2*z**3 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*y - 1664, 731 = -5*y - a + 2389. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-921)\/(-12) - (-2)\/8. Suppose -2*g = 2*g - 44. What is the highest common divisor of g and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001007 to 7 dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*f - 29. Let t be f\/6 - 14\/(-42). Solve -t = -2*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10552000 rounded to the nearest 100000?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -26\/51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372700*h**5 - 3*h**4 - 6*h**2 + 7067422*h wrt h?\nAnswer: 7454000*h**3 - 36*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:12 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380995576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((4 - 3) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76.73 + 29.73. Put -1, -1\/5, 0.5, x in decreasing order.\nAnswer: 0.5, -1\/5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30335 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -550, -549, -548?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 28781305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 + 16*p**3\/5 - 2*p**2\/5 - 16*p\/5.\nAnswer: 2*p*(p - 1)*(p + 1)*(p + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-26) - (1551\/143 - 11). Solve 0 = -3*z - n - 7, -n = -p*n + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*n + 119 - 146 = 0, k + 3*n = -22. Let j(p) = 69*p - 2. Determine j(k).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -19, -1, -5.\nAnswer: -19, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 73*u**2 - 161*u - 620. What is f(-75)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 25 = 2*m, -6*m = -4*m - 2*l + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2348122, -2347963, -2347804, -2347645, -2347486, -2347327?\nAnswer: -2347168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(1*sqrt(152) - sqrt(152)) - 6*sqrt(152)*2))\/((-5*sqrt(80)*2)\/(-5*2*sqrt(10))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -11767?\nAnswer: -11767.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.4 (b) -5 (c) 0.5 (d) 686\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knbzmkmbkrrnbrbrrbnb. What is prob of sequence kk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 32*w + 12. Let p be n(-6). Solve 5*l + 0 + 20 = p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8041843 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3794 divided by 542?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -1\/8 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -291, -665, -1191, -1869, -2699, -3681?\nAnswer: -4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*x - 3221 + 3071 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Let n = 2 - t. Let j = n + -3. Which is the second smallest value? (a) j (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 - -93. Differentiate -8*r**3 - 9*r**o + 35 - 2 - 5 wrt r.\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.59 - 9.49. Which is the nearest to 74? (a) 4 (b) -4 (c) 3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 21505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 21*p - 26*p - 1 - 21*p + 10*p to the form o + w*p and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 1:51 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q - 5*q**3 - 4*q**2 + 5*q**3 - 6 + q**3. Let o be f(5). Let r = 1861 - 1829. What is the greatest common factor of o and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41637618649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 5408?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {r: 15, c: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-2.22.\nAnswer: 0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -59?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 2*c + 3. Let z be o(2). Let g = 9 + -10. Let a = g + 2. Solve -z - a = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 478764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**4 + 4*i**4 + 55*i**2 - 74*i**2 + 5*i**4 - 19*i**4 - 25*i**4 + (0 + 1 + 0)*(6*i**4 - 2*i**4 - 3*i**4).\nAnswer: -40*i**4 - 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 150\/45*3\/25\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 8) to base 13.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 - n**2 - 2*n + 1. Let p be w(-2). Let d = p + 3. Calculate the common denominator of (-8)\/4 - 162\/d and 115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfbk when four letters picked without replacement from {k: 1, f: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1034037\/12028 + -16612775873\/243819588. Let s = q + -2\/6757. Find the common denominator of -8\/33 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 2.8. Suppose 0 = 3*g - 4*z - 7, -2*g + 0 = 2*z - 14. Let h be (-1 - -2) + (-1)\/(-1). Which is the closest to -2? (a) g (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = 145*v + 532 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7178147.83993 - -7178094. Let s = -56.139931 - l. Let r = s + 2.3. Round r to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(3 - 93\/30). Let z be 1\/(-3) - (-3)\/9. Suppose -5*n + z*n = -h. What is the remainder when 5 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) -2\/7 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.1 and 3.\nAnswer: -30.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0586 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + 23. Let l(d) = -d**3 + 9*d**2 + 4*d - 16. Let z = -62 - -71. Calculate the remainder when a is divided by l(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122899.3399968 + 122899. Let j = s - -0.34. What is j rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 plus 0.573738785?\nAnswer: 0.383738785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 85. Let b(g) = 5 + 8*g**2 + 7*g - o + 12*g**2 - 21*g**2. What is b(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*m = -653 - 1009 + 561 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, -244, -1173, -3074, -6271?\n\"Answer: -54*n**3 + 97*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -195, -218, -261, -330, -431, -570?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.74 + 0.2. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7191*r + 855649. Determine m(119).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9671*q**2 + 8654*q**2 - 18314*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 3. Let z = 9 + u. Let q = 4 - z. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8 + 5 - 2*h - 2 + 6*h**2 - 2 - 10. Let g = 15 - 16. What is w(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 6*d - 1. Let o be k(-5). Let b(v) = v**2 - 2*v - 2. Let t be b(o). Solve -f + t = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(2 - 2 + 11)*(1958 - 976 - 24*x - 976) to a + v*x and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*t + 17, -6*j + 2*j + 3*t + 43 = 0. Let k(c) = c**2 + 2*c. Let h be k(5). Let z = -25 + h. Calculate the highest common divisor of j and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743*m**3 + 2*m**2 - 3*m**2 + m**2.\nAnswer: 743*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/4, -11\/3, 0.08, 20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let i be o(-5). Let h be i\/4*(-80)\/15. Let u be (-6)\/h - (-2 - -2). Is u at least as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142 and 53.\nAnswer: -7526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-1)*((-808)\/(-4848))\/((-2)\/4)*-6.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6031 (base 8) in base 9?\nAnswer: -4221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**2 - 50*i**2 + 3 - 4*i**4 - 2*i**3 + 32*i**2 + i to the form f*i + z*i**3 + g + n*i**4 + b*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-68)\/(-16) + 18\/24. Solve h*t = 4*n + 4, -3*n - 12 = n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 24. Let t = 23 + -9. Let b = t + i. What is the lowest common multiple of b and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2631644)\/(-18))\/(((9 - 4) + -7)\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 187.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g**3 + g**4 - 56*g**3 + 32*g**3 + 6*g - 5*g**2 = 0. Calculate g.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -168*8*(-2)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {d: 3, h: 5, n: 1, f: 3}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (17 - 32) + 0 + -4 - -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1538801.5 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*p**3 - 320 + 166 + 155.\nAnswer: -47*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1862, -3808, -5786, -7808, -9886, -12032?\nAnswer: -14258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13798*s + 79*s**2 - 13798*s - 126.\nAnswer: 79*s**2 - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-185)\/(-45) + 1\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14076 by 14076.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.4. Let c = 2.19 - 2.4. Let o = -0.09 + c. Sort s, -3, o.\nAnswer: -3, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 1 e when three letters picked without replacement from {s: 3, e: 7, w: 1, u: 1}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z + 286329 - 283099 = 0 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*r - 3. Let q be -2 + 0 - r\/1. Solve q = -2*x - 5 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 5:06 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 9. Solve -6*f = -3*f + z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p + 3. Let g(k) = -k + 1. Let w(d) = -d**2 - 6*d + 1. Let j be w(-5). Let a(s) = j*g(s) - 2*n(s). What is the second derivative of a(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99110591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866\/7 bigger than 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13006 - 12526 = -24*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3173811, -3173742, -3173673, -3173604, -3173535?\nAnswer: -3173466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -9*m - 12. Suppose 390*w - 44 = 401*w. Which is the second smallest value? (a) -5 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*r - 16 + 6, -n - 20 = -4*r. Suppose -2*u + u = n. Let f(o) = u*o + o + 4 + 4*o + o**2. Calculate f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/6)\/6 + 3\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -4\/19, -28, -3 in decreasing order.\nAnswer: -4\/19, -3\/2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b)**5*(b\/b**(1\/5))\/(((b**2\/b*b)\/b)\/b) assuming b is positive.\nAnswer: b**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 23. Let h be n(-11). Suppose u - h = -u. What is u rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6263574 + 0?\nAnswer: 6263574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i - 16. Let d = -11 - i. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014220 rounded to the nearest ten thousand?\nAnswer: 4010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufoiof. What is prob of sequence iuf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*c + 5, 3*x - c + 1308 = 1299. Put x, -5, 3, -514 in decreasing order.\nAnswer: 3, x, -5, -514","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Suppose -u = 4*h - 32. Suppose 5*v = h + 3. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -9. Suppose -2*v = -5*m - 11, 4*v - 11 = -0*v - m. Let w be (3 - 4)\/v + 21\/9. Which is the second biggest value? (a) 5 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6762783613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2004\/8)\/3*2 - 0. Let p = -148 + o. Let s = p - 8. Let d(i) = -9*i - 13. Let r(z) = -5*z - 7. Give s*r(y) - 6*d(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -4 + 8 - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 425988.7 millilitres in litres?\nAnswer: 425.9887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/394436 or -1?\nAnswer: -1\/394436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*l + 8*l**5 - 26*l**5 - 40*l wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2548*f**5\/9 - 24584*f**4\/9 + 198908*f**3\/3 - 237704*f**2\/9 - 284176*f\/9 - 15904\/3 = 0.\nAnswer: -21, -2\/7, 1, 142\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8*m = 44, -5*r - 2*m + 9 + 30 - 8 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7667, -7668, -7669, -7670, -7671, -7672?\n\"Answer: -w - 7666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32989 - -32989.6. Sort b, -0.03, -1 in descending order.\nAnswer: b, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 199526?\nAnswer: -598578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {y: 2, g: 1, s: 2, w: 1, i: 1, r: 7}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - o + 7 + o - 2*o. Let f be n(-4). What is the closest to -2\/3 in f, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**3 - 494*q**2 + 432*q + 493. Determine t(-42).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/6)\/z**(3\/2))\/(z*z\/z**0)**20)**(-45) assuming z is positive.\nAnswer: z**1875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:22 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2\/47, -9\/8, 1, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from vkkv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 700871159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*k - k + 0*k)*(2 + 2*k**2 - 2) + 2*k**3 - 2*k**3 + 2*k**3 - 44*k**3 + 105*k**3 - 46*k**3)*(5 - 3 + 0) to w*k**2 + r + y*k**3 + a*k and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o - 12 = -43*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 - 1613850608.\nAnswer: -1613850547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*w + 3*w, -q - 2*w + 5 = 0. Let a be (q + 11)*(-48)\/(-792). Is a bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 41. Which is greater: q or -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21412 is divided by 623?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 17*h**2 - h - 10. Let n be t(-17). Let k(r) = -r**2 + 3*r + 28. Let m be k(n). What is d in m + 1\/4*d**2 + d = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijggjhljfjiiil. What is prob of picking 1 j and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1321650 and 48950?\nAnswer: 1321650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 763972 + -763974. Let k be (-1)\/(-1)*4\/(-10). What is the nearest to 0.1 in k, -28, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**3 + a**3 + 14*a**3 + 20*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-84)*(-99)\/(-165).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvxxfxvxvvxjjxvxx. What is prob of picking 1 f, 1 x, 1 v, and 1 j?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 608212245 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p)\/p**(2\/5))**40\/(p**(-6)\/p**(-1)*p**(-2\/5)\/p**(-6)) assuming p is positive.\nAnswer: p**(-449\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 99\/18)*4\/2. Solve -3*k - n*a + 3 = -0, -5*k = -4*a - 41 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = h + 13, -2*h + k - 6 = 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + -1 + (5 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118651397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a9 (base 11) in base 13?\nAnswer: -2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 11 = 79. Let t(x) = -6 - 9*x - 23*x**2 - 24*x**2 + 48*x**2. Let y(k) = -k**2 + 8*k + 5. What is h*t(s) + 7*y(s)?\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48303, 48319, 48361, 48441, 48571?\n\"Answer: 2*z**3 + z**2 - z + 48301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (15\/10 - 1)\/((-3)\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 - 1 - 5517\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6658 - 4768. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4139128 + 4138705 = 47*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/7 - 1 - 73\/(21462\/84). Let z(l) = l**3 + l**2 + l. Let x(k) = -4*k**3 - 3*k**2 - 2*k - 1. Calculate g*z(u) - x(u).\nAnswer: u**3 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 584301, 1168595, 1752883, 2337165, 2921441, 3505711?\n\"Answer: -3*m**2 + 584303*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (2 - 4)) + -1. Let r = t + 11. Let p = -66 + 71. Calculate the remainder when r is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*q = -18552, -2*j - q - 18536 = -0*j. Let w be -7537 - 5\/(5\/(-3)). Let a = w + j. Round a to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*o - 152585, 4*r = -25*o + 29*o + 122036. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155427591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 16*m - 37 = -1837 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 384865.488 rounded to the nearest 10?\nAnswer: 384870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000116798 to seven decimal places.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 - r - 1. Let q(x) = -6*x**3 + 10*x**2 + 30*x. Let s(t) = 5*k(t) + q(t). List the prime factors of s(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188677 - 189443.81. Let m = h + 770. Let x = m + -0.19. Which is the third biggest value? (a) -28 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-590)\/8496*-18*128\/(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:35 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 50*t - 654. Let o be x(13). Let k(g) = g - 9. Let q be k(7). Put o, -38, q in descending order.\nAnswer: q, o, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/13330 and -71\/2?\nAnswer: 13330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b**3 - 54*b**2 - 65*b - 377. Determine z(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(70\/(-15) + 4)*(5 + -6). Which is greater: 94\/117 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388.0037 + 386.24. Round q to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(-37)*o*(o\/(o\/o**(-1)))\/o*o*o*o*o**(-2\/11))**(2\/23) assuming o is positive.\nAnswer: o**(-694\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5138 + 962 = -46*t - 341*t + 39*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*sqrt(104)*-2*2)\/(sqrt(288) + sqrt(288)*-1*-3 + sqrt(288)))**2*4.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 10*x**2 - 10*x - 8. Let q be s(11). Let b(a) = q*a - 3*a + 12 + 2*a. Let f be b(-6). Which is greater: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - -1 - (-7 - (13 + (17 - 29)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.000034 + 18. Round k to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13405.19mm?\nAnswer: 1340.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**2 - 93*q**2 + 16*q**2 + 21*q**2 - 3*q**2.\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 12 = -6. Sort f, 3, 6, -2.\nAnswer: -2, f, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 357139538*b**2\/11 + 53452*b\/11 + 2\/11.\nAnswer: 2*(13363*b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62635.\nAnswer: 5, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 33180756*c + 66361496.\nAnswer: 4*(c - 8295187)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g**2 - 2*g - 46. Let w(j) = 2*j**3 + j + 51. Let q(k) = -4*l(k) - 3*w(k). Let v(m) = -m**3 - 2*m**2 + 3*m + 16. What is 3*q(s) - 5*v(s)?\nAnswer: -s**3 - 2*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by 1767?\nAnswer: 164\/1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/(-49) + (-84)\/35*(-15)\/(-9)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1028 - -1027.95. Let t = -23 + 23.5. What is the third smallest value in -4, s, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/(sqrt(27)\/sqrt(3)))\/(3*sqrt(180)))**2 + 4.\nAnswer: 1301\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 172.2219 millilitres?\nAnswer: 0.1722219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*t**3 - 1807*t + 1807*t + (-4 + 0 + 2)*(t + 2*t**3 + 10 - 10).\nAnswer: 22*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 139. Let l be 3\/(-30)*(-8)\/(0 - 2). Let y = 1 + 0. What is the closest to t in -2, l, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002047 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -46*d + 34. Let j(v) = -45*v + 33. Let b(h) = 5*j(h) - 6*z(h). Find the first derivative of b(c) wrt c.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100110 + 11110000000?\nAnswer: 1110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose -3*c + 5*x = -10, q = 2*c - c + 2*x + 4. Sort c, -1, 5 in decreasing order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 + 2 = 0. Let m(l) = -3*l**2 - l - 7*l + d*l**2 + 4 + 2. What is m(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*n - 968*n - 566*n - 496*n.\nAnswer: -2320*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 9. What is q(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6121 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 6376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 30*u + 17*u - 53.\nAnswer: 47*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + p - 1 = 0, 2*p + 2*p = 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -16 (b) -1\/4 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a - 41. Let m(p) = -41*p + 133. Determine 11*g(b) + 4*m(b).\nAnswer: -10*b + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 391, 2367, 5913, 11029, 17715, 25971?\n\"Answer: 785*a**2 - 379*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:59 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 39*w**2 + 50*w - 57. Let f be z(-18). Solve 4*q + 20 = 0, 38*q = -4*m + 35*q - f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaqoooeapppaeaeeqe. What is prob of picking 1 q and 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 - 1 = 0. Put w, 4\/3, 3 in descending order.\nAnswer: 3, w, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22828 <= -29700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3027, 12100, 27221, 48390, 75607?\n\"Answer: 3024*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 1506915 + 1412261 = 0. What are the prime factors of r?\nAnswer: 2, 28069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 406, -11, -225, 2 in descending order.\nAnswer: 406, 2, -11, -15, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*x + x - 18994, -x = -2*i - 3794. Suppose 2*l - x = 4*l. Round l to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*k*l**4 - 2*d*k*l + 2*d*k + 53*d*l - 5*k*l**3 wrt l.\nAnswer: 60*d*k*l**2 - 30*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34504346 (base 7) in base 2?\nAnswer: 1011100010111101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 2047.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**3 + 5*r + 2. Suppose -3*k + 12 = -0*k. Let l(c) = 6*c + 10*c**3 + c**2 - 2*c**3 + 0*c**3 + 2 - c**2. What is k*l(d) - 5*o(d)?\nAnswer: -3*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:45 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-9)\/90*6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2\/3, -5, 0.1, 42?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/175)\/(132\/(-336))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 1, d + 131 = 4*r. Suppose 5*g + 3*x - 82 = 0, -x + 2*x = -1. What is the remainder when r is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1690122 (base 10) to base 14.\nAnswer: 31dd10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 6126*q = -6130*q - 40, -2*r + 3*q = -15 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 459*x**3 - 2*x. Let p(t) = t**3 + t. Calculate m(n) + 2*p(n).\nAnswer: 461*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 27. Suppose -16 = 4*u - 0*u. Let f = u - h. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*-69*(-96)\/(-30912)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275020967?\nAnswer: 13, 1019, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v - 5. Let n = -121441 - -121551. Calculate the least common multiple of g(-5) and n.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:23 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 5*a - 2 + 1 - 5. Let g(w) = 3*w - 17. Let d(b) = -6*g(b) + 17*p(b). Let t(j) be the first derivative of 3*j**2 + 2. Calculate d(t(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 3. What is the nearest to v in 0.4, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2393468528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 0. What is the least common multiple of z and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129292516 to the nearest integer?\nAnswer: 11371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*s - 115*s + 103*s + s**3 - 184*s - 67*s + 12*s**5 wrt s?\nAnswer: 240*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = -f. Suppose f*q = -7 + 17. Suppose -10 = q*w - 125. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54451 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22893*-1.\nAnswer: -22893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*d - 4, -4*p + d - 11 = -8*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, -5, -112, 0.2.\nAnswer: -112, -5, 0.2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - 2*w**4 + 3*w**4)*(0 + 0 + w) - 14*w**5 - 2*w**5 - w**5 + 2*w**5 - 3*w**5 + 7*w**5 + (-w**5 + w**3 - w**3)*(0 + 3 - 1).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -5\/4, 345, -0.001?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*-2)\/((-18)\/(-12)). Put -1\/2, a, 4 in increasing order.\nAnswer: a, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1505 = -3*z - 351, -5*z = 10. Let a = f + -262. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -301 + 2191 + 158544*o**4 + 558 - 158974*o**4 wrt o?\nAnswer: -1720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -813 (b) 32 (c) 6 (d) 2\/13 (e) 0 (f) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 2*j. Let m(p) = p - 1. Let l(y) = -3*m(y) - v(y). Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28260 + 28426. Solve 50*w + r = -34 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*j**4 - 224788*j**3 + j - 22628965?\nAnswer: 88*j**3 - 674364*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chtcththh. Give prob of picking 1 c, 1 t, and 1 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -7*v**6\/480 - 3*v**5\/80 + v**4\/8 + v**3\/6 + 645*v**2. Determine p, given that z(p) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 0*j**3 - j**3 - 6*j**3 + 70*j**2.\nAnswer: -7*j**3 + 70*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 13961*x**2 + 1234608*x.\nAnswer: x*(x - 13872)*(x - 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-44) + (-80)\/(-44))\/(34\/85). Factor -4\/7*y - 22\/7*y**2 + 24\/7 - 1\/7*y**g + 9\/7*y**3 + 2\/7*y**4.\nAnswer: -(y - 2)**3*(y + 1)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68434, 0.5, 79, -5 in descending order.\nAnswer: 79, 0.5, -5, -68434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + y = -0*y + 9, -5*x + 4 = -2*y. Suppose 4*q = 18 + x. Suppose 4*k - 3*k - 28 = -q*l, -5*k + 5*l + 20 = 0. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(4*w + w - 4*w + 3*w + 4*w - 6*w + 2 - 2 + w + (3 + 0 - 1)*(-w + w + w)) + (4*w - 3*w - 2*w)*(-5 + 5 - 2*w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 8*o + 12*o = -2182, 5*o = -3*d + 1287. Let i = d - 437. Let x(k) = k**2 + k - 4. What is x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-3) - 7\/21. Let a be (0 - 1)*(g - -2). Find f, given that 4*f**2 - 3 + 4*f**2 + a + 4 + 10*f = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 712 and 360.\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 4*x - 208 = 5*o + 2*x, 3*x = 18*o + 783 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*b - 3057 + 668 - 2441 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -58*x - 4*x**2 + 14*x + x**2 + 26*x - 27 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**6\/36 - 11*n**4\/24 - 2*n**3\/3 + 9. Let a(v) be the third derivative of d(v). Differentiate a(u) wrt u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*z**2 - 273*z**2 + 2*z**3 + 2*z**3 + (-z**2 + 0*z**2 - z**2)*(5*z - 2 + 1 - 2) to a*z**2 + s*z**3 + r*z + l and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2428*c - 1213*c - 1213*c + 42*c**4 + 3*c**2 - 2 + c**4 + 2 + (5*c - 3*c - c)*(c**3 - 2*c + 2*c).\nAnswer: 44*c**4 + 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 139806, 139790, 139764, 139728, 139682, 139626, 139560?\n\"Answer: -5*t**2 - t + 139812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104521 - 21?\nAnswer: -104542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-1)\/(-1)) + 2. Let a(j) = j**3 + 11*j**2 - 13*j - 11. Suppose -n = n + 24. Let t be a(n). Is t less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3894 and -3894 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 66.7. Which is the nearest to -0.09? (a) 4\/5 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 34\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-2 + (6 + -2 - 4) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.79 + 2.79. Let g = -0.19 - -0.2. Let i = g - -1.99. Which is the third smallest value? (a) 4 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 16) + (-25 - -64 - 41)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/21 - 15\/(-35). Suppose 0 = t*l - 9*l + 15. Solve -l*m = 2*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 10. Let u be d(-10). Let g = -24 - u. Suppose -10 = -2*h - 4*r, 3*r + 8 + g = 4*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367526 divided by -1.\nAnswer: 367526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238*j**6 - 224*j**2?\nAnswer: -28560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*b - 888, -3*r - 356 = -5*b + 326. Suppose -6*w - 133 = 413. Let t = w - r. What is the greatest common factor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123676 and 637.\nAnswer: 1607788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84055 (base 12) to base 5.\nAnswer: 21012430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39999\/2 at least 20000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**3 - 36*y**3 + 123*y**3.\nAnswer: 72*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 1040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + u)*(-5*u + 5*u - 4*u**2) - 3*u**3 + u**3 - 32*u**2 - 22*u**2)*(-3*u - 4*u + 3*u) to h*u**3 + g*u + m*u**2 + o*u**4 + p and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/21 - (-1835)\/(-7). Let x = -1262 - s. What is x rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6633044 (base 7) to base 15\nAnswer: 111735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150076391411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -432, -860, -1286, -1710, -2132, -2552, -2970?\n\"Answer: u**2 - 431*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18717, 37542, 56367?\nAnswer: 75192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 6) + 5 - -2) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/(x\/x**(2\/7)*x)*x*(x\/(x\/x**(-5)))\/x*x**(-3\/2))\/(((x**(-6)*x)\/x**(-2\/5))\/(x**4\/(x**(2\/3)*x))) assuming x is positive.\nAnswer: x**(-199\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 58*a + 4. Let x be l(29). Find the second derivative of 23*p + 0*p - 98*p**3 + x + 18*p - 37*p**3 wrt p.\nAnswer: -810*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 12*l + 4. Give u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/(-1)*(-119086)\/27065?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j + 2*t - 36, -3*j = 2*t - 24. Suppose -j = 6*c - 8*c. Solve 3*f - n = 5*f + 7, 3*n = c*f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.72 + -32.28. Let u = 32.918 + l. What is u rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-268)\/44)\/((-216)\/2376). Solve -o + 52 = 15*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 1 - ((-37 - -38 - -41) + -30)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 698, 188, -2\/7, -0.5, -3?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8786 rounded to two decimal places?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + u + 36 = 3, -4*u + 3 = -f. Suppose -x + 19 - f = 0. Suppose -30 + x = -4*j. What is the remainder when 32 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -86*q + 168. Determine g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, 27, 1\/11, 0.23, -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(-28) + 1 - 20596\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 20428148?\nAnswer: -20428151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/210 - 2*(-11)\/(-15)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*d + 46*d = 210. Let r(p) = -p**2 - 4*p - 4. Let v(q) = 35*q - 5. Let l(u) = -2*u. Let a(m) = 20*l(m) + v(m). Calculate d*r(f) + 4*a(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)\/n*n*n**(-5\/3)\/n)**(-27)*(n*n\/n**(-2\/7)*n)**(2\/75)\/(n*n\/n**(2\/19)*(n**1*n)\/n) assuming n is positive.\nAnswer: n**(7053539\/109725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 19 = 63. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18766213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/54)\/(4*(-3)\/36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167719 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -732, -7979, -20056, -36963, -58700, -85267?\nAnswer: -116664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (104\/17 - 8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13195 is divided by 454.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 21.94, 1, -278?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123\/4 - -31. Let b(v) = 2*v**3 - 47*v**2 - 21*v - 72. Let m be b(24). Factor m*y + w*y**2 - 1\/4*y**4 + 0*y**3 + 0.\nAnswer: -y**2*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(144) + -2*(sqrt(15)\/sqrt(3) - sqrt(5))**2 - (3 + sqrt(405) + 2)**2.\nAnswer: -430 - 359*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (144\/40)\/((-3)\/(-160)). What is the highest common divisor of o and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2781 + 44*j + 2780 - 5562.\nAnswer: 44*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/24)\/((-350)\/(-630)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 263.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-303 + 311 - (0 - -14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13 = 7. Is (134\/3)\/(l\/(-45)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/7 (b) -6632 (c) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1336*l**4 + 2*l**3 - 2*l**2 + 109. Let b(c) = 4009*c**4 + 7*c**3 - 7*c**2 + 325. Let u(s) = -2*b(s) + 7*d(s). Differentiate u(w) wrt w.\nAnswer: 5336*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*1)\/sqrt(4))\/(sqrt(196)\/sqrt(7)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 344 - 374 - (-9 - (-4 + 7 + -32)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105326, 421547, 948574, 1686401, 2635022, 3794431?\n\"Answer: -h**3 + 105409*h**2 + h - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24069165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let y be q(5). Let z = 8 - y. Suppose 20 = i - c, -2*c - z*c = -8. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -31. Suppose -j = h - 44, t*h + 204 = 5*j - 16. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 287130678318.\nAnswer: 287130678318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30199\/2 + -15099. What is the closest to 2\/5 in -23, z, 2\/3, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 459 and 17?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-27))\/((-2)\/(-48)). Let k = i + -20. Is 20 - (-2 + (-4 - k)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(16)*-5)\/((sqrt(96) + sqrt(96)*4)\/sqrt(12)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 25670 and 25669 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 0)*2)**2 + sqrt(612) + -2 + (sqrt(612) + sqrt(612)*-2 - sqrt(612))**2 - 4*(-2 + sqrt(612) + -3).\nAnswer: -18*sqrt(17) + 4914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -12.1198?\nAnswer: -12.1198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630 = 234*a + 2114 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2291244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 4*w - 4*v - 1, 5*w - 141 = v. Let o = w - 12. What is the highest common factor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*r**4*s - 88*r**4 - 7*r**3*s + 623*r**2*s - 9*r**2 - r - 118*s wrt r?\nAnswer: 4584*r*s - 2112*r - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + c**2 + 60 + 58.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 184*r**2. Let f(a) = -4514*a**2. What is c(f(u))?\nAnswer: 3749220064*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - 6*v**2 - 4*v + 5. Let w(f) = -2*f**3 + 6*f**2 + 3*f - 5. Let c(z) = 3*d(z) + 4*w(z). Does 19 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1\/5, -5, 1\/2, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - -712?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -6561182 and -6561175 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45432511 (base 7) in base 15?\nAnswer: 532a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnrurbfk. What is prob of picking 1 f, 1 k, and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16479 = -2410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbllllhlplhchhhhp. What is prob of picking 1 h and 1 l?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 2 - (2 + sqrt(5) + -5)) + (-6*sqrt(540)\/sqrt(9))\/sqrt(12).\nAnswer: -5*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 + 6*c**2 - c - 21. Let m(t) = -5*t**3 + 5*t**2 - t - 20. Let x(i) = 6*a(i) - 7*m(i). What is the units digit of x(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/257027 and -18\/44315.\nAnswer: 1285135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 948 and 78447?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 307*v - 3553. Calculate x(-12).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012210 (base 3) to base 11.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540725417?\nAnswer: 101, 5353717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -665 + 665.26. What is the second smallest value in 2, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**3*y**2 + x**3 - 21*x*y + y**2 - 35 wrt x?\nAnswer: 6*x**2*y**2 + 3*x**2 - 21*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, o: 7}. What is prob of picking 3 k?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(7))**2 + -1 - sqrt(7)).\nAnswer: sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 46*y = 49*y + 39, -123 = -4*z - 3*y. Solve -a - 10*k + 7*k - 13 = 0, 5*k = -3*a - z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 + -1.6. Let g = -2.6 + q. Which is the nearest to -1? (a) -4 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:29 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100591 is divided by 6285.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -13\/587 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 5. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-2 - -11) + 4 + -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 9, -16, -116.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2 + 2)*(-1 + 1 - 2*s)*(-24*s**2 + 324 - 324) as t*s**2 + l + d*s + m*s**4 + i*s**3 and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - r - 3. Let h be z(-6). Let b = -41 - h. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 99 = 2*a - 139, 0 = -4*a + 4*s + 428. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326809 is divided by 106?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -885 - -1009. Calculate the remainder when q is divided by -3 + 4\/(12\/87).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.82285um to meters.\nAnswer: 0.00000582285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*g + 48, -3*g - 11*q = -6*q - 41. Solve -2 + 12 = 2*t + g*j, 0 = 3*t - 5*j - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4687*z**3 + 8*z**2 - 16*z - 8. Let v(b) = -3125*b**3 + 5*b**2 - 10*b - 5. What is -5*t(j) + 8*v(j)?\nAnswer: -1565*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.33, 11 in ascending order.\nAnswer: -2, 1.33, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70\/3 + -23. What is the third smallest value in -3, o, 1\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {e: 1, d: 2, l: 1, w: 1, c: 2, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7928 - 0.2072. Let l = -89 - -88.8. Sort -5, j, -17\/5, l in descending order.\nAnswer: l, j, -17\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*i + 183*i - 421 = 1423. Calculate the remainder when 1049 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*f + 7*f = -66*f + 2114 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqd. Give prob of sequence qd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17583164.\nAnswer: 2, 29, 151579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 8*z - 5 + 10*z.\nAnswer: 2*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 124 + 146 = 0. Which is the closest to -3? (a) 1\/2 (b) 7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165 in -0.06, 3.8, 1\/9, -2?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 212.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1137 * 0.02.\nAnswer: -22.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/((-12)\/60). Let o(i) = 6*i - 1. What is o(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 10*g + 23. Let t be m(6). Solve 5*r = 3*h - 29, 2*r = 2*h - t - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 849, 853, 859, 867, 877, 889?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 0.067383.\nAnswer: 1.067383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - n)*(0*n - n - n) + 238 + 229 - 453 + 39*n**2 + n.\nAnswer: 41*n**2 + n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(2\/67)*f)\/(f\/(f**(-18)\/f*f)))**49)**(-26))**(5\/2) assuming f is positive.\nAnswer: f**(3621345\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 245*s**2 + 20*s - 18. Let c(g) = 262*g**2 + 19*g - 16. What is -9*c(l) + 8*j(l)?\nAnswer: -398*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -26 (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + -6 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/166528 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/350 and (-3 - (-770)\/270)*(-8)\/(-10).\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -775 (base 12) to base 3\nAnswer: -1111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i - 1. Let b be z(2). Let x be 2\/b - 66\/14. Which is smaller: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400 + 402. Let v(j) = -4*j - 244*j**2 - 2*j**3 - 241*j**i + 489*j**2 + 4. Determine v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 4. Let z(f) = 6*f - 5. Let p(d) = 5*i(d) - 4*z(d). Let t(w) be the second derivative of -w**4 + w**2\/2 - 5308*w. What is p(t(n))?\nAnswer: -12*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -0.04. Which is the smallest value? (a) l (b) -2\/9 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2391 - 133 = -4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 9*x + 10. Let s be l(-8). Suppose 18 = 5*i - 57. Suppose -s*p - p = -i. Solve -p*k = 27 - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -593 - -82. Is v <= -512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab0 (base 15) to base 11.\nAnswer: -18a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5 - 4 - 1 + 2*l**2 + 2 - l**3. Let s(p) = 5*p**3 - 9*p**2 - 9. Determine 18*c(d) + 4*s(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6324 and 56508?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 11*v**2 + 0*v**3 + 0 - 1\/10*v**4 + 7\/200*v**6 + 3\/25*v**5 + 0*v. Factor h(d).\nAnswer: 3*d*(d + 2)*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 69.07. Let z = 0.0173 + -4.0173. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d - 52. Suppose 0 = 125*f + 81*f + 1236. Give n(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086334.\nAnswer: 2, 3, 277, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3257, -3477, -3309, -2747, -1785, -417, 1363, 3561?\n\"Answer: w**3 + 188*w**2 - 791*w - 2655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-10)\/(-150))\/((-8)\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 23*c**2 - c. Let f(h) be the second derivative of -h**6\/360 - 15*h**3\/2 - h - 3. Let d(s) be the second derivative of f(s). Determine d(k(t)).\nAnswer: -529*t**4 + 46*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3101 by 7.\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 164*k**3 + 7*k**2 - 5*k + 5. Let x(o) = -185*o**3 - 8*o**2 + 6*o - 6. What is -4*c(q) - 3*x(q)?\nAnswer: -101*q**3 - 4*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 9\/186484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -23803\nAnswer: 4760.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.461909 to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k, i + 4*k - 10 = 0. Suppose 26 = -4*x - 22. What are the prime factors of x\/15*i\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6947*u**2 - u. Let b(o) = -30*o. Calculate r(b(w)).\nAnswer: -6252300*w**2 + 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -653 (base 7) to base 10.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i = -1931 + 22235. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 8. Is 1 + 2 + q + 1275 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, k: 2, z: 3}. Give prob of sequence kz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/4)*k)\/k**(5\/6)*k**(-1\/5)\/(k*((k**(2\/7)*k)\/k)\/k) assuming k is positive.\nAnswer: k**(601\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3160 and 20?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -289*u**3 + 6*u. Let m(k) = 289*k**3 - 5*k. Calculate -6*m(n) - 5*t(n).\nAnswer: -289*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213103330 - 12?\nAnswer: 213103312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 10.9. Let v = -3.1 + g. What is the closest to -0.4 in -0.3, 5, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72000 divided by 7200?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, 217, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -26. Let v = -133 + 1198\/9. Which is the nearest to v? (a) -3 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 8\/25*(-65)\/(-52)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16093 and 1.434663.\nAnswer: -16091.565337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 + 2*j**5 - j**5 + (1 - 3*j - j + 2*j)*(-777*j**2 + 777*j**2 - 22*j**4).\nAnswer: 46*j**5 - 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 2*g. Let r(b) = b**2 + 3*b + 2. Let v be (-4)\/(-10) + 85\/(-25). Let f be r(v). Give p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1395, 712, 15, -696?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*y - 732*y + 3*f + 4 = 0, y = 2*f + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*g = -0*l - 24, g - 10 = 3*l. Let a(w) = 1 - 2*w - 1 - 2*w**2 + 4. Let t(p) = -3*p - 1 + 3*p + p. What is l*t(i) - a(i)?\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l, 2*t + 66874 = -3*l. Let q = 78990 + t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*(-10)\/((-420)\/(-9))*12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/44 - 1\/(-4). Let n be (3\/(-4))\/((-60)\/32). Which is the third smallest value? (a) 4 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8. Let z = p - 0.7. What is the third biggest value in z, -4\/9, 6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -1454.\nAnswer: 1890.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3786075207?\nAnswer: 3, 420675023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255858.\nAnswer: 2, 3, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/45)*x**(-3\/22))**30)**50 assuming x is positive.\nAnswer: x**(-5650\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 2*v**3 + 4*v**3 + (-36*v + 36*v - 3*v**2 + 2)*(-4 - 5 + 5)*(2*v - 5 + 5) in the form y*v**3 + x*v**2 + s*v + b and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 0.02. Suppose 2 = -d + 3*d - 2*z, 3*d + 3 = 5*z. What is the closest to -1 in 0.5, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5125019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 6. Let z be f(-5). Let j(r) = r**2 + 5*r - 1. Let p be j(-5). What is the units digit of z - p - (-6)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 11*h - 4. Let j be f(-10). Let n(g) = -g + 10. Let q be n(j). Suppose -6 = b - q*m, -5*m = -6*m + 4. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095536 divided by -62?\nAnswer: -49928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -6. Let o be ((-1)\/2)\/(h\/160). Solve 2*l = 4*i - o, 5*l - 3*i + 0 = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 - 55?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802033132.\nAnswer: 2, 6067, 33049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3256, -2279, -536, 1979, 5272, 9349?\nAnswer: 14216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18 - 35*k + 5*k**3 + 9*k**3 - 15*k**3 + 18*k**2. Calculate the lowest common multiple of 14 and b(10).\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 4*i**3\/3 - i**2 + i + 10. Let m(f) = f**2 - f. Let p(j) = -3*m(j) + w(j). What is p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15707473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**3 - c**3 - 21519*c**2 + 5*c + 21519*c**2 to the form v*c**3 + f*c**2 + x*c + l and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -432313372*v**3 - 668356320*v**2?\nAnswer: -2593880232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iivi when four letters picked without replacement from {v: 2, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 165336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0 + 0)*(136*o**2 + 47*o**3 - 86*o**3 + 37*o**3).\nAnswer: -8*o**4 + 544*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(65)*6*-6*-2)\/(-5*(sqrt(25)\/sqrt(45) - sqrt(125)*5)))**2.\nAnswer: 606528\/34225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230\/3 - -78. Is d at most 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 2*a + 0 + 0*a**3 - 1\/6*a**4 + 0*a**2. Let s(u) = -u**2 + 1. Let p(t) = -1. Let i(o) = -p(o) - s(o). Give i(v(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zccc. Give prob of sequence zccc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 39947388*j\/7 + 199474226002818\/7.\nAnswer: 2*(j + 9986847)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 67659\/1558*(-98)\/(-147) + -29\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 569.\nAnswer: -5\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = -9*o + 4*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 71. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 5404*u + 5408*u = -92, 0 = 2*i + u + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 99\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -64. Let j = -15 + x. Let p(r) = -r**2 + 10*r - 9. Calculate the remainder when 43 is divided by p(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (156\/(-8))\/(-1*(-3)\/(-48)). Calculate the greatest common factor of 39 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1191985 - -0.37\nAnswer: -1191984.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 + -588. Let h = s + 322. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 + 0*r**3 + r**3 + (5*r**3 - 2*r**3 + 3*r**3)*(-135 + 180 - 153) as q*r + i*r**2 + b*r**3 + z and give b.\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 139*d**3\/3 + 790. Let c(u) = 7*u. Determine q(c(k)).\nAnswer: 6811*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from bbbbbbbbbbfbb.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/36280 and 109\/408150.\nAnswer: 1632600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 32*s + 3 = -28*s, -n + 15 = 5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 338, 313, 288, 263?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 17170128*t - 24567774628032.\nAnswer: -3*(t - 2861688)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 10002.95t?\nAnswer: 10002950000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1b5?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 5*y - 10. Suppose -n = 4, -4*d + n + 47 = 15. Let h be l(d). Suppose -4*r + 2*a = -92, -h*r - a + 6*a = -92. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -39*b**3 + 35*b**2 + 160*b + 172. Determine k(-2).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4 = -4*j, 0*p + 3*j + 4 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 68 - 2*k**2 + 81 + 79.\nAnswer: -2*k**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002787564 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**46)**(2\/13)*(d\/(d*d*d*d**40)*d)**(-32))**(-5\/16) assuming d is positive.\nAnswer: d**(-42875\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - (-7 + (-7 - -9)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 3*w - 1. Let i be c(4). Let y = -636 + 669. Let f(o) = -i*o**2 + 27*o**2 + y*o**2. Let s(q) = 27*q**2. Calculate f(s(v)).\nAnswer: 729*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 161\/21 + (-1)\/(-3). What are the prime factors of 1534\/s - ((-10)\/8)\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence strb when four letters picked without replacement from twtssbbr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4032 and 672.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2316807.36 nanoseconds to days.\nAnswer: 0.0000000268149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 10. Let o be x(8). Suppose -o*r + 7*r = 60. What is the remainder when 85\/4 + (-1)\/4 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.42093 meters to millimeters.\nAnswer: 93420.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 14*a + 1. Calculate c(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122201012 (base 3) to base 14\nAnswer: -49c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, 4, -3, 708, 33 in ascending order.\nAnswer: -5, -4, -3, 3, 4, 33, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - 147*q - 124*q + 4269 + 13221 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 7*o**4\/2 - o. Let b(k) be the third derivative of 1\/24*k**4 + 0*k + 0*k**3 + 158*k**2 + 0. Calculate b(w(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 28, -1, 4, 603 in increasing order.\nAnswer: -47, -1, 4, 28, 603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/91)\/(581\/(-15106))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 4. Let h = 2 + 4. Calculate the smallest common multiple of h and v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t. Let u(w) = -w. Let c(v) = -i(v) + 3*u(v). Let x(h) = 2024827 - 2024827 - 2*h. Give c(x(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y - 5. Suppose -l - 11 = 2*u, -4*u + 2*l = -0*u + 2. Let q(r) = 3*r + 2. Let w(o) = u*k(o) - 8*q(o). Give w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62464 and 13312?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 175120, 175129, 175136, 175141, 175144, 175145?\n\"Answer: -s**2 + 12*s + 175109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170*i*t**2 - 118453246*i - 164772*t**3 with respect to t.\nAnswer: -340*i*t - 494316*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2290*w - 254187. Let o be c(-111). Suppose 360 + 5\/3*j**o + 180*j + 30*j**2 = 0. What is j?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h**2 - 4*h**2)*(h**3 + h**3 + h**3) + 0 - h**5 + 0 + h**5 + 0*h**5 + 0*h**5 + 264*h**5 + 112*h**5 - 115*h**5 + 2*h.\nAnswer: 258*h**5 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7504 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43937, -87727, -131517?\n\"Answer: -43790*x - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (265 + -424 - -243).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 15*v + 4. Let r(l) = -l**2 + 7*l - 2. Let q(s) = -9*r(s) - 4*x(s). What is the remainder when q(-5) is divided by 17 + (-4)\/(-6)*-3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 - j - 14. Let f be t(7). Calculate the lowest common multiple of 68 and (-14)\/f - 5\/(30\/(-8)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4113 - 4089. What is the highest common divisor of 294 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**6\/6 + 19*q**3\/6 + 14*q. What is the second derivative of r(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/12 - 7*j**3\/3 - j**2. Let b be u(9). Let k(v) = 36*v**2 + 3*v - 1. Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:53 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 7\/5 (b) -3 (c) 2\/709 (d) 1\/6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-1080))\/(30\/36*28\/70).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48691085?\nAnswer: 5, 751, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-34)\/221 + 39513\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 7*p - 15. Let k = -6987 + 6986.6. Which is the nearest to 1? (a) 17 (b) 1\/2 (c) p (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-4)\/(-3))\/(-4). Let g be 3 - 11\/h*-2. Solve -5*l = 0, -4*l + g = -5*f - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 7482104*x - 3498867516676 = 0. Calculate x.\nAnswer: -935263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03868 rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -g - 20, -92 = 3*g + g + 2*c. Let r = -25 - g. Let z(j) = -3*j + 3. Let q be z(2). Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111002202 + 11200212?\nAnswer: 122210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101 - -2002112211?\nAnswer: 2001212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 smaller than 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 393*w - 5120. Calculate d(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-257245)\/(-115) + (-4)\/(-46). Suppose 0 = -19*a + u + 309. What are the prime factors of a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95925 + -12.860387.\nAnswer: -95937.860387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428150 and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 72*w - 737. Determine z(10).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 52*u + 178. Let y be l(-22). Let w be 0 + (-2)\/((-2)\/3). Let m = -4 + w. Which is the closest to y? (a) -2 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9*p - 2 - 2\/9*p**2.\nAnswer: -2*(p + 1)*(p + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7156.\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-106) + (1320 - 1333) - (-52)\/4.\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 158?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*d = -6 - 31, -2*k = d - 16. Does 6 divide ((-15)\/(-2))\/(k\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-19 + 21 + -5 - -18).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(320) + 5 + sqrt(320) + (5 + sqrt(320) + 1 + sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320))**2.\nAnswer: 496*sqrt(5) + 8042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 0.03 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(-2*2*sqrt(20))\/(sqrt(4) - sqrt(324)*-1))**2 + -4.\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -143810, -287621, -431432, -575243?\n\"Answer: -143811*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**3 - 34*x**2 + 147*x - 8 wrt x.\nAnswer: -6*x - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743935.\nAnswer: 5, 23, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 17*h + 4*w = -1, 5*w + 10 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 60. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 98. Let u(p) be the second derivative of p**4\/12 + p**2\/2 - 2*p. What is u(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 30. Let k be v(-15). Is k*7\/(210\/(-216)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 - 16*a + 5. Suppose 0 = -u - 3*t + 5, -t + 20 = 2*u - 5*t. What is the smallest common multiple of s(u) and (6 + -4)*1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 33*k**2 - k. Let m(t) = -190*t**2 - t. Let i(y) = m(y) + 5*u(y). Let o(v) = 1426*v**2 + 341*v. Calculate 341*i(c) + 6*o(c).\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4612 divided by 7.\nAnswer: 4612\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.002? (a) 1 (b) 758 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 - 31*c**2 - 13*c + 35. Let t be b(8). Let i(r) = 11*r + 55. What is i(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(20\/(-35))*12\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -47*i**5\/5 - 33*i**2\/2 + 12. Find the second derivative of k(z) wrt z.\nAnswer: -564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 3:15 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -4 (c) -33 (d) -373\/2 (e) -3\/35 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - k - 4*k = -7, -4*k = -4*r + 28. Let w(l) = -2*l**2 + 16*l. What is the lowest common multiple of 14 and w(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.3 + -23. Which is the nearest to 0.3? (a) 5 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**3 + 0*t + 36*t**3 - 18*t**3 + 0*t + 33*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -25. Let d = x - -13. Solve d = a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/3 + 55*d**2\/3 + 740*d - 2340.\nAnswer: -5*(d - 26)*(d - 3)*(d + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1902*v - 1707*v = 14430 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 298566 to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/2135 and -67\/366.\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 16*y - 11. Give h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukuskuupkrksuupuupu. What is prob of sequence kkkk?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -39. Solve u*j - 8 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 + 21)*(0*s**2 + s**2 + s**2).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19699?\nAnswer: 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453741 to the power of 1\/2, to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 669*h**2 + 6*h + 2. Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3518540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*j - 6 - 16 = 0, -2*z - j + 29 = 0. Let x = 100 + 8. What is the highest common divisor of x and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.06 (b) -38343 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90 + -4 + 1 - 1. Let q(v) = -78*v + 381*v + 3 + k*v + 90*v. Let r be q(3). Round r to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 11, w: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*l = -19, l = y - 0*l - 10. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 257, 513, 769, 1025?\n\"Answer: 256*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s - 4. Let w be v(6). Suppose w*m - 4*p - 16 = 0, 5 = -p - 4*p. Let c(r) = -13 - 7*r + 8 + m. Give c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/(-48))\/((-4)\/174). Let a(y) = 45*y + 2. Let v be a(3). Suppose v = 3*i + u. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*w - 8, -w + 5*u + 2 + 2 = 0. Suppose -w*g = g - 1455. Suppose -91 = 4*a - b - g, -3*b - 150 = -3*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/3234 and -31\/1617.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*1*(-4)\/4. Suppose 15 = -d*r - 9. What is the units digit of (-138)\/r + (-1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*t + 4, 0 = -2*o - 4*t + 300. Let q be (-17)\/(-1) - -1*2. What is the greatest common divisor of q and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 2. What is the common denominator of (-12)\/(-21) - (-451)\/q and (1\/(-12))\/((-71)\/(-7739))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 144 + 150, 12 = -4*j + 4*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371075*g**5 + 37346*g**2 - 1 wrt g?\nAnswer: 22264500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 - -74. Let s = u - -84. Solve 2*j + 6 = -4*l, l + s*j + 8 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - -1*((sqrt(704) + 1)**2 + sqrt(704))) + -2.\nAnswer: 32*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*w + 112, -5*g + 8*w + 152 = 6*w. What is the greatest common divisor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 15. Let m be v(-7). Let s be (-3)\/(-9) + (-10)\/m. Suppose i + o = -6, s*i - o - 4 + 1 = 0. Put 1\/5, 4, i in ascending order.\nAnswer: i, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13880, 27547, 41142, 54629, 67972?\nAnswer: 81135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 + 4*z + 103. Give c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50.84096 centimeters?\nAnswer: 508409.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -84. Suppose 3 = j, -5*b + z = j - 45. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**4\/4 + 2*k**3 + 2*k**2 - 7*k + 1. Let v = -363 + 388. Suppose -174*b = -169*b + v. Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 3*c**2 + 5*c - 2. Suppose -39*q + 60 = -36*q. Calculate the remainder when q is divided by o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13) + 2 + 3)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d**2 + 5*d - 5*d - 29*d**2.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20441 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 0. Let o be w\/21 + (-8)\/(-28). Solve o = -2*s + 1 + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/19 - 54*c\/19.\nAnswer: 2*c*(c - 27)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2203890036364615\/33607483533572 + 1723\/568298756. Let d = n - 1705\/26. Let h = d - -295673\/27294. Calculate the common denominator of h and -53\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2257 + 2228.02. Let o = 29 + k. What is the smallest value in -4, 0.3, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -36. What is the common denominator of -7\/3 and ((-6)\/(-8))\/(y\/(-192))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + f + 61, 0 = -3*b + 2*f + 42. Let y = -18 - -8. Calculate the smallest common multiple of b and ((-1)\/(y\/(-24)))\/(4\/(-30)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*m + 4. Suppose -2*q + 5*q + 3*r + 9 = 0, -2*q + 3*r = -19. Let n = m + q. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*-31*25\/(-5425).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - -70. Let n = -53 + 93. What is the remainder when o is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/((-3)\/32)*405\/180 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 309435*f**2 + 928266*f - 1237704.\nAnswer: 3*(f - 1)*(f + 4)*(f + 103142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 523868 divided by -19\nAnswer: -27572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 18. Let o = 80 - 50. Calculate the remainder when o is divided by w(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(672))\/((2*sqrt(6) + sqrt(6))*5) + 2)*3.\nAnswer: -4*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 3*u**4 + 4*u**4 + (0*u**2 + u**2 - 2*u**2)*(u**2 - 3*u**2 + 4*u**2).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, 0.20639.\nAnswer: -18, -4, 0.20639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/14 + 5\/10. Which is greater: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74.37 + 4183.63. Let k = -4253.758 + m. Let i = 0.042 - k. What is i rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 340 + 340 + 5*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 - g**2 + 6*g. Let x(c) = -c**3 - c. Let k(a) = i(a) + 6*x(a). Let s be k(0). Suppose -o + s - 3 = 0. Is o less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 4*y**2 + 4*y - 3. Suppose 3*h - 16 = -5*h. Determine l(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222210013 + 0?\nAnswer: 222210013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 2568?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31427932 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*((g\/g**(-4))\/g*g)\/g)**(-12\/7) assuming g is positive.\nAnswer: g**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1822?\nAnswer: -1\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -181303998*s - 10902424 wrt s.\nAnswer: -181303998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 0)\/1 - (-272)\/80.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249366 = -12461*y + 15658*y for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -25*y**4\/12 - 13*y**3\/2 + 47*y. What is the second derivative of j(g) wrt g?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4 - 2. Let j be ((-3)\/(-14))\/((-17)\/(-238)). Suppose 0*m + 3*m = -5*p + 17, -9 = -x*p - j*m. Solve c = -0*c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i + 83. Let q be x(10). Suppose a - q*d - 16 = 6*a, 10 = -5*a - 5*d. Let m(h) = h - 3. Let c(u) = 1. Let o = -6 - -4. Determine a*c(f) + o*m(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-16)\/224*-49?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 10*q**2 + 11*q + 7. What is p(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 65 = 25. Calculate the lowest common multiple of g and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n + 92. List the prime factors of b(18).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3534604768?\nAnswer: 2, 53, 1231, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46623821 and 5?\nAnswer: 233119105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 6, -3\/5, -1, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 2 + 0 + 5)**2.\nAnswer: 56*sqrt(13) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let d(x) = -4*x + 4 + 3*x**2 - 4 + x**3. Calculate d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3244.787 days?\nAnswer: 280349596800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300674101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b - 1 - b - 2*b. Let f = -3 + 5. Let q(o) = -2*o. Let h(l) = f*s(l) + 6*q(l). What is h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 621. Let c = -423 + r. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/13)*z*z\/z**(-15))**(-19\/3) assuming z is positive.\nAnswer: z**(-4655\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -21*f + 20*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:58 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaddnnnd. Give prob of sequence and.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 2)*(2 + 0 - 3)*(-h**3 + 0*h**3 + 4*h**3).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -36*n**2. Let c(w) = 12*w**2 - 2*w. Determine c(k(v)).\nAnswer: 15552*v**4 + 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17713, 17248, 16783?\nAnswer: 16318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/4 - 215*z**3\/2 - 72*z**2 = 0. What is z?\nAnswer: -2\/3, 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/225 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3010 - -142?\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 31 = 5*y, 0 = 3*y - 3. Is w equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30017\/8 - -3746. Find the common denominator of -17\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6731, -106, 4 in ascending order.\nAnswer: -106, 4, 6731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000598 rounded to 6 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 431*h + 43466. Calculate o(161).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272159563 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 4\/3*f**3 - f - 1\/20*f**5 + 0 + 9\/2*f**2 - 5\/12*f**4. Calculate g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212.11 - 212. Which is the second smallest value? (a) g (b) 2 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000039568783 rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 15) to base 4\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrrrrxrrr. Give prob of sequence xr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u - 38 = -440 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let j(g) = -g + 2. Let p be j(a). Is 9 a factor of (7 + -27)*(p - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-107)\/(-12). Suppose 0 = -2*s + 3*s + 3*r - 69, 4*s - 2*r - 206 = 0. Suppose -18*z - s = -24*z. Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 48862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4899138 to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5104 and 127600.\nAnswer: 127600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164226181521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11378*h**3 + 12290*h wrt h.\nAnswer: 68268*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 755391 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: Calculate the remainder when 12805 is divided by 4153.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13*u - 44. Calculate p(3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/450*15*22\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73fd4 (base 16) in base 10?\nAnswer: 475092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63567037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6046906 and -47\/7923532?\nAnswer: 229782428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 0.49779 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -0.2, -28, 6, -2, -0.6, -125?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 + 16*z - 2. Determine w(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 3240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 201.\nAnswer: -55\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-30))\/((-48)\/(-20)). What is the third biggest value in -0.4, j, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - q - 1 = 0, 2 + 3 = 2*i + q. Calculate the smallest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j + 111*j + 1661 = 401 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - l = -7, -3*y + l = -4*l + 3. Suppose 3*i + y*k - 122 = 0, -7 - 39 = -i + 4*k. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1236349 divided by -4\nAnswer: -1236349\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 4*r, 40 = 5*j + 5*r. Suppose 3*p + 12 = -3*a, -p + 6 = -j*a - 30. Calculate the remainder when 49 is divided by -2*(-34)\/a*-2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**2\/4 - 18945*y\/4 - 28431\/2 = 0.\nAnswer: -3, 6318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -68.7. Let g = -1743.5 - -1743. Let k = c - g. Round k to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 56 = -2*d, -8 - 35 = d + 5*q. Let x = 35 + d. Suppose -3*u + 99 = -4*s, -2*s = -5*u + 133 + 32. What is the remainder when u is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 576 + 90. Let a be 20\/40 + (-2)\/(-12) + 25\/3. What is the greatest common divisor of j and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 14*k - 55*k**2 - 55*k**2 + 122*k**2 as f*k**2 + x*k + l and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1792?\nAnswer: -3\/896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2809551332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41241 (base 16) in base 9?\nAnswer: 446003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 409, 2\/11, 1 in decreasing order.\nAnswer: 409, 1, 2\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4995.34mm?\nAnswer: 499.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 217*v - 3. Let i(x) = -223*x + 4. Let u(l) = 5*b(l) + 4*i(l). Let q(m) = m**2. Determine q(u(f)).\nAnswer: 37249*f**2 + 386*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1. Let o(c) = -c + 21. Let m(w) = -4*a(w) + o(w). Let p be m(11). Solve -p*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*q**5 + 323*q**4 - 80*q**3 + 82*q**2 + 17244*q wrt q?\nAnswer: -1080*q**2 + 7752*q - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/1314827, -0.5 in increasing order.\nAnswer: -4, -0.5, 1\/1314827","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231483 and 5824.\nAnswer: 192593856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (413\/2065*(-30)\/(-7))\/((-36)\/(-8))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.35635 litres to millilitres.\nAnswer: 83356.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 4, f: 4}. Give prob of picking 1 i and 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 19*v - 15*v - 12, -5*v - 2*f + 6 = 0. Sort -1\/2, v, 6.2, -1 in descending order.\nAnswer: 6.2, v, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*5*-3. Solve g*n - o = -3, 2*o = 3*n + 5*o + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 + 3)*(-t + 3*t - 3*t) + 1 - 2*t - 1 + 5 - 5 + 2*t)*(1 - 1 + 5).\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 100*c - 600.\nAnswer: -4*(c + 10)*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 180*b = 57 + 349 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 4*j**2 + 3*j**2)*(11838*j**2 - 23704*j**2 + 11842*j**2 - 7*j - 2).\nAnswer: 48*j**4 + 14*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 1:28 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 761 - 761.08. Which is the third smallest value? (a) 1\/10 (b) -8 (c) 2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/60 - u**2 - 2*u. Let b(o) be the first derivative of m(o). Let i(g) = 18*g**2 + 44*g**2 - 65*g**2. Calculate b(i(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*b - 393, 3*b - 318 - 297 = -4*f. Suppose 2*q - 87 - b = 0. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-150)\/(-27) + -5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 9:25 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 893 and 854977.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 20*i + 37. Let x(d) = 21*d + 46. What is 5*g(m) - 4*x(m)?\nAnswer: 16*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a)**(-50)*(a\/a**1*a)**(-36\/11) assuming a is positive.\nAnswer: a**(-2236\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 189 = 0. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6053 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + q - 1 + (-4*q - 2*q + 4*q)*(6 - 4 + 0) - q - 1 + 1 - 31*q + 68*q + 114*q as z + u*q and give u.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*2 + 5 - sqrt(325)) + 3 + 1*sqrt(325) + 2 + -2)**2.\nAnswer: 160*sqrt(13) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 13*c = -3*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 9*z**2 + 10*z - 14. Let w be i(-7). Solve -v - v = -4, -4*g = 5*v - w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 3*c + 189. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39498351257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5067*h - 2. Let u(q) = 85*q. Give u(b(c)).\nAnswer: -430695*c - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*t + 181*t - 60 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.21. Let v = -0.41 - y. Which is the biggest value? (a) 2 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 460125.\nAnswer: -4\/460125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6. Let p = j - -10. Solve p + 21 = 5*i + 4*f, -3*i + 24 = 4*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-36)*(2 - 1). Let s = y + 25\/72. Suppose 27 = -2*l + 27. Which is the third biggest value? (a) s (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106\/203, 0.205, -0.1 in ascending order.\nAnswer: -0.1, 0.205, 106\/203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 2*m**2 + m. Let w be t(-2). Let i = w + 3. Let o(h) = 26*h**3 - 3 - i*h**3 + 0 - 4*h**2. Give o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t. Let u(g) be the third derivative of 0*g + 0 + 0*g**3 - 40*g**2 + 1\/6*g**5 + 0*g**4. What is u(x(p))?\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-14) - 16\/(-8). What is the third biggest value in u, -0.1, 2\/63?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*w = -240, -z = -0*w + 5*w - 60. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwn when three letters picked without replacement from wanaaaaannaaaaaaa.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(704) - (sqrt(704) - (1 + sqrt(704) + (3 + sqrt(704) - sqrt(704))))) + 2*sqrt(704)*-3)**2.\nAnswer: -560*sqrt(11) + 17649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 32)\/(-10)*(-2)\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 729640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-15)*(a*a**(-10))\/a)**(-8) assuming a is positive.\nAnswer: a**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*v - 5*f + 9, 0 = 5*v + 2*f - 4. What is the tens digit of (27\/54)\/((-3)\/(-1098) - v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*i = -34*i - 43*i + 42. Which is the smallest value? (a) 4 (b) -1\/9 (c) 0.6 (d) i (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108+1764242.43\nAnswer: 1764350.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16419 + 9.83581. Put 1, 28, y in descending order.\nAnswer: 28, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 39, 2, 5.\nAnswer: -3, -2, 2, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 52*u - 197. What are the prime factors of f(15)?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 2. Suppose -2*g - 9 = -2*y + 3*y, -12 = 2*y + 2*g. Sort 4, m, y in increasing order.\nAnswer: y, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u + 12*u + 9*u + 199*u**2 + 2 in the form s*u**2 + v*u + f and give s.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 11*l + 340 = 39*l + 69*l. Let i(p) = p**2 - p - 3. Let h be i(3). Solve -l = -2*y - h*b, -2 - 7 = y - 4*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -14*g + 59. Solve u + 5*k + g = 0, -4*k = 4*u + k + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*s - 4. Let p(y) = y**2 - 3. What is the units digit of p(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) -2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57933b (base 16) to base 4.\nAnswer: 111321030323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let k(a) = 29598924*a. Give k(m(c)).\nAnswer: 88796772*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = 5*r + 2*o, -2 = -o. Let y be -1282*(0 - r\/9). Let z = y + 12109\/90. Find the common denominator of -58\/9 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859586385 to the power of 1\/2, to the nearest integer?\nAnswer: 29319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -2) + -3)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56074558 - -56074557.60000041. Let d = w - -0.4. What is d rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*x + 3*x. Suppose 0 = -x*g - g - 5*k + 5, -k = 3. Sort g, 3, -3 in descending order.\nAnswer: g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -321425356?\nAnswer: -321425355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289582, -289577, -289578, -289585?\nAnswer: -289598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -0*m. Suppose -m*p + 4*p = 6. Let k be ((-3)\/(-45))\/(2\/p). What is the third smallest value in 5, k, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12099 (base 12) to base 4\nAnswer: -11323311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 31*k - 27*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, 0.2, -452, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) - (-36)\/8. Let u(h) = 4*h**3 - 5*h**2 - 4*h + 21. Is u(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42148474?\nAnswer: 2, 17, 1239661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 divided by -1?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6666 (base 7) to base 11.\nAnswer: -1892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 52926*b + 52942*b = -150, 4*z - 4*b = 48 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24555503.3 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 6*d - 3. Let y be w(-10). Let s = y - -23. Find the common denominator of -7\/12 and 363\/s*4\/(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 9*r + 10*r - 8*r - 8*r. Let m(n) = n**2 - 18*n. What is v(m(f))?\nAnswer: -9*f**2 + 162*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147755873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 303406 + -3033?\nAnswer: 300353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9*j = 4*j + 2069, 4*r - 5*j - 4183 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/60 - a**5\/30 - 7*a**4\/4 + 15*a**3 + 136*a**2. Suppose j(b) = 0. What is b?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 108 = 0. Let q be 1\/2 - 66\/(-4). Suppose -2*f + q = -1. Calculate the greatest common divisor of k and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 9*b + 2. Let g(o) = -o**2 - 12*o - 2. Let j be g(-11). Let s be d(j). Suppose -5*y + v + 725 = -s*v, 4*v + 145 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-3) + (-2)\/6. Suppose -y + c = -1. Calculate the greatest common divisor of y and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 34. Let w = -80 - q. Let u be (-4)\/(12\/(-17)) - w\/(-3). Solve u = -0*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 + 2*o**5\/15 + 2*o**4 + 440*o**2. Factor k(w).\nAnswer: -w*(w - 12)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -8*c - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*l - 170 + 148 = 0, 4*s - 16 = -4*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:02 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*m**2 - 20*m**2 - 5*m - 16 + 56*m**2 wrt m?\nAnswer: 20*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 17*j + 131. What is the tens digit of w(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72435995 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2574*z**2 - 5144*z**2 + 2578*z**2 - 2*z + 1. Suppose -2*o + 36 = 10. Let g = -12 + o. What is n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -28. Is u\/(-132) + (-17770)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -3\/4 (c) -198 (d) 3\/28738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 14*n**2 - 7. Let h be o(-14). Let l = h - -12. Suppose j = -l*w + 148, 149 = 4*w + j + 30. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let b(m) = -236*m**2 - 38*m + 36. Let s(o) = 472*o**2 + 86*o - 81. Let l(x) = -9*b(x) - 4*s(x). Give n(l(u)).\nAnswer: 55696*u**4 - 944*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -57?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-56))\/(16\/112)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (1 + (-4)\/2). Let r = d + 17. Suppose r = g - 27. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6*1.439.\nAnswer: -8.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, and 1 m when three letters picked without replacement from emgeegegegggeeaeggme?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*1*6. Suppose -10 = -i*z + 2*z. Solve 3*o - z = 4*o - 2*w, -o - w - 1 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnh when three letters picked without replacement from hnnnhnnnnnnnhn?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3266?\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054469263 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3+1086867\nAnswer: 1086870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mppmm. What is prob of sequence mm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0 + 1\/6*p**3 - 1\/8*p**4 + 12*p**2 + 0*p. Give g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20*k**2. Let m(r) be the first derivative of 0*r - 1\/2*r**2 + 8. Determine m(y(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 5*f + 22)*(-3*f - 2*f + 4*f) + 5*f**2 - f**2 - 2*f**2 to a + g*f + v*f**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-325)*1521\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + j**2 + 45*j - 86. Let y be v(6). Put 5, 2, 0, -2, y in increasing order.\nAnswer: -2, 0, 2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 7\/(14\/(-108)). Let s = 87 - t. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 - 449. Let l = -218 + c. Round l to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1159*w**2 + 3*w + 3. Let j(s) = 2*s**2 - s - 1. Calculate 3*j(b) + z(b).\nAnswer: -1153*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 18. Let a(k) = -29*k + 1. What is a(y(s))?\nAnswer: -58*s + 523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 2*z - 875. Find the common denominator of 1 - 2*(-69)\/(-60) and (z\/(-4))\/(570\/19).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38343 + -38342.6. Let j be ((-2)\/5 - 0)*-5. Suppose -j*v - 3*m = 17 - 0, -3 = v - 4*m. Which is the biggest value? (a) v (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from xnln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 835 and -5094.\nAnswer: -4259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4377, 17511, 39409, 70077, 109521, 157747?\nAnswer: 214761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -h + 90, p = -2*h - 0*p + 182. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4116 is divided by 199.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*o**4 + 118 - 13 + 3*o + 101*o**4 - 203*o**4 to w*o**3 + h*o**2 + m*o**4 + p*o + d and give d.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7304847 and 14609694.\nAnswer: 14609694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/22 - (-5 - (-48)\/22). Suppose 4*t = s + 2, -s + 4*t + q = 5*t. What are the prime factors of s\/(-6) - 562\/3*-1?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, l: 4}. Give prob of sequence rll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1924\/9 + -214. Which is the third smallest value? (a) l (b) -0.1 (c) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let m(h) be the first derivative of -123 + 13\/2*h**2 + 0*h. Give y(m(x)).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 662062.6 - 0.2\nAnswer: 662062.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, 2093, 4499?\nAnswer: 6905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**3\/3 - 7*v**2 - 8*v - 3. Is g(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9103.\nAnswer: 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210403044?\nAnswer: 2, 31, 47, 379273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/(z*z**(-10)*z)))**(1\/12))**(2\/5))**38 assuming z is positive.\nAnswer: z**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -7654, 0.09, 6?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6\/5*m**3 + 4\/5*m**2 + 2\/5*m**4 + 0*m + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -55*g**4\/24 + 137*g**3\/6 - 15*g**2 + 5. What is the tens digit of n(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:58 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6*q - 5. Let x be w(7). Let u(f) = -12*f**2 + 38*f**x - 14*f**2. Let y(m) = -4*m. Give y(u(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*f - 4*l, 3*f + 4*l = -0*l + 152. Let a be (2 - 216\/f) + 2. Put -1, a, -0.5 in decreasing order.\nAnswer: a, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*d*n**2*y + 4*d*n*y + 701*d*y + 4*n*y wrt n.\nAnswer: -22*d*n*y + 4*d*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -23*w**2 - 10*w + 16. Let g(i) = 84*i**2 + 40*i - 63. Let c(s) = 3*g(s) + 11*l(s). Let q be (2\/5)\/(2\/40). Calculate c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -1142 + 1147 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14681 divided by -53.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(6) - 1*sqrt(864))*2)\/(sqrt(3) - (sqrt(132)\/sqrt(4))\/sqrt(11) - sqrt(9)\/sqrt(3)*-6))**2.\nAnswer: 6050\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -128. Solve 3*i - 13 = 5*m, s*m + i + 13 = -16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*y + 5 - 0, 3*y = 4*v - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 21. Let p(x) = 2*x + 12. Calculate -6*o(w) - 13*p(w).\nAnswer: -2*w - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = 2. What is the least common multiple of 14 and o\/4 + (-343)\/(-28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2 - 9*g. Let n(j) = 5*j**2 - 4*j. Calculate 9*n(h) - 4*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 15*q - 15. Let c be g(-14). Let o be -3 + 400 - (c - 1). What is o rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000395 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 1 + 1 + m + 1 + 1. Suppose -4 = 3*n + 2. What is the remainder when 22 is divided by b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + f + 4, -9*f = -2*k - 8*f + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(208\/(-240))\/(-13)*-14\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -115 (b) -64 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.9558 from -0.24781.\nAnswer: -28.20361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15201113 - 34?\nAnswer: 15201068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y + 3*r + 66, 3*r = -5*y + 54. Suppose -8*u = -y*u + 64. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 410.2875 + -406. Let m = -0.007 + 4.307. Let x = m - k. Round x to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4 - 13. Suppose 2 + t = r. What is the second derivative of -3*x + 3*x + r*x - 17*x**2 + 26*x**2 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*p + 6. Suppose -j = 2*j + 6, -2*y + 24 = -j. Calculate the least common multiple of p and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1695041745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8141288 to two dps.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -8*q + 6930. Let i be (-7)\/(q\/144) + 2\/5. Suppose -36*a = -38*a. Is i not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-388)\/97*(-12)\/(-8)*(-11623)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220746749 to the power of 1\/2, to the nearest integer?\nAnswer: 14858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -0*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1082, -1080, -1078, -1076, -1074, -1072?\n\"Answer: 2*n - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**5 - 190*i**4 - 2415*i**3 + 580*i**2 + 6820*i - 4800 = 0.\nAnswer: -10, -2, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1124 + 1144 - 3389 + t**2 + 1136)*(2*t**3 + t**3 - 2*t**3).\nAnswer: t**5 + 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 541450151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 204 (b) -5 (c) -243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13559123 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and -559.125?\nAnswer: 577.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + -27 + 18 + 4 + 24?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*h - 10, -k = 4*h + k - 12. Suppose 2*s = -h, -2*s - 23 = -3*n - 4*s. Calculate the smallest common multiple of n - (1 + 0)*0 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 475, 420, 345, 250, 135?\n\"Answer: -10*s**2 - 25*s + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200163784 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1. Let o(a) = -a - 13. Let j = -1 - -2. Let s(u) = j*o(u) + 5*z(u). Let p(d) = -d**3 + 9*d**2 - 9*d + 3. Let t be p(8). Determine s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2, -1\/780, 1 in descending order.\nAnswer: 23, 1, -1\/780, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 474*y - 478*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 42 - 7)*(-i + 169912 - 60*i**2 - 169912) as f + q*i + j*i**2 and give q.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3746*h**3 + 4*h**2 + 18*h + 4. Let k be s(-9). Round k to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 8 + 7)*(6 - 2 - 2)*(-8*p + 3*p - 2*p)*(5 + 1 - 3) to h*p + f and give h.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.62 - -62.661. Let t = -0.041 + l. Which is the second biggest value? (a) t (b) 2\/3 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3040\/2688)\/(-19)*208 - 6*(1 - 3)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(18)\/sqrt(3)*6)\/((sqrt(3) - sqrt(18)\/sqrt(6)*-3)*4)*3)**2*-1.\nAnswer: -81\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 23*i**3\/3 + 682. Let s(j) = -3*j + 2*j + 3*j. Calculate o(s(a)).\nAnswer: 92*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5237026*p + 793353 with respect to p.\nAnswer: 5237026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.2221269 + -72.7778889. Let h = 19.9 + 114.1. Let a = d + h. Round a to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 > -379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**2 + 2*p**2 + 3*p**3 + 15*p**2 - 30*p**2.\nAnswer: 3*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuvvuuuvhvuv. What is prob of sequence uhu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217401200 or 217401202?\nAnswer: 217401202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058776445.\nAnswer: 3, 5, 11, 19, 656707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264485*p**5 + 975877*p wrt p.\nAnswer: 5289700*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*o + 346 - 690 + 342 to b*o + l and give b.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2524 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*i**3 - 85*i**3 - 159*i**3.\nAnswer: -209*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-4) + 2)*-4. Let u be ((-2)\/(-4))\/(j\/36). Let w be (-2)\/(u\/(-30)*2). Solve -5 - w = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 14*w - 7. Suppose 7 - 42 = 5*z. Let y be q(z). Let l be 4\/14 - 12\/y. Solve l = 3*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + 36. Calculate the remainder when p is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 + 1728\/5*z**2 + 6\/5*z**4 + 39*z + 1\/50*z**5 + 144\/5*z**3. Factor x(p).\nAnswer: 2*(p + 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003166411775 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 583864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10260 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-12)*2460\/(-1435).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 24984.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7 - -3) + (1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 267973 = -422734 - 55907. What are the prime factors of y?\nAnswer: 33937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 3232*m**2 - 1292*m.\nAnswer: -m*(m + 646)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(8\/36). Suppose -5*o = a + g*a - 119, -160 = -5*a - 4*o. Find the common denominator of (28\/a)\/((-1)\/(-8)) and 38\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:35 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155 + 25\/(-5) + 2.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by 123.\nAnswer: -284\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 1, f: 1, e: 1, p: 4}. Give prob of sequence wfx.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -258989 divided by 1\nAnswer: -258989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.301489l?\nAnswer: 8301.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 + (-344)\/(-12) + 2. Let f = j + -25. Factor 40*g**3 + 4*g - 76*g**3 + f*g**2 + 38*g**3.\nAnswer: 2*g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to -0.0766448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16246836*g**4 + 261695755 with respect to g.\nAnswer: 64987344*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 515034638215.32 + -515047538013.6199876. Let m = n + 12899874.3. Let v = 76 - m. Round v to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-0.07774\nAnswer: 0.093288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 9}. Give prob of sequence zcz.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -8*d - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 5*u - 336 = 0. Calculate the smallest common multiple of 24 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 4*p**2 + 1 - 16*p**3 + 12*p**3 - 2. Let n(d) = -3*d**3 - 4*d**2 - d. Let u(m) = -3*n(m) + 2*q(m). Let v be 2\/(-7) - 26\/7. Calculate u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsgfsvvo. Give prob of picking 1 v, 1 f, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27409831573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/20*-2*(-7130)\/(-19964).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*z = 8, -3*z + 1 + 5 = 0. Suppose 0*m = -g*m - 204. Let b = m - -29. Sort b, -2, 0.1, 4 in descending order.\nAnswer: 4, 0.1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 93 - 83, 3*t = -4*p + 115. Solve -p*u - 12 = -28*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(242)) - ((2*sqrt(8) - sqrt(2))*5)**2.\nAnswer: -447 - 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*f*s**3*x - 2*f*s**3 + f*s**2 + f*s*x - 2*s**3*x + 23*s*x wrt s?\nAnswer: -72*f*x - 12*f - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let d(k) = 1. Suppose -5*p - 339 + 369 = 0. Suppose -8*j - 2 - p = 0. What is j*l(a) + 2*d(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -15*l. Solve l = -5*f + 2 + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 15654531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**5\/4 - 7*j**4\/4 + 4*j**3 + 6*j**2 - 7*j. Determine o, given that y(o) = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8982097 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -823348 and -1646695\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15350407.\nAnswer: 23, 251, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:08 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgunuagaadu. What is prob of picking 3 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 4. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 28601388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 9*v**5\/10 + v**4\/12 - v**3\/6 + v**2\/2 - 12*v. Suppose 6*x - 3*x = 3. Is u(x) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1548055080 to the nearest 100000.\nAnswer: 1548100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(3*u + u - u) - 2*u + 8*u + u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - j - 173, 0 = l + 2*j - 53. Suppose 2*q = 5*c - l, 0 = 3*c - 5*q - 26 + 7. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616688717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 - 114. Put z, 4, 131 in increasing order.\nAnswer: 4, z, 131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 41. Solve 1 = z*d + 2*f - 27, d = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d1 + 60?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 658, 10, 1 in increasing order.\nAnswer: 1, 3, 4, 10, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 92. Put -1, -4, l, 0.2 in descending order.\nAnswer: 0.2, -1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 3. Let f(b) = b - 6. Let y(d) = 3*f(d) + 6*k(d). Let i be y(-3). Solve 4*x + i + 11 = 0, 30 = -2*q - 4*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.762478 micrograms to tonnes.\nAnswer: 0.000000000001762478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 394 + 30\/(-10) + 8\/2. Suppose 4*a + a = l. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -13.284 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/5)*i*i*i*i)\/i*i)**(-21)\/(i*i\/((i**(1\/2)*i)\/i))**16*((i\/(i**8*i*i))\/(i**(-1)*i))**(-49) assuming i is positive.\nAnswer: i**(1644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 223 = -j, m = 2*m + 2*j - 58. Suppose 4*c - m = -8. Suppose -4*w = 4 - c. Is 2 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-13 - (6 - (5 - -5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = 48. Suppose 5*o + l = -57, 2*o - 10*l = -11*l - 21. Let j be o\/14*4\/n. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 9*t + 1304 = 779 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (78\/2)\/(-3 + 6). Let x be (-1 - 0) + j\/1. Suppose -252 = -4*o - p - 3*p, 0 = -3*p - x. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355740 divided by 3630?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bcb - -2a?\nAnswer: 1c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204077 or -204076?\nAnswer: -204077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1263 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*b + 19, -298*m - 4*b - 11 - 15 + 8 = -296*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84258555 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h*h**(1\/9))*h\/(h**(-2\/11)\/h))**24 assuming h is positive.\nAnswer: h**(3224\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 7*r + 8. Determine y(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/11)\/((-1)\/(-4)). Let m = b + -12. Suppose 5*g + 5*z - 34 - 616 = 0, -m*g + 2*z = -496. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, 2, -12\/35, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 2*l. Let k = 9 - 7. Determine q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58543 * 0.4.\nAnswer: -23417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - 4*j**2 - j + 2. Let c be x(-1). Let a(r) = 869*r**2 - 432*r**2 - 436*r**c. Let w(p) = -10*p**2. What is w(a(m))?\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + (-4 + -2 + sqrt(405) - (sqrt(405) + 2)*-3))*-4)**2 + -5.\nAnswer: 207360*sqrt(5) + 3746875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2475203.69 + -1.253201.\nAnswer: 2475202.436799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.1 + -10. Let v = 87.11 - 2.11. Let b = -64 + v. Is b <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0461110245 rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4 - 205*b**3 + 64168*b**2 - 254180*b + 253344 = 0.\nAnswer: -377, 2, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5477 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 + 28124565*s**3 - 39549459385830*s**2 - 276847425058400*s - 237297937548000 = 0.\nAnswer: -6, -1, 2812460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3. Let z(w) = -2*w + 51. Let p(g) = -102*f(g) + 6*z(g). Let h(s) = 4*s. What is -17*h(l) - 6*p(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 10*k**2 + k - 2. Let g(d) = 4*d - 30. Let w be g(10). Let x be a(w). Let m be 18\/x - 16\/64. Let n(u) = 2*u**2 - 2*u. Give n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 11) in base 5?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 + 10 = t, a = 5*t - 21. Find the second derivative of -w**2 + w**5 - 7*w**5 + a*w**5 + 3 + 18*w - 6*w**5 wrt w.\nAnswer: -160*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o**2 + 36*o**2 + 31*o**2 + 2*o**2 + 2*o - 2*o + (o + 5*o - 4*o)*(-4*o + 3*o + 3*o) + 0 + 0 + o**2)*(4 - 4 - 2)*(-4 + 1 + 1).\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5b83 (base 12) to base 10\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p = p - 605 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 3\/2455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -2*m. Let b be 22\/5 + m\/10. Suppose h - 8 = -3*h + 5*j, 0 = 3*h - b*j - 5. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 1 + 0*s - 3 + (0 - 2 + 0)*(-s + 3*s - 6*s).\nAnswer: 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 335 - 329. Solve 2*p + 4*y + s = 0, 2*p + 2*y - 1 = 5*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 22*q - 4052 + 30*q**3 + 36*q**3 + 680 - 63*q**3.\nAnswer: 3*q**3 - 2*q**2 - 22*q - 3372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**3*x**3 + 11*c**3*x**2*z - 3*c**2*x**3*z - 42*x**3 wrt z?\nAnswer: 11*c**3*x**2 - 3*c**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 127*b**3 - 72*b**3 + 72*b**3 + 2*b - 3*b.\nAnswer: 127*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/3634 and -17\/92.\nAnswer: 7268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjtwttcctytttcjyyt. What is prob of sequence bt?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -28*f**2. Let o(v) = -21*v - 23*v - 22*v + 44*v. What is o(w(g))?\nAnswer: 616*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-1)*x)\/x)\/x)**45\/((x\/(x*x**1))\/x**(1\/7)))\/((x**(2\/5)*x)**42*x**(1\/2)*x*x**(1\/5)) assuming x is positive.\nAnswer: x**(-1461\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 2\/7, -4, 0.5, 856?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7645688 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/226 and 59\/8.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30454, 58417, 86380, 114343, 142306?\n\"Answer: 27963*q + 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2832 + 2831.5. Which is the closest to 0? (a) 6 (b) 0.2 (c) 13 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6242.552cm in meters?\nAnswer: 62.42552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*j**2 - 23*j**3 + 71*j**2.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 194210685 divided by -38842137\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8731228*l**3 + 964788927*l?\nAnswer: -52387368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181.1 - -173. Let v = 12 + -4. Let m = v + r. Which is the smallest value? (a) m (b) -2\/11 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/558480 and -113\/2233920.\nAnswer: 2233920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9)*(-3)\/24*-9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -30.8 (c) 0.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 5*t)*(-42*t**2 + 183 - 357 + 177) as m*t**2 + g*t + p + d*t**3 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*b + 26 = 0, -4*b + 0*b + 116 = -5*s. Let r(k) = k + 34. Let d be r(s). List the prime factors of 218 - (42\/(-30) + (-6)\/d).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnnp when four letters picked without replacement from nmjpujnppjmmu.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from tctqctctctctccqqc.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1212 - 1212. Which is the biggest value? (a) 0.5 (b) x (c) 62 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**3)\/((o*(o\/(o*o*o**3\/o*o)*o)\/o)\/o))\/((o*o\/(o\/(o**(-5)\/o))*o)\/o**(1\/10)))**(-13) assuming o is positive.\nAnswer: o**(-1703\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 25755.\nAnswer: 77265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 341.89 (c) 3 (d) -5 (e) 2\/169 (f) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176111\/6 - 29440. Let o = z + 89. What is the nearest to 0 in o, 3, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7817509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3972698420676\/6877 + -577678992. Let w = k + 2031618837\/137540. Let h = w + -14766. What is the common denominator of h and -13\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244.1 + 244. What is the closest to 0.1 in 0.4, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(152)\/(sqrt(8) + (sqrt(512) - (sqrt(512) - 4*sqrt(512))) + sqrt(8)) + (-5*4*sqrt(475) + 2)**2.\nAnswer: -13599*sqrt(19)\/34 + 190004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (93 + -113 - 26) + 37?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2*646\/(-152))\/(2\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3549, 14174, 31893, 56712, 88637, 127674?\nAnswer: 173829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 383 + o**2 - 124 - 112 + o - 114. What is m(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-11)*i)\/i**19 assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -727*a**3 - 374*a**2 + 3*a + 1041222839 wrt a?\nAnswer: -2181*a**2 - 748*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7420*a**2 + 2150*a**2 + 4035*a**2.\nAnswer: 13605*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 1062 = 417. Are -87 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175223712*z**5 + 45*z**2 - 2*z - 54093 wrt z?\nAnswer: 10513422720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.037*0.1.\nAnswer: 0.2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 610*b**2 + 9*b + 10. Let n be j(-1). Let d(m) = 8*m**2 + 21*m - 1. Let f be d(-5). What is the highest common factor of f and n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*n - 21 = 0, 0 = 2*c - 4*n + 15 - 37. Suppose 2*s + c + 1 = 0. Let k(h) = h**3 + 7*h**2 + 7*h + 3. Let q be k(-6). Is s at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 23, 0, -0.085, 846 in ascending order.\nAnswer: -0.085, 0, 0.1, 23, 846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 15*w - 47.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5\/4 (c) -2416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/4*(-66)\/(-8745)*53.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2925, 5849, 8773?\nAnswer: 11697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/14 and -63\/2404.\nAnswer: 16828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -32. Let o = -7 - k. Let z(t) = -t**3 + 5*t**2 - 4*t. Let d be z(4). Solve -r + 3*r - o = d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 8)*(138 - 274 - 675*h**2 - 2*h + 134) as t + m*h**2 + w*h and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253185193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:23 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 + 26*m**3 + 26*m**3 + 2*m - 63*m**3 - 226*m**2.\nAnswer: -3*m**3 - 226*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uial when four letters picked without replacement from {w: 1, i: 1, t: 1, a: 2, l: 2, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3787\/(-1623) + 4\/(-6))*(-130)\/30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 215*r**2 - 374*r - 11145. Give s(213).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.10043, 0.1, -4, -0.1.\nAnswer: -4, -0.10043, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -8. Let d(w) = 0 - w**2 + 3 - 2*w - m. Let u(q) = q**3 + q**2 + 1. Let t be u(-2). Determine d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/20)\/(9\/(-12)))\/(((-30459)\/2970)\/(-71)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 7*v**2 - 7*v + 11. Let u be i(-7). What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 18*a**2 - 20*a + 69. Let t be h(6). Let b = t - 399. Calculate the highest common divisor of 132 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 2606 + 2320 = 0 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 104 = -14*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 6529884?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11573564 or 11573565?\nAnswer: 11573564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210088 - 210088 - 5*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 16 = 5*b - f, 0 = -3*f + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 14 = 4*d, 3*j + 15 = 4*d - d. Let l = 1 - -1. Find the third derivative of 4*v**3 - 3 + d - v**l wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmulqmmm. Give prob of picking 2 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/4 - 3\/(-6). Suppose -1 = -l + d*i - 6, -7 = 2*l - 3*i. What is the smallest value in -2\/7, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6151.363l to millilitres.\nAnswer: 6151363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 9*v. Calculate u(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -2\/5 (b) -7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/21)*g*(g*g\/(g\/(g*g\/g**(2\/47))))\/g assuming g is positive.\nAnswer: g**(4000\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from tttttiiitt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 22 - -19) + (-37 - -1) + 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 76, 2, 3, 269 in decreasing order.\nAnswer: 269, 76, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41340103 (base 6) to base 10.\nAnswer: -1194951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/((-24)\/(-27) + -1). Let c = m - 95. Suppose -2*n + v + c = 3*n, -4*n - 5*v = -84. Calculate the remainder when 78 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90\/4)\/(-9)*-26. Let r = -29 + c. Suppose 34*g = r*g - 44. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2290 + 1805*t**3 - t + 787*t**3 + 4*t**3 wrt t?\nAnswer: 15576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5 + 20*o**4 - 52*o**3 + 28*o**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {i: 2, c: 1, f: 2, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, y: 2, l: 1, d: 1, z: 3}. Give prob of picking 1 c and 1 z.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001746141 rounded to six decimal places?\nAnswer: 0.001746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Suppose i*o + 1 = o. Is 1\/3 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232\/159 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 7, -9, -41, -95, -177?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 10162.84 grams?\nAnswer: 0.01016284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37642 (base 10) to base 9\nAnswer: -56564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -111 + 28. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*f + 4*f. Let a(h) = 2 - 7 - 6*h - 6. Let q(o) = 2*o + 4. Let p(y) = f*q(y) - 4*a(y). Let r(d) = 4*d**2. What is p(r(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 24. Suppose 4*x - j = 2*x. Suppose x*a - 106 = -4. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5076.7328 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 35*l - 33. What is h(9)?\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1649520 by -3480.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by (-1005)\/(-45) + 20\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 0*m**4 - 4*m**4 + (1 + 2*m**2 - 1)*(0*m**2 + 2*m**2 - 3*m**2) + 0 + 0 + m**4 + 5*m**3 - 5*m**3 - m**4 + 4*m - 4*m + 9*m**4.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 362 and 2288240?\nAnswer: 414171440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**7\/840 + i**6\/96 + i**5\/30 + i**4\/24 - 25*i**2\/2 - 41*i. Let a(j) be the first derivative of n(j). Factor a(t).\nAnswer: t*(t + 1)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42677334\/5*p + 37940149926\/5 + 2\/5*p**3 + 16002\/5*p**2.\nAnswer: 2*(p + 2667)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -5, -1, -755, 0, -19 in ascending order.\nAnswer: -755, -19, -11, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11906 - 10903. What is the highest common factor of 51 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*l + 92*l = 197*l - 272 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tto when three letters picked without replacement from {m: 2, o: 1, h: 2, t: 2, p: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584523 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: Find the third derivative of -4*b**5*z + 52724*b**4*z - 73*b**2*z - 3*b*z - 23*z wrt b.\nAnswer: -240*b**2*z + 1265376*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, 1341\/4, 1, 2.\nAnswer: -2, 1\/3, 1, 2, 1341\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4462\/(-115) + (-9964)\/(-212).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 238 = 4*f, 0*f - 2*f + 134 = -4*t. Let u = -60 - -84. Let q = f - u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - j**3 + 9 + 0*j**2 + 8*j**3.\nAnswer: 7*j**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*f + 2511 = 1200*f - 4457 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23954, 23903, 23850, 23795, 23738?\nAnswer: 23679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016127573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 90. Suppose i*a - 8 = -3*z, -4*a - 4*z + 7 = -a. Solve -a = 2*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2)**24 assuming y is positive.\nAnswer: y**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571678, 2286725, 5145144, 9146935, 14292098?\nAnswer: 20580633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 5. Let m = o + 60. Suppose m = 9*v - v. Let x(r) = r - 4. Let w(g) = -4*g + 13. What is v*w(l) + 7*x(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43853*i**3 + 2183*i**2 + 519843070*i wrt i.\nAnswer: 263118*i + 4366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*c + 72, 14 = 5*c - 4*c + y. Suppose -f = 4*f - c. Differentiate 3 + 4*u - u - 3*u - f*u with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9094*n + 749. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + 2*a**2 - 2*a + 4. Let r be (-4)\/(2\/(-2) - -2). Let o(k) = -3*k**3 + 2*k**2 - 3*k + 5. Determine r*o(t) + 5*m(t).\nAnswer: -3*t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76607\/84 + 912. Is 1 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123307 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 157, 160, 165, 172, 181, 192, 205?\n\"Answer: p**2 + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*((-3*x - 6*x - 2*x)*(3 - 4 + 0) + (2*x - 4*x + x)*(-1 + 3 - 7) - 6 + 6 - 2*x) to the form o + c*x and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.105 times 774?\nAnswer: -47295.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1347.758 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-21) - (-1755)\/3549?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 3a?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (sqrt(252) + sqrt(252) + sqrt(252) + 6*(-1 + sqrt(252)) - sqrt(252))) + 1 + (sqrt(252) + (sqrt(252) - sqrt(252)*1) - sqrt(252)) + 3 + 4)**2.\nAnswer: -29952*sqrt(7) + 583312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -481344*f**4 + 27046*f + 6.\nAnswer: -5776128*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 782966 greater than or equal to 782966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/54 + 2*x**3\/27 + x**2\/9 + 4*x. Let r(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34323 = -3*u - 3*b, -u - 2*b - b = 11435. Let h = u - -160283\/14. Calculate the common denominator of h and -59\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/3396177 and -89\/15.\nAnswer: 16980885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/23 (c) -2\/3 (d) -3 (e) -5 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -408 - -590. Let w = g + -89. What is the greatest common divisor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2, 0 in increasing order.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17*w**3 - 15*w**2 + 3*w - 14. Calculate o(3).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)*-2 + sqrt(70) + -1*sqrt(70)*3)\/(sqrt(110)\/(-2*sqrt(704))).\nAnswer: -64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 273025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/9)*y)\/y)\/y*y**(-4)\/y)\/(y**(-3\/4)*y**(-2\/11)\/y) assuming y is positive.\nAnswer: y**(-1523\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11457 and 7638.\nAnswer: 22914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(125)*1 - 3*2*sqrt(125))**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4635 + -4637. Sort q, 1\/6, -0.3, -5, 5 in ascending order.\nAnswer: -5, q, -0.3, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141669009.\nAnswer: 3, 3527, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*s - 115*s - 4*l = -1, 13 = -5*s + l. Sort s, -5, 29 in decreasing order.\nAnswer: 29, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - 55*o - 314. Calculate x(-8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1*r**(-2\/19)\/r*(((r**3*r)\/r)\/r)\/r**9*(r**0\/((((r*r**(-8)*r)\/r)\/r)\/r))**30 assuming r is positive.\nAnswer: r**(4995\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 259 - 183. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-10)\/(-6))\/((-180)\/(-1026)). What is the third biggest value in 1, -1, 0.5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29696, -29705, -29748, -29843, -30008, -30261, -30620?\nAnswer: -31103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6994.436 decades to millennia.\nAnswer: 69.94436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:58 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 5, -3\/5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76185, -152370, -228555, -304740, -380925?\nAnswer: -457110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -828325 - 0?\nAnswer: -828325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/165, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 5901194696.67.\nAnswer: 5901194691.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -84*c + 10. Calculate n(2).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638531310 to the power of 1\/2, to the nearest integer?\nAnswer: 51367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j)**(-23)\/(j**(1\/2))**8*((j\/j**5)\/j)\/((j\/(j\/j**(-1\/5)))\/j)*(j**1)**(2\/129) assuming j is positive.\nAnswer: j**(-29746\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 1. Suppose x - 2 = -3. Let f be (x + -11)*(-15)\/(-10). Let t be (-3 - f\/3)\/1. Give b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-45)*((-3348)\/24)\/31?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -12\/577 (b) 5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and -0.3.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27459317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246291201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1910 and 245435?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, 64, 2, 4\/7 in decreasing order.\nAnswer: 64, 2, 4\/7, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -3, 2, 11, 188 in ascending order.\nAnswer: -4, -3, -1, 2, 11, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-5)))\/f*f*f**3*f*f*f\/f**(1\/2)*f*f*(f\/(f\/((f\/((f\/((f*f\/f**1*f*f)\/f))\/f))\/f*f)*f))\/f assuming f is positive.\nAnswer: f**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x + 1. Let a be (-3)\/(-1 - (-2)\/(-4)). Suppose -3 + 1 = a*z. Give f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.032 (c) -0.3 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4037 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 3 + (-22)\/14. Let h be -53*(8 + (1 - 6)). Let p = -476\/3 - h. What is the nearest to y in 0.4, 0.5, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*h + 149*h + 90. Suppose k + 2 = -h. Calculate the common denominator of 43\/22 and k\/(-80) + 194\/(-160).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20874 or 0?\nAnswer: -20874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Suppose 5*d + 9 = -x, 5*x + 14 = -3*d - 31. Let g be (4\/((-60)\/x))\/(4\/20). What is the third biggest value in g, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (56\/140)\/((-2)\/(-5135))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Put -3, 3, g in descending order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65104 and 44759.\nAnswer: 716144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 + 827.8766. Let d = y + 0.0881. Round d to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.7 + -22. Let f = 27 - g. Let m = 1 - 0.6. Sort f, -3, m in ascending order.\nAnswer: -3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 96357240.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183068 is divided by 704?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 + 8*l**3\/3 - 4*l**2 + 7*l - 10. Let u be m(7). Suppose -3*r + 97 + 188 = u. What are the prime factors of r?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -218. Let d be 2*g\/((-160)\/(-6)). Factor -d + m - 1\/4*m**2.\nAnswer: -(m - 3)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + 13 - (16 - 10) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 7*z - 8. Let p(l) = 10*l**3 + l**2. Let a be p(1). Let o be g(a). What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122011112 - 1?\nAnswer: 3122011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -8. Let w(h) = h - a*h**2 + 4*h - 6*h - 2*h**3 + 2 + 2. List the prime factors of w(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4\/2 - 117*z**3\/2 - 1793*z**2\/2 - 987*z\/2 + 5049 = 0.\nAnswer: -99, -17, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q**2 - q**3 + 2 - 17*q**2 - 17*q**2.\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**3 + 8*v**2 + 12*v + 20. Let d(i) = 3*i**3 - 5*i**2 - 8*i - 13. What is -8*d(z) - 5*x(z)?\nAnswer: z**3 + 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 9*h**2 - 10*h + 7. What is the tens digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 10. Let i = 78 + -91. What is p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) 0.04 (c) -3 (d) -2 (e) -130 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 54*l + 6. Let k be p(1). Calculate the common denominator of 238\/24 - (1 - 0) and (-2 + 57\/48)*k\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - (sqrt(88)*-3 + sqrt(88))*-1 - sqrt(88)))\/(sqrt(80)\/(sqrt(40)\/sqrt(4))) + 1*((sqrt(110) + sqrt(110)*-2)\/sqrt(10))**2*-5*-2.\nAnswer: 3*sqrt(11) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 + 7 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(150) - sqrt(39)\/sqrt(3)*-1) + -5*(-1 + sqrt(13)) + (sqrt(130) + 3*sqrt(130) + sqrt(130))\/sqrt(10).\nAnswer: 6*sqrt(13)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.1, -4\/163, -3 in decreasing order.\nAnswer: -4\/163, -0.1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 23, 72, 141?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5401 + -5401.4. Which is the fifth biggest value? (a) 3\/2 (b) z (c) -5 (d) 9 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 + 5*w - 3. Suppose s = a + 11, -a - 15 = 2*a. Give y(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7410 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -211*l + 4. Let w(h) = -105*h + 2. Determine 3*c(j) - 5*w(j).\nAnswer: -108*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158014477081 - 12290998085025413\/77784. Let x = f - 2\/9723. Find the common denominator of 70\/3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:32 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 5, -17, -3.\nAnswer: -62, -17, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v**2 - 281*v - 12. Let x be a(-20). Let l be ((-2)\/9)\/((-52)\/(-6)). What is the second smallest value in 2, l, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555908 is divided by 5166.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*r = 168, -3*m - 2*r - 155 = 366. Let g = m - -524\/3. Which is the second smallest value? (a) g (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112\/11 - 437\/44. Let o = 0 + -0.2. Let d = -1.8 + o. Put 4\/3, s, d in ascending order.\nAnswer: d, s, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82142897 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = 43. Suppose 2*n + c + 121 = 0. Let i = n - -117. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j + 10. Let p(h) = h**2 - 7*h + 4. Let d be p(8). Let r = -4 + d. What is the tens digit of t(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12044976 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 399*0.11\nAnswer: 43.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:36 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5532 - 34788 = -14*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3725 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664 = 3*o + 1472. Let q = 1599 + o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(720) + sqrt(720)*2 - (-1 + sqrt(720))*-6) + -2)*-3)**2*-4.\nAnswer: -2100096 + 31104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4025 and 1741675.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:21 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -1\/2*l**2 - 1\/20*l**5 - 1\/48*l**4 + 3*l + 0 + 1\/12*l**3. Let g(s) be the first derivative of n(s). Let g(k) = 0. What is k?\nAnswer: -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*3\/(-6)*1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 3\/5, -5, -0.04, -40?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40512309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*h - o + 7, -h - 3*o - 18 = 0. Let d be (-9)\/h*-4*-6. Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.688 - 1.312. Which is the biggest value? (a) k (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 887 and 188466212.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 43*q - 673. Let o be k(-24). Let m(b) = b**3 + 4*b**2 - 6*b - 2. Let v be m(-5). Do o and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 + 19cb9?\nAnswer: 1a02a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1050 + 1049.999999513. What is d rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t**(-17\/4)\/t*t*t*t\/t**(2\/3)*t**(-1\/9)*t*t**(8\/7) assuming t is positive.\nAnswer: t**(533\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6*c = 8 + 13, 2*c = 5*x - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30760345488 + 329*q**2 + 30760345488.\nAnswer: 329*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10880\/(-60))\/(-32)*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*2\/20*-8. Let i be (2*(-6)\/g)\/(6\/6). Suppose 0 = -0*q + i*q - 6921. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14772*k**2 - 305*k + 14767*k**2 - 268 - 602 = 0. What is k?\nAnswer: -58, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22228417 - -1.5\nAnswer: 1.72228417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/20872886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.3 (c) -1\/4 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -20024?\nAnswer: 20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - 91*y**3 - 156*y + 47*y + 63*y + 47*y.\nAnswer: -85*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 110838.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067263 to five decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-370)\/6 + 18\/27. Let v(z) = -41*z + 2. Let x be v(-3). Let u = x + s. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 73, 167, 283, 409, 533?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 37 - (-748 + 758)) + -22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.7 + 19. What is w rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1514 - 1513.5. Which is the closest to 1? (a) -5 (b) -375 (c) -0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 + 333. Let g be ((-38)\/y)\/((-1)\/12). Solve g*z = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 12:31 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-18)*(27\/(-21) + 1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + h = -0*b - 68, -h + 76 = -5*b. Let u be 24\/b*(-8)\/6. Let q(v) = v**2 + 12*v + 11. Let r be q(-11). What is the nearest to u in 1, r, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -562, -562, -560, -556?\n\"Answer: u**2 - 3*u - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28*185\nAnswer: -5180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:08 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 7*v**2 - 4*v)*(-1 + 4*v**2 + 1) to the form y + d*v + m*v**4 + l*v**2 + f*v**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/404 and 1\/19.\nAnswer: 7676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -3, -11, -4, -47, 14, 0 in decreasing order.\nAnswer: 108, 14, 0, -3, -4, -11, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 15*c**2 - 19*c + 51. Let w be v(-14). Calculate the highest common factor of 110 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -8055\nAnswer: -59\/8055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = -6*x + 410. Suppose 5*p = 2*o - 2066, 8*o - 2048 = 6*o - x*p. What are the prime factors of o?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51445*0.2.\nAnswer: -10289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**(-4\/7)*y)\/y*y)\/y*y)\/y*y**(-6\/11)*y**(1\/2)*y*y\/y**(-1\/12)*y assuming y is positive.\nAnswer: y**(3203\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2561*b**2 - 7 + 59 - 18.\nAnswer: -2561*b**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/24*-26*60. Suppose -3*r - 6*r = -z. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 19. Let h(b) = 6*b**2. What is h(u(t))?\nAnswer: 6*t**2 + 228*t + 2166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from {f: 3, v: 1, j: 5, g: 2, h: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791901 divided by 11.\nAnswer: 71991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -710526*q**3 + 2842118*q**2 - 2842160*q + 56.\nAnswer: -2*(q - 2)**2*(355263*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24167 is divided by 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -24. Let b = -2865.2 - -2861.2969. Let g = -0.0969 + b. What is the third biggest value in g, -3, -2, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -304 + 306. Let q(g) be the first derivative of 1\/2*g**d + 6 - 1\/9*g**3 + 4\/3*g. Let q(z) = 0. Calculate z.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187865870*d**5 - 49*d**2 - 518710 wrt d?\nAnswer: -11271952200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -731?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -335?\nAnswer: 15\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4550)\/1680)\/((-35)\/28)*-12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -31*m + 27*m + 11*m + 20*m. Let y(x) = -4*x**2. Calculate b(y(t)).\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (15 - (0 + -5)). Let l = -5 - -9. Is (-346)\/l*(m + 48\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -1433443?\nAnswer: -1433413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006549156 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {z: 6, k: 3, s: 2, l: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 160158064*g**2. Let i(x) = -2*x**2. Calculate i(j(h)).\nAnswer: -51301210928456192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1. Let u(i) = -6*i**2 + 3*i**2 + 0*i**2 + i**2 - 1. Suppose 1 + 4 = 5*b. Calculate b*u(j) + 3*n(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*f = -8, -2*l + 0*l + 3*f = -16. Let c(k) = -k**2 + 7*k - 2. What is the remainder when l is divided by c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 23.36?\nAnswer: 11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 q when four letters picked without replacement from cqgqg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/5*14\/42. Which is the closest to -1\/3? (a) 0.01 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21360.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.8 - 3.2. Let d = 15 + h. Let y = 151 + -146. What is the nearest to d in -3\/4, y, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n - 240. Let d(u) = -139*u + 1. Calculate q(d(h)).\nAnswer: -1529*h - 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 8. Let r be k(4). Let d be ((-3)\/3)\/(-2 - r). Which is the smallest value? (a) d (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535012817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-20)*(-10)\/(-105)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2678431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10011100111000 (base 2) to base 4\nAnswer: 2130320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 640 + -603. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3 - 12 - 3*d + 0 + 6. Give p(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 895*g + 59357. Determine u(62).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 8739274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)\/(b*b**(3\/13)\/b))\/(b**(-3\/10)*b\/((b\/(b\/((b*b**24*b)\/b*b)))\/b)) assuming b is positive.\nAnswer: b**(3077\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-40)\/(-150))\/((-2)\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3262270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + p + 385 = 130, -4*h + 503 = 5*p. Suppose -h*r + 1116 = -121*r. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 + y. Let a be q(1). Suppose 4*g - 29 = 3*l + 2*l, 4*g + 3*l - 53 = a. Let z = 80 - g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 - 4*i**3 - 9*i**3 + (2*i + i - i)*(3*i**2 + i**2 - 3*i**2) + i**3 + 0*i**3 - 3*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/15 + 5*r**4\/6 - 47*r**2. Factor p(x).\nAnswer: 4*x*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15033409 to the power of 1\/2, to the nearest integer?\nAnswer: 3877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-3) - (-6)\/(-9). Suppose 3*m = p, -3*a = -0*a + 2*m - 293. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*t**4 + 40542*t**2 - 24*t + 19816349?\nAnswer: -20*t**3 + 81084*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - f + 2*f + (2 - 5 + 0)*((-1 + 1 - 1)*(-2*f + 5*f - 4*f) + f - f + f + 4 + 2*f - 4).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -148, -601, -1370, -2461, -3880?\n\"Answer: -x**3 - 152*x**2 + 10*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8861.\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -2. Suppose -6*k = -c*k + 20. Let x(s) = s**2 - 2*s - 3. Let d be x(-2). Sort d, k, -4 in ascending order.\nAnswer: k, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 367 = -5*d, i - 3*d - 121 = 2*i. Let p = i - -196. Let b = -85 + 103. Calculate the highest common factor of b and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.4. Is u less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 37 - 62*a + 84*a - 36.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-1 + 5 - 1)*(-2*b**5 + b**5 + 0*b**5).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 106393128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*v = -272*v - 5*i + 59, -5*v + 5*i - 105 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -14327.\nAnswer: -2\/14327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -2, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29 - 7\/(21\/(-6)). Solve -3*k = -5*t - u, -5*k - 4*t = t + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w, -16002 = -g + 2*g - 2*w. Let f = g + 256189\/16. Calculate the common denominator of -103\/10 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(((-6)\/(-675))\/(14\/(-168)))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, 7, -3, 1\/4, -0.75.\nAnswer: -3, -9\/5, -0.75, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 0, 4*g - f - 42 = 10*f - 94 - 96 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23\/4 (b) 113 (c) 2 (d) 0.4 (e) 32\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/123 smaller than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let r(i) be the third derivative of i**4\/24 + 149*i**3 + 2*i**2 - 173*i. Give s(r(n)).\nAnswer: n + 894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1833)\/(-234) + 2*1\/12. Let v be ((-1)\/2)\/(q\/(-128)*4). Solve 0 = d + 3*s + 2*s + 14, 0 = -5*d - v*s - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2\/11*p**4 + 4\/11*p**2 + 0*p - 2\/11 + 0*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.2 - -23.2. Let n = -2 + -1. Let y = -2.9 - n. Which is the biggest value? (a) y (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -10 - 0. Let x(m) = m**3 - 6*m**2 + 5*m. Let k be x(n). Let f = 2653\/11 - 241. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*18\/(-88)*(-26)\/(-39)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 75.5745 times -1.8\nAnswer: -136.0341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8\/7)\/w*w)\/w)**(11\/7) assuming w is positive.\nAnswer: w**(-165\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55974173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*p + 28, k + 5*p - 4 = -2*k. Suppose 3*z - 2*o + 3 = -k, 5*z + 14 = -o. Which is the nearest to -4? (a) 0.5 (b) -2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + b = -6, 0 = 5*t + 48*b - 53*b + 10. Let m = 2 + -4. Let h be (-5)\/m*(3 + 1 + t). What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b5 (base 15) to base 14.\nAnswer: a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 9:19 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6*j - 296 = -3*p, 0 = 3*p + 5*j - 320. Suppose 4*o - 20 = 0, 2*l - 3*l = -2*o + 57. Let u = p + l. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49279706 by 2.\nAnswer: -24639853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15547 - -15867. What is the highest common factor of 1420 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*j - 4*j + 238, j - 575 = -5*h. Calculate the smallest common multiple of h and 22.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1407 divide 8030987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 21 + (2 + -3 + -12 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 947516807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from pjpjppp?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-12 + -3 - -11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1604*u**2 + 12480*u**2 + 9603*u**2.\nAnswer: 23687*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/(d**(-14)\/d*d)*d)\/d*d*d\/d**(2\/27) assuming d is positive.\nAnswer: d**(484\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8+-516445\nAnswer: -516437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -57\/8, 139 in decreasing order.\nAnswer: 139, 1, -3, -57\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1934*304\nAnswer: 587936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5217 and -0.4?\nAnswer: -2086.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 19*x**2 - 9*x + 6. Let r be s(10). Is 17 a factor of r\/6*51 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13*b**2 + 4953*b**3 + 4956*b**3 - 9 - 9911*b**3 - 42*b**2.\nAnswer: -2*b**3 - 55*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2876 and 1044707.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*b - 280, 2*i + b + 0*b = 103. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5.7, -0.2, -0.4 in decreasing order.\nAnswer: 12, 5.7, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 1, u: 1, a: 2, p: 2, j: 1}. What is prob of picking 1 j, 1 u, and 1 p?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11\/3 (b) -40 (c) 1\/5 (d) 2 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 76*b - 264.\nAnswer: 4*(b - 3)*(b + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + -1 + sqrt(468) + -4)**2 - ((sqrt(468) - (sqrt(468) + -1*sqrt(468)))**2 + -4 + sqrt(468) + (-5*(sqrt(468) + 1))**2 + -4).\nAnswer: -11692 - 366*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - 1896.6720855613.\nAnswer: -1916.6720855613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 4*k + 5. Let w be s(6). Let i(b) be the second derivative of b**5\/20 + 2*b**4\/3 + b**3\/3 - 3*b**2 + 2*b. Is 16 a factor of i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + 4 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 11*o - 10. Let a be c(-12). Suppose 0 = j + a*j - 861. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncn when three letters picked without replacement from cmhssncchccgmgmnc?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-19 - (-95 - -52)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(0\/(-5) + -1). Let z be 4\/20 + (654\/(-120) - -6). What is the biggest value in z, 1, u, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/15)\/(5\/1)*(-5)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = 5*q + 15, -2*q = a + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (6 - (3 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -61. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111642 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 13*v - 3. Let k be s(1). What is the highest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 520869814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let o = 12 + -39. Let d = o + 54. Let w(z) = -27 + 3*z + d. Calculate m(w(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 45*v + 304. What is l(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739 <= 27191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.1, 0, 0.19, -78039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 0 + 64 + 6 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let t(z) = 2*z**2 - 5*z + 28. Let h(d) = -10*d**2 + 21*d - 154. Let i(r) = 2*h(r) + 11*t(r). What is i(l(j))?\nAnswer: 18*j**4 + 39*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/99331750 and -34\/29799525?\nAnswer: 297995250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/(((-150)\/20)\/(-15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*d + 6*d + 81 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056809 is divided by 18639.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3950*u + 7128 = -3686*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1094729550 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16482024.\nAnswer: 2, 3, 13, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbvbblvbvblrllerbb. What is prob of sequence vle?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 6*t + 10516. Let f(b) = -3*b**2 + 10*b + 15775. What is 5*f(j) - 8*k(j)?\nAnswer: j**2 + 2*j - 5253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 7. Let q be x(-6). Suppose 1 + 8 = -9*y. Let s(d) = 5 + 6*d + 0*d + d. Let l(j) = j + 1. Calculate q*l(k) + y*s(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = n - 8, -4*d - 2*n + 18 = -n. Suppose -129 = -4*q + d*x, -q = 2*x + 3*x - 51. What is the remainder when q is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4353911 less than 0.3?\nAnswer: 2.7353911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {h: 3, p: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861, -860, -859, -858, -857, -856?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3030*l = -3052*l - 613 - 69 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 727 + -335. What is the common denominator of (m\/(-320))\/(4\/10) and 101\/(-4)*2\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/240 and 603\/(-268) - (-208)\/66.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1017.7 - -1015.7. Sort -5, -3, -1.58, 2, y in decreasing order.\nAnswer: 2, -1.58, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/81)\/(32\/(-192)). Let t be 2\/20 + (-1)\/2. Let i = -28 + 27.8. Put i, b, t in descending order.\nAnswer: i, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 24*u**2 - 17*u + 57. Give b(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 6*q - a + 4*a, 0 = 5*q - 4*a - 71. What is the highest common factor of 1265 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.3 (c) -0.2 (d) 2\/5 (e) 11\/5 (f) 0.038 (g) 472\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/(-612))\/((-885)\/1800 + (4\/(-5) - -1))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -747 - 33516?\nAnswer: -34465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 8:29 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*s = -44, -56*s + 61*s = 0. Solve -6*m + k = -13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 3*q**2 - 3*q + 5. Suppose 24 = -3*c + 4*b, 0 = 5*c - 0*b - 2*b + 26. What is the units digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54756 and 335127?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4337\/760 - 37\/152. Let r = 33\/7 + -5\/14. What is the common denominator of b and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2970 and 161\/1700610?\nAnswer: 168360390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/(-8)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -349107601*l**3 - 553258663?\nAnswer: -1047322803*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwcggcgcc. What is prob of sequence ggcw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (974\/(-952))\/((-6297)\/92356)?\nAnswer: -2\/357","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 884*b**2 - 24648*b - 2922. What is c(28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41849, 167412, 376695, 669698, 1046421, 1506864?\nAnswer: 2051027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.165, 2\/23, 2\/13, -0.01, 0.3?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35761.\nAnswer: 11, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305589228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - -225. Let d = 257.6 - w. What is the smallest value in -0.5, d, 2\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 5117?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 4 - 4*q - 4. Let v(a) be the third derivative of a**6\/360 + a**3\/2 + 4*a**2. Let s(u) be the first derivative of v(u). Give s(f(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (832\/1040)\/((-8)\/(-6)*-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245015151 + -215?\nAnswer: 245014532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (320\/(-320))\/(2\/38)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/67 (b) 1\/6 (c) 2 (d) -1 (e) -0.09 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 665 = 745. Suppose -y = 68 + 77. Let q = -89 - y. Calculate the greatest common factor of n and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 12444?\nAnswer: 12403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = 3*q - 1, -3*q - 2 = 2*c. Let u = 1 + c. Suppose -2*t = -u*t - 14. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 912 and 33516?\nAnswer: 134064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -8*j**3\/3 + j - 1. Let a = 18 - 24. Let i(p) = -17*p**2 + 2. Give a*i(y) + 13*x(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, y: 2}. Give prob of sequence wwwy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = 3*i + 4*v, 3*v = -4*i + 9. Let x be 2\/6*383 - i\/(-9). Suppose -x = -9*l + 5*l. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:59 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2447232 + 6?\nAnswer: -2447224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 14*f - 7 = 0. Let b(i) = -14*i + 1. Let p be b(f). What is the greatest common factor of 33 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 0*j)*(-2*j**3 + 3*j**2 - 3*j**2) + 4*j**4 + 3*j**2 - 3*j**2 + 0*j + j**4 + 0*j.\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1756 (b) -2\/11 (c) -4\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286504 divided by -236.\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 79. Let r = j + -47. Let y = -0.1 - -0.6. Which is the third smallest value? (a) y (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x + 3. Suppose -24 = -h - x*h. Suppose h*m - 50 = -0*m - 2*z, m - 2*z - 10 = 0. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 980054, 1960233, 2940402, 3920555, 4900686?\nAnswer: 5880789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:32 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*t + 107*t + 286 = 0. Solve 2*l - t = -5*w, -4*l - 4*w = w - 32 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 43. Suppose -3*s - 3 = -0*s, 4*z = s + 53. Let k be j(z). Let n = 139 + k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 14, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182290430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (26\/(-22))\/(-1). Suppose 97 + 164 = 261*h. What is the closest to 2\/7 in h, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 7*u - 37 - 35 + 72.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1479 (base 11) to base 6.\nAnswer: -12445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21422020 (base 5) in base 15?\nAnswer: -3a125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 722571 - -16.494?\nAnswer: 722587.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19063 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3472 + 4 - 21*(-7)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from xhcue?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 935, 930, 913, 878, 819, 730?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 946764 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, f: 1, t: 1, u: 1}. Give prob of sequence tf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.86 + 5.83. Which is the second biggest value? (a) -2 (b) 1\/2 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 25 - 43 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 198, 206, 214, 222?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 2. Let f be t(3). Let h be f + (-3)\/((-6)\/16). List the prime factors of (1 + h)\/(2 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(108)\/sqrt(3))\/sqrt(12))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20216 and 86716.\nAnswer: 3295208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 5*n - 3*n + 18 + 0*n. Let z be y(8). Solve 1 = -z*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40866.21um to nanometers.\nAnswer: 40866210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 775200 divided by -4.\nAnswer: -193800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1058799*m**2 + 4 + 1058801*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20*d**3 + 7*d + 5. Let i(x) = 2*x**3 - 2*x - 2. Let p(v) = a(v) + 3*i(v). Calculate p(-2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22\/15 of a century?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25536 = 125*m - 26661 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + n - n - 6*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-11))\/(169\/507). Sort f, -1, 2\/3, -0.1, 0.05.\nAnswer: -1, -0.1, 0.05, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:15 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:56 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947441069.\nAnswer: 947441069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 23016?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 4, 2*l = -3*m + 26. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280035 divided by 1905.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -3.7. Let b = 3.9 - m. Let z = 1.04 - 0.04. Sort b, z, -1\/2 in increasing order.\nAnswer: -1\/2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 40. Solve 5*w - 18 = d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 3 = 0. Is -2\/49 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 3*h - 2. Suppose 3*c = 2*c + 4*m - 9, 0 = c + 4*m - 15. Let r(w) = -w**2 + w + 1. What is c*f(o) + 8*r(o)?\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(-1 - 1 - 1) + (1 + 2 + 0)*(-2 + 1 - 1))*(1 - 1 + 3)*(3*m + m - m).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*m - 173, -920 = -5*f - 4*m + 3*m. Let v be (-4 - -7) + 1 + (-3 - -1). Find the first derivative of -11 + 183*d + 2*d**v - f*d wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00222451 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -8. Let h = -3465.996 + 3474. Let q = h - o. What is q rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 16) to base 13.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(u**3 + 3*u - 3*u) - 4*u**2 - 4*u**3 + 4*u**2 + 8 - 8 - 37*u**3 + (-1 + 1 - 1)*(-3*u**3 + 4*u**3 - 2*u**3) + 2*u**3 + 2*u**3 - u**3.\nAnswer: -35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 10*n + 0*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 8. Let t be h(-12). Let q be (-8 - -9)\/(1\/408). Suppose -b + 2*b - 4*c - q = 0, -5*c - 1610 = -t*b. Round b to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116006451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*u + 2352816 + 641233 - 291069 = 0. Is 172 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -142*t - 2099. Determine d(-26).\nAnswer: 1593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16180459693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.5, -4, -1, -2, 0.55?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4885998*z**4 - 15382882*z wrt z?\nAnswer: -58631976*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 2024 (base 6) in base 5?\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -170\/167 in -0.2, -5\/4, -3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13*h + 36 = 0. Suppose h*q + 5*t = 211, -q - t = -3*t - 56. Calculate the smallest common multiple of q and 16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1018812 divided by 339604\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 432 = -2*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o)\/(o\/(o*o\/(o**(-14\/3)*o)))*o\/(o\/(o\/o**6))*o*o**(4\/9)*o assuming o is positive.\nAnswer: o**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(272) + 3) + 3)*-3)**2 + -3.\nAnswer: 1296*sqrt(17) + 22353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 9. Suppose -k + 24 = 5*q, 4*k - k - 24 = -u*q. Determine i so that 8*i + i - 3*i + 2 + 10*i**2 + 2*i + k*i**3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -983*w. Let q(z) = -70*z - 95*z + 166*z. Determine j(q(u)).\nAnswer: -983*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2628 - 620. What are the prime factors of j\/(-6)*(-2)\/(24\/54)?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221238360 to the nearest 100000.\nAnswer: -221200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (36\/18)\/(32\/(-20))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a = -24. Let j(c) = -c - 5. Let b be j(-7). What is the second derivative of 2*g**b + a*g - 2*g**2 - g**5 + 0*g**2 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/23)*l*l\/((((l*l**(-17\/5)*l)\/l)\/l)\/l))\/(l\/((l*l\/l**1)\/l)*l**21*l) assuming l is positive.\nAnswer: l**(-1929\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 6, 21?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2797, 6147, 10049, 14509, 19533, 25127, 31297?\nAnswer: 38049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111279, -444912, -1000977, -1779480, -2780427, -4003824, -5449677?\nAnswer: -7117992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*a - 480*a - 767*a = -20416 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10*i = 77. Let b(w) be the first derivative of w**3\/3 - 4*w**2 + 7*w - 2. What is b(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 14*k - w - 50, 5*w + 15 = 0. What is the highest common factor of k and 7422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -574, -2265, -5080, -9019, -14082, -20269, -27580?\n\"Answer: -562*d**2 - 5*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 14) to base 15\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 161*t + 2068. Determine f(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 369*f + 370*f = 15, 5*w + 4*f = 32. Solve 2*t - 5*a - 16 = 0, w*t = t + a - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*s - 24 = 0, 0*t + 2*s + 11 = t. Let d be -2 - (0 + t - 0). Which is bigger: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/3)*c*c)**(11\/8)*(c**(-1\/3))**37 assuming c is positive.\nAnswer: c**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**8\/840 + h**7\/280 - h**4\/3 + 9*h. Let s(j) be the third derivative of v(j). Find the third derivative of s(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {i: 3, e: 1, s: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*m = 3*m - 8, 22 = 3*d - 4*m. Calculate the lowest common multiple of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22531687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1\/11, 3\/5, 2\/9, 54 in decreasing order.\nAnswer: 54, 3\/4, 3\/5, 2\/9, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76891421 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f, 5*f = -0*i + 2*i + 51. Let q be (-15)\/i - 4\/14. What is v in 1\/4*v**2 + 0 - q*v + 1\/4*v**3 - 1\/4*v**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7142917 and 15067.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236326832 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**7\/1680 + m**6\/180 - 3*m**5\/4 + 18*m**2 - 1. Let g(s) be the third derivative of j(s). Give g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163.48 - 60.59. Round g to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 8*l + 34. Determine g(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + f**2 + 298*f + 1244. Give v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 15*u**2 - 3*u - 8*u**2 + 8*u - 7. Let p(o) = 10*o**2 + 7*o - 10. Let w(n) = -7*k(n) + 5*p(n). What is the derivative of w(a) wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**24)**(-1) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 - 21*x**2 - x + 6. Let u(g) = g**3 + g**2 + 1. Let d(m) = -p(m) - 5*u(m). Let a be d(16). Are -0.1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2086*p + 2802*p - 200097 = -2523*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905421 is divided by 146566.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.88 rounded to 0 decimal places?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 8*h**2 + 20*h - 16. Let v = 527 - 518. Is d(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2\/3 (b) 2 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/4 + 4885*x\/2 + 4772645\/4.\nAnswer: 5*(x + 977)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 9*k**2 - 8*k + 3. Let l be x(-8). Suppose 0 = 2*i - 3*t - 1 - 21, -2*i - l*t = 2. Solve o + 2 = -2*b + 5, 11 = i*b - o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156780, -627276, -1411478, -2509386?\nAnswer: -3921000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/3 - -68) + 5\/((-4)\/(240\/(-50))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -0.2.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17272 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/3 - 677012*d**3\/3 - 57276228218*d**2\/3 + 955026977800*d - 11939600535000 = 0.\nAnswer: -169278, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + 4\/(-2) + 370003. What is s rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222214012340 - 2?\nAnswer: -222214012342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*(-45)\/(-12)*(4 - 12). Calculate the highest common divisor of u and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/4 (b) 1.9 (c) -1\/3 (d) -12.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 15*i - 10. Let o be l(14). Suppose 3*n + z = -z + 20, o*n + z = 20. Solve 0 = n*y + 5*j, j = -5*y - 2*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/37 + -1283\/407. What is the common denominator of 6800\/480*4\/5 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/33))\/(p*p\/(p\/(p\/p**(7\/3)))))\/(p*p**1*p)**38 assuming p is positive.\nAnswer: p**(-1240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -14*l + f + 110258, 0 = -3*l + 3*f + 16533. 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 2113.021 kilograms in nanograms?\nAnswer: 2113021000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -12. Let t(x) = x**3 - 2*x + 2. Let d be t(2). Let f(j) = 3 + 5*j + d + k*j**2 - 4. Let w(y) = -6*y**2 - 3*y - 3. Determine -4*f(v) - 7*w(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p - 66. Let a be d(-6). Suppose -2*k - 10 = 0, -g + 4*g - 5*k - 511 = a. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6737*m + 20232. Give p(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*b - 60 = 848*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**3\/9 - 10054*s**2\/9 - 3611540*s\/9 - 1031048\/9.\nAnswer: -(s + 718)**2*(7*s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 6*l - 24. List the prime factors of (-4)\/l - (26765\/8)\/(-5).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-14) + 29202\/3255 + -8. What is the closest to -1 in -1, x, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243763 is divided by 5077.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) -3 (b) -25 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w + 9. Let q be i(-6). Suppose -q*p = -11*p + 16. Let u be (-9)\/((-1)\/p*3). Solve 0*s = 3*s - 5*n - 7, -s = 2*n - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -54*w - 286. Let q(u) = -6*u + 114. Let o be q(20). Let a be l(o). Let k be (-19)\/((-5)\/2 + 2). Calculate the highest common divisor of a and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 23 = 4*b - 9*b, b - 2*l - 3 = 0. Let k(s) = s**3 - 5*s**2 + s - 6. Calculate k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(0 + sqrt(147) + -1)*-1*5)**2.\nAnswer: -3700 + 350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*o + 2*o. Let h(c) be the second derivative of 1\/6*c**4 - c + o + 4\/3*c**2 + 2\/3*c**3 + 1\/60*c**5. Factor h(s).\nAnswer: (s + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1222 + 287. Let y = z - 466. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 5, z: 1, g: 1, k: 1}. What is prob of picking 1 l and 1 z?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l. Let t(p) = 73*p**2. Determine t(f(j)).\nAnswer: 657*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -19*y + 1. Let t(s) = 1485*s - 2. What is -2*c(b) - 2*t(b)?\nAnswer: -2932*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/23 less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -111, -233, -433, -735, -1163, -1741, -2493?\n\"Answer: -4*m**3 - 3*m**2 - 31*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/288, -0.06509, -0.19, -2\/11?\nAnswer: -0.06509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 32 = 10*x. Suppose -f + 6 + 2 = 2*t, x*t = -4*f + 20. What is the smallest common multiple of f and 1548?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14841 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 11. Determine g(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.413554.\nAnswer: -0.1240662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q + 5*q)*(1 + 0 - 2)*(-2*q + q - 5*q)*(396 + 375 + 485) as a + r*q + g*q**2 and give g.\nAnswer: 37680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141133148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 461 + 1677 = 0. Calculate the common denominator of -43\/4 and a\/60 - (-6)\/45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a93c (base 14) to base 3.\nAnswer: -102020121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26\/53 + -631\/530. Let g(q) = q**3 - 65*q**2 - 63*q - 199. Let p be g(66). Is r at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -888 at least -888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k - 14. Let y(x) = 4*x - 3. What is -2*d(b) + 11*y(b)?\nAnswer: 4*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**5 + 1085029*k**4 - 16*k**2 - 30*k + 5311 wrt k.\nAnswer: -420*k**2 + 26040696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4806760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*q - 32*q - 7*q)*(-3*q**2 + 2*q**2 - q**2).\nAnswer: -70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 108 = 24. Suppose 4*d - m = -2*x, -3*x - 2*d + 6 = -16. Is (1418\/x)\/(7\/14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 11 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 12 = -v, 4*p - v = -3377 + 3362 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480200*y**3 + 5116056680*y**2 - 62645538*y + 191772 = 0. What is y?\nAnswer: 3\/490, 10654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3693*b = -3278*b + 33615 for b.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1211240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*x**5 + 2309*x**2 - 2309*x**2 + x**5 + 0*x**5 - 2*x**5 - 13*x**5 - 1 + 1 + (2*x**4 - x**2 + x**2)*(x + 0 + 0).\nAnswer: 19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33232 (base 4) to base 5.\nAnswer: -13011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(4*i + 0*i - 2*i) + (4 - 4 + 1)*(2*i - 2 + 2).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -41*f + 1030. Let w be j(25). Let b be (-177)\/(-12) - (-1)\/4. Let z = -11 + b. Solve w*d + 17 = v, -z*d + 3*d = 3*v - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) -0.02 (b) -1\/9 (c) -19\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110053 (base 7) to base 5.\nAnswer: -1103441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -40 - 28*k + 14*k + 16*k. Let i be d(22). Let g be (1 - -5)\/((-33)\/(-22)). Solve g = i*s - 5*v, s - 5*v - 2 + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + 241. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 23 = -5*p, m = -4*p - 28 + 7. Suppose 12*t = 10*t + 32. Let s = -16 + t. Sort m, 1, s in increasing order.\nAnswer: m, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*-6*(sqrt(98) + -1)*-1*-1)**2 + -4.\nAnswer: -3276*sqrt(2) + 31917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (74 + -11)*((-72)\/14 + (21 - 15)). Which is the nearest to 1? (a) t (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2371208137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7517992 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, 214?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:45 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let b be 1\/((1\/(-4))\/1). Let h(k) = -2*k**3 - k**2 - 6*k + 4. Determine b*w(c) + h(c).\nAnswer: -2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45130 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582292 is divided by 51030?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 13*t + 7. Let i(s) = 3*s**2 - 6*s + 3. Suppose 0 = -18*a + 124 + 38. Let j(v) = a*i(v) - 4*h(v). Factor j(l).\nAnswer: -(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2, 5*u + 4*y - 572 = -15. What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, i: 1, w: 1}. What is prob of sequence iw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341565*a**2*c**2*k - 2*a**2*c*k - 57*a**2 - 2393*a*c*k - 2*a*c + 281*c**2*k + k wrt c.\nAnswer: 683130*a**2*k + 562*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1328 (b) -400 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/21 - 317966*z**2\/3 - 11128760*z\/21 = 0. Calculate z.\nAnswer: -1112876, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.028 - -68.972. Let x = -69.1 + f. Suppose -15 = -y + 6*y. Which is the nearest to x? (a) 2\/17 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - m - 2*m = 9, -3*m = 4*v + 7. Suppose l + 3 + v = -5*t, 2*t - 11 = -3*l. Let h(c) = 5*c + l*c - 4*c - 3. Calculate h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 24 = 3*v, 16*w = 12*w - 12. Solve 5*x - v = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 11:38 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1074)\/72 + 51\/(-612)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167809823 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07090361873 rounded to three dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 76 = -2*o, 2*b + 139 = -3*o + 4*b. Let j be (o\/(-4))\/(5\/20). Let n = j + -25. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121071*f**3 + 44*f**2 - 897545*f?\nAnswer: -726426*f + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**8)\/n)\/n**1)**(2\/131) assuming n is positive.\nAnswer: n**(16\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-3 - 5)) + (1 + 3 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:20 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 62*q**2 + 4*q + 1. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-309)\/(-4) + (-2)\/8. Suppose 0 = 5*q + 12 - n. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/8, -0.6 in decreasing order.\nAnswer: 1\/8, -0.6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*t + 23838 = 8*t - 255*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (32 - -14) + -14 + (-8 - (23 + -5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-732)\/(-1098))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100011110011 (base 2) in base 13?\nAnswer: 6836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59, 120, 205, 326, 495?\n\"Answer: 2*x**3 + 47*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -479 - -5677\/12. What is the common denominator of 95\/16 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*b - 73*b + 21*b - 150*b - 5*b)*(0*b + 0*b + 2*b**2).\nAnswer: -590*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 17*r**2 + 8*r + 5. Let x be g(8). Solve -4*l = 4*c, 20 = -3*l - x*c + 7*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165.6 + 160.6. Let s = -8 - -9.4. Let n = 0.4 - s. Which is the closest to n? (a) -2 (b) j (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 50912096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 + 3)*(-721*d**2 + 721*d**2 + 90*d**4).\nAnswer: 180*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*a + 14, x - 691*a - 698*a - 1 = -1386*a - 4 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*g - 14, 4*b - 15 + 1 = -2*g. What are the prime factors of b\/(-6 - -5) + 496?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24835, 24814, 24793?\n\"Answer: -21*n + 24856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -1455 (c) 2\/3 (d) 1\/3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + 9 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 4*p + 4*p + (-2*p - p + 2*p)*(-2 + 0 + 4) - 2*p + 3 - 3 + (5 - p - 5)*(238 - 25 - 11) to o + i*p and give i.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112602 and 6.\nAnswer: 112602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 3*j**3 - 2*j**3)*(1 - 12*j + 197*j + 192*j).\nAnswer: -754*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*t**3 + 7*c**2*t**2 + 337*c**2*t + 79958*c - 2*t**3 wrt c?\nAnswer: 4*t**3 + 14*t**2 + 674*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*x - 107*x - 181*x + (2*x - 2*x - x)*(2 - 2 - 2) to w*x + f and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = -5*s, 5*d = -2*s + 19 - 1. Suppose -5*l - d*f + 84 = 0, 3*l + 2*f - 42 = -2*f. Calculate the greatest common factor of l and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uufu when four letters picked without replacement from {u: 6, f: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014056 to five dps.\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370d92 (base 15) to base 9.\nAnswer: 4856272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -606456 divided by 16846?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149368109, -298736217, -448104325, -597472433?\nAnswer: -746840541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 19 + 9. Suppose 0 = -u + 2 + 4. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + t**5 - 4*t**5 - 2*t**5 + t**5 - t**5 + 3*t - 2*t**5 - 3*t + (-2*t**3 - t + t)*(-t**2 - t**2 + t**2) - t**5 + 1 - 1 + 133*t**5 - 17076*t + 17076*t.\nAnswer: 128*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - (-3 - 0 - -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -35*a + 77. Is ((a + -5)*2)\/((-2)\/(-541)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 - (55 - 60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48814647 is divided by 1350?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73685915 divided by 475393?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112121202010 (base 3) to base 16.\nAnswer: c800a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let w = 10.97 - 13.05. Let s = w + -2.92. What is the closest to 3\/2 in 4, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 474*n - 3098. Calculate m(5).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3238.6 + 3239. Let p be ((-152)\/(-665))\/((-4)\/10). Which is the nearest to 0.1? (a) u (b) 13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-61)\/915 - 122\/(-30). What is the highest common factor of d and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000012121 (base 3) in base 5?\nAnswer: -31143110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**9*w**(-39) assuming w is positive.\nAnswer: w**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1042, -2090, -3138, -4186, -5234?\n\"Answer: -1048*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 187028 (base 15) to base 9\nAnswer: 2210612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -142 - 33 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - 4) - (-12 + -5 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20903 minus 0.05?\nAnswer: 20902.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3, -5, -228?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + 2*a)*(2*a**4 + 0*a**4 + 0*a**4) - 45*a**5 + 164*a**5 - 367*a**5.\nAnswer: -242*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 213, 840, 1807, 3072, 4593, 6328, 8235, 10272?\n\"Answer: -7*t**3 + 212*t**2 + 40*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:00 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(11)*-2*-4.\nAnswer: -1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let j = 27 - 20. Suppose 6*b + 2 = j*b. Let h(f) = 172*f - 13*f**b - 172*f. Determine h(c(i)).\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*(-40)\/(-12). Let r be 90 - 0*k\/10. Find the common denominator of (-226)\/r - 10\/(-25) and 10\/19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 17. Let r be w(-5). Let h be 1\/4 + (-106)\/8. Let u = r + h. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(-8*15\/2520)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 - 3*b**2 + 0*b**2 + 11*b**2 + 38*b**2 - 9*b**2 + (1 - 2*b - 1)*(-3*b + b + b) - 2*b**2 + 3*b**2 + 2*b**2.\nAnswer: 47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/140 - v**5\/280 - v**4\/56 - v**3\/3 - 3*v. Let y(p) be the second derivative of m(p). Let y(j) = 0. Calculate j.\nAnswer: -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8 + 0 + 0)*(-2 + 0 + 1) + 0 + 2 - 4)*(4*f - 5*f + 3*f) + 33*f - 80*f + 78*f as g*f + i and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2036222 at most as big as -2036055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -27 - (-1154738)\/(26 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7648, 7771, 8122, 8815, 9964, 11683, 14086?\n\"Answer: 19*w**3 - 10*w + 7639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let o be (2\/(-6))\/((-416)\/138 - -3). Suppose -n + 3*w - 9 = -o, -5*w = 15. Let y(b) = b + b - n*b + b. Calculate y(k(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120.8 - -121.8. Suppose 4*h - 2*v - 11 = -1, 3*h - 5*v - 11 = 0. What is the closest to j in 4\/9, 3, h?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 402\/637, 29\/10, -2?\nAnswer: 29\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 9 - 6*m**4 - 3*m**4 with respect to m.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(112) + -1 - sqrt(56)\/(sqrt(8) + sqrt(2)))*-4)**2 + -4.\nAnswer: -8000*sqrt(7)\/3 + 283564\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 2*s + 5. Let u be x(4). Let z = 27 + u. Let y be ((-63)\/42)\/(3\/(-14)). Is y less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q*q**(-1))\/(((q**(-4)\/q)\/q)\/q)**(-30) assuming q is positive.\nAnswer: q**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - 241364*k**2 + 241364*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 26*z + 64*z - 20*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 21, 4, -10 in descending order.\nAnswer: 21, 5, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 5*m + 2*m)*((3*m**2 + 3*m**2 - m**2)*(7*m + 5*m - 4*m) - 4*m**3 + 3*m**3 + 5*m**3) to z*m**3 + c + n*m + j*m**2 + p*m**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2*(-4)\/240*-2). Let o = y - -27. What is the nearest to 0.1 in 4\/5, o, -6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b2 (base 13) to base 15\nAnswer: -2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 - 4*v**2 + 4*v - 7. Let y be u(3). Calculate the greatest common factor of y and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(121) + sqrt(121) + sqrt(121))*-6*1)\/((sqrt(110)*-2*2)\/(sqrt(10) - sqrt(50)\/sqrt(20))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**2 - 1. Let n be d(1). Let a(l) = -3*l**2 + 22*l - 19. Let k be a(6). Let u = k - n. Solve 5*t + u = -7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -3*c + 13. Suppose -c*h + 29*h - 6 = 0. Let f be (0 - -2)*(-3)\/h. Solve f*t = -10 - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 301, 303?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 410 - 410. Let c(r) be the third derivative of y - 1\/12*r**4 + 0*r + 4*r**2 - 1\/6*r**3 + 7\/60*r**5 - 1\/30*r**6. Find l such that c(l) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 225606.678 to the nearest ten.\nAnswer: 225610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 3) + (-1 - (1 - 10)). Suppose -4*t + 8 = 0, -t - f = 4*j - 3. Let k be 3 + -5 + 4 - 0\/j. Solve 3*b - k*b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -29905.\nAnswer: 11962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*b + 9 - 24 = 0, -3*q + b = -3. Suppose 0 = -x - q*x + 5. Let u(h) = -h + 10. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75, 128, 165, 186, 191, 180?\n\"Answer: -8*b**2 + 77*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-63 + 61)\/(60\/396*-20 - 6\/(-2))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m + 9. What is j(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d**3 - 4*d - 6. Let j = -1369 + 1364. Let f(h) = -12*h**3 + 5*h + 7. What is j*f(l) - 6*p(l)?\nAnswer: -6*l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1000101 (base 2) to base 10\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 74*q + 8*q)*(-3 - 1 + 0*q + q) + 3*q**2 + 0*q**2 - q**2.\nAnswer: -58*q**2 + 240*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p - 2*b - 18, -3*p - 2*b - 23 = -15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:11 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -613503*-0.105\nAnswer: 64417.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 7*i + 10. Let q be l(-4). Suppose -r + t = -0*t + 4, 5*t = -r + q. Put 2, r, 0 in descending order.\nAnswer: 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/14 - -1 - (-4)\/14. Let f be (-10)\/k*11\/(165\/18). Find the third derivative of -2*y**2 + 3*y**6 - 6*y**2 - f*y**2 wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + c + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/3*((-18)\/(-12) - 3). Which is the second biggest value? (a) 0.4 (b) i (c) 0.1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 10*k**2 + 2*k - 29. Determine x(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5))**22*(c\/c**26)\/c**13 assuming c is positive.\nAnswer: c**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*i - 269 = 0, -v + 215 = 3*v + 3*i. Calculate the remainder when v is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.161 + 1.161. Which is the third biggest value? (a) -2\/21 (b) m (c) -1\/9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + 3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8954, -8850, -8590, -8102, -7314?\n\"Answer: 12*b**3 + 6*b**2 + 2*b - 8974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/29)\/(1914\/166518)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72565592 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262 and 433217?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 355\/17228 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-4)*76\/7790*82.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 137*i**2 - 19*i - 24. What is the hundreds digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - -524\nAnswer: 524.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2705.5345 + -2047.2434. Let k = t - -4753. Let w = -0.22 + k. What is w rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:33 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(6)*3)\/(sqrt(2) - sqrt(14)\/(sqrt(7)*-1)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2610, -5213, -7816, -10419?\nAnswer: -13022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -27*c**3 + 7*c**2 + 7*c - 9. Let s(n) = -13*n**3 + 3*n**2 + 3*n - 4. Let f(y) = 3*g(y) - 7*s(y). What is the derivative of f(d) wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174986812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304)\/38 - ((-56)\/(-35))\/((-2)\/(-5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6277 + -77?\nAnswer: -6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**4\/24 + c**3\/3 + c**2 - 3. Let v(p) be the second derivative of x(p). Calculate the lowest common multiple of 9 and v(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/7 - ((-377)\/(-27) + -3)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*d + 1476 = 34. Solve 3*u - 2*q = d, 0 = -2*u + 3*u - 5*q - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -489*p**5 + 3*p**3 + 409*p wrt p?\nAnswer: -9780*p**3 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031230103 + -1201?\nAnswer: 2031222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -889.32 + 845. Let y = 0.68 - k. Let g = y - 54.7. What is g rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14679*x + 28194*x - 5*x**2 - 13515*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 319\/17 + -525\/17. Is d at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-1\/4)\/((d*d**(5\/2)*d*d)\/d**(5\/6)))\/(d**(-1\/2)\/d**(-6))**(-1\/8) assuming d is positive.\nAnswer: d**(-191\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5b0865 (base 12) to base 13\nAnswer: -3c78b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/9)\/7*(-9)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f - f + 4*f in the form c + s*f and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41842201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*k = -4*k - 2, -2 = -2*k. Let n(h) = -h**2 + h + 1. Let a(j) = j**3 - j**2 - 2*j - 5. Let x(u) = a(u) + 3*n(u). What is the units digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20460605 (base 8) to base 11.\nAnswer: -2501526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 162076*h\/3 + 648272\/3.\nAnswer: 2*(h + 4)*(h + 81034)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112)*1*5)*-2.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 44 = m. Let x = -19 + m. What are the prime factors of (6\/(-4))\/((-60)\/1880) + x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92 + 83)*(1 + 0 + -2). Suppose -l*m + 3 = -15. Solve m*d + k = -3 - 6, -26 = 5*d - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:19 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 9*z - 48924 = 0. Let b = z - 14119. Is 20 a factor of b\/(-30) - 4\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 3*l**2 - 3*l + 1. Let m be p(3). Let n = m - -11. Suppose 11631 = -n*z + 236631. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + t**2 + 3 + (-2*t**2 - t**2 + 5*t**2)*(6 - 2 - 3) + 2*t**2 - 3 + 3 + 2*t**2 + 1 - 1)*(49 - 22 + 2*t - 26).\nAnswer: 14*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -1 + (93\/(-10))\/(-3). Which is the closest to -1\/2? (a) 2 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:34 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 334758401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -961\/14, -4\/9, 3\/34 in descending order.\nAnswer: 3\/34, -4\/9, -961\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4302.945 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*y + 267958 = -0*y, 5*b - 334968 = 4*y. Suppose i + 240739 = 4*g - 27259, -b = -g + 4*i. What is g rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 8:00 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 - -1433\/5. Which is the smallest value? (a) 4\/7 (b) m (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -52*l + 2. Determine g(2).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1159925 and 559?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 97*f**2 + 37*f - 42. What is the tens digit of k(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose -2*f = 2*f - 24. Let i = f - 4. Solve 3*v - 15 = w, -11 = 2*n - 3*v - i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0 + 0 + 4*v + 0*v + v + (-4 + 2*v + 4)*(-1 - 3 + 6))*(2*v**4 - 4*v**4 + v**4).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 1395*s - 102543. What is v(70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7\/129 (b) -1\/2 (c) -22\/5 (d) -1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1879505939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:43 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52482 - -161006. Is 3\/(3 + (-13)\/(t\/25040)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117997 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69441*u**2 + 491*u**3 + 69441*u**2 + 5*u**3 + 2*u**3 - 4*u**3 + (4 - 4 + u)*(2*u**2 - 2*u**2 + u**2).\nAnswer: 495*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:53 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3526 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 2156 = 90*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 35*d + 133. Let s(w) = -3*w**3 + 8*w**2 + 4*w. Let z(h) = 5*h**3 - 16*h**2 - 7*h. Give d*s(a) - 4*z(a).\nAnswer: a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-53 + 38)\/((-3)\/9). Calculate the greatest common divisor of 1845 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*c + 15, 7*y + 2*c = 4*y + 17. Let u(j) = j**3 - j**2 - 2*j - 1. Let g(k) = -3*k**3 + 2*k**2 + 5*k + 3. What is y*u(n) + 2*g(n)?\nAnswer: -n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 971905 divided by 194381.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1976386832 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0*o - 3989 = -4*x - 3970, -5*o + 5*x = -20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 109, 153, 215, 295, 393, 509?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.223 times 0.7679?\nAnswer: -6.3144417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 > 636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(105)\/sqrt(5))\/sqrt(7).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:05 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-55)\/5)\/22)\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {g: 3, s: 1, a: 4, w: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/1 - 4) + 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 + 9*s**2 + 2*s + 2. Let h(t) = 5*t**3 + 8*t**2 + 2*t + 2. Give -4*g(n) + 5*h(n).\nAnswer: n**3 + 4*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-54 + 36 - (2 + -11)) + -3 + -11\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/5 + 822*k**3\/5 - 41902*k**2\/5 + 525642*k\/5 - 484564\/5 = 0. What is k?\nAnswer: -458, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**2\/2 - 7*s - 3. Calculate v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a15 (base 13) to base 16\nAnswer: -4b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7370.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 - 2*s)*(-2*s + 4*s + s) + 2 + 2*s**2 + 2*s - 3 - s**2 as u*s**2 + l + j*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 402*q - 32972. Calculate m(82).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o - 15 = 0. Let i = o - -10. What is the third derivative of 6*f**i + 2*f**5 - 5*f**2 - 3*f**5 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 438. Is 10 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let l be 1 + (-6 + t)*-1. Suppose 0*i - l*o - 34 = -3*i, 0 = -3*i + 3*o + 36. Solve -2*d - 4 = g, 5*d + i = g - 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 29. Let t = 40 - 52. What is the units digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*a**4))*a**(-1)*a*a)\/(a**(-1\/2)*a**5\/a)*((a*a*a\/a**(2\/3))\/(a*a\/(a\/(a*a\/(a\/(a\/(a\/a**(-1\/5))))))))\/(a**(-3\/2)\/a**(-3)) assuming a is positive.\nAnswer: a**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 + 5*o**3 + 10*o**3 + 10*o**3 + o**2 + 5*o**2.\nAnswer: 25*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 512, -2, -5 in ascending order.\nAnswer: -5, -2, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/552 + (-92)\/1058)\/(114\/108)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let l(f) = 186*f. Calculate u(l(b)).\nAnswer: -34596*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87993834589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/(85\/(-510)). Let g(z) = 2*z - 1. Let l be g(2). Which is the nearest to -3\/8? (a) l (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 0.73, -2261\/2, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(4 + sqrt(325) + -2) - (1 + 1*sqrt(325)*4)))**2.\nAnswer: 1800*sqrt(13) + 32824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 0*d + 1 - 1\/2*d**2. Let l(n) = -2*n + 2*n + 3*n + 0*n. Determine p(l(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4723 at most as big as -188933\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r + 20. What is x(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.292437 millilitres in litres?\nAnswer: 0.002292437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 4*w + 5*w)*(2*w - 2*w + 2*w**2)*(40 - 86 + 21).\nAnswer: -50*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2. Let f(c) = 4832778*c**2 - 2. Calculate f(m(n)).\nAnswer: 483277800*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w + 3*r - 407, -4*w + 2*r + 330 = 0. Let l be ((-41)\/w)\/(1*2\/3). Let s = 7 - 11. Which is the third biggest value? (a) s (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 + 2a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 1396 = -21*h. What are the prime factors of h?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 - 5\/9*k**4 + 0*k + 8\/9*k**3 + 1\/5*k**5 + 3*k**2 + 1\/315*k**7 - 7\/180*k**6. Factor w(l).\nAnswer: 2*(l - 2)**3*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 191? (a) 3\/2 (b) 0 (c) -2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 341*l + 28. Give b(4).\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 8*r + 6. Let i be w(4). Suppose -66*z = -64*z - i. Let l be 33\/5*((-240)\/6)\/(-8). Calculate the highest common factor of z and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2903336 is divided by 315.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2, 21, 0.\nAnswer: -5, -2, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -208, -4, 1, 5.\nAnswer: -208, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25560877 to the power of 1\/2, to the nearest integer?\nAnswer: 5056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from hwywq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeexexexeexx. Give prob of sequence xxx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 less than -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 25*q + 37. Let c be t(-11). Suppose -c*f - f = -u - 326502, 4*f - 261192 = -4*u. What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5210, -5009, -4710, -4265, -3626, -2745, -1574, -65?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.9 + 36.9. Let c = 3.4 - 3. What is the third smallest value in c, -0.2, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(12\/49))\/((-60)\/(-120)) and 61\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6511 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -432 + 434. Let u(w) = -27 + 174*w**o + 27 - 176*w**2. Let g(k) = k + 100. Calculate u(g(b)).\nAnswer: -2*b**2 - 400*b - 20000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-175)\/(-10)) + (-36)\/(-21). Suppose 3*i - 2 = -2*t, -t + 16 = 2*t - r*i. Suppose 5*u = -o + 2*u + 6355, o - 6357 = -t*u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6) + (-506)\/(-276). Suppose 4*n - 18482 = -2*j, -6*n + q*j = -5*n - 4623. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*p - 3 = 24, -3*z = 5*p + 13. Solve 0*t - 3*t = 4*c + 14, z*t + 3*c + 7 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 + 10*m - 10. Let s be o(7). Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/15))\/o**(-5\/3))\/((((o**(-2)*o)\/o)\/o)\/(o**(-3\/7)\/o*o)))**38 assuming o is positive.\nAnswer: o**(20368\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1 - 3 = -i, -5*y + 5*i = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4560aa4 (base 11) to base 14.\nAnswer: 10ba59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19479?\nAnswer: 3, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1047699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/70)\/(264\/(-308)). Let g(f) be the second derivative of r*f**5 + 0 - 9*f**2 - 7\/6*f**4 + 5*f**3 + f. Let g(q) = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8a4ca (base 15) to base 9\nAnswer: 740311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2206410 (base 8) to base 16.\nAnswer: 90d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-3)*(0 + 45\/(-12)). Solve -2*n = 3*i - 6, s = -n + i + 2*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (67 - 67)*(-1)\/11. Solve q = -u, 2*l - 6 = 10*u - 6*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56725.71 to the nearest one hundred.\nAnswer: 56700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(1\/21)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15734669?\nAnswer: 2851, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -42. Sort 5, 3, y, 0.\nAnswer: 0, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478572 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 6, f: 1}. What is prob of picking 3 l and 1 f?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -39*i + 0*i**5 + 0*i**2 - 4\/3*i**4 + 17\/30*i**6 + 0*i**3 + 0. Find the third derivative of g(z) wrt z.\nAnswer: 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -476, -479, -482?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 5, 0.2, -64698?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/5 + 214*o\/5 + 408 = 0. What is o?\nAnswer: -204, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:38 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-10)\/o*o)))\/(o*o*o**9))\/((o*o**(-13\/5))\/(o**(3\/10)*o)) assuming o is positive.\nAnswer: o**(-181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w**2. Let h(z) be the first derivative of 2*z**3\/3 - 14. Give h(u(f)).\nAnswer: 128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3 (b) 5 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.2 + -2.2. Let m = -4975 + 4976. Which is the nearest to -1\/3? (a) i (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*m - 659 = 214 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-13)\/(-130))\/(2\/(-5)))\/((-2135)\/(-63440))\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 1236*k - 561*k**4 + 247 + 593 - 567*k**4 + 594*k**2 + 87*k**3 + 1125*k**4 = 0.\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/1440*304\/399)\/((-6)\/15)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2369, 4746, 7123, 9500?\nAnswer: 11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36063.\nAnswer: 3, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053908 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 2 - g**3 - 2 + (3*g**3 - 2*g**3 + 2*g**3)*(-4 + 0 + 3) to f*g + u*g**2 + j + v*g**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 308*o**2 - 113*o**2 - 36 + 36 + (-5*o**2 + 4*o**2 - 4*o**2)*(-1 + 0 - 1).\nAnswer: 205*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -25 + 9. Suppose -i*z + 2859 = -z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 55*f - 2. Let n be 2\/4 - (-11557)\/2. Let l be (-5 + (-2292)\/18*(-363)\/(-2))\/(-4). Let y(r) = -n + 2*r + l. What is i(y(o))?\nAnswer: 110*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1135712, 2271426, 3407140, 4542854, 5678568?\n\"Answer: 1135714*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 - 274600*g + 113107740000.\nAnswer: (g - 823800)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -16. Solve 0 = -4*c + c - 2*l + 1, 0 = q*l - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:30 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.741839 kilometers to meters.\nAnswer: 2741.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 7) + -2 + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -316, -1148, -2536, -4480, -6980, -10036, -13648?\n\"Answer: -278*q**2 + 2*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144257?\nAnswer: 181, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = -22. What is the lowest common multiple of 6 and 270\/35 - (-4)\/m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 12*c**2 - 8*c - 61. What is x(-11)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 596125830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 + 3.28. What is the nearest to 3 in 0.2, 5\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21412 - 3310?\nAnswer: 13102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + 7\/3. Let z be (9 - 3\/3)\/d. Suppose u + 3*n = 5, 5*n = -z*u - 0*n + 20. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 15*k)*(5*k**2 + 2*k**2 - 5*k**2 + 2*k**2 + 0*k + 0*k + 5*k**2 - 4*k**2 - 4*k**2 + (-k + k - 2*k**2)*(-6 + 2 + 2) - 1 + 1 - k**2).\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 - -92. Let x = w - -136\/9. What is the nearest to -2 in 1, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330244 (base 5) to base 8\nAnswer: 26074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 - 46 - (1 - (3 + -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7840\/50791 - 2\/3907. Which is the smallest value? (a) w (b) 10 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Let y be 120\/22 - (-900)\/1650. Suppose -23 = -3*g - c, 2*c - j*c = g - y. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*o - 24, 5*i - 3 = -o + 12. Let m(v) = v**3 - v**2 + 0*v**2 - v + 7 + v**2. What is the remainder when m(0) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 less than -7.01319062?\nAnswer: -5.81319062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*o + 9, 0 = -k + o - 2*o - 3. Let v = 109\/152 - 16\/19. Which is the closest to k? (a) -0.4 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -54 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:16 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzfjldj. Give prob of sequence jyd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12254379, -12254377, -12254373, -12254367, -12254359, -12254349?\nAnswer: -12254337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**7\/105 + 23*p**6\/120 - 17*p**5\/60 + 311*p**4\/6 - p**3\/6 + 2*p**2 + 696*p - 1. Find the second derivative of s(k) wrt k.\nAnswer: 24*k**2 + 138*k - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 5. Let c(p) = -19*p - 2 - 23*p + 77*p - 17*p - 19*p. Let q be (-24)\/(-32) - 15\/4. Let o be (-1 + 2\/4)*14. What is o*c(x) + q*t(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420066333 to the power of 1\/2, to the nearest integer?\nAnswer: 20496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 20 = 5*a. Suppose a*g + 10 = 54. Find the third derivative of -g + 19*q**4 - 3*q**2 - 1 + 12 wrt q.\nAnswer: 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-1610))\/((-24)\/(-276)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041747 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*o + 322*o - 302176 = 585884. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*k**2 + 22 - 40*k**2 + 80*k**2 - 241 + 8 to the form o*k**2 + f + p*k and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 142, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102387 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-118765)\/30 - (-1)\/(-6). What is s rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 673*x**4*z**3 + 11712*x**4*z**2 - 13*x**2*z**2 + 683032*x*z**3 wrt x.\nAnswer: 16152*x*z**3 + 281088*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 558260 to the nearest 1000.\nAnswer: 558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpppzopppzphpooo. What is prob of picking 2 h, 1 o, and 1 z?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 3\/8, 5\/3, 0.1.\nAnswer: -0.15, 0.1, 3\/8, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*v - 11872 + 3252 - 372*v - 364*v - v**2.\nAnswer: -v**2 - 2*v - 8620","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -20*g. Let d be h(-3). Let v be (1150 - -18)\/16 + -13. Is d greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494777039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3233 and -0.52?\nAnswer: 1681.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n*n\/n**(2\/9))\/(n*n*n*n\/n**0*n)**40 assuming n is positive.\nAnswer: n**(-3541\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-9\/7)*g**(4\/7)\/(g*g\/(g*g**(3\/2))))**14 assuming g is positive.\nAnswer: g**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(21)\/sqrt(3)) - 5*sqrt(35)\/sqrt(5)) + (sqrt(441)\/sqrt(7) - (sqrt(84)\/(3*sqrt(12)) + sqrt(7))) + -3.\nAnswer: -7*sqrt(7)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -71 - 25. Suppose 0 = 4*h - g + 5*g - 144, h - u = 5*g. Suppose h = 3*r - 10. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t**0*t)))**(1\/9)*(t**1)**36)\/(t**(-1\/3)\/t**6*t\/(t**(-2\/17)\/t)*t\/(t\/(t*(t**(-1)\/t)\/t))) assuming t is positive.\nAnswer: t**(6493\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:54 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -c + 5*l, -286 = -3*c + 2*l + 141. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-115))\/((-4)\/(-6)*324\/30).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4393\/10 - 439. Let b = z - 1\/70. Do b and -175 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205016.3134 to the nearest 1000.\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2525522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 6*i**2 + 5*i + 1. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*p - 63*p - 18*p - 16*p as r*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 210, 284, 360, 438?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2341 - -106?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5212\/11 - -474. Which is greater: -30 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {l: 1, s: 1, y: 1, x: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 1. Let y = 20983 + -20852. Is y != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 - 3)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8861, -18060, -27259, -36458, -45657?\n\"Answer: -9199*g + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96755*u + 48255*u + 49689*u to the form m*u + n and give m.\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x. Let z(o) = -305*o**3 - 8*o. What is 6*t(v) - z(v)?\nAnswer: 299*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j**3 - 6*j**2 + 13*j + 9. Let m(d) = -d**3 - d**2 + 3*d + 1. Determine i(s) - 6*m(s).\nAnswer: -4*s**3 - 5*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.703439435 to 3 dps.\nAnswer: 4.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44, -5, -1 in decreasing order.\nAnswer: 44, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27 - -29) + (-1 - -309) + -1. Let n = g - -140. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2228)\/8 + 30\/(-12). Let m = 897 + y. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25 and 1098.3221.\nAnswer: 1098.5721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) + (sqrt(76)*1*-2 - sqrt(76)) + sqrt(76) + sqrt(76))\/(sqrt(180)\/sqrt(5)) + 4)**2 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 5*u**2 + 0*u**2 - u**2 + 29*u - 29*u + (0 + 3 - 5)*(-43*u**2 + 10*u**2 + 178*u**2).\nAnswer: -290*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -29\/102385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-42 - 15) + 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 + (-2)\/(-3). Which is greater: m or -2\/45?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053642759 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: Let l = 10 - 7. Suppose l*b - 2*b = -16. Let h = -11 - b. Solve 5*a + 0*d + 2*d - h = 0, 3*d = a + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5418*t = 5369*t + 1666. Solve 21*x = -t*x - 440 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, -2, 1135, 3, 1346 in ascending order.\nAnswer: -5, -4, -2, 1, 3, 1135, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541\/47 smaller than 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/70 and 92\/75.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-7)\/((-7)\/13). Let g(n) = -n**2 + 24*n - 5. Let a be g(h). Calculate the greatest common divisor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 take away -38?\nAnswer: -2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-5)\/z))\/z*z**(-1))\/((z**(1\/12)*z)\/((z**1\/z)\/z*z)) assuming z is positive.\nAnswer: z**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290404 and 20540.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 17. Let d be b\/(0 + 6\/8)*1. Solve 5*p - d = 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000417519 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h. Let p be i(0). Suppose p*s + 22 = s. Let z = -41 - -59. What is the smallest common multiple of s and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 2*j + 3. Let u be b(3). Suppose -3*v + 73 = -4*m, -2*m - v - 28 = 11. Let i = u - m. What is the remainder when 28 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1598 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12322 (base 6) to base 3\nAnswer: 2112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21556152 and -182.092?\nAnswer: 21555969.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t + 1. Let l be b(2). Solve -39*d**4 + 3*d**3 + 2*d**2 + d**l + 41*d**4 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189086 is divided by 5234?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1333 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from {g: 7, s: 1, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 - 3 = 0. Suppose t*h = 5*d - 35, h + 9 = 5*d - 31. Suppose d*v - 4*v = 10. What is the smallest common multiple of 11 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.24. Let m = u + -0.44. Let h = -0.06 - -5.06. What is the closest to -0.1 in 4, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/177312 and 43\/36.\nAnswer: 531936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 4*k - 4. Let x be i(3). Let t be (x\/(-3) + -6)\/((-2)\/(-18)). Suppose -1220 = -2*p - t*z, -3069 = -8*p + 3*p + 2*z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/48*-4*8\/1. Suppose -z*w + 5*w = -1, 2*w = -3*f - 8. Calculate the remainder when (-192)\/f - (9 - 12) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131097513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-24))\/((-30)\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/3 + 13*a**4\/3 - 31*a**3\/3 + 7*a**2\/3 + 32*a\/3 - 20\/3 = 0. Calculate a.\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 569176*r + 40495164872.\nAnswer: 2*(r - 142294)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from kknkkkkkkkknnnnknk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 0)\/(-5) + 29. Let s = b + -18. Let c(h) = s*h**2 + 4 - 11*h**2 + 3*h**2 + 0*h - 6*h. Determine c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931850.\nAnswer: 2, 5, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p. Suppose p*j = -j + 8. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3 and (-46036)\/(-8160) + 3*4\/30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5\/5 + 624*m**4\/5 + 5667*m**3 - 187194*m**2\/5 + 286872*m\/5 - 25728 = 0 for m.\nAnswer: -134, -80, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -14*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 23*u**2 - 26*u - 24. Let y be h(-24). Calculate the greatest common factor of y and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96)\/64*908\/(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*u = -4, -1 = -u - 3. Suppose f*j = o - 0*o + 15, o + 4*j = 25. What is x in 0*x + 0 + 15\/4*x**3 + 3*x**4 + 3\/2*x**2 + 3\/4*x**o = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*1800\/180\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76646 is divided by 525.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 3. Suppose -3*z = -4*z + f. What is the smallest common multiple of 2 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2316035 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 2613482996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*x + 2309 = 127*x - 3541 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 799 - 637 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 13436550?\nAnswer: -13436550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, w: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -4 (c) 398\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 24 = 3*s - 4*j, 4*s - 61 = 5*j. Let r be s\/15 - (-35)\/25. Solve -5*d + 16 = 4*n, 0 = 5*d - 4*d + 2*n - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 44 = 12. Let a = -12 + y. Let s = 65 + a. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 10 = -29*v. Let m(a) = -a + 3*a + 4*a + v*a. Let q(o) = o + 4*o - 3*o. Determine m(q(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 4*u = 23*d, -8 = -3*d + u. Solve j - o = 7, 4*j + 3 = -d*o - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-7 + -5 - (3 - 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - l + 101818 - 34172, -3*m - 2*l = -101470. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32\/10*(-55)\/(-22) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 578772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j. Let u(m) = -26*m**2 + 1. Calculate d(u(h)).\nAnswer: 182*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, -3, -35\/16, 2\/1903 in descending order.\nAnswer: 2\/1903, -1, -35\/16, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -3, 7 in descending order.\nAnswer: 7, 0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 16*z**5 - 6644*z**4 + 14764*z**3 + 42916*z**2 + 14884*z - 6608 = 0.\nAnswer: -1, 1\/4, 4, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1005*p. Let f(u) = 16*u + 1. Give f(y(d)).\nAnswer: 16080*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -4279664 and -4279668 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5*n + 78105*j**3*n + 4227*j*n + 77*n wrt j.\nAnswer: -20*j**3*n + 468630*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138768.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 65\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*b - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1997 and -428576.\nAnswer: -426579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 93, 266, 603, 1158, 1985, 3138, 4671?\nAnswer: 6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 114*p**2 + 6*p - 2. Let w(t) = -227*t**2 - 10*t + 3. Give 5*d(k) + 3*w(k).\nAnswer: -111*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*6*(-3)\/(-9). Suppose 13*p = v*p + 30. Solve p*f + 2*n = 5*f + 13, -2*f + 5*n - 19 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-100)*21\/(-63)*-145.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 26 = 347. Let s = t + 186. Find the second derivative of -2*i**5 - 79*i**3 + s*i**3 - 15*i**5 + 23*i wrt i.\nAnswer: -340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8630?\nAnswer: 2, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -0.5. What is the nearest to -7 in k, -0.3, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + h + 835 - 822, -h + 23 = -3*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3*v**4\/4 + v**2 + 5. What is the second derivative of j(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63577\/68 + -935. Is m bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -830246\/381 or -2180?\nAnswer: -2180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:39 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 3. Let y(n) = -11*n - 5. What is 5*k(w) - 3*y(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from {h: 1, c: 2, g: 1, o: 2, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 24*d + 1687032 = 192792. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 - (6 + (6 - 12)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -44.09853\nAnswer: 1.7639412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1213201221000?\nAnswer: 1213201220323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 30*i - 6*i + (4*i - 2*i - 4*i)*(0 + 1 - 3) - 5*i + 3*i + 0*i + 3*i + 0*i - 4*i as f*i + m and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10))\/((-121)\/484)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175172*b**5*p + 28*b**5 + 4162365*b**2*p + p wrt b.\nAnswer: 10510320*b**2*p + 1680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000498 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 102*c + 51*c + 49*c + 9 + 0*c**2 in the form o*c + q + r*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/45 + n**5\/20 + 4*n**3\/3 - 7. Let f(a) be the third derivative of h(a). What is the second derivative of f(j) wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101711261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 26*w**2\/9 - 22*w\/3 - 10.\nAnswer: 2*(w - 3)*(w + 1)*(w + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(3 - 1) + 4. Let c(l) = 2*l**2 - 7*l - 4. Let d be c(6). Solve 4*z - 7 = -a + 3*z, -d = -5*a - w*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -14 (c) -4 (d) 5\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11*p + 34*p + 5.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 253 - 244. Suppose 2*l = -4*a - 34, -f*a + 10*a = -l - 8. Let k(q) = q**2 + 8*q - 13. Determine k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14 and (292\/(-32) - -9)*115\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e69 (base 15) to base 6.\nAnswer: -415400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 36011*o - 5365631. Calculate c(149).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/11*-4*(-12)\/80.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18025 and 72615.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 6 - 3*q**4 + 8)*(26 + 56 - 9).\nAnswer: -73*q**4 + 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2602, 2496, 2258, 1888, 1386?\n\"Answer: -66*y**2 + 92*y + 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24431, 8, 11 in decreasing order.\nAnswer: 24431, 11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.34 + -41.34. Let d = t - -40.99999895. What is d rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16518995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 113033538 divided by -1737\nAnswer: -65074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by 115?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/5)\/(4\/(-40)). Suppose i = n + 4. Suppose -s - 8 = -4*q + 140, i = 2*q + 3*s. Round q to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*w + 4718, r = 2*w - 4*w + 4724. What is r rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23925990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 5*a - 33, -l + 3*a - 32 = -3*l - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 93732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d**3 - 3*d**3 + 55801*d**2 + 1 - 55872*d**2 + 9*d**3 + 2*d**3 in the form p*d**3 + a*d**2 + x*d + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 - 12*j**3 - 68*j?\nAnswer: -40*j**3 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/161534 + -8803687\/13568856. What is the common denominator of o and -113\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1686864 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*4 + -2)**2 + 3.\nAnswer: -96*sqrt(13) + 7495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20680, -20698, -20716, -20734, -20752?\nAnswer: -20770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - w - 1. Let m(i) = -29*i**3 + 11*i**2 + 12*i + 11. What is -22*k(f) - 2*m(f)?\nAnswer: 36*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7585.31 and -8?\nAnswer: 7593.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/14 - 3*i**5\/7 + 6*i**4\/7 - 4*i**3\/7 + 146. Suppose r(a) = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 6*f - 2*f, -3*f = 0. Suppose h = -4*g + 84 + 16. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10844286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, 1, -3 in ascending order.\nAnswer: -3, -2, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -97.1726 and 7.\nAnswer: -90.1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 0. Let o = f - -4. Let d be (-4 + o)*(-1)\/(-7). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - 230361?\nAnswer: -230418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 197. Let j be m - (1 - (-1 - 1)). Solve 0*z - i - j = 2*z, -3*z - 12 = 5*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c\/c**3))))**(-1\/31)\/((c*c**22)\/(c\/(c\/(c*c**8)))))**(13\/6) assuming c is positive.\nAnswer: c**(-5681\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let t(y) = 90*y. What is t(o(h))?\nAnswer: 180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let h = 2 - f. Let m = -0.9 + 1. Sort 1, m, h in descending order.\nAnswer: 1, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 2\/7, -3\/7, 7, -1.7, 24\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -12*y + 20, 3*p = 5*y - 10. List the prime factors of (p + -3 + -1)\/(4\/292).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81123049.999814 - 81123118. Let p = -68 - k. What is p rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 664044.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 159917*r**2 - 104167.\nAnswer: 319834*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 39. Suppose 3*c + k = 5*u, 4*u - 3*u - 5*c - 10 = 0. What is the second derivative of u + 2*z - 5 - 3*z**2 - 5*z wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 + 3. Determine t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1140289 is divided by 2258?\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**3 + 1\/10*l**5 - 4 - 1\/4*l**4 - 1\/2*l + 1\/2*l**2. Factor k(w).\nAnswer: (w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*p - 15 = 3*p, 4*h + 4*p = 8. Suppose f = -h*f + 20. What is the second derivative of -2*m**f + 2*m + 2*m - 7*m - m**5 wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 38 = 5*f, -296 + 294 = -l. Let h(y) = y**3 - 7*y**2 + 4*y + 19. Give h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/3 - 6*p**2 - 6*p. What is the first derivative of u(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 0*j**2 - 3*j**2 + (-31 + 9 + 6)*(-4*j**2 - 2*j**2 + 4*j**2).\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = 0, -62*z = -59*z - 10*o - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(24\/(-116)) + 1 + 0. What is the common denominator of ((-9)\/c - 2) + 5 + -1 and 123\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = 42. Suppose x = 2*i - 133. Suppose 5*g + i = -2*b + 474, 4*b + 16 = 0. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/35)\/3*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 4. Let u = 7 - 1. Suppose 6*b - u = 3*b. Suppose -8 = -b*q + 4*q. Determine a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 1 + (35 + -143 - -32).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/120 + 11*n**5\/60 - n**4\/3 - 13*n**3\/6 - 58*n**2. Determine i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -754809.43?\nAnswer: -754794.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/15 + (-4)\/6. Let t = z - -14. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-360)\/(-50) + 2\/(-10). Suppose -b*x + 5*x + 370 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101 + 100?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 4 + 4)*(-6*i + 6*i**2 + 6*i) + 0*i**4 + i**4 + 4*i**4.\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 1. Let b be g(1). Suppose 25 = -4*r + w - 2*w, 0 = -3*r + 2*w - 16. Let d be -2*(-2)\/(r\/(-3)). Solve -d*l - b = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from tccccccctccccccccccc.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 0*a - 5*a - 1. Let y be u(1). Let m(q) = -q**2 - 16*q - 1. Let k be m(-16). Sort 5, k, y in descending order.\nAnswer: 5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 5*b**2 - 7*b. Let i(x) = 5*x**3 - 4*x**2 - 6*x. What is -5*i(z) + 4*k(z)?\nAnswer: -9*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 2*d**2 + 2*d. Let j be (-2)\/(-4) + 374\/(-44) + 7. Determine t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1045 divide 24342805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2 + 3*h. Let w(q) = -434*q. Calculate p(w(f)).\nAnswer: -1883560*f**2 - 1302*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108991.\nAnswer: 108991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 485*n**8\/56 + n**5\/20 - 69*n**4\/4 - n**2\/2 + 4*n - 16. Find the third derivative of w(m) wrt m.\nAnswer: 58200*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76630 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*14*(-18)\/1386*(-506)\/24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3828 is divided by 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.7 - 0.30391?\nAnswer: -44.00391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9098*f*m - 40*f*p - 3*f - 6*m*p - 8*m + 9*p + 3086 wrt f?\nAnswer: 9098*m - 40*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n + 9. Let x be i(6). Suppose 3*g = s + x, 0 = -3*g + 4*g + 5*s + 11. Solve -g*p - 10 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 283.64. Let z = r - 5.37277. What is z rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - 2\/(-2). Suppose -2 = -x*d - 17, 2*r + 10 = -4*d. Let u = -2 + r. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5 - 2 - 8 + 3*c. Let t be b(10). Calculate the highest common factor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398\/10 - (-2 - (-27)\/15) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13250 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v**(1\/17)*v)\/v)*v**12*v**(-1\/2)\/(v\/(v\/(((v**(9\/4)*v)\/v*v)\/v))) assuming v is positive.\nAnswer: v**(693\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -585 + 588. What is the third derivative of -2*s**4 + 28*s**3 + 156*s**2 - 45*s**2 + 34*s**3 - 14*s**q wrt s?\nAnswer: -48*s + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7360366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15768, -15765, -15762, -15759, -15756?\nAnswer: -15753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tah when three letters picked without replacement from awotpoothoota?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3813 = -5*d - 4*g, 3*g + 2*g = 10. Let b = d + -301. Suppose -219 = -u + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*494\/1045*45\/(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -323 - j - 214 + 601. Calculate y(0).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:24 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 14. Let h = m - 3. Suppose -572 + 138 = -h*w - 2*k, -208 = -2*w - 4*k. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19000?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 2 z when four letters picked without replacement from zzwqdqwqpqzpd.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 3. Let q be w(3). Let f(y) = 0*y**3 - 3*y**3 + 7*y**q. Let x be f(1). Sort -3, -1\/8, x.\nAnswer: -3, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6654 and -133\/186?\nAnswer: 206274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h**2 + 24*h**2 + 8*h**3 + (1 + h - 1)*(-890*h**2 - 116 + 116) as a*h**2 + i + l*h**3 + b*h and give l.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157384321 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**4 - 5*f + 18. Let x(t) = -7*t + 6*t**4 + 3*t + 18 - 1 + 2*t**4. Let u(p) = 5*x(p) - 4*z(p). What is the first derivative of u(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*l - 13, -4*l - 15 + 7 = -3*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2386, -2374, -2348, -2302, -2230?\n\"Answer: p**3 + p**2 + 2*p - 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-270)*-15)\/((-7)\/(-658)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(3 + -2) + -21. Let v(j) = -23*j. Let a(z) = 3*z. Let r(s) = g*a(s) - 3*v(s). Let c be r(1). Solve -3*d = 6 + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8113 and 22631.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 188*s**2 + 2*s + 189*s**2. Let v(d) = -5*d. Calculate v(i(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417 + 1027. List the prime factors of d.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 8*c**2 - 12*c**2 + c**4 + 2*c - 64*c**3 + 2*c**2 - 4*c to w*c**3 + f*c**4 + n*c**2 + u + m*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 61.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 times -12682?\nAnswer: -9384.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562607 is divided by 194.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 12 = -5*n, -21 + 12 = -3*n + 3*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -13.06?\nAnswer: -13.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 at least as big as -9405\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1379, 3028, 4957, 7160, 9631, 12364, 15353?\n\"Answer: -h**3 + 146*h**2 + 1218*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.23 (b) 10 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 1, p: 1, g: 4, m: 1, x: 4, v: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/(-1650)*1065\/(-18) and 61\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -39. Let t be -2 + (w + 11)\/1. Solve -5*y - 5*h + t - 1 = 0, -5*y + 5*h = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from xxxxpxvxxxxxx.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 a when four letters picked without replacement from kaakkakakaaakkakka?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58422 and 2694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 0)\/((-8)\/48). Let p(x) = 2*x**2 + 8*x + 4. Let q be p(-6). Let s = m - q. Calculate the greatest common factor of 50 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/805 (b) 4 (c) 1 (d) -154 (e) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.06, -24000, 2, 2\/13 in decreasing order.\nAnswer: 2, 1\/2, 2\/13, -0.06, -24000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = k + 37. Let a(g) = -g**3 - 7*g**2 - g + 6. Determine a(k).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -9*x**5\/5 - 237*x**4\/5 + 674*x**3\/5 - 126*x**2 + 231*x\/5 - 29\/5 = 0.\nAnswer: -29, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 18. Suppose -78*a + 2725 = -53*a. What is the remainder when a is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 - 9*j**3 + 11*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 5. Let p(n) = -n - 4. Let s(i) = -4*d(i) - 5*p(i). Let r(o) = 7*o. Let b(g) = -5*r(g) + 30*s(g). Is b(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/24)*p*p\/(p*p*(p**(-12)\/p)\/p*p)*p*(p\/p**(-5))**(-2\/67) assuming p is positive.\nAnswer: p**(22291\/1608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30680802?\nAnswer: 2, 3, 568163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.4 + 2.6. Let a = 12.2 - u. Put -2, -1, a in decreasing order.\nAnswer: a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. What is the second derivative of 4*z**3 - 22*z - v*z**3 + 19*z + z**3 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 11) + -4 + 0 + (7 - 15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -156539 (b) 1 (c) 0 (d) 0.1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 + 192. Let b(g) = -v*g + 4*g + 9*g + 29*g. Let o(y) = 3*y**2. Give b(o(h)).\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 19*k + 2*k)*(-2 + 3*k**4 + 2).\nAnswer: -48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10121*o**3 - 856*o**2 - 4*o - 36. Let k(r) = -10122*r**3 + 855*r**2 + 5*r + 45. Let l(v) = 4*k(v) + 5*u(v). Find the third derivative of l(n) wrt n.\nAnswer: 60702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (-27 - (-9 - 4) - 10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 21 + 6 = 0. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27236 - -27281. Let x be 2\/(-15) + (-1)\/5. Is x equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.85, -2\/13, -1\/9, -3 in ascending order.\nAnswer: -3, -0.85, -2\/13, -1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -78794.8465 rounded to the nearest integer?\nAnswer: -78795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8, -3*y = -0*g + 3*g - 72. Calculate the highest common divisor of 100 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -36 in ascending order.\nAnswer: -36, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -565ab6 - -4?\nAnswer: -565ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 6*v - 7. Suppose 0*z + z = 5. Let h(l) = l**3 - 4*l**2 - 3*l - 5. Let n be h(z). What is p(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 6 = -2*m, 0 = 2*k + 1161*m - 1156*m - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3 + 8\/15*i**3 - 6\/25*i**5 + 1\/15*i**6 + 0*i**4 + 0*i**2 + 0*i. What is j in v(j) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 5*o + 21 = 0, 8 = c + 2*o. Let r = -1.67 - 26.33. Let b = r - -33. What is the closest to c in b, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -25\/16556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221012 + 2211120?\nAnswer: 21202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*u**2 + 545*u**2 + 422*u**2.\nAnswer: 606*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/80 - -1*(-35)\/(-25).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 9*m**2 - 15*m - 15. Let f be k(-7). What is the hundreds digit of (5421\/4)\/13 + 2\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:12 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, and 1 t when three letters picked without replacement from fftotffffttftt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 4, r: 3, n: 2, h: 1, e: 1}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.57407ml?\nAnswer: 0.08557407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (23 - 3 - (-12 + 17))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/5 - 549*k**3\/5 + 546*k**2\/5 = 0. What is k?\nAnswer: -14, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h - h + 70*h)*(-3*h - 2*h + h).\nAnswer: -320*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/15)*d*d)\/d**(-1\/5)*((d*d\/d**(-2\/9)*d)\/d)**(3\/8))**(21\/2) assuming d is positive.\nAnswer: d**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 64*n**2 + 327*n + 10. What is s(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 100343891768 - 100343891768.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 64?\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 - 7*l**4\/24 + 17*l**3\/6 + 9*l**2. Calculate the remainder when n(-7) is divided by (8\/12)\/((-6)\/(-81)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v)*(4 - 1 + 1) + 2*v - 3*v + 2*v - 6*v + v + 2*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7))\/(4\/(-42)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*o**2 + 683*o**2 - 2*o + 2*o.\nAnswer: 450*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) 2 (c) 0 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986 + 14 = 39*a - 192 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*i - 31 = -2*i, -4*r + 5*i = -32. Differentiate -2*l**3 + 6*l + 4*l**r - 37 + 57 - 44 with respect to l.\nAnswer: 6*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/13 + 62\/65. Let y = 11 - 16. What is the third biggest value in -4, r, 8, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - sqrt(8)*6))**2 + sqrt(2) + sqrt(18)*2.\nAnswer: 7*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 683491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.107 + 24611.171018.\nAnswer: 24611.064018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 129 = 19. Let z = -22 + l. Let a = z + -6. Is a != 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by (4\/(16\/38))\/((-12)\/(-24)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 594 + -585. Solve -y = -5 + a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32861 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1061 - 523. What is the remainder when n is divided by 172?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/50)\/(3\/6). Let n = -13.96 + -0.04. Put g, -2, n in decreasing order.\nAnswer: g, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7286*v - 78*v**4 + 7286*v + (3*v**3 - v**3 - v**3)*(-2*v - 3 + 3) + 5*v**4 - 4*v**4 - 6*v**4.\nAnswer: -85*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -5 (c) 0 (d) -1\/122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 + 55*x - 2*x**2 - 12*x**3 + 0*x**2 + 0*x**4 + 55 - 58*x - 37 to o*x + i*x**3 + f*x**4 + b + t*x**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54229 and 1613633?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 6:12 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 3*l**2 + 4*l + 25. Calculate the remainder when 195 is divided by m(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(3\/(-6))*846\/(-47)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 1840?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.036 - -104.964. Let h = -105 + t. Which is the fourth biggest value? (a) h (b) -1\/3 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147347.\nAnswer: 147347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*p**2 - p - 248.\nAnswer: -98*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 - h + 2*h**2 - 1 + 5*h**2. Let c be w(3). Is 34*(-1)\/(-2)*c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55 - -1b?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2 + (-3 - 2 + 3)*(152 + 132 - 142))*(3*r**3 - 3*r**3 - 2*r**3).\nAnswer: 562*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 + -4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/949 - 2867\/9490. What is the third smallest value in s, 1\/2, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -0.1, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o - 4*o)*(-1039 + 1040 - 15*o + 5*o).\nAnswer: 10*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 254794 and 764?\nAnswer: 509588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*p - 21, 12*p - 8*p = -18*a - 72 - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2647, 2613, 2581, 2551, 2523, 2497?\n\"Answer: n**2 - 37*n + 2683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 not equal to 1042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 7, g: 1, x: 1, v: 1, f: 3, o: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {g: 2, l: 4, b: 2, x: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4166*s**2 - 40*s + 109. Is l(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 56 + 118. Let v = 8 - 3. Suppose 0 = -v*s + 38 + 12. Calculate the remainder when n is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**13\/((s\/s**9*s*s)\/(s**1\/s*s))*(s**4\/s**4)**(2\/21) assuming s is positive.\nAnswer: s**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 67cdd5 (base 16) to base 5\nAnswer: 3220143101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 128*j**3\/7 - 18784*j**2\/21 + 235846*j\/21 - 148996\/21 = 0.\nAnswer: 2\/3, 193\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/79 (b) 247 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 5. Let w be j(-1). Suppose 0*m + w*m = -14000. Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(288) + (sqrt(288) - (-1 + (sqrt(288) - (-3 + sqrt(288)))) - sqrt(288)))**2.\nAnswer: -48*sqrt(2) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-705)\/1880 + 2649\/(-16)*10. Let f = a + 2402. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208d6 (base 15) to base 9\nAnswer: 166563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**5 - 2*n**5 + 0*n**5 + 8 - 8 - 7*n**5 + (-n**4 + 5*n**4 - 2*n**4)*(2*n - n - 2*n).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6480 (base 9) in base 15?\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -249507, -499930, -750353, -1000776, -1251199, -1501622?\n\"Answer: -250423*g + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4\/(4\/(-1)). Suppose 5*c - 2 - 13 = g. Solve -c*r - r = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddlzz. Give prob of picking 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -129*-52.963\nAnswer: 6832.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i**2 - 4*i - 74. Let p be o(11). Does 47 divide (-4 - 15\/(-10)) + p\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186 * -191509.\nAnswer: 35620674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.0146 and 7?\nAnswer: 5.9854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/7 - 814*b**3\/7 - 176364*b**2\/7 - 4251474*b\/7 + 14363757\/7 = 0.\nAnswer: -393, -31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 + 354*d**4 - 3244*d**3 + 8334*d**2 - 5445*d = 0. What is d?\nAnswer: -363, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 561099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 0*x + 338 - 270 - x**2. Let n be y(-9). Solve -4*z + n = -9*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1453 in -3, -31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*d + 2*c**4 + 8*c**3*d - 3866*c**3 - 7*c**2*d - 5*c**2 + 301*c*d wrt c?\nAnswer: 48*c*d + 48*c + 48*d - 23196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 163. Let w be (-48)\/(-32) + i\/(-2). Let u(n) be the first derivative of -n + 1. Let l(q) = -3*q. What is w*u(s) + l(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or -1.01352?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - -1 - (-51 + 78 + (-43 - -6))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 268*a**2 - 3362*a + 556. Give b(280).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(192) - sqrt(2)) + sqrt(18)\/(-1*sqrt(9)).\nAnswer: -7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 218020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpsp when four letters picked without replacement from {s: 1, k: 2, p: 3, g: 1, v: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.77 to zero dps.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 + -123. Let n = 94 - t. Which is smaller: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least 30016855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 13*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let p be (0 + 4\/8)*(6 + 0). Suppose 2*x - 18 = p*n, x = -3*n + 32 - 41. Solve -7*c + x*c + 16 = g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13137.\nAnswer: 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -8518 and -7864 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24*t. Let c(u) be the second derivative of u**4\/4 - 27*u. Give k(c(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54864 and 9648.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 268754 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6))\/((c*c\/(c*c*((c\/(c**(-1)\/c)*c)\/c)\/c))\/c*c)*((c**0\/c)\/c)**33*(c\/c**(2\/3))**(-22)\/(c**4\/(c**0*c*c)) assuming c is positive.\nAnswer: c**(-235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*o**3 + 230*o**3 - 281*o**3 + 437*o**3.\nAnswer: 1115*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 16 = 3*m. Let q be (-30)\/((-4)\/((-1416)\/m)). Is q\/(-150) + 4\/30 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 2049337*h**2.\nAnswer: h**2*(h - 2049337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93835219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2*n**4 - 9*k**2*n + 4*k*n**4 + 58*k*n**3 + 27*n**2 + 2*n wrt n?\nAnswer: -48*k**2*n + 96*k*n + 348*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199.53 + 110.92. Let w = 89 + x. Round w to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 8 = 4*h. What is the remainder when 23 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*1 + sqrt(22)\/(-2*sqrt(11)) + sqrt(4)\/((sqrt(128)*-1 - sqrt(128)) + sqrt(128) - sqrt(2)).\nAnswer: 169*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -638139.7069 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320 - 233300403?\nAnswer: -233301223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69\/(-46) + (-2)\/4 - 8. List the prime factors of -1 + 5908\/35 - 2\/j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*p + 6, 3*p - 2*p - 2 = 2*n. Let f = 2\/37 - -33\/74. Is n greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354\/(-480) - (-12)\/15.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 4*y**2 + 2*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 217*y - 710. Is 20 a factor of v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57954687\/303550 - 1\/23350. Are -191 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3062992 or 3062993?\nAnswer: 3062993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - -163. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 68105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.04, 2, 232, -2\/3, 20 in descending order.\nAnswer: 232, 20, 2, -0.04, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -31949.21592 to one decimal place.\nAnswer: -31949.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.87 - -0.97. Is 0.1021 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 4*x + 3. Let k be v(-2). Suppose 0 = -5*o - c - 3*c + 186, 0 = -k*o + c + 98. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -48*p + 244. What is w(6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243376 and 16?\nAnswer: 243376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttb when three letters picked without replacement from {b: 7, t: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684)*-4 - sqrt(133)\/sqrt(175).\nAnswer: -121*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7959 + -7956. Solve -27 = 5*o + k*p, -41 = -o - 4*p - 60 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 + 3 + (4 - 9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(6\/11)\/(i\/i**(-9\/4)*i)*(((i\/(i**(2\/3)\/i*i))\/i)\/i*i*i)**(-2\/75) assuming i is positive.\nAnswer: i**(-36763\/9900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4222035 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Put 1, 1\/2, r in descending order.\nAnswer: r, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7222, -28856, -64912, -115390, -180290?\n\"Answer: -7211*o**2 - o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/24 and 105\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029766 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10\/r*r)\/(r*r**0)*(r\/(r*r*r**16*r)*r)\/r**(-13) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317478 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Suppose 3*p + 36 = 5*c, -3*p = -0*p + 2*c + 15. Let g(a) = a + 11. Let o be g(p). Let l(z) = -8*z**2 + 2*z**2 + o*z**2. Give r(l(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4350*i + 64172 - 16903 + 84792 = -85439 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 23. Let x(v) be the first derivative of v**2 + 11*v + 1974. Calculate -2*m(h) + 5*x(h).\nAnswer: 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/3*t**2 + 0 - 4\/3*t - 1\/3*t**4 - 5\/3*t**3 = 0 for t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 22. Let d(h) = 64932 - 64922 - h**2 + 0*h**2 + 26*h. What is the hundreds digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2. Let l(w) = 3*w**3 - w**2 + 3*w. Let a(y) = 4*g(y) - l(y). Is a(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 5. Let n(c) = c**3 + 3*c**2 - 2*c - 2. Let u be n(-3). Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 - 7*v + 1. Let i(k) = -17*k**2 + 14*k - 2. Let d = 44 - 40. Let j(c) = d*i(c) + 7*f(c). Let u be j(2). Which is smaller: -37 or u?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = s + 3*s, -4*s = 3*l - 6. Suppose -l*v = 3167 + 347. Let f = -10499\/6 - v. Find the common denominator of f and 10\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:46 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14581, -29271, -44073, -58987?\nAnswer: -74013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 8:03 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -473*t**2\/2 - 764*t - 1128. What is the first derivative of q(y) wrt y?\nAnswer: -473","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 250 + 7?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least -0.032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*k + 2, 3*h + 2*k - 10 - 12 = 0. Suppose 3*t - 3*n = 6, 4 - 2 = -h*t + 2*n. Put t, -2, 3 in ascending order.\nAnswer: t, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2014 * 3\nAnswer: -6042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 - 232.08. Let z = d + 6. Let c = 4.92 - z. What is the second smallest value in c, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let y(w) = 8*w**2 - 2*w - 2. Calculate 5*l(j) + y(j).\nAnswer: 3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 5*s + 7*s + (s + 0*s - 2*s)*(3 - 1 + 0))*((3 - 2 + 2)*(-2 - 3 + 3) + 4 + 0 - 6 + (-12 - 1 + 1)*(-2 - 1 + 4)) to the form u + c*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 464278591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 17\/350*d**7 + 1\/2*d**3 - 1\/10*d**6 + 2\/5*d**4 - 11\/50*d**5 + 1 - 8*d**2 + 0*d + 1\/140*d**8. Suppose w(u) = 0. Calculate u.\nAnswer: -5, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 10) to base 6.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - -1*sqrt(5200))\/(-6*sqrt(18)))\/((sqrt(882) + sqrt(882) + (sqrt(882)*1 - sqrt(882)) + sqrt(882))*3)*3.\nAnswer: -11*sqrt(13)\/1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4233 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9372*h*j**4 - 9*h*j**3 + 23*h*j**2 + 4*h*j - 2*j**6 + j**2 - 2086 wrt j?\nAnswer: 224928*h*j - 54*h - 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-35)\/50)\/(-7)). Let z be -1 + -1 + 5 + 1. Let j be z\/y - 34\/(-10). Solve -j*x - 3 = -0*x, 0 = -2*r + 4*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sctc when four letters picked without replacement from {t: 1, r: 2, s: 1, c: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54088, -108186, -162284, -216382?\nAnswer: -270480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:26 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 2. Let f be y(-6). Let l(z) = -3*z - 28. Let k be l(f). Factor -1\/4*q - 1\/4*q**k + 0.\nAnswer: -q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.04 - -0.04. Let y = 10 - 5. Let s = y + z. What is the third smallest value in -1\/4, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/55 and -53\/6450.\nAnswer: 70950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 13) to base 5\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 t when four letters picked without replacement from atgtgggtatt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 368\/(-69))\/(22\/3)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.0779 (c) 5 (d) 10\/81 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4171492*n - 16363689 wrt n?\nAnswer: -4171492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1987 take away -145251632?\nAnswer: 145249645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.42 and -1896?\nAnswer: 1915.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*w + 2229 - 2225, 2*w = m + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -0.2, -4, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 20*t - 9. What is n(-11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10\/139 - 921\/14734. What is the fourth smallest value in -0.1, 0.4, u, 4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26729672509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - 360\/(-35))\/(12\/14). What is the nearest to 0.34 in -3, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 160074, 159708, 159098, 158244?\n\"Answer: -122*a**2 + 160196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((72\/8)\/108)\/((-2)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -133, -134, -135, -136, -137?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -429 in -4, 1\/5, -0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3128808 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 155, 229, 225, 143, -17?\n\"Answer: -39*u**2 + 191*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(780\/(-16))*1060\/(-424)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v**3 - 17*v**2 + 6*v - 2. Determine p(-3).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-9)\/6)\/((-6)\/(-10)). Factor -2 - 2 - 8 - 40*k - 3 + a*k**2.\nAnswer: 5*(k - 3)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 24*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7827 + -7189. Suppose 193 = 3*q - 5*b, 2*q - 2*b = -7*b + 162. What is the remainder when i is divided by q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50702820 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2.27, 2\/5 in decreasing order.\nAnswer: 2.27, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195555 divided by 87.\nAnswer: -65185\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 523, -5, -4, 1 in descending order.\nAnswer: 523, 100, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1930*r - 9764 = 1929*r - 3*a, -5*r - 4*a + 48743 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -732 and 0.068014?\nAnswer: 732.068014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0) + (-7 - -57). Suppose x = -0*x + f. Let b = -26 + x. 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 = 2*x + z, 129*z = -2*x + 124*z. Sort x, -1, -2, -2\/43 in descending order.\nAnswer: x, -2\/43, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 244485 * -5.\nAnswer: -1222425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-52)\/(-3))\/(6\/(-9)). Let x = u + 34. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12778944 is divided by 1065.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -22*j**3 + 8*j**2 + 4*j - 4. Let p be c(-3). Let z = p + -202. What is the highest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 5 - 13)*(-3 + 3 + v).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5*a - 1. Let w be (-10*a)\/((-4)\/(-10)). Let f = w - -57. What is the smallest common multiple of 4 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 201189 - 201189. Let r(v) = -2*v + 76. Calculate r(s(d)).\nAnswer: 2*d + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-2 - -4)) + 1. Let j be 8\/(x\/70*-1). Suppose 164 = 4*t - j. Is t a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:41 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = -146, 0 = 5*r + 16 - 31. Solve 120*z - 125*z + w = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 36 = -3*n. Is n\/(-3) + 328\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 60. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + 1 - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 - 3*j + 2. Let t be r(-4). Let f = 16 - 18. Which is the nearest to f? (a) t (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:00 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6795 by -9.\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 13 (b) 0 (c) -2\/5 (d) 698\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) -2 (c) 0 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -951.2 - -955.2. Let v = 0 + 0.1. What is the nearest to v in -2\/111, 3\/2, u?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8251 - -12914. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 3102 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 - m**2 - m. Let f be z(-1). Suppose -t + 7 - f = 0. Suppose 0 = 2*l + 2*k - 3*k - 18, t*k + 6 = l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s = -51*s + 82*s + 218379. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.6 - 12. Let f be (-1 - -5)*2\/10. Let k = -4.91 - -2.91. What is the third biggest value in m, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4367 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 30270*r**3 - 2*r - 1. Let i be m(-1). Let d = -13069 - i. What is d rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 39, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-142)\/6 + -1). Let l = 58 + -31. Suppose -3*a = -15, a + l = 2*s + 6*a. Do b and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 44*(-1)\/(-8)) + (-5)\/(-6). Put m, 4\/3, -4, 0.62 in increasing order.\nAnswer: -4, m, 0.62, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 - (-3 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-133)\/5 - (-22)\/(-55). Let w = f - -41. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52534 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/45124 and 113\/21866.\nAnswer: 17011748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/4)\/(4\/(-8)). Put 4, 0.2, f, -1\/4 in decreasing order.\nAnswer: 4, 0.2, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 5*p**2)*((0*p - 3*p + 2*p)*(p - p + 2*p) + 7*p**2 + 6*p**2 + 20*p**2).\nAnswer: -155*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 5*i**4 - i**4 + 0*i - 5*i - i**3 - 7*i**2 + 0*i**4 to the form g*i**2 + z + b*i**3 + t*i + y*i**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1631, 1630, 1625, 1616, 1603, 1586, 1565?\n\"Answer: -2*q**2 + 5*q + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953088 divided by 34.\nAnswer: 28032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(10) + (sqrt(30)*-3)\/sqrt(3))) + 1*sqrt(1210) + sqrt(1210))\/((-6*(sqrt(4) + -2*sqrt(4)))\/(sqrt(22)\/(sqrt(11) + sqrt(44)\/sqrt(4)))).\nAnswer: 25*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = 8*a + 76 + 78 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -19*d - 14. Let n(u) = -13*u - 9. Let c(a) = 5*b(a) - 7*n(a). Let t be 2\/5 - (-54)\/(-10). Is 13 a factor of c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5239834128842 + 8\nAnswer: 5239834128850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*k*q**3 - a**2*k*q**2 - 76*a**2 + 9296109*k*q**3 - 1381*k*q**2 + q**2 wrt q?\nAnswer: 12*a**2*k + 55776654*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 4*m**2 - 5*m - 8. Let p = -118 + 123. Is r(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/3 + 26*u**3\/3 + 68*u**2\/3 - 32*u.\nAnswer: 2*u*(u - 1)*(u + 6)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49321 is divided by 24493.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49717196 * 1.\nAnswer: 0.49717196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98997.\nAnswer: 3, 32999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 16*r. Suppose r = -2*w + 4*u + 374, 4*w + 4*u - 242 = 458. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.656101s in nanoseconds?\nAnswer: 6656101000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -11c?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdvd when four letters picked without replacement from {k: 3, j: 1, v: 10, d: 4}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13101984 by -90986.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30624 and 5568?\nAnswer: 61248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 419491259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 10 = -17*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -267*x - 4254. Determine y(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*l**4 + 19*l**3 + 5*l**3 - 120*l**4 + l**2 - 8 wrt l.\nAnswer: 24*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -2 (c) 244 (d) -4 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 11, b: 3, j: 2}. What is prob of picking 2 g and 2 j?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 641*u**3 + 1143?\nAnswer: 1923*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 2. Let f(g) = -g + 3. Let p(m) = 3*c(m) - 2*f(m). Let k(s) = -6*s**2. Give k(p(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y\/((y**(2\/25)*y)\/y)*y**(-1\/12))\/(y**(-1\/4)\/(y*y**(-4\/3)))*(y**2)**(-30)\/(((y\/y**(-2\/5))\/y)\/((y*y\/(y**(-9)\/y)*y)\/y*y)) assuming y is positive.\nAnswer: y**(-6547\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3105 - 2575. What is the highest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8806 + -8805. Which is the closest to 20\/9? (a) w (b) -0.06 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 21, 14, 7, 0?\n\"Answer: -7*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y**2 - y - 1. Let c(s) = -35*s**3 + 4*s**2 + 4*s + 4. Give c(u) + 4*i(u).\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 25*m - 5. Let p be a(-12). Suppose 5*x - 23 = 2*v, 4*v - p*v = -3*x + 21. Sort v, -1, 10.\nAnswer: v, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -2319869611.\nAnswer: -2319869610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3924 + -2074. Find the third derivative of -8*o**6 - 5*o**2 + y - 3*o**6 - 1853 wrt o.\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 3*x - 5 = -5*a, 2*a - 18 = 2*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 16*x. Let u be (-77)\/7 - (-1)\/((-2)\/(-6)). Let s be r(u). Solve s*y = 5*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 47. Suppose -o - 2 = -3*c. Suppose 4*u + 5*t = 210, -u + 3*t = c*t - 52. What is the greatest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24692\/20 + 1 - (-4)\/10?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (33 - 39)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 31. Suppose 4*h + 4*l + 0*l = 212, -x*h = 5*l - 112. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.39 + 1.69. Let p = g + -5.3. Let l be 0 - 2\/5*1. What is the nearest to l in 2\/7, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**7\/7 + 11*a**5\/10 + a**4\/4 - 24*a**2 - 25*a. What is the third derivative of s(y) wrt y?\nAnswer: -360*y**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l**4 - 23871*l**3\/2 + 23871*l**2\/2 - 77*l = 0.\nAnswer: 0, 1\/154, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.92 - 46. Sort -4, -0.3, k, -1\/4 in ascending order.\nAnswer: -4, -0.3, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 39319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let h be z*(-2 - -1) - -1. Let n be h*(1 - 1\/2). Is n greater than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 25 (b) 0.4 (c) -3\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145658951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-4)*(-598)\/(-52)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -19*y - 23. Let h(j) = -57*j - 1. What is 2*h(x) - r(x)?\nAnswer: -95*x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8556 - 12149 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149015611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w = 9*w - 156. Let t(x) = -5*x**2 - 3*x + 5. Let i(s) = 4*s**2 + 2*s - 4. Give w*t(b) - 4*i(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 1 = 31. Solve 2*k**4 - 3*k**f + k**4 + 6*k**3 - 3*k - 3*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-520)\/(-5) - (2 + -3).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*v + 27*v - 8*v)*(47 + 84*v - 47).\nAnswer: 336*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.115 - 0.749. Round k to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/65, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 245*c - 806. Let y be a(4). What is the highest common divisor of y and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/16861 + -1079122\/151749. Let l = -536 + 432. Find the common denominator of b and (l\/(-40))\/(1 + 9\/15).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 divided by -10?\nAnswer: -331\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 216795259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-90))\/((-10)\/25)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -16 + 4 + 7 - (-13)\/2. What is the nearest to -3 in 14\/3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15828453 not equal to 174112992\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 417916 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuu. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/8)\/((-17)\/((-1224)\/54)))\/((-27)\/1377)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27\/56 + 3\/28. Let z = -1131 + 522. Let j = 609 + z. Are i and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 28*j**2 + 41*j - 156. Let t be a(4). Let c be (-19)\/(t\/80)*3\/(-2). Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1011011111001000111000010001?\nAnswer: 1011011111001000111000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10588.15 + 10049. Let j = 539.290001 + s. Let q = 0.14 - j. Round q to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 6*y**2 - 3*y + 2. Let z be o(4). What is the first derivative of 7 + 43*u**4 - z*u**4 - 13*u**4 wrt u?\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 3, -2 in decreasing order.\nAnswer: 3, -2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 + 1)) + (10 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7453 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -52*a + 428. Let n be s(8). Sort 1, n, 5, -2 in descending order.\nAnswer: n, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 20*t + 198 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4565566, 9131137, 13696708?\n\"Answer: 4565571*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604 + -611 - (-91 + -4).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1684 and 4210?\nAnswer: 8420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 + 4464*w + 8944 = 0. Calculate w.\nAnswer: -2, 1118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 650017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795, -1507, -2219, -2931, -3643, -4355?\nAnswer: -5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 12 = 3*c - 4*x, 3*x = -9. Suppose 0*y - 2*y + 2532 = c. Suppose -8*t + 14486 + y = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let k be (189\/(-14))\/(1\/y). Is (k\/18)\/(2\/(-28)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5 + 1464*r**4 + 202842*r**3 - 24657020*r**2 + 187142400*r - 367416000 = 0.\nAnswer: -405, 4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 243671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, a: 4, f: 1, l: 8}. What is prob of picking 2 a and 1 l?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.93? (a) 4 (b) 6\/23 (c) 0.3 (d) -14 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*d - d**2 + 110*d - d**2 + d**3 to x*d + p*d**2 + z + u*d**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003530.7 rounded to the nearest one thousand?\nAnswer: 2004000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/24)\/1*(-4)\/(-3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -11*m, -4*y = -0*m - 4*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/16)\/(2\/4))\/(-22*15\/(-33990))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 + -0.4. Let d = m - -3.6. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*d + 2232, 0*f + 2*f = -3*d - 1132. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 940, 3760, 8458, 15034, 23488, 33820, 46030?\nAnswer: 60118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.34 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6781718 or 6781710?\nAnswer: 6781718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 77 = -3*k - 2*k, 17 = k + 2*s. Suppose -25 = 5*v, 2*y + v + k = -4*v. Let i = -18639 + 18644. What is the greatest common factor of y and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 2:10 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -14*a - 100. Calculate the remainder when 59 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 1. Let y(u) = -9*u - 5. Let g(r) = 4*p(r) + y(r). Calculate g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17044, 34086, 51128, 68170, 85212?\nAnswer: 102254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g - 1. Suppose -4*t = 2*j - 4 - 10, 4*j = 5*t + 2. Let s(r) = 10*r + 2. Calculate the remainder when s(1) is divided by w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 735 + 6?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*w - 151*w - 9*w)*(-w - 3*w - 11*w).\nAnswer: 1680*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 - 2*n**3 - n**2 + n**2 - 1 - 5*n to w*n**4 + p*n**2 + r*n + t + u*n**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 206. Let b = z - 98. Suppose b*d - 98 = 7. Calculate the greatest common divisor of d and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 155 = -7*n. Let o = n - -159. Suppose o = 5*j - 2*u, -u + 53 = 2*j - 0*u. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2403 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjtjjjct. What is prob of picking 1 t and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l. Let j be y(-1). Suppose -4*s + 2*o - 5 = 5, j*o - 9 = 0. Let n = 0.8 - 3.8. Which is the closest to s? (a) -0.2 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1611827 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 3)*(8 + 3 - 12) + (-5 + 2 + 4)*(-2 + 2 - 2) + 4 - 3 - 2 + 2 - 5 + 4 + 0 + 0 - 2)*(-5 + 5 - 4*h) to y*h + u and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -50*j**2 - 435*j. Let x(u) = -7*u**2 - 62*u. Suppose i + 21 = 2*d + d, 4*d = 4*i + 68. Let y(a) = i*x(a) + 2*t(a). Factor y(b).\nAnswer: 5*b*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185*u**3 - u - 2 wrt u.\nAnswer: 1110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24635*c*x**3 + 15*c*x - 3*c + 119*x - 2 wrt x?\nAnswer: -147810*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 + 162 - 505 - g**3 + 2*g**2 + 168 + 169 + 14*g. Give j(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -7 - 1) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143866199.\nAnswer: 143866199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - u)*(-1 + 8 + 2) + (2*u - 2 + 2)*(0 + 1 + 1) - 3*u + 2*u + 0*u - 1 + 1 + 2*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/9)\/(6\/108*-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*b**2*o - b**2*r**2 + 39*b**2 + 21111*b*o*r**3 - 163*b*r**3 wrt o?\nAnswer: 13*b**2 + 21111*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 - 115 = 0. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 10*p**2 - 36*p**2 - 9*p**2 + 4*p.\nAnswer: -35*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from ddyyyiyyyddyy.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -32. Let l = -0.302 + 0.182. What is the third biggest value in -1, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*10\/180. Let n(r) be the third derivative of 0*r**5 + 0*r + 1\/27*r**3 - r**2 + 0 + 1\/270*r**6 - 1\/945*r**7 - w*r**4. Factor n(z).\nAnswer: -2*(z - 1)**3*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccvcvcccvccccccvc. Give prob of picking 2 c.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfih when four letters picked without replacement from {j: 1, c: 1, h: 1, b: 2, f: 1, i: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 122541?\nAnswer: 122512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 9 + -11 - -5) + 12 - 36\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 83 + 82 = -l, -5*l - 3*s + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 34*h - 242. Let r be l(-40). What is the hundreds digit of r - -1539 - (-13)\/((-39)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 52 = -127. Let o = g - 15. Let s be (-10)\/(-40) + 14\/8. Solve -5*a = -5*m - o, 0 = a + 2*m - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10835248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -24*h + 4. Let v(m) be the first derivative of -m**2 + 14. What is b(v(c))?\nAnswer: 48*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 7\/(14\/(-8)). Solve -1 = -m*l + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/20 + 17*n**4\/12 + 3*n**3 + 9*n**2\/2 - 721*n. Calculate k(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:29 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/6 (c) -3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(102) - sqrt(102))*5*6)\/((sqrt(6) - sqrt(54)\/(2*sqrt(9)) - sqrt(6)) + 2*sqrt(6)*-6) + -4)**2*3 + -4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1590)\/5*913\/(-66).\nAnswer: 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**4*x**2 + 341*v**4*x + 55*v**2*x + 2*v*x**2 + 560*v + 2*x**2 wrt v.\nAnswer: -96*v*x**2 + 8184*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 2. Suppose 0 = r*d - 11*d + 15. Suppose -5*n - 26 = -1, -c = -d*n - 33. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -0.1, -0.8, -1235, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 23*m - 1 = 0. Let l be 11\/22*(1 + m). Put 2, -19, 1, l in descending order.\nAnswer: 2, 1, l, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*y**3 - 6*y**3 - 3 to the form c*y + m*y**2 + i + r*y**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10 = -3*y + t, 5*y + t + 34 = 0. What is the remainder when 62 is divided by (-5)\/(-1) + (-72)\/y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*z - 4 + 16 = 0, 5*q = 5*z + 120. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 5*l = 19, 49 = 2*f - l. Let m = -86 + 90. What is the smallest common multiple of m and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**3 + 7*k**2 + 22. Let b be 26\/(-6) - 14\/(-42). Let j(s) = -3*s**3 - 4*s**2 - 11. Let w(c) = b*n(c) - 7*j(c). Differentiate w(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -440. Suppose 11*r = 7*r + 152. What is the remainder when b is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21871327117 minus -7?\nAnswer: 21871327124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - -51. Suppose -y = -5*g + 4*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b*(b*b**(1\/23))\/b)\/(b\/(b*((b**(-2)*b)\/b)\/b*b)*b*b\/((b\/(b\/(b**(9\/4)\/b))*b)\/b)) assuming b is positive.\nAnswer: b**(-969\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from {i: 11, j: 2, s: 2, g: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 170, 346, 522, 698, 874?\n\"Answer: 176*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 506 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h + 5451*h**2 - 3 - 2*h + 4 + 22*h - h in the form f*h**2 + x*h + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*z**2 + 355*z**2 + 49*z**3 + 217*z**2.\nAnswer: 49*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 2*m + 8631. Suppose -5*v - 4*v + m = 0. What are the prime factors of v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9701, 38788, 87261, 155120, 242365, 348996?\n\"Answer: 9693*h**2 + 8*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -478272.1 to the nearest 1000.\nAnswer: -478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -338*33\/(-15444) + (-1 - (-1)\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 12449*q**6\/30 + 155*q**4\/12 - 2*q**3 - 3*q - 2018. Find the third derivative of w(c) wrt c.\nAnswer: 298776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in 3\/5, -1, 1\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24926 and 2178?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {h: 13, a: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 16. Suppose w = 3*m - 14, 5*w + 3*m + 70 = m. Let k be b(w). Suppose -v = 2*v. Solve v = 7*g - k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))\/m)**(-5\/3)\/(m\/(m\/m**(-1)*m)*m*(m**(-1\/4)*m)\/m*m) assuming m is positive.\nAnswer: m**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 - -192. Let n = 4\/11 - 23\/33. Let l(s) = s**2 + 13*s + 9. Let c be l(-12). Sort c, q, n.\nAnswer: q, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-5 - -6) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2544975?\nAnswer: 3, 5, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 586, 603, 646, 727, 858, 1051, 1318, 1671?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -82*v - 158. What is f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10230169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 361280372.\nAnswer: 361280369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 1.8. Let n = d - -2. Suppose -5*w + 14 = 3*k, 2*w + 0*w - 4*k = -10. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38286181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 + 24954*d**2 + 77725350*d - 701550882 = 0.\nAnswer: -6243, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*v - 307*v + 58*v - 454*v.\nAnswer: -1278*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104442 is divided by 701?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/39 - (-99)\/27. Solve y*j + 0 = -5*k - 5, -35 = -5*k + 4*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6*y + 2*y = -5, -4*y = 0. Suppose 3*k + m*s = k + 23, 4*s - 49 = -5*k. Suppose k*a - 6*a = 12. What is the remainder when 21 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1906674 by -21.\nAnswer: -90794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 122*q - 64 - 13816*q**2 - 122*q.\nAnswer: -13816*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 - l**4 + l**4)*(0*l - 2*l - l) + 109*l**5 + 172*l**5 - 48*l**5.\nAnswer: 239*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 - 44*a**2\/7 - 158*a\/7 + 200\/7 = 0. Calculate a.\nAnswer: -4, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4776714, -9553520, -14330326?\nAnswer: -19107132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) - -2 - -1. Let v = 1 - 1. Suppose v*z = -z + 1. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*a + 3*p - 103, -5*a - 258 = -2*p. Let i be (-6)\/(-2) - (-51 - 3\/1). Let c = i + a. Solve -15 = 2*z - c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202.8 + 221. Let y = -0.043 + 16.043. Let o = y - w. What is o rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 not equal to -3036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.5749 in 7\/4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/60 + q**4\/12 + 7*q**3\/6 - 3*q**2\/2 + 11*q. Let t(l) be the first derivative of f(l). What is the tens digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -j - 143, -c = 3*j - 34 - 113. Let p be 13 + 160 + -2 + (-9)\/(-3). Suppose 66 = -6*m + p. What is the greatest common divisor of m and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 4*h**3 - 2*h**3)*(-1 + 1 + 6)*(-13*h - 33*h + 10*h).\nAnswer: 648*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*t*v**2 - 116*g**3*v**3 - 3*g**2*t*v**3 + 30*g**2*t*v**2 + g**2*t*v + 19*g**2 + 10*g*v**2 - 1232*t*v**3 + 1 wrt v.\nAnswer: -696*g**3 - 18*g**2*t - 7392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = -9. Let d(k) = -10*k**3 - k**2 - k - 1. Calculate the lowest common multiple of d(-1) and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6980 divided by -57.\nAnswer: 6980\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/180 and 29\/5453910.\nAnswer: 10907820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -247.99. Which is the smallest value? (a) h (b) -9 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -38\/15 (b) -0.4 (c) -4\/3 (d) 8 (e) 0.16 (f) -15\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 167*y**2 + 350*y - 2080. What is a(169)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11945732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 404?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-8))\/(2\/(-12)). Let s = 0.18 - -4.82. Which is the third biggest value? (a) -1\/4 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 3*y**2 + 2*y - 2. Let g be i(3). Suppose -g*w - 20 = -9*w. Solve 0 = -w*l, -s + 3*l = -4*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 65 = -125. Let q = a + 0. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + u. Let m be w(0). Suppose 3*f + 3*a = 456 + 582, -a - 3 = m. What are the prime factors of f?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 105343*c + 8456. Is d(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((-6)\/(-4) - 0)*-2). What is the third smallest value in -1\/4, -2\/5, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56545755 by -321.\nAnswer: 176155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 4*g. Let v be o(6). Suppose -3*x + k + 51 = -x, -3*x + 3*k + v = 0. Suppose x + 12 = p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = -1. Suppose -16 - 32 = -k*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2 - 39063*d = 0. What is d?\nAnswer: -13021, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g - 3. Let q(u) = 2*u**2 - 8*u - 4. Let p(z) = 2*z - 7. Let b be p(6). Let l be q(b). Give h(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 2:55 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -41 + 42. Sort 5, 3, -10, r in increasing order.\nAnswer: -10, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -56*i**2 + 444*i + 28. What is h(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47027 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 24\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd0b + -5?\nAnswer: dd06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*x + 0*x - 6*x)*(2*x + 0*x + 0*x)*(0 + 2*x + 0) - 3*x**2 - 4*x**3 + 3*x**2 as b*x**2 + w*x + n + s*x**3 and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 63*n + 12118 = 0.\nAnswer: -146, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 45*c**2 + 3*c**3 - 46*c**2 - 4)*(-6*c**2 + 2*c**2 - 5*c**2).\nAnswer: -27*c**5 + 9*c**4 + 90*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 18) + (20 - 36) + 1 + -32.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-33) + (-532)\/(-22). Suppose -21 = -5*l + 2*l - 3*v, -3*l + 2*v + 6 = 0. Suppose o - 15 = -l*o. Calculate the greatest common divisor of m and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - v. Let a(y) = -4*y**3 - 12*y**2 - 12*y - 10. Let b(f) = -a(f) - 3*q(f). Does 17 divide b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvt when three letters picked without replacement from trllvgu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 214*w**2 + 6*w + 15. Let q(d) = -d**3 - 213*d**2 - 7*d - 14. Let c(u) = 7*f(u) + 6*q(u). What is the derivative of c(i) wrt i?\nAnswer: 3*i**2 + 440*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2)\/(-30*(-1)\/24). Solve o + j = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**3 + 5*r. Let y(m) be the first derivative of m**2\/2 - 448. What is u(f) - 6*y(f)?\nAnswer: 8*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*(-3 - -2). Suppose -g + 3 = -y. Suppose g*l = 27 - 3. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*y**2 - 2*b**3 - 2*b**2*y**2 + b + 97*y**2 + y wrt b.\nAnswer: -6*b*y**2 - 12*b - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**21*(c**(-1)*c)**(-17))\/(((c\/(c\/c**(-3\/8))*c)\/c**(-1\/8))\/(c**0)**(2\/23)) assuming c is positive.\nAnswer: c**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -3054?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1 - (6 - 14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 938, 1631, 2328, 3029, 3734, 4443, 5156?\n\"Answer: 2*u**2 + 687*u + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5*i)*(1944 - 2575 + 1493).\nAnswer: -4310*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162\/(-6 + 2 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2414818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9566369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*l + 1. Let g(s) = -s - 6 + 6 + 2*s. Let p be g(0). Which is the closest to -2? (a) p (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2 + sqrt(1700))*-4 + -2 + 2 + sqrt(612)))**2.\nAnswer: -544*sqrt(17) + 19716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*g - 62, -16 = -4*x - 5*g + 46. Suppose -2*h - 22 = -4*s, -5*s + 2*s = -3*h - x. Suppose -s*z + 12 = -3*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 2*j + 5*j**4 - j**4 - 2*j**3 + 2 + 3*j**2 - 2*j**3 in the form z*j**4 + f*j**2 + s*j**3 + a + u*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385798 - 3776*l + 385798.\nAnswer: -3776*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, -4, -1\/9, 0.27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 2:24 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/3)\/((-1)\/1). Let k be f + 0 + 6\/2. Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/7 - 128*m**4\/7 - 4782*m**3\/7 - 53488*m**2\/7 - 93137*m\/7 - 44304\/7 = 0. What is m?\nAnswer: -71, -39, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123423739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.6 + 7. Which is the third smallest value? (a) -1 (b) 5\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 2327*q**2 - 2329*q**2 + 4657*q**2 - 1. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/17)*t\/t**(-4)*t)\/(t**(5\/2)\/t)**40 assuming t is positive.\nAnswer: t**(-915\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 132, 258, 412, 588, 780?\n\"Answer: -g**3 + 23*g**2 + 30*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10353*u + 4701572 - 779237 = -49188*u for u.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -1 - (-19 - -33)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(1200\/(-28))*(36\/42)\/6?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -2.06. Let o = -0.16 - f. Put 5, 2\/23, o in increasing order.\nAnswer: o, 2\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1720, -3440, -5160, -6880, -8600, -10320?\nAnswer: -12040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -761 in -3, -3\/2525, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(-5 + -1*(sqrt(363) - (sqrt(363) + -2 + sqrt(363) + -1))))**2.\nAnswer: -528*sqrt(3) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * 26.1.\nAnswer: -1409.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 24. Suppose 2*p - f = f, g*f - 32 = -4*p. What is the first derivative of -16*t**4 + 34*t**4 - 14*t**p - 8 wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2915803 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.46. Let p = x + -0.3999999. What is p rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 12:01 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200471 is divided by 66807.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 8. Let q be v(-9). Let m(d) = d**2 + 6*d - 16. Let c be m(q). What is the highest common factor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58136233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -3069 (c) 4 (d) 0.23 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5 - 1. Suppose -29*q - n = -33*q. Suppose 0 = 3*z + 4*t - 39, z + 2*z - 21 = 2*t. What is the remainder when z is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*n + 1346*n**2 + 145*n + 5272*n**2 to the form v + d*n + z*n**2 and give z.\nAnswer: 6618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d - 51*d = -31*d - 2880. Calculate the least common multiple of d and 1024.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -21. Let n = w + -5. Suppose 0 = -2*p + 6, 5*l - 38 = -0*l + n*p. Calculate the least common multiple of l and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 7*z - 37. Suppose 110 = 6*u + 44. Let m be g(u). Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5434635, 5434643, 5434649, 5434653, 5434655, 5434655?\n\"Answer: -h**2 + 11*h + 5434625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 688*l + 6. Let z(v) = 461*v + 4. Calculate 5*t(a) - 8*z(a).\nAnswer: -248*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 121*o + 656. Calculate b(34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*k = 34, 5*n - k + 5*k - 97 = 0. Let l = -7 + n. What is the tens digit of (288\/(-84))\/((-1)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 1, 0 in descending order.\nAnswer: 56, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b - 72*b = -36*b + 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131869 (base 11) in base 12?\nAnswer: -9bbb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2394157023784 and -3.\nAnswer: -3.2394157023784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 520?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 689, 28, -3, -4 in increasing order.\nAnswer: -4, -3, 4, 28, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z. Calculate x(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z - 6 = -q, -3*q - 14 = -2*z. Suppose -l + 8 + 5 = b, 5*b - 63 = -z*l. Let u = b + 0. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, 3\/2, -4, -2\/221, 3.\nAnswer: -4, -1\/4, -2\/221, 3\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11808787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u - 8. Let l(n) = 4*n**2 + 181*n + 211. Let q be l(-44). Sort -5, u, q.\nAnswer: q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1080 divided by -19594\nAnswer: 540\/9797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w + 3. Let z = -32 + 75. Suppose 4*d + z - 99 = 0. Let k(j) = 30*j + 14. Calculate d*i(y) - 3*k(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*k - 4324 = -119*k. Let u = k - 332. Is 68 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s - 4. Let i be f(6). Let p = i - 49. Let k = -243\/4 + p. Is 0 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 12. Let w = -13 - u. Which is the second smallest value? (a) 1\/2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/149 or 1?\nAnswer: 46\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/597285 and -53\/25842531.\nAnswer: 387637965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/58)\/(21\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7017, -28836, -65201, -116112?\nAnswer: -181569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/9 + 10*o**3\/3 - 28*o**2\/3 - 2032*o\/9 - 640\/3 = 0?\nAnswer: -12, -10, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 4, -1\/3, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f + 35*f - 18 = 0. Let o = 25 - 7. What is the least common multiple of o and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -2 (c) -39 (d) -0.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -387, -53, 411, 999?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r - 2. Let f(i) = -798*i + 95. Let z = 1847 - 1752. Determine z*a(g) + 2*f(g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + i - 252 = -7*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236861 bigger than 5236856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2646691*j + 2153815?\nAnswer: 2646691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r - 5*r**2 + 2*r**3 - r**3 - 16 - 3*r**3 + 3*r**3. Suppose -b + 12 = 2*d, -3*b - 1 = 5. Let n be x(d). Is n less than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 + 38*a - 23. Let p be v(-10). Let d(n) = -94*n - 7. What are the prime factors of d(p)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3324 + -5664. Suppose -9*j = -7*j - 2. Let r be j\/((-7022)\/z + -3). Round r to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.9 times 494\nAnswer: 5384.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -37 (b) -194\/33 (c) -1\/3 (d) 0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9700*w + 29650. Determine z(3).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -4.\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4*o - 3*o + 0*o)*(3*o**3 + 7*o - 7*o)*(-17*o - 5 + 19*o + 4).\nAnswer: 6*o**5 - 45*o**4 + 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -5 (b) -1\/2 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2 (c) 0.942 (d) -41 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-1))\/8)\/(7\/(-98))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 147315 - 671?\nAnswer: 146534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036293684 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 536 - -278. Let b = 565 - g. Let m = -216.7 - b. Round m to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 57*v**3 - 2*v**2 + 3*v - 8. Suppose 2*j - 5*b + 23 = 0, 10*j = 5*j - 4*b - 8. Let z be p(j). What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - -110?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) + (-2)\/(-6). Let k(f) = -2*f**2 + 2 - 3 - 1 + f**3 + 2*f + x. Give k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 2. Let q be (3\/9)\/(2\/72). Let x = q + -14. Let g(a) = 2*a + 10 + 5*a - a. What is x*g(w) + 11*b(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 297 = -4*c - 293, -5*h = c + 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 5. Let l be i(7). Let z be 2 + -2 + l\/(-1). Let v(b) = 3*b + 1. Let a be v(2). Solve -2*r - z*n - 6 = 0, 4*n - 2*n + a = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051509 is divided by 433?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 (base 6) in base 16?\nAnswer: be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.2, -2\/3, 0.4.\nAnswer: -14, -2\/3, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*i + 771 = 2*i, -5*b - 3*i = -781. Does 47 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, -4\/27, -3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53952 is divided by 26399.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 42 (b) 488 (c) 1062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:17 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 1 + 0 - 2)*(2 + 4 - 3 + (5 - 4 + 0)*(0 - 1 - 3))*(g**2 - 2*g + 2*g) as r*g**2 + t*g**3 + y*g**4 + z*g + d and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 184, -0.06, 0, 16, 2\/7.\nAnswer: -5, -4, -0.06, 0, 2\/7, 16, 184","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + x = 5, -356*x + 187*x - 62 = 6*t - 158*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/501 and -5\/81426.\nAnswer: 13598142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 19 (b) -5 (c) -8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 2*w + w + (w - 2 + 2)*(3 + 0 - 1).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 240850663 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149203*i - 148598*i = -30855 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552430 is divided by 1554.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03036 and 0.87.\nAnswer: 0.83964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x. Suppose q - 21 - 3 = x. Calculate the greatest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-33)*(-32 - -34) - 196\/11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 10*q**2 - 12*q + 2. Let v(b) = -b**2 - b. Suppose -5*y = -303 - 197. Suppose -11*x - 32 = y. Give x*v(o) + h(o).\nAnswer: -2*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 18*p + 9. What is c(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(((f*f**(-20)*f)\/f)\/f)))\/f**38*(f\/(f*f\/f**(-29)))**(-1\/79) assuming f is positive.\nAnswer: f**(-4473\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 6 + 16 + (-3 + 1 + 1)*(-3 + 2 + 0) + 1 + 1 - 3)*(-4*b**3 - 1 + b**3 + b**3) as i*b**3 + f*b + t + c*b**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.025 - -1.985. Let i = k - -32. Put 4, 0.4, i, 1\/4 in ascending order.\nAnswer: i, 1\/4, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2393 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92684488 to four decimal places.\nAnswer: 0.9268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k = 139*k - 1287 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*r - 16, -3*r + 4 = -3*o - 2. Does 41 divide 407550\/507 - o\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6310?\nAnswer: 6310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 149\/6. Let p be (-6)\/33*-1 - 0. Put v, p, 0 in descending order.\nAnswer: p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*u + 1. What is the remainder when (9\/6)\/(u\/164) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77099, -78402, -79705, -81008, -82311?\n\"Answer: -1303*x - 75796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*x - 119, 0 = 5*x - 3*w + 8*w - 195. Let l be 104\/x + 4\/10. Suppose -3*i + 36 = i. Solve -2*y + i = -5*o - 22, 3*y - 24 = l*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -5*s + 0*s**3 + 0*s**2 + 0 - 3\/20*s**5 + 7\/12*s**4. Find the third derivative of i(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -2\/3*p**3 + 0*p**4 + 0*p**5 + 0*p**2 + 0 + 1\/15*p**6 - 4*p. What is the second derivative of v(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69866?\nAnswer: 2, 181, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224978 and 230068.\nAnswer: 50845028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*r - 2408 - 5541 = 1591 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67326.\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from xggxlllxloll.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (7 - -52) - (23 - (-17 + 34))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*p - 87*p + 2*f - 10, -215 = 112*p + 4*f - 1115 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 + -5.83. Let r = v - -0.11. Let p be ((-9)\/(315\/(-28)))\/((-2)\/5). Which is the closest to -3? (a) r (b) p (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3 (c) -417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-6)\/(-2))*321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 64575 - 64575.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -0.2 in ascending order.\nAnswer: -0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3801.7 in 22, 3, -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/24)\/((-330)\/(-10560))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 23*s**2 + 3*s. Let q(c) = -4*c**3 + 44*c**2 + 6*c. Determine 11*h(o) - 6*q(o).\nAnswer: 2*o**3 - 11*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 14) to base 15\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 196882*a. Let b(x) = x. Give w(b(f)).\nAnswer: 196882*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6734 or 0?\nAnswer: 1\/6734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11030446 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*q**4 - 223921*q**3 - 208921092*q**2 - 3481956*q = 0. What is q?\nAnswer: -1866, -1\/60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7097.971 - 7098. Which is the fifth biggest value? (a) -1\/5 (b) 0 (c) y (d) 5\/2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*4\/4*4. List the prime factors of 324\/8*c\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Suppose 68*h - 234*h + 498 = 0. Let m = -71 - -80. Solve h*o = j + m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 5*d - 32. Determine t(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 16*k = 0. Suppose k = -b - l + 756, -25*b + 28*b + 5*l - 2264 = 0. What are the prime factors of b?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3176447080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 36*h - 79. Suppose -16*r - 401 - 207 = 0. Let k be l(r). Which is the biggest value? (a) -1 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 86.56989 months?\nAnswer: 0.072141575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 + 80. Let q be (-1)\/6 + r\/(-66). Solve q*w = 2*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 26*4\/24. Let d = -1 - -1. Which is the nearest to s? (a) -0.3 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6992, 13993, 20996, 28001?\nAnswer: 35008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 14*i + 5*i + 4*i - 18 - 28 to the form t + p*i and give t.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:22 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:40 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640084567 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g - 60. Let x = -133 + 123. Let b be q(x). Solve b = -s - 4*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + y)*(-1 + 2 + 1) - 6 - 4*y + 6 + 739 + 125*y - 739)*(-2 + 6 - 1).\nAnswer: 369*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (0 + (-1274)\/(-8))*(2 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + u**3 - 2 - 6 + 13 + 3*u - 9. Let v be y(4). Is 33 a factor of (-64)\/(-2) - (-8)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v + 4. Suppose -2*w = 2*w - v. Suppose 7*g = 4*g + 9. Solve u = g - w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 9*c + 16. Let y(v) = -20*v**3 - v**2 - 7*v - 8. Let z be y(-1). Solve -2*g + 9 = -k, -2*k - z = -5*g - c*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*s + 70*s + 56*s)*(4*s + 0*s + 0*s) + 0*s**2 - 2*s**2 + 0*s**2.\nAnswer: 954*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -19\/8, 2\/9, -1\/2, 1, -2\/9?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -149. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = 4*j. Let i = -5800.9 + 5801. What is the smallest value in 37, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(1\/8)\/i)*i)*i**(2\/25)*i)**(2\/11) assuming i is positive.\nAnswer: i**(-159\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 13*l**2 - 9*l + 16. Let z be c(-12). Let x be (-30)\/z*(-8)\/(-6). Solve -x*w - 2*p - 4 - 2 = 0, 5*w + 23 = 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:37 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-539) - (-40)\/66.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -12*q - 4*s + 12457, -s = 4*q - 16631. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 5*h - 3*g, 5*h - 5*g + 10 = 0. Let a(l) = 9*l + 4. Is a(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.17. Which is greater: f or -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91166897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 311864, 311881, 311898, 311915, 311932, 311949?\n\"Answer: 17*m + 311847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7068.3 minus -0.4?\nAnswer: -7067.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2200448*f**2 + 2844762*f**2 - 391381*f**2 + 824574*f**2.\nAnswer: 5478403*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 14\/585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.21512 rounded to 1 dp?\nAnswer: 42.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23960 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: Find the common denominator of -13\/4430 and -11\/13566.\nAnswer: 30048690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 36. Suppose 0 = a*z - 5*z - 10312. Let p = 2196 - z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (490\/25 - (5 + -3))\/((-70)\/(-175))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68354433 greater than -68354432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27687931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20380845?\nAnswer: 3, 5, 47, 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 - 5 = -2*l, -5*z - 3*l - 24 = 0. Let n = -1.36 + 0.46. Let k = 4.9 + n. Which is the third smallest value? (a) 5 (b) 0.2 (c) k (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3741 and -58\/5?\nAnswer: 18705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = 3*r. Find the second derivative of r*x + 2*x**4 + 3*x**4 - x wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 2.8. Is g equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 132, -133, -5, -12, 3 in decreasing order.\nAnswer: 132, 3, 2, -5, -12, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/24 - 2*w**3\/3 + 4*w**2. What is g(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 512 and 56?\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.09 * 34.\nAnswer: -207.06","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + -34 - -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5*z**2 + 4*z - 2. Let x be f(4). Let b = 560 + -329. Let o = b + -228. Is x >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.21 + -0.21. Let f = 13.5 - x. Let b = f + -2. What is the closest to -1 in b, 0.1, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 14. Find the third derivative of -x*w**3 + 17*w - 17*w + 6*w**2 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4479, -4497, -4511, -4509, -4479, -4409, -4287?\nAnswer: -4101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -83*x**3\/6 + 105*x**2\/2 - x - 24. What is the first derivative of i(u) wrt u?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196930 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(75\/6)*((-242)\/4)\/11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(-4 + (((1*sqrt(363))\/sqrt(11))\/sqrt(675))**2).\nAnswer: 889\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754978514 to the nearest integer?\nAnswer: 27477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107 and 127865.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21640619 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 61 + (-52 - -70) + -15 + 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 20, 29, 36?\n\"Answer: -f**2 + 14*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-714)\/(-8) + (-3)\/(-4). Let c be 3\/(n\/65)*6. Let q be (-68)\/51 - c\/(-3). Solve -q*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/60 + c**4\/6 + c**3\/3 - 8*c**2. Let h be z(-5). What is the tens digit of h*1\/((-20)\/(-19) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8872.337mm?\nAnswer: 887.2337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 5, l: 2, e: 1, x: 1, g: 1}. What is prob of sequence xj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1250 - 784. Let k be (-90)\/(-36) - i\/(-4). What is the greatest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 40. Let g = 20 + u. What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/11, 0.3, 288, 1\/362?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -564610 + 564610. What is t in 0 + 32\/11*t**2 - 76\/11*t**3 + 38\/11*t**4 + u*t + 6\/11*t**5 = 0?\nAnswer: -8, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11680 - 11679. Solve -6*v - l = 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from nkknvkznyyvnzynzkknk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/17 - 304*i\/17 - 616\/17 = 0. What is i?\nAnswer: -2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002249297881 to 7 decimal places.\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51637?\nAnswer: 51637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253*t - 176 = 1242*t. Which is smaller: 20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0*i + 0*i**3 + 0 + 0*i**2 + 2\/5*i**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 31115706?\nAnswer: 31115702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-24))\/((-1)\/(-9)). Solve 4*j = 3*r + 1, 37 = -0*j + k*j + 5*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/6 (b) 58 (c) 6\/7 (d) 187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.005 or 4?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -666*n + 669*n + 2 + 0*n**3 + n**3 + 36*n**4 in the form c*n**3 + s*n**4 + r*n**2 + h + o*n and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 39*z**2.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*g**3*i**2 - 723*g**3*i - 110*g**3 + 1825*g**2*i**2 - g*i wrt i?\nAnswer: 266*g**3 + 3650*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 0 + 0)*((-5*r + 0*r + 3*r)*(-2*r + 0*r + 3*r) + (r - 5 + 5)*(-2 + 2 + 2*r) - 2*r**2 - r**2 - 4*r**2).\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42635 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 1, f: 1, i: 4, w: 1}. Give prob of sequence ri.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-152)\/(-152))\/((-1)\/(-17)). Suppose -3*k - 5*y = 30, -3*y - 21 = 3*k - y. Sort -4, d, -1, k in ascending order.\nAnswer: k, -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -2. Suppose 15 + f = 3*w. Solve w = -3*k - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.057 + 0.057. Let l be 80\/32*8\/(-90). Sort l, n, -0.5, -3 in increasing order.\nAnswer: -3, -0.5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t - 12 + 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + 4.8. Let z = u + -7.90000171. Round z to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from {i: 4, n: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36792 - 11832. Does 87 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 0. Let x be (-15 - -2)*(q - 1). Let i = x - -14. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/40)\/(-7) + 105\/12 - (-882)\/(-490)?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 < -291\/184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -188 (c) -2 (d) -4\/67 (e) -7 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:34 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + a + 1. Let f(x) = 1. Let p = -6 - -8. Let r(z) = p*f(z) - 2*j(z). What is the second derivative of r(s) wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 12*z**2 - 12*z + 10. Let k be i(11). Let x be ((-7)\/(-14))\/(k\/(-6)). Suppose -9 = -0*v - x*v. Solve -2*s = -v*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24390 and 5978260.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -431.0207 + 431. Round q to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 4*i - 104. Let j(m) = m**3 - 9*m**2 - 7*m + 84. Let f be j(9). What is the highest common factor of i and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9)\/((d**7\/d)\/d*d))\/(d**(-1)*d)**(1\/13))\/((d\/(d*d*d*d**(-1\/3)*d)*d*d)**(18\/11))**(-2\/117) assuming d is positive.\nAnswer: d**(-7460\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197689069.\nAnswer: 7877, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 1, o: 1, w: 3}. Give prob of sequence cww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8830 + -4963. Suppose -10*l + x = -5243. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2685 * -0.80688.\nAnswer: 2166.4728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -164 + 5?\nAnswer: -15e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24435 and 256380?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 127121?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 22. Let j = 17 + c. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/(5\/(-2)). What is the second smallest value in -2, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 2*s**2 - s - 1. Suppose -5*q + 48 = 11*q. Let i(w) = -6*w**3 - 5 - q + 11 + 4*w + 7*w**2. Calculate 2*i(o) + 7*z(o).\nAnswer: 2*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1729.8359 and -1?\nAnswer: 1730.8359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.226203 to 3 decimal places.\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233069 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47047, 94381, 141713, 189043, 236371, 283697?\n\"Answer: -u**2 + 47337*u - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthoxoghghxohoxt. Give prob of picking 2 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 18162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 23790\/17609 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512*f - 110352 = 94*f. What is the lowest common multiple of (15\/(-4))\/((-6)\/16) and f?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 1\/8, -2\/9, -3, -29, 8\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 0 + 0)*(3 - 1 + 0) + 0 - 3*b**2 + 0 + 5*b**2 - 2*b**2 - b**2 + 0*b**2 - 3*b**2 - b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(266)\/sqrt(7))\/(sqrt(24)\/(sqrt(12)*1)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -63. Is (-1)\/(-4) + -2*(-26182)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 10, -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/852*(-1)\/(-14)*98\/(-28)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -50, -5 in ascending order.\nAnswer: -50, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 8*d**2 - 12*d - 8. Is i(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 1, k: 1, y: 8, p: 3, e: 2}. What is prob of sequence ppc?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or 3\/133?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1603 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325 - -329. Suppose -15 = -s*g + 45. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/24 - 24*m**2. Give w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -189, -389, -773, -1401?\nAnswer: -2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84016*w**5 - 15*w**3 - 345*w - 167858.\nAnswer: -1680320*w**3 - 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 31, 58, 91, 130, 175?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 19*y + 33. Let d be w(17). Let i(u) = -5*u. Give i(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -7\/24*n**4 - 3\/2*n**3 + 4*n**2 + 1\/60*n**5 + 0 + 0*n. Is 2 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y - 3*k = -97*y - 35, -5*y - 4*k = -98 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 + -185. Suppose 5*k = k - a*u + 86, 5*u = -5*k + 115. Let s = -21 + 37. What is the least common multiple of k and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 980 = -12*i. Let d = -129 + i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 + -1 - 8) + (9 - 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -0.5, -2 in ascending order.\nAnswer: -4, -2, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 10\/(-4). Let o be 5 - 4\/(1 - -3). Factor -z**2 + 3*z**3 + 10*z**o - 2*z**h - z - 9*z**4.\nAnswer: z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {m: 3, v: 13, p: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1853\/33 + -169\/3. Let w be 10\/(-8)*1\/10. What is the biggest value in w, -4, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111110111111 - 100001100011?\nAnswer: 100101011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2404160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b. Suppose -5*r + 2*l = -11, 0 = r + 4*l - 9 - 2. Suppose -z + 0*q + q = r, -21 = 2*z - 5*q. What is the units digit of t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 70, 112, 160, 214, 274?\n\"Answer: 3*x**2 + 27*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = -3*p - 5*h, -4*p - 4 = 4*h. Sort p, 12, -2, 5 in increasing order.\nAnswer: -2, p, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b. Let k(w) = 520*w**2 + 245*w. What is m(k(o))?\nAnswer: -5200*o**2 - 2450*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/14 + 2*y**6\/5 + 32*y. What is r in i(r) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 396*x**2 + 3*x - 598. What is z(198)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 60\/100)\/3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*v**3 - 4 + 4*v**3 + 34*v**3)*(3 - 5 + 3).\nAnswer: 85*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016894 to the power of 1\/2, to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 2*i + 1. Let s be (-3)\/(12\/(-8)) - 1. Let w be l(s). Let t be ((-2700)\/w)\/((-3)\/(-30)). What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/4 - y**3 - 3*y**2\/2 + 5*y. Factor s(x).\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*z + 138*z - 1906*z**2 - 4*z**3 - 217*z - 11*z**3 + 1905*z**2 + 16*z**3.\nAnswer: z**3 - z**2 - 400*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*v**3 + 0 + 0*v - 2*v**2 = 0. What is v?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 15479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 20 = 6*u. Suppose 3*c = 2*b + 24131, -42655 = -4*c + u*b - 10481. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58302 divided by -26?\nAnswer: 29151\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-133020)\/(-210615)*3\/12\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4041 = 2*b + 5*j, -3*b + 6853 = -5*j + 854. List the prime factors of b.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18050, 36111, 54172, 72233, 90294, 108355?\nAnswer: 126416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 600 = 14*j. What is the greatest common factor of j and 1320?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p - 6. Suppose 2*t + p*w - 288 = -0*w, -700 = -5*t - w. Let x = t - 60. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*m*x**2 + 249*g**3*x**2 - g*m*x**2 - 522*g*m - 3*x**2 wrt m.\nAnswer: 2*g**3*x**2 - g*x**2 - 522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times 0.01\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2, -1\/5, 2\/9, 1\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)\/k)**(7\/3)\/(k**(-4)\/k**(-12)) assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/3217 + -77194\/22519. Let u = f - -213\/56. Suppose -9\/8*x**2 + 0 - 9\/8*x**3 - 3\/8*x**4 - u*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15114.63t?\nAnswer: 15114630000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49397006 to the nearest integer?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90938 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: Which is the closest to -846? (a) -0.2 (b) 2030 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2120.\nAnswer: 1\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 177\/9)*70416\/168?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/4)\/((-17)\/(-34)) - 2\/21*-95.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 10*p + 26. Let j be y(4). Suppose 0 = 2*q + 5*x + 30, 4*x + j = -2*q + 2*x. Let g be 1*-2 + (-9)\/4. Is q greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/16 - -4) + (-1)\/4. Suppose -3*h = -2*h - 9. Calculate the highest common factor of h and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1299 - -2439. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -6\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4 - 70*u**3 - 118*u**2 - 182*u**2 - 26 - 250*u + 651 = 0. What is u?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q. Let x(t) = 5465117*t**2 - 1. Determine x(a(z)).\nAnswer: 49186053*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-15 - (6 + -13))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/(1 + 0). Suppose 3*c - 5*m = 30, h*c + 4*m = c - 3. Let p = 2 - -2. Solve -p*o = o - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 53. Determine d(-11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(1\/4)\/m)*m*m*m*m)**(-46)\/(m**0)**(-21)*m**(-1)\/(m**(-7)*m*m)*(m\/(m\/(m\/(m\/(m**(-4\/9)*m)))))\/(m*m**(1\/5)) assuming m is positive.\nAnswer: m**(-27643\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264899*d - 632415*d - 632485*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 146309992909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w - 2651. Give y(-87).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/(58\/64 - 1). What is the common denominator of 79\/24 and 4343\/(-43)*2\/y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0*h**2 + 294\/5*h**3 - 3\/5*h**5 + 0*h + 0 - 141\/5*h**4 = 0.\nAnswer: -49, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411024 and 1074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + (-68)\/(-8))*(-151842 - -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669830?\nAnswer: 2, 5, 366983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 0*n**2 + 0*n**2 + 2*n**2. Let a(v) = -v - 7. Let s be a(-9). Let z(p) = -5*p**2 + 2*p**s + 5*p**2 - 3*p**2. Calculate j(z(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*h + 6*h + h)*(-1 + 1 - 1) + 0*h + 0*h - 2*h)*(-5 - 10 + 0) to i*h + w and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - 1696\/(-144). Solve 4*s = 2*k - z, s + 3*k + 2*k - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44019.\nAnswer: 3, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h**4 + 10*h. Let n(i) = -54*i**4 + 49*i. Let y(w) = 2*n(w) - 11*q(w). What is the second derivative of y(s) wrt s?\nAnswer: 156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2037036 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2827\/3 + -953. What is the common denominator of 39 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4602, 18339, 41234, 73287, 114498?\nAnswer: 164867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -441, -889, -1339, -1791, -2245, -2701, -3159?\n\"Answer: -j**2 - 445*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -33. Suppose 5*j = -4*h + 82, j + 3*h - 4*h = b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496210 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i + 17. Suppose 3*c - 3*z + 19 = -4*z, -z - 4 = 0. Let l be c\/(-20)*4 - 12. Let s(x) = -8*x - 9. What is l*s(p) - 6*q(p)?\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3781392, 7562778, 11344162, 15125544, 18906924?\nAnswer: 22688302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 + 3*s - 4. Let c be t(-3). Let a(o) = o - 5. Let v be a(c). Solve v = 7*d - 2*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksp when three letters picked without replacement from pstpkpsffpfsp.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 18*c**2 - 46*c**2 + 24*c**2. Let l(s) be the third derivative of 3*s**5\/20 - s**2. What is -5*h(d) - 2*l(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*h**2 + 935537*h - 18268558 wrt h?\nAnswer: -16*h + 935537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Suppose -3 - 7 = 5*x + u*i, -4*x - i = -7. Suppose m = -x*m + 40. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1032*p**2 - 13*p + 27. Let w be q(-17). What is w rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:12 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5958 - 5953. Solve 0 = -d*g + 2 + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 23*b - 22*b + 6053, 0 = -5*u - 2*b + 7576. Let j = u - 761. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 5:13 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 695 + -684. What is the remainder when 338 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x + 0*x - 2*x - 5. Let v(t) be the second derivative of -t**2\/2 - 273*t + 20. Calculate n(a) - 6*v(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479 + -284. Suppose -2*q + 75 = m, -2*q + p = 3*q + m. Suppose -5*b = -10*b + 105. Calculate the remainder when q is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 133. Suppose -w = -11*n + 180. Suppose n*s - 3024 = 4*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, -4, -3, 3 in decreasing order.\nAnswer: 3, -3, -4, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 12*h - 15. Calculate the lowest common multiple of t(10) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p**2 + 6*p**2)*(-3*p - 2*p**2 + 3*p + 4*p**2 + 19*p - 19*p + (p - 4*p + 2*p)*(2*p + p - 2*p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204) + -1*sqrt(204) + sqrt(204))\/sqrt(6)*3)\/(sqrt(450) - (sqrt(450) + (sqrt(450) - (sqrt(450) + (sqrt(450) - sqrt(450)*-1))*-4) + sqrt(450))).\nAnswer: -sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52540 (base 6) to base 2.\nAnswer: 1101111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 5990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2010*r**2 + 1518*r**2 + 5915*r**2 - 1770*r**2 + 3692*r**2.\nAnswer: 11365*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 59b704?\nAnswer: -59b6dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127306*q**2 - 115*q + 81537834.\nAnswer: -254612*q - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45702815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 75. Give n(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*z + 72 = -88, 0 = -4*u + z + 588. Is 39 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 minus 0.02?\nAnswer: -88.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 17000980 = -5*r, 7*r - 2*r - 17001025 = 5*p. What is r rounded to the nearest ten thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-138)\/18 + 4\/6. Let d(v) = v**3 + 7*v**2 + v + 6. Calculate d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 0*o - 6*o - 21*o**2 to s*o**2 + l*o + t and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/60 + (-1)\/6. Solve -6 = -f*r + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 4, 2216, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2)*w)\/(w**(2\/5)*w*w))\/w**6)**24)**(-31) assuming w is positive.\nAnswer: w**(34968\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 4330.\nAnswer: 38970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8568 divided by -21.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:46 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -88, -97, -112, -133, -160?\n\"Answer: -3*y**2 - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3 + (-126)\/(-189))*(-20)\/30. What is the fourth smallest value in -0.23, -35, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let m be (-176)\/64 - (-6)\/(6 - 4). What is the closest to m in z, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14378 * 0.1\nAnswer: 1437.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(3 - 3 + 2*w**4) + 3*w**4 - 2*w**4 + w**4 + 723*w**4 - 1803*w**4 - 938*w**4 + (1 - w**3 - 1)*(0*w + 2*w - w).\nAnswer: -2013*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66207, 132440, 198637, 264798, 330923, 397012, 463065?\n\"Answer: -18*a**2 + 66287*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*s**2 + 388*s**2 + 226*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 41*z - 1. What is i(4)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6179340 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 8*s**2 - 3*s + 10. Let d(l) = 3*l**3 + 9*l**2 + 4*l - 11. Let g(y) = 3*d(y) + 4*w(y). Calculate g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -10*q + 35 - 30. Which is the fourth biggest value? (a) 0.1 (b) 2 (c) q (d) 23 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2 + 2 - f) + 10 + 1073*f - 1077*f + 151.\nAnswer: -2*f + 161","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59749, -59753, -59757?\nAnswer: -59761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196 + -203 - (-1 - (-3 - -4))) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491973 to the power of 1\/2, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1040, 1003, 948, 881, 808?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 + 2*r**2 + 182)*(r - 4*r + 0*r + (6 - 3 - 1)*(2 - 2 - r)).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)*-1)\/sqrt(11))\/(4*sqrt(32)\/sqrt(4)) + 0.\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -25, 87, -3, 4 in increasing order.\nAnswer: -25, -3, 2, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 91*u**2. Let x(o) = -o**2. What is x(m(l))?\nAnswer: -8281*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -19895?\nAnswer: -19888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8*t + 2 - 3 + 1.\nAnswer: 8*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3 - -8)*(-2)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*a + 23, 3*m + 24 = -0*a + 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -360 - 205?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*-129*4\/(-12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1097*h - 3 + 3.\nAnswer: 1097*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.12 (c) 0 (d) 4\/5 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -0.2. Let c = g + 0.4. Let b = c + -1.800009. What is b rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9865.\nAnswer: 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 3}. Give prob of sequence wvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 1. Let k be x(5). Let m = -8 + k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 44*n + 4.\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2\/35)*g)\/g)\/g)\/g)\/g*g**(-6\/7) assuming g is positive.\nAnswer: g**(-137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 13*s + 52. Give i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/210 + 17\/14. Let v = l - 41\/15. Let j(m) = m**3 + 10*m**2 + 2*m + 19. Let u be j(-10). Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21302291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -18, -1.\nAnswer: -18, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**3 + 0*f**4 + 0*f - 1\/735*f**7 + 0*f**5 + 1\/140*f**6 - 46*f**2 + 1. Factor t(h).\nAnswer: -2*h**3*(h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/25 + 3*u**4\/10 + 4*u**3\/5 + 4*u**2\/5 + 1983. Let w(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 2*s + s)*(843*s**3 - 88*s**3 + 816*s**3).\nAnswer: -9426*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 + 5*o**4 + 25*o**3 - 25*o**2 - 20*o + 20 = 0. Calculate o.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/9)\/(j*j**(-1\/5)) assuming j is positive.\nAnswer: j**(-46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 1 = v. Calculate the remainder when 19 is divided by 5\/(-4)*(v + -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0 + 2. Let w be 2 + b\/(2\/(-3)). Suppose w*g - 4*x = 19, -2*g + 2*x + 7 = x. Solve -g*k - 12 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -301144*b + 1211175.\nAnswer: -301144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-4)*162820\/(-52335).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:51 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:34 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(5*l + 17*l - 5*l).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p**3 - 2*p**2 - p - 3. What is n(-2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74396301 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6848, 254 in ascending order.\nAnswer: -6848, 0, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -150. Let f(z) = 21*z**3 + 19*z**3 - 2 + 8*z**2 - 39*z**3 - 1. What is f(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + w + 6 = 37, 3*h + 2*w - 49 = 0. Differentiate 1 - 2 + h*s + 2*s - 9 with respect to s.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13)*j)\/(j\/(j\/(j*(j*((((j**(-10)*j)\/j)\/j)\/j)\/j)\/j*j))))**(-44) assuming j is positive.\nAnswer: j**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.04392+15\nAnswer: 15.04392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 0*r**2 - 100 - 14*r**2 - 5*r + 102 - 3*r**2 + 14*r to the form s + z*r**3 + w*r**2 + y*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from {g: 8, w: 5, t: 2, x: 1, z: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-1)*(-1932)\/(-10304)*(0 - -6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 100906*j - 1412676. What is z(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -559832 divided by 21532\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 111*v**2 - 2*v + 22. Let n(a) = -2*a**2. Determine h(n(j)).\nAnswer: 444*j**4 + 4*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*m**3*w**3 - 19*m**3*w + 17170*w**3 - 312525*w wrt w.\nAnswer: 234*m**3*w + 103020*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20045278 (base 9) to base 7\nAnswer: 144364565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**9*g)\/g)**(-13\/4)*g\/(g**(-34)*g)*g**(2\/5) assuming g is positive.\nAnswer: g**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.9, -0.1, -6, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -111*w + 2963. Give f(27).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 532431751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d)\/d*d*d**36)\/(d**(-3\/11)*d**(-7)\/d) assuming d is positive.\nAnswer: d**(421\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 75 = 5*b, -4*o = -b - 26 + 5. Let a = b - -21. What is the units digit of ((-4)\/a)\/(1\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 110 = 88 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.064 and -246593.\nAnswer: -246592.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:54 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -21 + 21 + 3*p**2 + p. What is the remainder when 10 is divided by a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(7\/3))\/g**(-1\/5))\/((g\/(g\/g**(-2\/3)))\/(g*g\/g**(-12))) assuming g is positive.\nAnswer: g**(203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*p - 3*n + 1, 0 = 4*n - 9 - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + w - w + (w**5 - 3*w**5 + 3*w**5)*((0 + 2 - 1)*(-2 - 2 + 3) - 1 - 3 + 8).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/87947 and -11\/22816.\nAnswer: 64728992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5912863.9797 + -5912609. Let w = x - 255. Round w to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 22864*b**2 - 2707980*b.\nAnswer: -4*b*(b - 5595)*(b - 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -291*u + 1173. Calculate k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b\/(b\/(b*b**(1\/3))))**(2\/107) assuming b is positive.\nAnswer: b**(98\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 111*s**2 - 111*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4 - 1, -2*o + w + 51 = 0. Let g = o - 24. Let z = 6 - 2. Solve 14 = -4*a - 3*f - 5, 0 = g*f + z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:15 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57761?\nAnswer: 11, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:29 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 1578.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u - 12. Solve -v + u = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/120 + 2*m**5\/15 + 7*m**4\/24 + 4*m**3\/3 + m**2. Let f be s(-7). Solve -3*a + 5*q - 7 = q, -4*a + q = -f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -298. What is the greatest common factor of t and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -813 - 59\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + n - 4*n)*(n + 0*n + n) + 1 - n**2 - 1 - 3*n**2 - 4*n**2 + 5*n**2 + 19 - 40 + 3*n**2 + 17.\nAnswer: 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40.22, 3, 18.51, -1, -0.2 in descending order.\nAnswer: 40.22, 18.51, 3, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -137, -66, 81, 328?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410486649 is divided by 286.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13 = -1. Is ((-2)\/q)\/((-5)\/5865) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065*t + 328*t - 1392*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -599\/5 - -120. What is the smallest value in 10, 1.7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9 - 2 + 7*i - 24*i - 2 - i**2. Let w = 52 + -68. What is the remainder when 6 is divided by d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(28)\/((sqrt(36) - sqrt(4)) + sqrt(4) + sqrt(4)) - (sqrt(175)*2)**2).\nAnswer: -701 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -43416743640 to the nearest one million.\nAnswer: -43417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 22 + 6, 4*v + 3*k - 8 = 0. Suppose -15 = 5*s, 3*i - 6*i = -v*s - 30. Let c be i\/2*(-78)\/(-65). Solve -z = -c*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448447?\nAnswer: 43, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-450)\/(-12)*(-3)\/((-15)\/4). Find the third derivative of 2*c**6 - c**6 + 71*c**4 + i*c**2 + 20*c**2 - 4*c**2 wrt c.\nAnswer: 120*c**3 + 1704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 44*j - 9. Let s(g) = -g**3 - 9*g**2 - 8*g + 5. Let z be s(-8). List the prime factors of f(z).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93663390727 - 0.1\nAnswer: -93663390727.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4\/11)\/j)**(-44))**27)**(-24) assuming j is positive.\nAnswer: j**(-38880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 27.8. Let y(i) = i**2 - 25*i + 116. Let t be y(19). Put -0.3, k, t in descending order.\nAnswer: t, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363300 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*3280\/(-71340).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 115?\nAnswer: 56\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2495 - 2*l**2 + 2495 + 4*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d47 (base 16) to base 8.\nAnswer: -6507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72002.8km to millimeters.\nAnswer: 72002800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1443 + 2213?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 + (8\/(-10))\/(1\/5) and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*i - 6, 2*i - 6 = 2*h - h. Let l(n) = n**2 + h*n + 0*n + 2*n. Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 12 - 3*z**2 + 6 in the form a + b*z**2 + x*z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 3\/4 (b) -4 (c) -7\/3 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*p + 5, -d - 4*p = -3*d - 22. Let o(c) = -6*c**3 - 6*c**2 + 20*c + 31. What is the units digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.1 * 468.38.\nAnswer: -8009.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4202072955 divided by -5?\nAnswer: 840414591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/54 and -77\/288?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -1\/2, -58.6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/9 - 28934*d**3\/9 - 173654*d**2\/9 - 318394*d\/9 - 57892\/3 = 0.\nAnswer: -3, -2, -1, 14473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 40\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(32\/(-12))*66\/(-9). Let i(x) be the second derivative of -x**5\/20 - x**4 - 13*x**3\/6 - 5*x**2 + x. List the prime factors of i(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:18 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 5*n - 7. Let l be q(-7). Suppose -l*g + 99 + 13 = 0. Solve k - 1 = f, 2*f + 2*f = -2*k - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2218608045 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 171439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 3, -3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138496*s**4 - s**3 + s**2 + 1826890*s wrt s?\nAnswer: -1661952*s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(121) + 2*sqrt(121) - sqrt(121)) + sqrt(121))*4*6)\/(-1*sqrt(99)*6*-1).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jobxjojbokb. Give prob of sequence oj.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11800807559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -117*m**2 - 3*m - 24. Let j(x) = 56*x**2 + 3*x + 11. Determine 15*j(z) + 7*s(z).\nAnswer: 21*z**2 + 24*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(x**3 + 3*x**3 - 3*x**3).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 293 = 3082. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 510, 527, 560, 615, 698, 815?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2101, -4203, -6307, -8413?\n\"Answer: -s**2 - 2099*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -8. Suppose -r*x - x = -5360. Let b = x - 2832. Round b to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5804 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -161, -220, -303, -410, -541?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11270 and 3136.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -50, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.112 - -0.3. What is u rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5883 or -4094?\nAnswer: -4094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217*j - 1276*j - 2 + 24 - 22.\nAnswer: -59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 smaller than 478211\/2719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let v(f) = 10*f - 1. Let a = -43 - -60. Calculate the remainder when a is divided by v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1739 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3777329*s**3 - 180*s**2 - 1700*s wrt s?\nAnswer: 22663974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24543514 (base 8) to base 11\nAnswer: 3075953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 3*v. Let h(a) = -a. Let b(u) = 3*h(u) + j(u). Let k(q) = 3*q. Let p(s) = 10*s. Let o(m) = 7*k(m) - 2*p(m). Calculate o(b(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399109 and 8959?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 2*t + (t + 1 - 1)*(3 + 0 - 2)*(-77 + 172 - 70).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0, -73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 11?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.373 - -3.4402. Round r to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 + 251*d**2 + 178 - 91 to m*d**2 + l*d + j and give m.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose 3*n = -4*h + 11, 0*h - 23 = -m*n - 2*h. Is n > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 7*m - 2. Let n be y(6). Suppose n*w = -w. Is w bigger than 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2281*d*h**2*j + 8*d*h**2 - 137*d wrt j.\nAnswer: -2281*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/(k\/(k\/(k\/k**1))))*k*k\/k**(-5\/3)*(k*k**(2\/5)*k)\/(k*k**(-1\/6)) assuming k is positive.\nAnswer: k**(187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {o: 17, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*v**4 + v**2 - 28*v + 29*v - 6*v**4 as a*v**4 + t*v**2 + c*v + y + w*v**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378325 < 1378325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 43*f**3 - 4*f**2 + 3*f - 2. Calculate the least common multiple of m(1) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.021 + 3.921. Let v = -3.883468259 - 0.016528041. Let o = g + v. Round o to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s + 13 - 2*s - 6 - 3*s with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/9, 3, 0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 12112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 15806602?\nAnswer: 15806602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 221100101222 (base 3) in base 4?\nAnswer: 1321303310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.022 - 1.978. What is the third biggest value in 0.4, -29, f?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 189, 184, 175, 162?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*f*m**4 - 36*f*m + 45972*f + 5*m**4 wrt m?\nAnswer: -216*f*m**3 - 36*f + 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 281 = -44*g + 551. What is the closest to -1\/3 in 0, -2\/9, g, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192011451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*32\/(-36)*(-2 - -5). Let p = -16 + w. Is p at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 198, 479, 882, 1407, 2054, 2823?\nAnswer: 3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/6203944 and 17\/69794370.\nAnswer: 279177480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -45\nAnswer: 34\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 106 - 1 + 39)*(k**3 - 2 + 2).\nAnswer: 195*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 4, 5 in decreasing order.\nAnswer: 5, 4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (-9 + 2 - -3). Let t = c - 8. Let f be 2\/3 + 2 + -1. Are t and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p - 5*p**2 - 11*p as j*p**2 + m*p + u and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*s)*(-62 - 15 + 22)*(-3*s - s + 3*s).\nAnswer: 275*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.3226ml to litres.\nAnswer: 0.0243226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 354, 2\/9, 0.24 in increasing order.\nAnswer: 2\/9, 0.24, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164693 = -391*q - 198319 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 622*s**2 - 166*s - 8496. Give h(207).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15948 divided by -790?\nAnswer: 7974\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + -921\/8. Let m = 11.7 - 12. Sort o, m, 5.\nAnswer: m, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/72 and -26\/465.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - d - 40, 2*m + m - 3*d - 48 = 0. What is the remainder when 27 is divided by (m\/2)\/2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3204 and 346833?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001186591813 to six decimal places.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29988, -61206, -92424, -123642?\nAnswer: -154860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 - 6*n**2)*(-n + 2*n + 1 - 10) in the form k*n + t + y*n**2 + l*n**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/4 of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682*o - 683*o = z - 7119, 0 = o - 2*z - 7134. What are the prime factors of o?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:29 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 + 210 + (-13 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*u + 4*t - 38, 3*u - 11 = -t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*k + 2*k**2 - 144*k - 369*k**3 + k**4 + 54*k**3 to b + u*k**2 + p*k**4 + f*k**3 + q*k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -626 - -1424. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4872 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -12. Let m = -105719 + 105722. What is the nearest to x in m, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (1 - 9 - -32 - (24 - (24 + -14)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -26. Let m be (-1256)\/(-52) - (-4)\/(-26). Let o = m - l. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 15*y)*(9*y**3 + 4*y**3 - 4*y**3).\nAnswer: -117*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -11. Suppose 3 = -u + t. Suppose 5*q = -2*o + 15, 0*q + 31 = 3*o - q. Calculate the lowest common multiple of o and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 25.1. Let v = 52 + b. Let p = v + -27.00037. Round p to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 - 104*j - 1693. Determine b(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (532\/228)\/(7\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*u + 3, 0 = u + u - 10. Suppose 0 = 2*w + 4*m - 18, 3*m - 8*m + 30 = x*w. Let q = 27 - w. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 15 - 13. Suppose j + 504 = 3*p - 176, -5*j + 932 = i*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + (-55)\/(-154). Which is the closest to 2\/3? (a) -2\/15 (b) 6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739.0869 litres to millilitres.\nAnswer: 739086.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s - 2. Is t(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 12*b + 3. Calculate d(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/13104 and -101\/13104?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -73*h - 36. Let z be p(-2). Suppose 0 = 3*s - z - 706. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3075*a = -c + 3070*a + 6, 2*c + 3*a + 9 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10001100111101100000 (base 2) to base 16\nAnswer: 8cf60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30082352 to the nearest integer?\nAnswer: 5485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-27)*q*q**49)\/(q*q*q**(-15\/8)*q*q**0) assuming q is positive.\nAnswer: q**(615\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23*j**2. Let s(c) = 11834851*c**2. Determine s(g(t)).\nAnswer: 6260636179*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43616639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**7\/63 - t**6\/9 - 7*t**5\/30 - t**4\/6 + t + 22. Determine q, given that d(q) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5214 (base 7) in base 2?\nAnswer: -11100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1377) + 0 + -3 + (sqrt(1377) + 1 - sqrt(1377)) + 2)**2.\nAnswer: 18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 + t**4 + 602*t**2 - 9817*t?\nAnswer: 20*t**3 + 12*t**2 + 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82712148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 84*t - 879. Let b be h(21). Let q(f) = -f**2 - 4*f + 4. Let k(a) = a**2 + 2*a**2 - 4*a**2 - 4*a + 3. Give b*q(o) - 4*k(o).\nAnswer: o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 - 19*d**4 - 87*d**3 - 117*d**2.\nAnswer: -d**2*(d + 3)**2*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8905.524mm in micrometers?\nAnswer: 8905524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*g**3 - 71*g**2 + 71*g**2.\nAnswer: -410*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 7. Let b = 16 - 12. What is v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -212, -292, -512, -944, -1660, -2732, -4232?\n\"Answer: -12*s**3 + 2*s**2 - 2*s - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -7*f**7\/60 - 125*f**4\/24 + 10*f**3 - 3. Let w(k) be the third derivative of q(k). Find the first derivative of w(b) wrt b.\nAnswer: -294*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.120214 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + 2*g + 1. Let x be w(-1). Suppose -2*c + 6 = -6. Suppose -2*p = 3*i + 29096, -p + 38802 = -c*i + x*i. Round i to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 1802597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f + 396. Calculate m(35).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 369440.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046 (base 12) in base 11?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-8) + (9024\/282 - 310\/(-8))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(6\/11)\/t)*t))\/t*t**(4\/11) assuming t is positive.\nAnswer: t**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1098 + -467. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 655 - 618. Calculate the remainder when 68 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 - -8329\nAnswer: 8441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - 5*(sqrt(160) + sqrt(160)*-2 - sqrt(160)) - sqrt(160) - sqrt(160))\/(sqrt(10) - (-2*sqrt(60))\/sqrt(6)))\/(2*(sqrt(1152) + 1*-2*sqrt(1152))).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/56*-2*6\/(-15)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 313*o**2 - 3319*o - 918. Calculate i(302).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqqjslsqljljjl. What is prob of picking 2 l, 1 s, and 1 j?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, 0.3, 2\/1003, 7, 5 in ascending order.\nAnswer: -3, 2\/1003, 0.3, 1\/3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4 + 0 + 2*z + 5. Let v be d(2). Suppose -v = -u + 8. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/10*(-592)\/(-40)*(697\/(-164))\/17?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let x(y) = -2*y - 2. Calculate i(x(b)).\nAnswer: 8*b**2 + 16*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 10*s**2 + 11*s + 7. Determine l(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 817582 and 457627?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiwhfshifiisfifwff. What is prob of picking 1 h, 2 s, and 1 f?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**5 - 24501*m**4 - 71*m**3 - 104797*m**2 + 16 wrt m.\nAnswer: -180*m**2 - 588024*m - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z - 2*z**2 + 10*z. Let c(p) = 17*p**2 + 9. Let y(i) = -2*i**2 - 3. Let m(s) = -c(s) - 3*y(s). What is m(d(g))?\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**6\/40 + l**5\/10 + 3*l**4\/8 - 17*l**2\/2 + 16*l. Let v(g) be the first derivative of y(g). Let v(b) = 0. Calculate b.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)\/u)**(16\/11)\/((u*u\/u**(-1))\/(u*u**(1\/4))) assuming u is positive.\nAnswer: u**(-13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 62964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4865, -4860, -4851, -4838, -4821, -4800?\n\"Answer: 2*m**2 - m - 4866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, h: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 267 + 75. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2 + -1d72?\nAnswer: -1ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 4, a: 1}. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7464507917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (28 + -16) - -19) + -1 + (0 - -4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1573995ml?\nAnswer: 0.0001573995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 4. Let x be 3 + 1\/(1 - 2). Let h(u) = u**f - x*u + 2*u. Let o(k) = -3*k. Calculate h(o(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7733 times -0.5\nAnswer: -3866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 4. Let o(r) = -4*r - 7. Let z(c) = 4*o(c) + 7*s(c). Let n(g) = -78*g + 17*g + 14*g + 11*g + 38*g. Calculate n(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (4 - 21)) + -14 + 3 + -95\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s + 52*s = -16 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y. Let k(w) = w**2. Let p(u) = 2*u**2. Let a(s) = -13*k(s) + 6*p(s). Calculate x(a(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69590, 69591, 69592, 69593, 69594?\n\"Answer: v + 69589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313\/10 - -139\/5. Which is the fourth smallest value? (a) 0.2 (b) 4 (c) j (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44189340 by -4418934.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5983*h**3 - 322*h**2 + 80*h - 28. Let u(m) = m**3 + 23*m**2 + 2. Let k(r) = -14*u(r) - x(r). What is the second derivative of k(y) wrt y?\nAnswer: 35814*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1110706 and 32.\nAnswer: 17771296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 4, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 97178?\nAnswer: -15548.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -6940.\nAnswer: -19\/6940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124930.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 15. Suppose -9 - d = -2*n. Suppose -2*l + 7*l - n = 0. Solve -l*p - 4 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 2*t + 22 = 57*v - 29*v, 5*v = 2*t - 34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(720))**2 - ((2*sqrt(720) - sqrt(720))**2 + 1).\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 181, 356, 539, 736, 953?\n\"Answer: v**3 - 2*v**2 + 174*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 21*y**2 + 4*y**2 - y.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 16915?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2000955487 - -2000956305.9999181. Let w = 819 - m. Round w to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = 0, 26*t - 64*t - 177 = -27*t - 5*k for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59976 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496938 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/94 and -19\/84.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -26871, 3, -1.\nAnswer: -26871, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 + 310. Calculate the common denominator of -51\/7 and (-1 - (-21)\/t)\/(396\/19965).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 2*f - 6. Is 22 a factor of m(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**19)\/(s\/((s\/(s**(-7\/4)\/s))\/s*s*s))*s**(-10)*s**(-2\/65) assuming s is positive.\nAnswer: s**(3567\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 3*y**2 - y - 7. What is the remainder when ((-39710)\/1100 + (-18)\/4)*(-4 + -1) is divided by a(3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - (25 - 79) - -25.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/4 - j**4\/4 - 9*j. What is the third derivative of b(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4))**33\/((u*u\/u**(5\/8))\/(u*u**1)) assuming u is positive.\nAnswer: u**(203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1647.3 + 1647. Sort -4\/7, -0.12, 7, k in ascending order.\nAnswer: -4\/7, k, -0.12, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227367 and 1701?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1 - 3*x + 0*x + 4*x + (-1 + 1 + 2)*(-2*x + 0*x + x) - 4*x + 3*x - x + x + 0*x + x + 0*x - x - 7*x)*(-1 - 2 - 9).\nAnswer: 132*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.79 - 0.7. Let f = 776 - 778. Which is the third smallest value? (a) f (b) 2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*y**4 - 6*c**2*y**3 + 35982*c**2*y**2 + 7*c**2*y - 17*c*y**2 - 2*c*y - 178578*y**3 wrt y.\nAnswer: -24*c**2*y - 36*c**2 - 1071468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*837\/12*2. Suppose -2*z + 75 = -g. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 2*a**2 - 6*a - 2. Calculate i(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/8 - 2*y**2. Suppose -v = 2*v - 15. Let b(u) = u**2 + v - 5. Give g(b(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (12 - 41)) + -39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -34828?\nAnswer: -34825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-26)\/65*(1 - 56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18354 divided by -2.\nAnswer: -9177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrprbprrbbb. What is prob of sequence rp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 11*j + 4*y + 16, -5*j - 2*y = 20. Let n(l) = -57*l**3 - 3*l**2 + 6*l + 4. List the prime factors of n(j).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = c + 13, 190*c - 5*i - 5 = 193*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -62. Which is the smallest value? (a) n (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 - 23679*m**2 - 328*m + 40983870 wrt m.\nAnswer: 3*m**2 - 47358*m - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59879505 and 690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 944881.2 centimeters?\nAnswer: 9448812000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/9, -1, 5\/4, 6.\nAnswer: -1, -0.4, -2\/9, 5\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 198 = 49 + 180 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4153, -8387, -12619, -16849, -21077, -25303?\n\"Answer: c**2 - 4237*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 28038.1426 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 + 9*r + 7. Suppose -6*l - 157 + 133 = 0. Determine w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + z + 11. Let r be x(-8). Let j be 4\/(-14) + r\/(-63). Let f = 2 + -3. Put j, f, -1\/2 in increasing order.\nAnswer: f, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c, 4*c = -3*q - c + 28. Calculate the remainder when 30 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:22 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594499411.\nAnswer: 11, 79, 684119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5*p - 296555*b**4*p**3*r - 255*b**2*p**3*r - 148*b*p**3*r - 11*p**3*r wrt b?\nAnswer: -120*b**2*p - 7117320*b*p**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, -4, 35 in increasing order.\nAnswer: -27, -4, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.168 + 0.032. Let d = c + -0.29. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3011124993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, a: 2}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/60*-6 + -1*11. Find the common denominator of (0 - w\/(-48)) + -3 + 0 and 23\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 18652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2 + 135*u - 290 = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.71728 times -13.2\nAnswer: -9.468096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56695 + 95180. Is 215 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/131 and 20\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 42 = 5*k, 7*k = p + 2*k + 27. Calculate the least common multiple of p and 1869.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllpypll. Give prob of sequence ypl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d + 20*d + 9*d - 2 - d + 2 + (3 + 2 - 6)*(-d + d - 2*d) + 2 - 10*d + 20*d + 28*d to the form v*d + n and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) 12 (d) 0.23 (e) 48 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and 597?\nAnswer: -1253.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -11*o**5\/120 - 2*o**4\/3 - 5*o**3\/3 - 13*o. Let m(l) be the second derivative of b(l). Differentiate m(h) with respect to h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3 - 11 + 61*q to d*q + v and give d.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5708 divided by 1427?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from akkqkklalpaalaal.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 0*y**2 + y**2)*(2*y**3 + 0*y**2 + 0*y**3 - y**2)*((3 - 5 - 4)*(-4 + 4 + 2) + 3 + 49 + 5).\nAnswer: -270*y**5 + 135*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (-7 - 0 - 8 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from eweweeeeweee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 836788, 838328, 839870, 841414?\nAnswer: 842960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1227, 1\/3, -1529 in ascending order.\nAnswer: -1529, -1227, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 63 + 228 = 0. Let a(x) = -3*x**2 + 2. Let n(i) = -25*i**2 + 19. Let g(j) = 51*j**2 - 39. Let h(t) = 4*g(t) + 9*n(t). Determine m*a(b) - 2*h(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -39\/4*q**4 + 0*q**3 + 0 + 14\/5*q**5 + 0*q**2 + 148*q. What is the third derivative of z(g) wrt g?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*w - 808 = 191*w. Let x = -200 + w. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 - -18)) + 18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 116100 divided by 86\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6401 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*j = -5*j + 3580, -5*j = b - 880. Is b\/(-30)*(-20)\/(-6)*-4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iggg when four letters picked without replacement from {g: 7, i: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*v - 12 + 45, -3*b - 82*v - 90 = -97*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -661 + -195980?\nAnswer: -196641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -89. Let r be 52\/8 + (-5)\/o. Let x(t) = -t**2 + 6*t + 7. What is x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 64 = 4*u, -468*x - 16 = -463*x + u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87307653?\nAnswer: 3, 61, 477091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**8\/1344 + v**7\/840 + v**6\/240 + 9*v**2. Factor l(b).\nAnswer: -b**3*(b - 2)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - -1 - (2 - 220)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -1\/6, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 17. Let g(n) = -n**3 + 5*n**2 + 9*n - 9. Let w be g(6). Let z be u(w). Let t be (2 + z)\/(12\/16). What is the third biggest value in 2, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a - 4*r, 2*r + r = -5*a + 15. Let v be -1 + (a - 3 - -1). Suppose v*g - 1 = -g. Is 1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = t + 3*s, -2*t - 1 = -3*s + 2. Suppose -7 + 24 = -3*a + 5*f, -t*a - 15 = -3*f. What is the smallest value in 2, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 844 + 479 = -v. Let x = -744 - v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0, -2 in decreasing order.\nAnswer: 0, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 491.01 + -491. Which is greater: 66 or s?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8*s - 7)*(4*s - 2*s - s - 4*s + s + 4*s + (-1 + 3 - 1)*(s + 3 - 3) + 4*s - 4*s + s + 4*s + 2*s - 5*s) + (2 - 2 + 2*s**2)*(-5 + 0 + 6).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 28890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.08 (b) 246 (c) 279\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/51 and -45\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160447 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: 0 (base 12) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let c = 5 + w. Suppose c*j + 3*f - 35 = 2*j, -2*j + 76 = 3*f. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78199943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*l = -l - 10, -5*x = -5*l + 5. Let o be 8\/3*(-6)\/(-4). What is the third derivative of -2*t**5 + x*t**2 + t**o - t**4 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(448) + -1).\nAnswer: -1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -y - 11, 2001*y + 4*v - 4 = 2000*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1390*k - k**3 + 1286*k + 1926*k + 1341*k.\nAnswer: -k**3 + 3163*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 114 = -0*k. Calculate the remainder when 74 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:33 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -530, -551, -590, -653?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87503, -350288, -788287, -1401500?\n\"Answer: -87607*r**2 + 36*r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 7696, 3\/2, -0.3 in decreasing order.\nAnswer: 7696, 3\/2, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 + -130. Let j be 6\/12 - (-33)\/2. Suppose -3*x + j = -x - h, -22 = -x + 5*h. What is the highest common divisor of x and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3623240228 and -4.\nAnswer: 3623240224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 14*q + 9. Suppose -6*u - 13 = -7*u. Let r be b(u). Let t(d) = -5*d + 14. What is the least common multiple of 22 and t(r)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690\/(-207)*-9*8\/7320?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-4))\/(-1*(-9)\/48). Let n = -11 - -7. Which is the third biggest value? (a) n (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 167*m**2 - 9*m - 1. Let x be z(-1). Let f = x + -173. Solve 7*j = -f - 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15510066, 15510043, 15509990, 15509895, 15509746, 15509531, 15509238?\nAnswer: 15508855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5187 and 21756007.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*f**3 - 22*f + 0 + 34\/3*f**2.\nAnswer: -f*(f - 66)*(f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-18 - -7) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d**2 - 11*d + 8. Let r(g) = 7*g**2 - 4*g + 3. Give -3*q(a) + 8*r(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2545 (b) 1\/14 (c) 0 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 + (-2)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30513\/13 - -2347. What is the closest to -0.3 in -0.053, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 362, 729, 1098, 1469?\n\"Answer: c**2 + 364*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 4 = 0, -4*s + 3*w + 18 = 0. What is the least common multiple of (-1 - 1*-4)\/(36\/72) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 2:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 85*p - 322. Give n(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.5396085929 from -695.\nAnswer: -698.5396085929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-1)\/(-10)). Let w be 2\/(-12) - m\/(-6). What is the biggest value in 0.2, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 44. Let y be i(7). Put 2, 41, 1, y in increasing order.\nAnswer: 1, 2, y, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -398517288 - -880.\nAnswer: -398516408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/359 (b) 9 (c) -191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, z: 1, t: 5, i: 2}. What is prob of picking 1 y and 2 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00222213836 rounded to five decimal places?\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-8 + 6 - 16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/21 (b) 2\/11 (c) 2.5 (d) 1 (e) 1\/361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14965617 and 4094?\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 4*c = -33, c = 3*v - 13. Suppose -v*r - 94 = -434. What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from {m: 4, y: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w - 480. What is p(55)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(125))*-1 - sqrt(125))*3 + 3)**2 - (5*-4*((sqrt(125) + -5)**2 - sqrt(125)) + 5).\nAnswer: -2180*sqrt(5) + 7819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let g(a) = 101764*a**2. Determine g(v(o)).\nAnswer: 101764*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84) + (sqrt(84) - sqrt(84)*1) + sqrt(84)) + sqrt(84) + sqrt(84))\/(sqrt(972) + 1*sqrt(972)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 12:49 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23052 divided by 11526.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91936 divided by -45968.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21927 and 26882502?\nAnswer: 26882502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*r**4 - 79*r**3 + 1294?\nAnswer: -32*r**3 - 237*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*b**2*w**3 - 10453*b**2*w - b*w**2 + 1638*b*w - 14*w**3 - w + 5 wrt b.\nAnswer: 198*w**3 - 20906*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121023 + 123?\nAnswer: 121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8344 (base 9) to base 14.\nAnswer: 232b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*g + 355, 115 = 2*g - 4*r - 51. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -478912 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -612 + -11?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 6 + 5)*(-2*u**2 - 3*u**2 + 3*u**2) to the form s*u**2 + d + q*u and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**3 + 1\/8*w**4 + 2*w**2 + 0*w - 7\/30*w**5 + 0. Let a(p) = -11 + 4*p**2 + p - 3*p**2 + 13 - 6*p**2. Give -11*a(n) + 4*r(n).\nAnswer: -n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -350 + 153. Suppose -36*m + 11077 = -407. Let s = b + m. What are the prime factors of s?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57513248.81 to the nearest one hundred thousand.\nAnswer: 57500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*j - 17*j**2 - 360*j as p*j**2 + y + q*j and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:48 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-1 + 1 + -491 + 500).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + k + 3 - 0, q - 4*k + 15 = 0. Let n(r) be the second derivative of -r + 1\/2*r**3 + 0 + 3\/2*r**2. Determine n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2) + -6 + 8. Suppose -5*z = 2*w - z - 18, 2*z - 10 = -h*w. Let q = -1.5 + 2. Which is the closest to 0.1? (a) w (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12812*y + 1165. Is d(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3321132 rounded to four dps?\nAnswer: -1.3321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (256\/96)\/((-1)\/(-3)*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + j**2. Let i be c(-1). Suppose i - 1 = -2*r. Is (r - (-3)\/9)*-3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 354 and 944?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 32093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1842283251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 43344051?\nAnswer: 43344044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 - 245*l**2 + 14*l - 23. Let g(n) = -2*n**3 - 83*n**2 + 5*n - 8. What is -6*b(t) + 17*g(t)?\nAnswer: 2*t**3 + 59*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-15)\/(-10)) + 63\/(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 5*t - 21. Let w be r(-5). Solve 1 = 5*c - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7290 + 45*b**3 - 1972*b**2 + 48573*b + 4392*b**2 - 16308*b = 0. What is b?\nAnswer: -27, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 4)*(3*d**2 - d**2 + 5*d**2 + (2*d + 1 - 1)*(d + d + 0*d)) to the form q*d + w + c*d**2 and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -9, 228, 700?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h**5 + 108922*h**4 + 251966*h**3 + 34286*h**2 - 252048*h - 143208 = 0 for h.\nAnswer: -1326, -54\/41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v - 1. Let n be k(-4). Let j = 4 - n. Let s(o) = o**3 - 1 - o**3 - o**3 - 4*o + o**2 - 4*o**2. Calculate s(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (226\/4)\/((-10)\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - j**3 + 3*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y**2 - 6*y - 14. Suppose 4*j + 5*b + 22 = -0*b, 2*j - b + 18 = 0. Let z(c) = -15*c**2 + 4*c + 9. Calculate j*z(n) - 5*g(n).\nAnswer: 5*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12211 (b) 2.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from {o: 5, x: 5, e: 1, u: 6, c: 2}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 2*q**2 - 85*q - 468. Does 14 divide g(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(400\/15))\/((-11)\/(-44)). Factor -t*c**2 + 1\/2*c + 0 + 1\/4*c**3.\nAnswer: c*(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -25, -59, -107, -175?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -62607\/8 less than or equal to -7826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - g - 20*g to the form s*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3438 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 110, 1, -371, -4, 3 in descending order.\nAnswer: 110, 3, 1, -4, -65, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -875 and -40999980.\nAnswer: -41000855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/10 + 10\/(-25). Let m be -4 + 4 - (-3 + r). Let s = m + 28. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -100. Let s be m - 0*(-1)\/4. What is the units digit of 90 - (s - (-3 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {q: 2, g: 4, r: 8, x: 1, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -309101.73445 - -309109. Let q = u - -0.11915. Let y = -7.4 + q. Round y to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 + -281. Which is the nearest to f? (a) -2 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80744218 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + 129. Let a be 1 - (-2)\/((-4)\/(-82)). What is the highest common divisor of k and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 41\/4717049?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3 + ((-40)\/24)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44057776 divided by -7.\nAnswer: 6293968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.46 - 0.06. Sort 0.3, g, 4\/7 in decreasing order.\nAnswer: 4\/7, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 80\/3. Let t = 12 + -13. Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1.248?\nAnswer: 0.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*r + 3, -2*l - 1 = 4*r + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1960) - (2*sqrt(1960) + sqrt(1960))*3))\/(-5*-1*sqrt(968)*5).\nAnswer: -224*sqrt(5)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238478.\nAnswer: 2, 3, 206413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -918 divided by 8604\nAnswer: -51\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + 1 - (sqrt(7) - (sqrt(112) + -1 + sqrt(112) - sqrt(112))).\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -4*o - 4*s - 82, 4*s = -3*o - 116. Let y be (-6)\/o*(-9)\/(-3). Find f such that 0 - 1\/2*f**3 + 1\/2*f**2 + 0*f - 1\/2*f**4 + y*f**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n**2 + 3268*n - 936 = 0 for n.\nAnswer: -117, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*t - 96, 5*l + 2*t + 156 = t. Let r = l - -50. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 10, p: 6}. Give prob of sequence yy.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - o + (1 - 2*o - 1)*(1 - 2 + 3) - 6 + 6 + 11*o - 8976 + 8976 + 39*o in the form s + u*o and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 71. Give r(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 - 9*b**3 - 44*b**2 wrt b.\nAnswer: -180*b**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34 - 25*v**2 - 144*v**3 + 12 - v**4 + 19 + 0*v**4 wrt v?\nAnswer: -24*v - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 7*z**2 + z + 1. Determine t(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4 + 4)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28116 take away 1.058?\nAnswer: -28117.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 - 8 = 0. What is the greatest common factor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 4*d + 3. Let m = 7 - 5. Let i be y(m). Suppose -i*z + 38 = 8. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2 + 362839*c + 241894 = 0.\nAnswer: -2\/3, 120947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41652059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1160*z + 71954. Let r be m(-62). Suppose -3 = -2*c + 3. Solve 4*x + 13 = -5*j - 22, -r = 5*x + c*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1017162 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + l - 11, 4*p + 30 - 4 = -2*l for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20771, 19803, 18835, 17867?\nAnswer: 16899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, q: 10}. Give prob of picking 3 q.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133083698 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -406*y. Let v(m) be the second derivative of 4*m**4\/3 - 5328*m. Give v(u(a)).\nAnswer: 2637376*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51390 and 50?\nAnswer: 256950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2487883 + 2\nAnswer: -2487881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 8. Let p = 9.1 - -1.9. Let m = p - 13. Which is the biggest value? (a) 3 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 93*x**2 + 596*x - 209. Let y be w(99). Let m(g) = 4*g + 4. What is m(y)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9 + 2.1. Which is smaller: 2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10) + -1 + (-482)\/(-300). Let j = -17\/1950 - o. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 2:28 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 916 and 5024260?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -2*sqrt(448) + sqrt(448) + sqrt(448))**2 - (sqrt(112) + -1)**2.\nAnswer: 8*sqrt(7) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 + 506*b - 508. Let i(t) = 13*t**2 + 4*t + 2. What is the remainder when i(-2) is divided by d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -55*q. Let t(n) = n**3 - 8*n**2 - 11*n + 22. Suppose 8*a - 9*a = -9. Let l be t(a). Let c(y) = -16*y + 10*y + l*y. Give c(w(s)).\nAnswer: 110*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607922637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:57 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -558a?\nAnswer: -5589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 19*q**2 + 7*q + 10. Does 26 divide x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78978551.\nAnswer: 733, 107747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/(14\/(56\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/2 - 5*a**3\/3 - 63*a**2\/2 - 69. What is the second derivative of l(w) wrt w?\nAnswer: 12*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:40 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 50*s - 17. Let o(d) = -17*d + 6. Let k(c) = 6*n(c) + 17*o(c). Let f(b) be the third derivative of b**4\/24 + b**2. Determine f(k(t)).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879418465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2*v**4 - 71139*j**2*v**2 + 67*j**2*v + 3*j**2 + 40*j*v + 1 wrt v?\nAnswer: -48*j**2*v**2 - 142278*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 24. What is the units digit of 13 + a - (2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 2 p when four letters picked without replacement from {p: 4, d: 1, m: 4, f: 5, s: 3, j: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:23 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*p**3 + 25*p**3 + 9*p + 30*p**3 to u + t*p**2 + k*p + b*p**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 10*r**2 + 13*r - 19. Let g be s(11). Solve -5*t - 27 + 5 = y, 24 = 3*y - g*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 - 2*w**5 + w**5 - 8 + 8 + 2*w**5 + (1 - w**3 - 1)*(0*w**2 - 3*w**2 + 2*w**2).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 240. Let r = o - -44. Suppose r = 4*q - 3*h, -5*q = 3*h - 172 - 10. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*p + 630*p - 2*k = 17, 3 = -4*p + 9*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i*i)\/(i\/((i*i**(4\/3))\/i))*(i\/(i\/i**11))\/i*i**(-19)*i assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 8*q - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/(-910) + 2\/(-5) - 3193598\/4. Round l to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16543113, -16543092, -16543071?\n\"Answer: 21*g - 16543134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8333, 8341, 8349, 8357, 8365?\n\"Answer: 8*z + 8325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 + (4 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.929 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1, 2*w + 84 = 2*t - 106. Calculate the lowest common multiple of 8 and t.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 0 - 3*v**2 - 622*v + 0.\nAnswer: v**2 - 622*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4471 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.51?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**3 - 545 + 920 - 400.\nAnswer: -16*f**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let g be p(-6). Suppose 58 = -4*c + g. Calculate the remainder when 14 is divided by (-2 + 1)\/(2\/c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -304016*h**3 - h**2 - 21*h - 7577538?\nAnswer: -912048*h**2 - 2*h - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 8:01 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81\/2 + 39. Let s = 0 - -0.2. Which is the nearest to 0? (a) -2\/5 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -93b34?\nAnswer: 93b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1340, 0.4, 30851 in increasing order.\nAnswer: -1340, 0.4, 1, 30851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 148 = f - 8*z, -2*f + 3*z + 241 = 0. Find the third derivative of -83*x**4 - f - 56*x**4 - 52*x**4 + 3*x**2 - x**2 - 33*x**4 wrt x.\nAnswer: -5376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3119, -3069, -2953, -2741, -2403, -1909, -1229, -333?\n\"Answer: 5*f**3 + 3*f**2 + 6*f - 3133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113312 - 2?\nAnswer: 3113310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)\/f*f)\/((f\/((f*f*f**(-4)\/f*f)\/f)*f*f)\/f*f))**(-18\/5) assuming f is positive.\nAnswer: f**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -24, 15, 4, -4 in decreasing order.\nAnswer: 15, 8, 4, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**4 + 5*r**3 + 5*r**2 - 5*r - 13. Let c(g) = g**4 + 3*g**3 + 3*g**2 - 3*g - 7. Let p(i) = -10*c(i) + 6*t(i). Differentiate p(v) wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -100, -0.2054, -3?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4785401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4219*m - 316148 = 63562 for m.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 3\/5 (c) -1\/2 (d) 7 (e) -264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose x*n = 3*r + 258, -4*r = -n + 5*n - 304. Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -13\/4?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**(-19))\/(k*k\/(k*k**(5\/4)))**(-29) assuming k is positive.\nAnswer: k**(-129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2397)\/(-94)*(-10)\/(-15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 179 = -159. Solve 4*h - 4 = 5*t, -t + h - r = -4*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/1815*-187*(3 + 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 4, -5, 3, -191 in descending order.\nAnswer: 21, 4, 3, -1, -5, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from bbieebibibbj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35552271*c**5 - 36648600*c wrt c?\nAnswer: -711045420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 253127872?\nAnswer: 759383616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624204 and 29724?\nAnswer: 624204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16720 + 16889. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**8\/4032 - v**6\/144 - v**5\/36 + 7*v**4\/12 - 2*v**3\/3 + v - 39. Let c(g) be the third derivative of m(g). Factor c(b).\nAnswer: 5*(b - 2)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*a - 1021, 5*a + 44*h - 1023 = 42*h. Let f be ((-246)\/a)\/((-9)\/(-30)). What is the closest to -6\/7 in -5, -1, f, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -74395742.\nAnswer: -74395735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -3. Suppose -3*y + 65 = -b. What is the highest common factor of 125 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 16 (b) -1\/4 (c) -2 (d) -4.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.01 + 0.9766. What is o rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-160)*8*(-1 - -2)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 22*m - 26*m. Let u(b) = 13*b**2 - 30*b + 16. Let f(a) = 11*a**2 - 29*a + 15. Let w(d) = m*u(d) + 6*f(d). Differentiate w(q) wrt q.\nAnswer: 2*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (4 + -3 + sqrt(147) + -3 - -6*(sqrt(147) + sqrt(147) + 1 + (sqrt(147) - (sqrt(147) + -1))))))**2.\nAnswer: 72072*sqrt(3) + 898704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 39*z**2 + 128*z - 84. Let w be a(42). Put 4, 2\/165, w, -11 in descending order.\nAnswer: 4, 2\/165, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/31)*h**(-13) assuming h is positive.\nAnswer: h**(-405\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -400682, -801087, -1201480, -1601855, -2002206?\n\"Answer: z**3 - 400412*z - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 7*z**2 - 4*z - 8. Let g(r) = -2*r - 15. Let d be g(-4). Give j(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 3\/2*n**2 - 1\/14*n**7 + 3\/10*n**5 + 8*n - 1\/2*n**3 + 1\/10*n**6 + 0 - 1\/2*n**4. Factor p(l).\nAnswer: -3*(l - 1)**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c38b (base 15) to base 10.\nAnswer: 41306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f**2 - 325*f - 1045. Is s(-140) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 36803*v - 3201861. Determine d(87).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*c - 254996, -34710 = -4*k - c - 238711. Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2, -7, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6649 - -78963?\nAnswer: 72314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.49 - -48.598. Let z = -49 + r. Let s = z + -0.345. Round s to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016062275556 to 7 decimal places.\nAnswer: 0.0001606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/8 - 62\/(-72). Let c be (-10)\/(-6)*(-2)\/(-5). What is the third smallest value in o, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.428677l?\nAnswer: 428.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25137 (base 8) to base 5\nAnswer: 321342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202300, 404602, 606904?\nAnswer: 809206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542343061.\nAnswer: 13, 17, 73, 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -450 and 196389978?\nAnswer: 196390428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t + 705 + 571 = 0 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 55*r**2 - 1140*r - 2500 = 0.\nAnswer: -2, 250\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 - 300. Which is bigger: -8\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + y)*(3*y**2 - 6*y**2 - 5*y**2)*(5 - 5 - 2)*(-4*y + 3*y + 4*y).\nAnswer: 96*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-6)\/(-8) + (-441408)\/(-256)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*w - 12, -u = -69 + 73 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3180)\/12084*4\/(-200).\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*((-5 - 2 + 5)*(f**2 - 4 + 4) + 5*f**2 + f**2 - 5*f**2).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5295295549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00305738489 rounded to six dps?\nAnswer: 0.003057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145685880 divided by 5.\nAnswer: 29137176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.04 + -1.24. Sort m, 4, -2\/11, 8.\nAnswer: m, -2\/11, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r. Let g be m(-1). Let c(y) = -y**2 - 6*y - 2. Let t be c(g). Let z = 0 + t. Solve z*n + 5*s = 18, -5*n + 4*s + 3 = 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -25*g + 3. Let x(v) = v**3 - 13*v**2 + 14*v + 4. Calculate the remainder when w(-2) is divided by x(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-20 + -4816)\/(-124).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-611)\/282))\/(12\/46)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6635 (base 9) to base 7\nAnswer: 20156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 3*g**7\/70 - 5*g**4\/24 - 12*g**2. What is the second derivative of v(o) wrt o?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -629569, -2518007, -5665299, -10071451, -15736469?\nAnswer: -22660359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 179*p + 7574. Let x(b) = -b**2 + 178*b - 7573. Let g(j) = 5*x(j) + 4*y(j). Let g(s) = 0. Calculate s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 27 = -3*z, 2*s + 17 = 13*z - 8*z - s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222616 (base 7) to base 4.\nAnswer: -1003010103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83993, -167998, -252039, -336134, -420301?\n\"Answer: -3*h**3 - 83984*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s**2 - 6*s + 2*s - 4*s**2. Let k(i) = 2*i**2 + 2*i. Let v(c) = 11*k(c) + 6*o(c). Factor v(n).\nAnswer: -2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205396 is divided by 227.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:59 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q**35)**(-9\/10) assuming q is positive.\nAnswer: q**(-333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-442)\/51)\/26 - (-367)\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4, 2*r - 16 - 18 = -4*s. Calculate the remainder when 46 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 371. List the prime factors of j.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.60311 hours in milliseconds?\nAnswer: 27371196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12207*h**2 + 30 - 10 + 12366*h**2)*(4*h - h - 2*h) as t*h + f + d*h**2 + v*h**3 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*k + 6 = 32, 28 = 4*w + k. Suppose -b - 4*d + w = 0, b + 9*d - 7 = 4*d. Let c be (2\/4)\/(5\/20). Calculate the greatest common factor of b and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1045 divide 231505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 587. Determine g(-34).\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10416 and 37\/1092?\nAnswer: 135408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {e: 1, x: 1, v: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (256*f**2 + 214*f**2 - 472*f**2 + 1987*f)*(f**2 + 0 + 0 - 2) to u*f + j*f**4 + w*f**2 + i + r*f**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/(-6) - (-13 + 680\/51). What is the third derivative of -2*g**2 + 175*g + 14*g**5 + g**2 + 2*g**2 + w*g**5 + 51*g**5 wrt g?\nAnswer: 4620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*n + 10, 42 = -0*u + 2*u - 5*n. Calculate the common denominator of 16\/(-3)*6\/u and 39\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*s = -4*t + 5, 5*t = 2*s - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {d: 2, q: 1, i: 1, n: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 + -161. Let p be (-5)\/3 - (-1 + -1). Which is the nearest to 0? (a) x (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - 2 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -469.\nAnswer: 5\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, l: 2, e: 1, n: 7, v: 1}. What is prob of picking 2 n?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 39430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1088\/88)\/(117030\/1034 - 113)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/54*(-25 + 1). Let i = u + -11. What is the third biggest value in 0.06, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21*(-3333)\/(-6). Let f = s - -159. What is the nearest to 2\/5 in f, 2, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiii. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7045211 days to hours.\nAnswer: 16.9085064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 44*o + 88 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -5*h + 90 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 10*u + 16. Let q be m(9). Suppose 2*h = j + 33, 3*h - 2*j = -q*j + 17. Let x = 2 + h. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 434 = -25*a - 15*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 7, -3 in decreasing order.\nAnswer: 7, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 164 = 2*l. Suppose 4*q - 2*q - l = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497676186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47827640*b**4 + 2*b**2 + 15422125?\nAnswer: -1147863360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 120393129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*t - 133*t - 78*t)*(-4*t**2 + 2*t**2 + 4*t**2).\nAnswer: -244*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.7 (b) -23 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - a**4 + 4*a**4 + (2*a**3 - 3 + 3)*(-2*a - a + 0*a).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 8, 2*n + 3*q - 102 = -0*n. What is the third derivative of -52*g**3 - 95*g**4 + 97*g**3 - 18*g**2 - n*g**3 wrt g?\nAnswer: -2280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105050032, -105050026, -105050018, -105050008, -105049996?\n\"Answer: l**2 + 3*l - 105050036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6+-0.12195721979\nAnswer: 5.87804278021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1584, 1571, 1558, 1545, 1532, 1519?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -935 - -939. Determine n, given that -3\/4*n**2 + 3\/4*n**d + 3\/4*n**3 - 3\/4*n**5 + 0*n + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 27*m + m - 8. Let a be h(-5). Suppose 0 = -p - 5*c + a - 47, 0 = -5*p + 5*c + 385. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2238, -3651, -5064, -6477?\nAnswer: -7890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30321 - -394171\/13. Which is the nearest to -0.1? (a) m (b) -1\/7 (c) 4\/9 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-986)\/(-1190) + (18\/54 - 32\/42). Let x = 0.1 - 0.1. What is the closest to p in -2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6*k - 24 = 5*q, -4*q + 4*k - 16 = 0. Factor 1\/4*v + q + 1\/2*v**2 + 1\/4*v**3.\nAnswer: v*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 20 = 0, 33*q + 8 = 4*f + 28*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -18. Which is the nearest to -0.3? (a) 0 (b) 1\/8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:04 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -4. Suppose 3*s + 581 = 4*v, -4*v = -9*v + 3*s + 730. Suppose -147 = -y*m - 5*w, 3*m - 7*m = 3*w - v. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -2*z + 4, 3*u + 0*z - 6360 - 6401 = 6*z - 12788 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5053*s + 4*s**3 - s**3 + 5045*s in the form c + x*s + p*s**3 + k*s**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*4*294\/(-4). Let g(m) = 131*m - 290*m + h*m. Let j(l) = 3*l**2. Calculate j(g(u)).\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.69 - -4.7002. Let l = 102.2102 - b. Round l to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 973608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -18. Is (-116 - (-3)\/1)*h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/19 (b) -3\/14 (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267 and 183017642?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:54 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -4.6. Is d > -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21175 divided by -5?\nAnswer: -4235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*(-12 - (-2 - 9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 296 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - -3 - (1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/(4\/30). Let m(g) = -g - 3*g - 1 + u*g. Suppose -4*c + c = 9. Calculate m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 30826784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 461428.3 to the nearest one thousand.\nAnswer: 461000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/15 - x**3\/6 + x**2. Let n be c(1). Suppose -8 = -4*r, n*a = 2*a - 2*r + 19. Solve a = 2*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -330, 211 in ascending order.\nAnswer: -330, 2, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -17. Suppose o*k - 29 = 31. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/((8\/(-78))\/4). Let k(g) = s*g + 30*g - 102*g + 30*g. Let l(h) = -h**2. Determine k(l(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*p**2 + 195636604*p - 195636604*p.\nAnswer: -1299*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**3 - 16*h**3 + 30*h**3.\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 6, 186, -2 in increasing order.\nAnswer: -5, -4, -2, 6, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, o: 2}. Give prob of picking 2 r and 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1938, 1\/11 in descending order.\nAnswer: 3, 0.1938, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - 27\/(-6). Let b be 0 + 2 - 2\/(-2). Suppose 0 = -j + c - b. Calculate the highest common factor of 16 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 976*w*x**2 + 7*w*x + 51*w + 4*x**3 - 4*x - 2 wrt x?\nAnswer: 1952*w + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18815 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24597175 is divided by 188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 3*m**2 + 2*m. Let b = -5 - -1. Let r be y(b). Solve -3*i = -8 + 2, 0 = -s - 5*i + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 3*o - 3. Let x be n(4). Let m(l) = 2*l**2 + l. Let j be m(x). Let w = 10 - 9. Solve -g = -w + j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.7 + 1.2. Let m = h - -17.3. Round m to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -0.5 (c) -4.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/4 - 524695*t**2\/4 + 68826473103*t\/4 - 68825948409\/4 = 0. Calculate t.\nAnswer: 1, 262347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3694.3991 + -3692.4. Let z = r + -2. What is z rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8131, -8130, -8129, -8128, -8127?\nAnswer: -8126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 68 (b) -5 (c) -36\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:50 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 559971 minus -187.2653?\nAnswer: 560158.2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.6402583 months?\nAnswer: 0.220021525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3539185763 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s*y**3 + 248549*s*y**2 - 2*s*y + 781*s + 2*y**3 - 169*y wrt y.\nAnswer: 12*s*y + 497098*s + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3*(-9 - -6). Suppose g = 7*q - 3. What is the remainder when 1 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 - -49?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 67478242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18309012*g**2 - 9154498*g**2 - 9154520*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**2 - 20936*i = 0?\nAnswer: -5234, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*f + 29 - 25, 2*y - 66 = -23*f for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8306, -16532, -24680, -32750, -40742, -48656?\nAnswer: -56492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -6, 0 in descending order.\nAnswer: 42, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 3, k: 1}. What is prob of sequence kr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/sqrt(392) + 4 - ((sqrt(132)\/(sqrt(6) - sqrt(54)) + sqrt(22))\/(sqrt(110)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 5*sqrt(2)\/7 + 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 10*b + 633 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c + 64. Is j(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-3 + 1)*(-3)\/6. Let u be -2 - (z\/((-6)\/(-13)) - -1). Put 1\/5, u, -2, 0.1 in descending order.\nAnswer: 1\/5, 0.1, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*((((j\/(j\/(j\/(j\/(j**(-3\/10)*j)))))\/j)\/j)\/j)\/j*j)\/j*j*j\/j**2*j)\/((j\/j**(2\/49))\/j**36) assuming j is positive.\nAnswer: j**(17023\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 103960?\nAnswer: 103960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2000)\/(-15)*(6 + 5 + (-2303365)\/(-10)). Round w to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436 + -393. Suppose w*r = 30*r. Solve 4*c + 4 = 3*s + s, r = s + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30263 times -4?\nAnswer: 121052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 8*c - 7. Let g be o(6). Suppose -88 = -g*m + 92. Find the common denominator of 18*(m\/16 + -3) and -39\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -2577, -8072, -18595, -35820, -61421?\nAnswer: -97072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -244775 - 1?\nAnswer: -244776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*m - 24 = 0, -4*a + 9*m = 6*m - 26. Let u be (0\/a + 4)\/12. Let p = -0.2 + -1.8. Put u, -0.1, p in increasing order.\nAnswer: p, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1194 - 15531\/13. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**2 + 1141*z - 254. Calculate r(-95).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let s = x + -1. List the prime factors of (2\/s)\/((-10)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5945 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 11*p + 15. Let m(t) = t**2 + 3*t - 4. Let q(r) = 6*b(r) + 22*m(r). Determine q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*u + 34 = 0, u + 30 = -0*m + 4*m. Calculate the smallest common multiple of 14 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let w(c) be the third derivative of -89*c**5\/60 + c**4\/8 + 14*c**2 - 2. Calculate w(z(v)).\nAnswer: -89*v**4 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 4*q**2 + 7*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 9:02 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/18)\/(16\/19092). Let s = k + -3438. Let b = -491 + 1069\/2. Find the common denominator of b and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - 1 - (-23 + 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2 + r - r + 5 + 2*r**2. Let y(a) = a**2. Determine y(w(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 2)\/(6\/(-9)). Is r > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 3*g - 16. Let n be w(-9). Let c = n + -32. Solve q = 3*q + c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -0.020025, -2\/3.\nAnswer: -1.4, -2\/3, -0.020025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41445611 (base 7) in base 11?\nAnswer: -1a74657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26354633 is divided by 2196218.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-1\/33)*k**13\/k**(-5\/2) assuming k is positive.\nAnswer: k**(1027\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from mjmmjjmmmmjmmjmmjm?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0629 - 1.9371. Which is the nearest to -0.6? (a) -0.4 (b) q (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1239)\/(-12) - (-18)\/24. Suppose -26 = i + 4*q, -6*q + q = -4*i - v. Let x = -21 - i. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(275) + sqrt(275) + 3.\nAnswer: -2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 84 - 138 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*p - 37*p + 189*p + 128*p.\nAnswer: 376*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + m, -19 = -4*q + 5*m. Solve 2*n - 1 - q = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2932.9998 months?\nAnswer: 0.24441665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/720 + n**5\/20 - n**4\/6 - 6*n**2. Let i(t) be the second derivative of j(t). Give i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6653 - -6774. What is the remainder when 4595 is divided by f?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5962 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 849994, 1699857, 2549720, 3399583?\nAnswer: 4249446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0 + 3*z**2 - 2\/255*z**5 + 0*z + 0*z**3 + 1\/340*z**6 + 1\/204*z**4. Factor r(l).\nAnswer: 2*l*(l - 1)*(3*l - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = 74*o - 23520. Solve 241*w - k + 2 = o*w, -3*w - 3*k + 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**6 - 12*o**2 + 0*o**4 + 0*o**3 + 0*o + 0 - 17\/210*o**7 - 11\/60*o**5. What is the third derivative of p(n) wrt n?\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.10461 rounded to 2 decimal places?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 6:34 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x + 100. Let t = x - 0. Let f = -9 - t. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*x - 15 = 0, -3*p = x - 3*x - 11. Solve 2*c - 13 = -5*l, 0 = -p*l - 4*c - 2 + 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**3 + u**2 - 1. Let w be i(1). Let x be 42\/w*(-6)\/(-4). Solve 3*s - 5*p = 20, 2*s + 5*p + 13 = -x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16509762 by 6.\nAnswer: -2751627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25394023.8s to days.\nAnswer: 293.9123125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229862, 919422, 2068680, 3677636, 5746290, 8274642?\nAnswer: 11262692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence memt when four letters picked without replacement from {k: 1, e: 1, b: 4, y: 2, m: 2, t: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -46\/335 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-154*d - 64*d - 529*d - 37*d)*(-4*d - 3*d + 6*d) to the form w*d + p*d**2 + x and give p.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8445 is divided by 256.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2\/3 (b) 0.09 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17019.6 + 17019.6. Let p = -7.3 - -7. Which is the smallest value? (a) -2 (b) x (c) 2\/49 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295758802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 divided by -123?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/26 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 12. Let r(s) be the second derivative of -s**5\/20 + 5*s**4\/3 + s**3\/6 - 29*s**2\/2 + 15*s. Let x be r(20). What is the tens digit of u(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.197 + -0.697. Which is the third biggest value? (a) m (b) -1 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from sssswswsss?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1045*l - 15. Let h = 31 + -18. Let x be j(h). What is x rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18427817.\nAnswer: 2897, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82632 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/30 - 7*y**4\/24 + y**3 - 7*y**2. What is i(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3438328*g**2 - 6911302 with respect to g.\nAnswer: -6876656*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) + (-63)\/6. Let j be (t\/4)\/(2\/4). Suppose -2*n = -2*d + 3*n - 23, 15 = -3*d + n. Sort j, d, 2.\nAnswer: j, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (sqrt(3) - sqrt(3)*-2) + sqrt(3) + 4 + ((4 + sqrt(144)\/sqrt(3))*2)**2.\nAnswer: 132*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12*m. Let x(h) = -7*h. Let t(s) = -4*r(s) + 7*x(s). Let l(v) = 26*v**2. Determine t(l(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/((-10)\/(-8)) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128019 divided by 42673.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-2085)\/(-260))*(0 - -4)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 - 2. Let x be y(4). Let h be x\/4*2 - -14. Calculate the remainder when (h + -11)\/(2\/13) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + k**3 + 1 + 2*k**2 - 2*k**2. Let v be y(2). Let x(j) be the first derivative of j**2\/2 - 4*j + 4. Calculate x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1293*o - 2583*o + 1288*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**7\/189 - d**6\/45 - d**5\/30 - d**4\/54 - 4*d. Factor i(z).\nAnswer: -2*z**2*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*r + 11 = 0, -a + 6*a - 4*r + 21 = 0. Let b be (-5)\/((-5)\/6)*3. Let y be 2 + a + b\/2. Solve -4*l = y + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -7*h. Suppose -h*p = -0*p - 4. Let k(l) = 0*l**p - 3*l**2 + 2*l**2 + 1. Calculate k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4 = 4*c - 3, -5*w = 3*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12432 and 44548.\nAnswer: 534576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 3*j**2 - 8*j + 6. Let d be l(5). Suppose -d*u - 25 = -11*u. Put u, 4, -4 in descending order.\nAnswer: 4, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/4845, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10829 or 10833?\nAnswer: 10833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 250574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -55. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*h = -2*h + 10, -2*h - 6 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13765 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 5*m**2 + 4*m**2)*(1 - 1 - 1) - 6*m**2 + 2*m**2 + 5 - 479904*m + 479896*m in the form h + y*m + z*m**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28115, 56114, 84113, 112112, 140111, 168110?\nAnswer: 196109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7761.829l in millilitres?\nAnswer: 7761829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -854*d + 151. Let i(r) = 175*r - 30. Let a(u) = 6*h(u) + 29*i(u). Suppose 0*z = -4*z - 52. Is a(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 - -0.56. Let h be (5 + -1)\/(2 + 6 + -4). Let j = 0.06 + 0.94. What is the closest to j in h, r, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2. Let o(m) = -252*m**2 - 4*m. What is o(s(v))?\nAnswer: -4032*v**4 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Suppose -12 = -z - 2*z. Let l = -9 + 15. Let h(q) = z*q + 0*q - l*q. Give i(h(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17220)\/(-525)*3*(-4)\/(-48)?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-17 - -10) + 6 + -1. Which is the third biggest value? (a) -13\/6 (b) 2\/13 (c) m (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gucgqgu. What is prob of sequence gg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394.1 less than -1973779.95?\nAnswer: -1975174.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 6*a**2 + 7*a + 3. Let v be t(-7). Suppose v*y - 2*y = 19. Solve y = 5*k + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -3221?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + 3*p**4\/8 - 5*p**3\/6 - 717*p**2 - 9*p. Give v(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 8 = 264*j - 272*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*w + 4*g, w - 4*g = -2*g + 1. Suppose -w*z - 4*p = -22, -2*z = -4*z - 2*p + 12. Solve -z*k + 5*k - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2 + -31007471549.\nAnswer: -31007471545.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.04, -5, -1\/12, 136 in increasing order.\nAnswer: -5, -1\/12, -0.06, 0.04, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446960 divided by 419?\nAnswer: 5840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 39.9, 3 in increasing order.\nAnswer: -2, -1, 3, 39.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -715, -2312, -5379, -10396, -17843, -28200, -41947?\nAnswer: -59564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39177?\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o - 32*o + 17*o - 14)*(o + 0*o + 2*o).\nAnswer: -3*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19*v + 86. Let i be r(-6). Let y be (40 - 36)*(-1)\/i*2. Which is the closest to -1? (a) y (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 19. Let x be p(15). Let y(w) = -6*w - 2. Let h(n) = -17*n - 5. Give x*h(r) + 11*y(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/5)\/(2\/4)*-55. Find the second derivative of 11*w + 51*w**3 + l*w**3 - 119*w**3 wrt w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 40*m. Let n be c(1). Let r = 66 + n. Suppose -v - v = -r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(48))**2 - (sqrt(19) - sqrt(76)*-4)) + 5 + (sqrt(95) - (sqrt(95) + (sqrt(95) - 2*sqrt(95)))*-1)\/(sqrt(5) + sqrt(720) + -1*sqrt(720)).\nAnswer: -8*sqrt(19) + 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 35, 1, 0 in descending order.\nAnswer: 35, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6 + 2. Let u(p) = -p**3 - 15*p**2 - 14*p + 3. Let x be u(-14). Suppose -x*w + y + 5 = -14, -m*w - 3*y = -8. Sort -4, w, 3.\nAnswer: -4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141.4 + 140.4. Which is the biggest value? (a) z (b) 1 (c) -114 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:34 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4211\/150 + -173\/6. Calculate the common denominator of 43\/155 and y.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (1 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 2\/13 (c) -11 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 238. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:02 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 12, 4*t + w = 2*t + 22. Let x be ((-13)\/t)\/((-2)\/(-6)). Let f = -1127 - -1124. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 - -196. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 4 - 2*y + 6*y + y. Let g(z) = 7*z + 9. Calculate 4*g(n) - 9*u(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240244044 (base 6) to base 11.\nAnswer: 25a4409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -348427, -5, 5.\nAnswer: -348427, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25726500?\nAnswer: 2, 3, 5, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3801, 15692, 48181, 93666, 152147, 223624?\nAnswer: 308097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 + 17*m**2 + 6*m - 17. Let z(f) = -f**3 + 3*f**2 + f - 3. Determine -6*u(g) + 34*z(g).\nAnswer: -4*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1584) + (sqrt(1584) + 2)*1)*6 - (0 + ((2*sqrt(7920))\/((sqrt(240)\/sqrt(4))\/sqrt(12)))**2).\nAnswer: -6288 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.104, -1\/3, -4?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-77) - -6*5\/(-105))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62074.\nAnswer: 2, 41, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 8*o - 10. What is l(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4960512.\nAnswer: 2, 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = 3*i - 2, -5*z - 28 = -i. Let f(w) = -2*w + 1 + 11 + 5 + 5 + 0 - 34. What is f(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) 134.4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1.676, -2?\nAnswer: 1.676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018 times 0.02?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Suppose 0 = -168*t + 179*t - 1243. Let a = t - 451\/4. What is the nearest to a in -3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962053?\nAnswer: 67, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 297440621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:21 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**3 + 3*x**3 + 3*x**3 + (x**2 + 2*x**2 - x**2)*(2 + x - 2) + x**3 - 3*x**3 + 0*x**3 + 2*x**3 - 2 + 2 + (-1 - 4 + 1)*(4*x**3 - x**3 - x**3).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/21 (b) 2\/5 (c) 0.21 (d) 7 (e) -2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88899700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -374874 (base 15) to base 16\nAnswer: -286765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 1134.1301134.\nAnswer: -1134.0601134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189067005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -896, -894, -892?\n\"Answer: 2*q - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 49)\/(-5 - -6). Suppose -3*d = -2*d - 10. Calculate the highest common factor of y and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9435 and 624665?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2744, 4245, 5852, 7565?\n\"Answer: 53*r**2 + 1342*r + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 = 27. Let c(r) = -8*r - 6. Let w(i) = -i. Let a(d) = 2*c(d) - 20*w(d). List the prime factors of a(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15073 and -15067 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 356 - 343 - 17\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**8\/840 - 7*i**6\/60 + 5*i**3\/3 - 70. Let j(k) be the third derivative of v(k). What is the third derivative of j(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 17. Let n(y) = 0 + 7 - 6 + 5. What is 3*h(d) - 8*n(d)?\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n - 15. Suppose 0 = n*j + 9 - 37. Suppose 3*t = -j*w + 6, -2*t + 2*w + 4 = 14. Is -3 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.9 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83106469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n**2 + 4*n**3 - 8 - 5*n**3 + 14*n - 1. Let m be z(13). Which is the closest to -1\/3? (a) m (b) -0.8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5924 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - i**2 + 2*i**2 - i**2 - 2 + 2*i**4 to h + n*i**3 + b*i**2 + w*i**4 + k*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**8\/448 + 3*a**7\/280 - a**6\/80 - a**5\/40 + 3*a**4\/32 - a**3\/8 - 8*a**2. Factor q(t).\nAnswer: -3*(t - 1)**4*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s + 113 = -2*t, -5*s - 480 + 485 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 13*x = 5*y - 32, -x = 5*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1937?\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -25.8. Let k = w - 15.2. Let m = 13 + k. Which is the second biggest value? (a) -3 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*(-800)\/300\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s**2 + 21. Let m(f) = 7563*f - 15171*f + 7610*f. Give c(m(d)).\nAnswer: 60*d**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 4259*k + 8504*k - 4245*k + 36*k**2.\nAnswer: 36*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 1. Let w be i(-2). Let j be w*16*1\/6. Solve d + j = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 0, -2, 1, 131, 93, 5.\nAnswer: -75, -2, 0, 1, 5, 93, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(212\/106*(-2)\/3*(-111)\/(-148)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {f: 6, u: 4, n: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20751 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0058 times -17.098\nAnswer: -0.0991684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-3 + 2 - 3). Suppose -c = g*f - 6*f + 365, 5*f = c + 609. What are the prime factors of f?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-112 + 175 + 104 + 28)*(-3 + 3*q + 3) to the form u + c*q and give c.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011166 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z + 22*z - 19*z - 25*z to g + p*z and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let g(c) = -235*c - 12. Let l(p) = 472*p + 26. Let m(f) = -13*g(f) - 6*l(f). Give j(m(r)).\nAnswer: 446*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 28. Let h be (-40)\/5*7\/w. Let t be h\/8 + (7\/(-4) - -2). Solve 5*z - 3*z - 4 = -t*g, z = -5*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7965*h**2 - 15928*h**2 + 7960*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993*c**2 - 985*c**2 + 1979*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/20)\/(1*(-78)\/(-30)*5)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 (base 11) in base 13?\nAnswer: 64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 27*d**2 - 26*d + 25. Let u be s(-26). Solve n = r - 3*n + 24, -5*n = -u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((92\/(-24))\/23)\/((-1)\/(-3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -58*d**2 - 4*d + 3. Let z(i) = -290*i**2 - 20*i + 15. Let u(h) = -11*x(h) + 2*z(h). What is the units digit of u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99592593 and 61368.\nAnswer: 7671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + -36?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) - (-1)\/(-4). Let d(c) be the second derivative of -1\/60*c**6 + c - 1\/84*c**7 + t*c**4 - 1\/4*c**2 - 1\/12*c**3 + 1\/20*c**5 + 0. Solve d(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a)*(a + 2*a + 2*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*v = -129*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 461.67 - 434. Let c = -1192.17 - -1193. Let z = c + r. What is z rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220212200011 (base 3) in base 10?\nAnswer: -489649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3043080 + 3043091.998952. Let c = 12 - u. What is c rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 237 + 225 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5412\/55440 - -3*(-2)\/(-168).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 112 = 123 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/4 + 2)*(104 + -103). Factor 0 + 1\/2*v**2 - z*v**3 + 3\/4*v**4 + 0*v.\nAnswer: v**2*(v - 1)*(3*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**7\/315 + 7*q**4\/12 + 23*q. Let z(u) be the third derivative of n(u). Let v(j) = -4 + 4 + j**2. Give v(z(b)).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*c - 2646. Let t = c - -282. Let v(l) = -l - 15. Calculate v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588260 (base 11) in base 8?\nAnswer: 3436733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/3)\/a))**(23\/5)*(a\/a**2)**(14\/5))**(-1\/8) assuming a is positive.\nAnswer: a**(-73\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from cvmiu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772450341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.8. Let m = -0.8 + 0.4. Sort q, -1\/5, m.\nAnswer: m, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*g + 71, h + 31 + 60 = 5*g. Let o = -37 - -28. Let y(n) = n**2 + 2*n + 9. Let f be y(o). Calculate the highest common factor of f and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*s - 7*s. Let z(a) = a**2 + 2 + s*a - a - 10*a. Determine z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4\/(-12)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8743 times 4?\nAnswer: -3.4972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19695\/(-3030))\/((-13)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 24305?\nAnswer: 145830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1802*q**2 + 7329*q + 21226406 wrt q?\nAnswer: -3604*q + 7329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, -2\/11, 0.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**3 - 38*y**2 - 47*y + 99. What is z(-11)?\nAnswer: 5335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202011101001 - -10?\nAnswer: 202011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose p + 2*p - 2*i + 34 = 0, 3*p = -i - 46. Let m = 14 + p. What is the closest to m in -0.1, -5, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 7. Let q(v) = v**2 + 9*v + 12. Calculate 5*p(n) - 3*q(n).\nAnswer: -3*n**2 - 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3*i + 1)*(6014 - 6014 - 49*i**3) to the form c*i + k*i**4 + f*i**2 + v*i**3 + o and give k.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8904 and 22154424?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709322?\nAnswer: 2, 3, 347, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/144*(-3)\/2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92881889*v**3 - 11747610*v**2?\nAnswer: -557291334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:01 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -661 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9123333829 + 3?\nAnswer: 16.9123333829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 442.41866 + -0.01866. Round d to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k - 2*k - 2*k - 5*k + k + 0*k + (-k + 2 - 2)*(-1 + 0 + 2).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350 + (-6 - 18\/(-3))*1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102012 divided by -8892?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 17*u. Let a be q(7). Suppose n - 2*j - a = -0*n, 565 = 5*n + 5*j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -611\/8?\nAnswer: -611\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c + 30*c - 49*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 888\/(-322) + 6\/(-21). Let l = 3967\/1311 + o. Let t(h) = -h**3 - 14*h**2 + 27*h + 519. Let i be t(-13). Does i = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7088786*l - 155953289. Calculate m(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -1088*v**3 + 156444*v**2 - 276160*v - 64752 = 0.\nAnswer: -57\/272, 2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (17 - 39 - -26)*(-7119)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -70*c**3 + 290*c**2 - 28*c - 28. What is f(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let f = -50 + 53.9. Let d = f - i. Put -3, d, 5 in decreasing order.\nAnswer: 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5359, -21414, -48167, -85618, -133767, -192614, -262159?\n\"Answer: -5349*y**2 - 8*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**3 - 9*i**2 - 5. Suppose -216*h + 198 = 222*h - 416*h. Let t be -4 + 0 + 0\/(-1). Let n(g) = 3*g**3 - 4*g**2 - 3. What is h*n(f) + t*b(f)?\nAnswer: -f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 20, 5, 1.\nAnswer: -5, 1, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (3 - -1)) + -8 + 0 - -28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15837 + -6?\nAnswer: -15843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s. Let v(k) be the second derivative of 5*k**4\/3 - 3*k**2\/2 - 575*k - 4. What is q(v(m))?\nAnswer: -60*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5535, -11056, -16567, -22062, -27535, -32980?\nAnswer: -38391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3 + 114*b**2 + 1083*b = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 11 (c) -9 (d) -0.05 (e) 0 (f) 4 (g) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.06, 180\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2674 - -0.357. Let n = -59.0936 + j. Let r = n - -62. Round r to 4 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17697 and 170.\nAnswer: 176970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 14*r - 7. Let q be k(-6). Solve 3*s - 5*j + 0*j + 5 = 0, 0 = -q*s + 2*j + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/3620650 and -38\/1001?\nAnswer: 329479150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 441684.81 milliseconds?\nAnswer: 0.122690225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*t, -5*t = -7*c - 4*c - 3*c + 13*c + 37 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.6, -5, -3, 2\/29, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.308 + -4.28. Let z = v + -0.028. What is the third biggest value in -3\/7, 5, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -7*u**4\/12 + u**3\/3 + u**2\/2 + u. Suppose -5*j = -1 - 4. Suppose 0 = 4*l - 3*l + j. Determine n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkttktykytkykyykyyt. Give prob of picking 1 t and 1 y.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 11*v - 11. Give a(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -642119?\nAnswer: -1\/642119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441063 (base 8) to base 15.\nAnswer: -2dcce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*o = -152*o - 2551 + 866 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*sqrt(272))**2 + 2*sqrt(2057)) - (-5*-2*sqrt(68))\/((sqrt(108)\/sqrt(3))\/sqrt(9)).\nAnswer: 78*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269245 is divided by 127.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2164533\nAnswer: -1\/721511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -193*x**2 + 660*x**3 - 665*x**3 - 14*x**2 - 23*x**2.\nAnswer: -5*x**2*(x + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 2*b - 1 + 563*b**3 - 1119*b**3 + 558*b**3 in the form f*b**2 + u*b + a + o*b**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/168)\/(-1*4\/(-36)*3). Solve -n*y**2 - 45\/8 - 6*y = 0 for y.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480*q + 655*q - 74245 = -715*q + 455*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**2 + 5*i + 134. Let n(t) = t**2 + t. Give -k(u) + 5*n(u).\nAnswer: -u**2 - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 not equal to 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -136*s - 12544. Calculate d(-90).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17074553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07139 + 9.07139. Put o, 1, -0.053, 2\/5 in increasing order.\nAnswer: -0.053, 2\/5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/sqrt(5))\/sqrt(10) + -4.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.9+-15355\nAnswer: -15357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 95, 137, 199, 281, 383?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3293567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1715, -1716, -1717?\n\"Answer: -l - 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(-3 + sqrt(325) + sqrt(13) + -2 + sqrt(468))**2*6.\nAnswer: -170730 + 10800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*15\/(-225)*5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 416481468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2163)\/972 + 404\/(-16362).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let j(v) = -22*v + 327*v + 7*v + 240*v. Give j(k(t)).\nAnswer: 552*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) -0.44 (d) 1 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 28532511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 25 = 40*r + 5*q, 3*q + 27 = 3*r. Let k = -0.5 - -0.4. Let i = -4.1 - k. What is the nearest to 0 in r, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m + 63. Suppose -3*c + 4*i = -355, -2*i - 462 - 111 = -5*c. What is the remainder when c is divided by v(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(3776\/(-672)) - 30\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*t = 5226, 0 = -5*h - 4*t + 2725 + 5985. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11635*z = -12944*z + 22253 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2005*n**5 + 5*n**4 + 272038*n**2 wrt n?\nAnswer: -120300*n**2 + 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1411*p*w**2 - 87*w**2 wrt p?\nAnswer: -1411*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 4:40 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -31209*j - 3401785. Calculate t(-109).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.54*1.33\nAnswer: -0.7182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*4\/(-8) + 18\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76822 and 1416981.5.\nAnswer: 1493803.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 3*r**4 - 7154 + 1079 - 2*r**4 + 3*r**4 in the form c*r**3 + t*r + w*r**2 + l + q*r**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.2 from 0.52.\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21541 (base 8) to base 12.\nAnswer: 52a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 3*i + 2. Let b be v(3). Let r(k) = 3*k**b + k**2 - 4*k**2 + k**2. Let a(g) = -g**2. What is r(a(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o**2)**0\/((o*o**(-3\/5)*o*o**(-1)\/o*o)\/(o**(1\/4)*o\/(o\/(o\/((o\/(o*o**4))\/o))))) assuming o is positive.\nAnswer: o**(117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.0584 - 0.0659. Let p = q - 15. What is p rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66bcd (base 16) to base 12\nAnswer: -183639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2\/(-7) - 1302\/(-1470)). Which is the biggest value? (a) s (b) -1\/3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, r: 14, o: 1}. Give prob of picking 2 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 3*h**2 - 2*h + h**3 - 1427 + 1425 + h**4 in the form m*h + y*h**4 + t + o*h**2 + n*h**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/(-152))\/((-264)\/(-64))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1869*q**3 - 21 + 371*q**3 + 21.\nAnswer: -1498*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1253*m**5 + 2199*m wrt m?\nAnswer: 25060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61596 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.2481 + 8.6481. Let k = -2.98 - 0.02. Let f = -2 - k. What is the smallest value in f, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0, -19865 in ascending order.\nAnswer: -19865, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 8) in base 3?\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 30. Let d be (225\/12)\/(z\/40). Calculate the common denominator of (-5)\/4*(-1220)\/d and 27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110741*5\nAnswer: 5553705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - 4*w - 4434*w**2 + 4358*w**2 as z + i*w**2 + o*w and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*f + 5*z, -4*f + 2 - 1 = -3*z. Suppose -f*v = -v. Solve -2*x = -v - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-6)*-22 - (-1)\/1. Let i = 91 + u. Suppose -91 = -g - 3*y, -6*y + i*y + 90 = g. Calculate the highest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 + 96 = 0. Let q = 86 - b. What is the remainder when q is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2602*n**2 - 2838. Let p(j) = -j**2 - 11. Let z(g) = -4*p(g) - w(g). Differentiate z(b) wrt b.\nAnswer: 5212*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1. Let b(m) = 3*m**3 + m - 6. Let z(c) = -b(c) - 6*k(c). Let f be z(-1). Suppose -f*w + 16 = -24. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1939 - -1943. Let y(r) = 3*r**2 + 8*r - 11. Let p(x) = -x**2 - 3*x + 4. Determine d*y(m) + 11*p(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22191 - 4150. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3003\/1716 + -3*(4 + 7\/(-3))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 2*j**3 + 5*j**3)*(-1 + 0 + 3).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374128452 to the nearest integer?\nAnswer: 19342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -110. Let x = -497\/9 + 55. What is the third smallest value in x, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 3*z + 4. Let d be q(3). Suppose -2*n = -5*o - 0 - 7, -4*n + 44 = -4*o. Solve -n = -3*h + i, -d*i + 0*i - 28 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 18*r + 18. Let x be v(-5). Let m = 18 + x. Let c = 37 + m. Are -17 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4\/7, -0.1, -21.28?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 2. Let i be j(-1). Solve d + 2 = i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:27 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + -3132?\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -30*d - 112 + 184. Put d, 3, -892 in decreasing order.\nAnswer: 3, d, -892","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)\/sqrt(8) + (1*sqrt(250) - sqrt(250)))\/(3*sqrt(500)*-3*4).\nAnswer: -sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 7*r + 0*r)*(-3*r - r + 5*r)*(-191*r**3 - 153*r**3 + 141*r**3).\nAnswer: 609*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - 2 - (5 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.0999773 + 39.1. What is u rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*x + 496 = 0, 0*x = -x - 2. Is 56 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 9*q + 4*q + 11*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/207 (c) 1\/11 (d) 0 (e) -0.4 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279899264.\nAnswer: 2, 2186713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 23. Let b(z) = 2*z + 22. What is 4*b(o) + 3*u(o)?\nAnswer: 2*o + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/59, 0.1, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 140 = -192. What is the nearest to 2\/9 in 1\/5, 1\/4, -2\/7, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 2:32 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffbbbffbffffb. What is prob of picking 2 f and 2 b?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*t + 2, -2*x = t + 8 + 2. Let u be 3 - 6*(-1)\/t. Put -3, u, -4 in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9061548 kilograms in milligrams?\nAnswer: 906154.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.53 and 433?\nAnswer: 11054.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2585*y**4 - 2*y**2 - 29*y - 20 wrt y?\nAnswer: -62040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 17198 = -5*c, 2*c + x + x = 6876. Suppose -8024 - c = -3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = y + 37. Solve 2*w = 3*u + y, -w - 2*w = 5*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 4, -7, -18, -29, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 288447 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 21*k + 8. Let y be x(17). What is the greatest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -63248?\nAnswer: -63223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -14016251 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2690675 divided by 107627\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975 by -1.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 - -119. What is the smallest value in 11, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*k + 1293*k = -2535 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 6*r - 2 + 6 + 0*r**2 + 1. Let o(z) = -2*z**2 + 5*z - 4. Let u(b) = -3*b - 77. Let j be u(-24). Give j*l(m) - 6*o(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*a**3 - 194274*a**2 + 53410592*a + 2956268416.\nAnswer: 2*(a + 47)*(9*a - 5608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -671 - -676. Solve -j = 8*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let n = -1659.1 + 1658. Which is the third biggest value? (a) 1\/6 (b) p (c) n (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 - 8*t - 1. Let g(b) be the first derivative of -5*b**3\/3 - 7*b**2\/2 - b + 7. Determine -6*d(u) + 7*g(u).\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 8\/(-6))*(-7887)\/956?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003576 rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1831 - 1074. Suppose -3*a + 1047 = 3*g, -5*a = -3*g + n + 266. Let c = -606 + g. What is c rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1170 - 1175. Let m(d) = d**2 - 11*d + 11. Let y be m(10). Let z(k) = 3 - y - k - 2*k + 2*k. Calculate z(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11937, -11951, -11963, -11973, -11981, -11987, -11991?\n\"Answer: b**2 - 17*b - 11921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021002 (base 3) to base 6.\nAnswer: -33045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129970, 129968, 129966?\nAnswer: 129964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) 818 (c) -1\/2 (d) 0 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2839, 2, -51\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -557 - -601. Suppose -67 + 25 = -3*z. Calculate the lowest common multiple of b and z.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 468.05, -35, -1, 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007902518 to 7 dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 + 9*m + 3. Suppose 0 = 4*f + k - 35, -2 = 2*f - k - 15. Let c be d(f). Sort c, -1, 5.\nAnswer: -1, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3 + 26476*b**2 - 212000*b + 424128 = 0. Calculate b.\nAnswer: -6627, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 205, 311, 365, 349?\n\"Answer: -3*q**3 + q**2 + 158*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002023598 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 - -0.4. Let v = -5.3 - c. Let u = -1.4 - -1.4. What is the smallest value in v, 5, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -340517?\nAnswer: -340524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8783.28539 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let r be (0 - (-798)\/2) + a. Suppose -2*k + r = -6*k. What is k rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 207 = 4*g, -n = -6*n - 5*g + 225. Round n to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181 is divided by 1052?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 9*y**3 + 10*y**3 + 0*y**2)*(-146*y - 912*y + 54*y).\nAnswer: -1004*y**4 - 2008*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -93*z**5\/20 - 22*z + 4. Give u(-1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13748.90208 to the nearest one hundred.\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -7. Let r = 2.2 + v. Let f = 2 + r. Which is the nearest to 0? (a) 1 (b) -2\/21 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t - 8*t - 2*t**3 - 38 - 15*t + 5*t**3 + 2*t**2 + 77 - 42. Let w(j) = -4 + 0*j + 1 + 3*j**3 + 1 + 2*j**2 - 4*j. Calculate -4*r(o) + 5*w(o).\nAnswer: 3*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2. Suppose 26 = -4*z - 26. Let g = z + 17. Let f(i) = 2*i**2 - g*i**2 + 6*i**2. Calculate f(c(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23430251 (base 6) to base 7.\nAnswer: 6150445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3472 and 6293?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2. Let q(a) be the third derivative of a**5\/30 - 17*a**2. What is q(r(i))?\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73219 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6174.574 to the nearest 10.\nAnswer: 6170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-12) + (-245)\/(-42). Suppose 0 = h + o*h - 21. Let u(c) = -1 - 5*c + 0*c + 7*c. What is u(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120551 + -25?\nAnswer: 120522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11152760 is divided by 157.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 4*m + 2*m)*(-5 - 7 - 4) + (7 - 1 - 3)*(-m + 2*m - 2*m) to the form j*m + k and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 1023 - 1016 + 2039.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 24. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151.65567 - -13812.849.\nAnswer: 13661.19333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.57 + 3.57. Let y = -111.6 - -112. What is the third smallest value in -0.5, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 109603487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from iididd?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/9 - 2*w**4\/3 + 2*w**3 + 46*w**2\/9 + 8*w\/3 = 0. What is w?\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -205549, -411070, -616563, -822028, -1027465?\n\"Answer: 14*d**2 - 205563*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9926 - 32237 = -s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383.28 micrometers in nanometers?\nAnswer: 3383280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 4. Let b be p(-2). List the prime factors of (-262)\/(-5) + 4\/b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21780*m**5 - 34*m - 3915 wrt m?\nAnswer: -435600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let d(i) = i**2 + 6*i + 2. Let z be ((-19)\/(836\/(-55)))\/((-12)\/32 + 1). Calculate z*a(j) - d(j).\nAnswer: -j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 996473759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1606*f**3 - 506*f**3 - 1058*f**3.\nAnswer: 42*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 + -5. Let a = -1.73 - -1.23. What is the nearest to 0 in 1, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*sqrt(1053) + -3 - sqrt(1053)) + (-3*sqrt(208) - sqrt(208))*-1*6)**2.\nAnswer: -912*sqrt(13) + 168964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1103?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let l(u) = 45*u**3 + 16*u**2 - 6*u + 11. Let c(a) = a**3 + a**2 - a + 1. Let t(s) = 8*c(s) - l(s). Is t(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011 (base 3) to base 8.\nAnswer: -1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 < 486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 8:06 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907313*f - 30 = 907316*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5486 and 1352.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/(-115) + 198\/10. Solve -7*v - 54 + d = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d**2 + 0*d**2 + (3 - 2 + 0)*(-1 + 2*d**2 + 1) + d**2 - 4*d + 4*d + (6*d - 3*d + 9*d)*(-4 + d + 4) + d**2 - 1 + 1 + 3*d**2 - d**2 + 13*d**2.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d**(2\/15)\/d)**(-31))**36)**(-4\/11))**(-45) assuming d is positive.\nAnswer: d**(-227664\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 0 + 0. Let f(n) be the first derivative of 0*n - 25 + 0*n**2 + 2\/3*n**3. Give f(k(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 3018*k + 21216. Determine j(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 599 + -116. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:25 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let d(x) = -4*x**2 - 202590*x - 2. Give d(g(v)).\nAnswer: -4*v**2 + 202590*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o**2 - 1445*o + 4256. Give a(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 111.27074 and -39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/22)\/(221\/442).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1865\/7 - -266. Suppose 5*a - 5 = -0. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*b + 0*b + 15 = 0, -i = b + 7. Let o be i*10*(-2)\/8. Suppose -34 = o*x - 219. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 6*y - 4. Suppose -y*a = a - 6. Suppose -15 = -5*g + 2*c, 0 = -3*g - 0*g + 4*c + 23. Is g equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + r + 21 = 5*r, 10 = -5*i + 3*r. Suppose -5*p + 12*p = 0. Solve q + p = -i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1479 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -26. What is the least common multiple of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17617818 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 4*i)*(5*i - 4*i + i)*(3*i**2 + 9*i - 9*i).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -106. Is 8785\/2 - (i\/4 + -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 118\/(-42))*2*6\/8. Put -17, 2, -1, x in increasing order.\nAnswer: -17, -1, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 104*k**2 - 209*k + 43. Calculate the lowest common multiple of s(106) and 2527.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736 is divided by 391.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in -4, 68454, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.7211kg in tonnes?\nAnswer: 0.2397211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16 - 672*x**4 - 11*x - 508*x**4 + 397*x**4 - 850*x**4 + 8*x wrt x.\nAnswer: -19596*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -507.2 in descending order.\nAnswer: -3, -5, -507.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2*r**5 + 1 - 1) + r**5 - 4*r**5 + 2*r**5 - r**3 - 2*r**5 + r**3 - 3*r**5 + 2*r**5 - r**5 + 11*r**5 + 0*r**5 + 6*r**5.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8130820*i**2 + 2*i + 41735835 with respect to i.\nAnswer: -16261640*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403745292.\nAnswer: 2, 23, 137, 111373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/4 (b) -4 (c) 4.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -493*p**2 - p. Let x(u) = 10*u. Calculate r(x(i)).\nAnswer: -49300*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*sqrt(99) - sqrt(99) - sqrt(99))*-2.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((5 - (3 + -3)) + -2)*27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.027, 1, 0, -38, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + 1. Let o(m) = 3*m**2 + 2*m + 2. Let c be o(-1). Suppose 4*d - 4*y - 157 + 41 = 0, 5*d - 147 = c*y. Calculate the remainder when w is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8 - 2. Let d = 4 - q. Is 22 a factor of -11*(-1 + (d - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.7 + -16. Let p = w - 1.7000005. Round p to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5567.43138 rounded to zero dps?\nAnswer: -5567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/1)\/(15*(-2)\/(-12)). Let l = 622\/5 + -125. Let d = 1 + 0. Which is the nearest to d? (a) l (b) -2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84, -79, -74, -69, -64, -59?\n\"Answer: 5*b - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 141*r**2 + 204*r. What is f(-2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:09 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -10\/3*x**3 - 5\/2*x**4 - 1\/6*x**6 - x - x**5 - 13 - 5\/2*x**2. Factor s(b).\nAnswer: -(b + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175592943.\nAnswer: 3, 19510327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253399 rounded to the nearest 1000?\nAnswer: -1253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -15655084\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -i - 74. Suppose d + 194 = i. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r - 52. Let m(w) = 2*w + 6. Let a(i) = m(i) - 6*z(i). Let x(s) = 85*s. Determine a(x(f)).\nAnswer: 170*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 612 - -22a899?\nAnswer: 230400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from {l: 3, y: 3, i: 3, p: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24.597*82.5\nAnswer: -2029.2525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 3*i + 5. Let k be v(0). Suppose -15 = -k*a + 2*a. Is 0*a\/10 - -198 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10250 + -2?\nAnswer: 10246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.07, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -159. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3574 and 1189999040.\nAnswer: 3574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2088 and -16\/323?\nAnswer: 674424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 21*y**2 + 20*y + 4. Let f be g(-20). Let k be -2*f\/8 + -3. Let h(d) = -6*d - 3. Let p(o) = -7*o - 3. Let b(j) = 6*h(j) - 5*p(j). Give b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/92 or -14?\nAnswer: 3\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 219a09 (base 11) to base 6\nAnswer: 11300033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333258 is divided by 4065?\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65523 - -295443205\/4509. Does 1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -142 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2461 - -2508. Which is the second smallest value? (a) -0.5 (b) -2 (c) g (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5*f**3 - 2)*(-f + f + f + (1 - 5 + 3)*(-3*f - f + 3*f) + 3*f + 0*f + 0*f - f - 5*f + 4*f - 3*f + f + 4*f).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1336542 divided by 6\nAnswer: 222757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101101 + 101110?\nAnswer: 10000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 4*n + 12, -3*t - 213 + 225 = 2*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 12*w - 51. Suppose -a = -4*c - 22 - 18, 2*c = a - 30. Suppose p = -3*p + a. Solve 0 = -2*q + 4, -q - w = p*j + 3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193431112 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 4*y + 6. Suppose 13 + 14 = 5*k - 3*w, -4*w + 34 = 5*k. Let b = k + -11. Is j(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 39\/(-21))*(61 + 9). What is the highest common divisor of 360 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -94*w - 16. Let s(c) = 19*c + 3. Calculate 11*s(a) + 2*t(a).\nAnswer: 21*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, s: 1}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1855451.399915 + 1855410.4. Let q = 41 + j. Round q to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248529977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*z**3 + 123*z**3 + 2 - 1 + 10*z**2 in the form k*z + c + o*z**3 + w*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 11*h + 21 = -3*f, 0 = -41*f + 38*f + 22*h - 18*h - 36 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57931 + 543. Is 338 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - n - 5, -14*n + 21 = -17*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 18. Let m be (18\/(-30))\/(-2 - k). Let c = 0 + -1. Is m at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 + 26631*m**3 - m**2 + 37*m - 393 wrt m?\nAnswer: 24*m**2 + 159786*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 + 663*t - 663*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 16*m - 18*m - 5, -3 = 4*v - 3*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {a: 11, s: 1, u: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 439289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/343?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 7, 0, 1, -659 in descending order.\nAnswer: 7, 4, 1, 0, -2, -4, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 3 - (-1)\/(3 - 4). What is the common denominator of -12\/35 and q - (-5085)\/725 - -1?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6))**31*c**18*c**(14\/5))**22 assuming c is positive.\nAnswer: c**(-14762\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1162 - -19a4a2?\nAnswer: 1a0654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -0.418, 83, 1\/4, 15?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 + 114*w - 222. Let y be u(2). Is y at least -123\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)\/c**(-6) assuming c is positive.\nAnswer: c**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 957041677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(28) + (sqrt(252) - 2*sqrt(252)) + sqrt(28) - (sqrt(28) - -1*sqrt(28)*2)) - (-2 + 6*(sqrt(567) + 1 - (sqrt(1008) - (0 + sqrt(1008))**2))).\nAnswer: -6052 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 235, 541, 969, 1519, 2191?\n\"Answer: 61*b**2 + b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y - 39. Let z(g) = -9*g + 60. Give -8*x(o) - 5*z(o).\nAnswer: -3*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1396, 5579, 12552, 22315, 34868, 50211?\nAnswer: 68344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 3*n + 28 = 0, -3*n + 12 = 0. Let p = 0 - v. Solve b + p = 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1571, -1951, -2581, -3461, -4591, -5971, -7601?\nAnswer: -9481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3127724, -3127720, -3127716, -3127712, -3127708, -3127704?\n\"Answer: 4*w - 3127728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.55 times 258?\nAnswer: 145395.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-3)\/6 + 0). Let h be t*188\/28 - (-6)\/21. Suppose -5*c = -h*c + 22. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1 - 3*f + f**2 + 3*f - f. Let x(a) = 2*a**2 - 2*a + 2. Suppose -3*n + 8 = 26. Give n*x(y) + 13*d(y).\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32*(196\/42 + -5)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01705238 to 5 dps.\nAnswer: -0.01705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdyhyyrdrrrrrryyr. What is prob of picking 3 r?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 25*w**2 + 10*w - 15. Let o be u(-21). Suppose 3*m + 647 + 1684 = 3*r, -2*r + 5*m = -o. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqq when three letters picked without replacement from {g: 3, l: 4, f: 4, q: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 18c?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 544496 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6498 - -1.7498. What is the second biggest value in -4, 1\/3, 12\/7, u, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -14.62927?\nAnswer: 5.851708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3584 and 42524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 at least as big as -91.846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.155 - 30683450.\nAnswer: -30683449.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1227.145*0.4\nAnswer: -490.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2. Suppose -39 = -y - 14. Let v = -197 - -210. Let w(t) = -y*t + v*t + 11*t. Determine b(w(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/4 + 3*y**2 - 3*y\/4 - 3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84185125, -336740505, -757666139, -1346962027, -2104628169, -3030664565, -4125071215?\n\"Answer: -84185127*f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*f**2)*(1 - 1 + 2)*(0*f + 0*f + 2*f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 5. Let v(r) = r**2 + 4*r + 6. Let g be v(-4). Suppose 0 = 3*z - g*z + 6. What is the third smallest value in z, y, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/417 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 5*d + 32, -3*d + 4297 = 5*y + 4301 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401001203 (base 5) in base 6?\nAnswer: 313315241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 669 - 670. What is the nearest to 1\/5 in -0.2, -6, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**2 + 196*z + 2. Let l(v) = -9*v**2 + 222*v + 2. What is -7*g(x) + 6*l(x)?\nAnswer: 2*x**2 - 40*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 507*r**2 - 1021*r**2 + 507*r**2. Suppose 0 = 4*g - 11 + 3. Let f(i) = i**g + i**2 - 4*i**2. Give f(p(h)).\nAnswer: -98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-8))\/(12\/(-64)). Solve 4*i = y + 11, -4*y + 0*i = -2*i - h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2288 - -0.05.\nAnswer: -2287.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*r**2 + 3*r**2 + 15*r**2)*(-18 + 93 + 14).\nAnswer: 4717*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let a(k) be the second derivative of 2*k**2 + 1\/20*k**5 - 1\/3*k**3 + 1\/4*k**4 + k + 0. Determine a(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose -135 = 4*d + 3*h - 0*h, 1 = -h. Let k be 22\/d*(-3 + g). Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169.1 + 8.1. Let f = -159.65 - k. What is f rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 24*y**2 - 21*y + 49. Let w be t(-23). Suppose w*d + f = 28, 2*f - 6*f + 16 = 0. What is the closest to -1\/4 in -1, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382932?\nAnswer: 2, 595733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 188722 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107015, -214024, -321033, -428042, -535051, -642060?\nAnswer: -749069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-3) + 2 - 2. Let u(h) = 1 - a*h + 3*h**2 + 2*h**3 - 3*h**3 + 7*h. Let f be u(2). Solve 3 = 3*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/(-75)*(0 + 3\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-140)\/30*(5 + (-107)\/21). Factor -2\/9*r**4 + 8\/9*r**3 - 2 + b*r**2 - 8\/3*r.\nAnswer: -2*(r - 3)**2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005772.\nAnswer: 2, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 3. Let r be i(-1). Let l = -10 - -17. Suppose -4*d + 2*s = -14, 0 = -4*d + 4*s + 19 - l. Solve d*x - 2*x = -r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*r = 18, n + 17*r - 1 = 12*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -161882816.6 to the nearest 10000.\nAnswer: -161880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 15*q - 53. Let d be r(9). Let j(o) = 407*o**3 + 3*o**2 - 2*o. Let x be j(d). Suppose -x = -s - 145. List the prime factors of s.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 2*(72\/3)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a factor of 100360139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15313 is divided by 2549?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3520*z - 32\/9*z**4 - 4608 - 3746\/9*z**2 + 880\/9*z**3.\nAnswer: -2*(z - 16)**2*(4*z + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -3)\/(110\/44). Factor -6\/7*t + 2\/7*t**3 + 4\/7 + 0*t**n.\nAnswer: 2*(t - 1)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 365 in descending order.\nAnswer: 365, 19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 71. Let n = z - -36. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 3267 = -10*u. Sort 1\/7, 2\/5, u, -7 in decreasing order.\nAnswer: u, 2\/5, 1\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111331404 (base 5) to base 8.\nAnswer: -20625670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27436 + -291?\nAnswer: -27727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-986))\/(29\/(-841))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 4*m + 22 = 0, r - m - 7 = 0. What is the derivative of 6*f**3 + r - 53*f**2 + 53*f**2 wrt f?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1024898 and 95?\nAnswer: 5124490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-15.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 3*p - 10. List the prime factors of l(-9).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9185*h*z**2 - 6*h*z + 8*h - 1875639*z**2 wrt h.\nAnswer: 9185*z**2 - 6*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50121557.\nAnswer: 41, 367, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 50. Which is the nearest to -1\/5? (a) -0.4 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 97*t + 5432. Let i be p(-56). Solve -3*r + d - 3*d - 22 = i, 27 = -3*r - 3*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 8*w - 33. Let g be (0 - 2\/(-3)) + 1085\/(-93). Let v be p(g). Let i(a) = -a**2 + 2*a + 4. Give i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 94*h\/3 - 92.\nAnswer: -2*(h + 3)*(h + 138)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201020311 + 3?\nAnswer: 201020320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3502 - 0.2?\nAnswer: -3502.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2586012)\/(-92235) + -30 + 2)\/(-1 - (-38)\/30).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25 and -3.5.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 227096932 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.232 - 0.032. What is the smallest value in -5, o, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/1128706 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 12*g**5 + 26828*g**4 - 35800*g**3 - 17880*g**2 + 35788*g - 8948 = 0.\nAnswer: -2237, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m - 3*m**2 + 24 - 1\/4*m**3.\nAnswer: -(m - 2)*(m + 6)*(m + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.0032\nAnswer: 0.0968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 882271685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 9*a + 9. Let h be b(-7). List the prime factors of (-4)\/h - (-219)\/13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c - 13. Determine p(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12*6\/4)\/(2*1). Suppose 2207 - 7040 = -h*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a. Let w(q) = -552*q**2 - 29*q - 13. Determine w(y(s)).\nAnswer: -44712*s**2 - 261*s - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d. Let w(h) = 666*h**2 + 2*h. What is f(w(k))?\nAnswer: -5328*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.6344655 to 1 dp.\nAnswer: -38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x + 37 + 11 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 2\/5 (c) 804843\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from axxxaxxaaxaxaaxx.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/8 and -77\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = x + 5. What is the least common multiple of x and (123\/90 - (-6)\/45)*8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s. Let t(g) = 7*g. Let m be (-1 - (-41)\/6) + (-287)\/(-1722). Give m*y(a) - 13*t(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9352 and 385436?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**3 - 3*h**2 + 11*h. Let d(t) = 3*t - 3*t**3 - 7*t + 76*t**2 - 148*t**2 + 73*t**2. Suppose 9*n = 34 + 20. What is n*z(f) + 17*d(f)?\nAnswer: 3*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484931747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8526*u + 16*u**3 + 8527*u + 3*u**2 + 1 - 3 + 0. What is i(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Let p(t) be the first derivative of -135*t**2\/2 - 128. Calculate z(p(h)).\nAnswer: 270*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28137267 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8554)\/(-715) + 130\/3575?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102336 and 12272.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -45 (b) -2\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8.5 (b) 5\/9 (c) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + b + 23, -2*x + 11 = -3*x - 4*b. Let f = 18 + -6. Suppose p = 2*d + f, 2*d = -4*p - d + 4. Solve 4*i = 2*i - 4*t + 6, -p*t = 3*i - x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-34) - 57915\/(-612))*20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3 - 2. Let s be 8\/(-4)*1 - h. Solve -8 = -4*y - s*z, y = -5*z + 25 - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24275456 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*v + 1, -42*v + 6 = -44*v - 4*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*o - 260, -o + c + 60 = -0*o. Let u be (-167)\/(-7) + 8\/o. Find the second derivative of -k - 24*k**2 + 3*k - 2*k**3 + u*k**2 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18702, 19057, 20038, 21957, 25126, 29857, 36462, 45253?\nAnswer: 56542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 48. Suppose 4*h + r - 241 = 0, -232 = -c*h + 5*r - 57. Let t = -27 + h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.46? (a) -2\/7 (b) -18252 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 4*x = -7*x. Let l = x + 16. Find the common denominator of 19\/76 - (1 + 1) and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*c + 13, 0 = -4*c - 3*x + 14 + 11. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(-1*sqrt(150) + sqrt(150)))\/sqrt(5))\/(((sqrt(70) - (sqrt(70) + (sqrt(70) - -2*sqrt(70) - sqrt(70))))*-3)\/sqrt(7)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-33)*6\/(-90)*5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 97*q**2 - 377*q + 14. Does 16 divide k(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 4 + 0 + sqrt(2) - (sqrt(100)\/sqrt(5))\/sqrt(10).\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*y + 40449753 = -65085137. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8 - 0. Let c be (1\/4 + 1\/b)\/(-1). Solve c*o + o + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c*g**2 + 3*c*g*v**2 - 273*c*g*v - 2*c*v**2 - 5*c - 93*v**2 + v wrt g.\nAnswer: 6*c*g + 3*c*v**2 - 273*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.1. Let o = z + -0.7. Let a be ((-12)\/(-10))\/((-84)\/30). What is the smallest value in o, -0.5, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103243010 (base 5) in base 16?\nAnswer: -6d0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1041, 0, -16, 2, 4.\nAnswer: -16, -5, -3, 0, 2, 4, 1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 1 j when three letters picked without replacement from {a: 8, m: 2, h: 2, j: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbwk when four letters picked without replacement from wbjbk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 634*g - 639*g + 5*a + 5, 4*a = -5*g - 35 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.66 - -1. Let y = w - -3.16. Let o = -0.5 + 0.4. What is the smallest value in -11, o, y?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -19 + 30 - 13 - (-10 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32185 divided by -5.\nAnswer: -6437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3 + 27870*n**2 - 2252*n - 2.\nAnswer: 6*n + 55740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751110409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(28\/(-8)) - -1. Let q(r) = r**3 - 5*r**2 + 2*r - 4. Let v be q(5). Let m = -4 + v. Solve -a = m*p - 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-258)\/(-387) + 2311926\/(-9). What is s rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 divided by -3.\nAnswer: -364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 54857*n**2 + 3009290449*n.\nAnswer: n*(n + 109714)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.302 - 256508.\nAnswer: -256508.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, e: 4, m: 1, v: 4, b: 1}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -965, -900, -801, -674, -525, -360, -185?\n\"Answer: -r**3 + 23*r**2 + 3*r - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and -106*(-13)\/14 + (-12)\/28.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + x - 14 = -2*x, 5*a - 58 = -3*x. Let c(m) = m - 12. Let q be c(a). Is (q - -2) + (-10)\/(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*p**5 + 118*p**2?\nAnswer: -9360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4*(-6)\/(-24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/6 + t**2\/2 + t. Suppose 4*s - 2*z = -24, 5*s + 30 = 3*z - 5*z. Let d be p(s). Sort 1, d, -2 in decreasing order.\nAnswer: 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120*r**2 + 13 wrt r.\nAnswer: -240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -105\/8. Is m greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 - 22 = -4*k. Suppose -217 = -4*v + y, -2*v + 2*y + 111 = y. What is the greatest common divisor of v and k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:15 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o = 1893. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 + c**2 - 1 + 1 - 4*c**2 wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 27*z - 31. Let h(b) = -b**2 + 9*b - 10. Let q(c) = -7*h(c) + 2*m(c). Calculate q(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 31*g + 15. Let k(v) = -32*v - 15. Let m(a) = -6*k(a) - 5*u(a). Let r be m(5). Calculate the greatest common factor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (1*sqrt(1331) - sqrt(1331)))**2 - (3 + -2*(sqrt(176)*2 - sqrt(176)))**2.\nAnswer: -712 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*m = -2 - 2, -2*m + 2 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12313 (base 4) in base 14?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**2 - 163*u**2 - 1 - 285*u**2 - 2*u.\nAnswer: -482*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1145, 0.028, 46\/7, -4 in increasing order.\nAnswer: -1145, -4, -2\/15, 0.028, 46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:47 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-63)*-6*6\/((-18)\/3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s + 2*l, -5*s + 2*l = -2*l - 12. Let u = s - 6. Which is bigger: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/49*6)\/((-12)\/(-14)*(-40)\/(-60))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 142*x**2 + 2*x - 3. Let s be j(1). Let d = 86 - s. What is the remainder when 2 is divided by 44\/d*5\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.28\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9 (b) 0.4 (c) -1\/2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1.1 (b) 0.4 (c) 0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 4142719*c - 1380906*c - 1380904*c - 1380909*c.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -j + 4*j. Let q = j - 13. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*i**2 + 182*i**2 - 35*i**3.\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 199 - 66. Let l = 133.97 - m. What is l rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 + x**2\/2 - 8*x + 2. Let h(k) = 133*k - 98. Let m(u) = h(u) + 6*o(u). What is the first derivative of m(j) wrt j?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 1. Let u be x(1). Suppose -135 = -5*m - 5*p, -2*p - 33 = -u*m - m. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 192 = j, 2*b + 197 = 5*j - 196. Let i = b - -207. What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -191143*k + 2*k**2 + 191143*k. Let b(a) = 751*a. Determine b(c(w)).\nAnswer: 1502*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34644 - -65874. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105725.4 - 0.8.\nAnswer: 105724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -181*k - 27. Let b be n(-4). Let h be 40\/(2*1\/23). Suppose 3*d - v = -0*v + b, -3*v - h = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2 - 3, -14 = -3*u + 4*o. Let m be (-2)\/((-1)\/(-4)*u). Let d(f) = 2*f. Let x be d(m). What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - o - 5 + 2 = 0, 19 = 4*c - 3*o. Let m(t) = 5*t. List the prime factors of m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = 3*v + 131, 0 = -2*a + 10. Let m = 148 - v. Is m a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1615, 3231, 4845, 6457, 8067, 9675, 11281?\nAnswer: 12885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/35*(-10)\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 306120 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/28)\/2 + (16 - (-2116)\/(-161))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -791*k**3*w**3 + 2*k**3*w**2 + 3*k**2*w**3 + 9*k**2*w**2 - 4*w**2 wrt k.\nAnswer: -4746*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*3\/(-54)*-4. Let j(g) = -28*g - 44*g + 5 - g**z + 78*g. Determine j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -96. Let n = z + -43. Which is greater: -13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l - 36*l + 5*l**2 + 61*l.\nAnswer: 5*l**2 + 93*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = 4. Solve 0 = -r + 3*t + 8, -t = r + 4*t + c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152827*z**4 - 2*z**3 + 318814*z**2?\nAnswer: -3667848*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16146 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129 - 1993 = 155*g - 92*g - 728 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 2*u - 9. Let c(l) = -2*l**2 - 2*l - 8. What is -6*c(h) + 5*z(h)?\nAnswer: -3*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in -0.3, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36*-1)\/((-356)\/(-3738)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3111 is divided by 1034.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 133 (b) -2 (c) 16 (d) 3\/2 (e) 0.1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 2*r + 3. What is z(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 52. Let n be t(10). Let m(c) = c + 3. Let p be m(-8). Sort p, n, 5.\nAnswer: p, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1735 (b) -3 (c) -0.02 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:39 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2 - 1885*g + 118800 = 0.\nAnswer: -432, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2058 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 42*o - 13*o)*(-15*o - 15*o**4 + 15*o).\nAnswer: -555*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-5 - (sqrt(110)*-4 - sqrt(110))\/sqrt(10)) + (5 + sqrt(704)*-2 - (sqrt(704) + (sqrt(704) - (5 + (sqrt(704) - 1*sqrt(704)))))))**2.\nAnswer: -1340*sqrt(11) + 49479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*h, -8*h + 388 = 4*n - 4*h. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 532460291?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let l(r) = r - g*r - 3*r + 2*r + 4. Let o(w) = -w + 1. Determine l(k) - 4*o(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7556*m - 39 = 7559*m - x, -9*m - 219 = 3*x - 0*x - 84 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-140))\/(-4)*(-100)\/(-40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 768\/11, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-1)\/(-12)). Is (-3)\/((-1)\/((-8)\/n)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {o: 1, b: 3, k: 5, g: 5, a: 4, r: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 20*k + 24. Let n be j(-21). What is the third smallest value in -2, n, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 548426?\nAnswer: 3838982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 247211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7.3. Which is the smallest value? (a) 3 (b) -5 (c) 0 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14886361 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219336951.\nAnswer: 3, 191, 269, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*m - 81543 = -13302 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 15*i**3 + 8*i**3 + 6*i**3 - 3*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 2*f + f)*(-1 + 2 + 1) + (-1 + 1 - 3*f)*(5 - 5 + 1) - 3*f + 4*f + 0*f in the form n + q*f and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 - -3.1. Which is the second biggest value? (a) 1\/3 (b) o (c) -2\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -228, -18, 0.5, -0.3, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20849121 and 1055.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 434172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j**7\/j)))\/j*j**(-5)*j)\/(j**(-1\/5)*j*j\/(j**(-4)\/j)))**15 assuming j is positive.\nAnswer: j**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 5*n + 6. Let g be h(-5). Let y be (-16)\/2*(-1)\/g. Let x = 0.2 - 0.1. Which is bigger: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 403 + -46. What is the third derivative of -2*q**4 + 197*q**2 + 194*q**2 + 20*q**5 - g*q**2 wrt q?\nAnswer: 1200*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4167.6 + -4168. Put 0.2, 4, 76, 3, p in decreasing order.\nAnswer: 76, 4, 3, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:14 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 103*y - 18*y**3 - 7*y**2 + 137*y - 240*y. Let m(l) = 6*l**3 + 2*l**2. What is -4*k(f) - 14*m(f)?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, -7, -5.\nAnswer: -7, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*s = -4, 0 = -p - s + 2*s. Let v(c) = 10001*c**3 - 2*c**2 + c. Let j be v(p). Round j to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 77*z + 78*z - 156*z. Let m(i) be the second derivative of i**7\/630 + i**4\/4 - i. Let f(t) be the third derivative of m(t). Determine f(p(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 + 10*j + 56. What is h(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012067559 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*p = -3*p + 587, 5*t - 4*p = 1469. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2927878008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-99)\/(-30))*5\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -30091396?\nAnswer: -30091395.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9226156*r**2 - 8002483*r?\nAnswer: -18452312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Let j be h\/(-18) - 40\/(-18). Suppose -3*l + 4 = -j*l. Solve -3*w = -4*x - 5, x + 2*w + 35 = -l*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 600 - 484. Calculate the remainder when s is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s + 38188. Let u(o) = 24*o + 3. What is u(j(n))?\nAnswer: 240*n + 916515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2. Let f(y) = -y - 1. Let k(l) = -34*l + 4. Let b(i) = 2*f(i) + k(i). What is b(g(h))?\nAnswer: 108*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 3*v**2 - 2*v**2 + (-2 - 8*v + 2)*(v + 5*v + v).\nAnswer: -58*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157634309 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 189492*l - 3410840. Determine x(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19976257 + -5?\nAnswer: 19976252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 2. Let u be y(6). Find the second derivative of -9*k + u*k + k + 5*k**2 wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4943586160 divided by -4?\nAnswer: 1235896540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*c**3 - c**3 - 2*c**3)*(-3*c - c + 5*c) + 2*c**4 - 3 + 3 + 2*c**3 + 2*c**4 - 2*c**3)*(-6*c + 7*c - 14*c).\nAnswer: -78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/18 + (-4)\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -36*o**2 - 4*o**3 + 3*o**3 + 74 + 7*o + 12*o + 20*o. Let a be b(-37). Solve 9*x - 6*x = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -934, -4, -2, 3, -1 in ascending order.\nAnswer: -934, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-3 + 3 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111934 (base 15) in base 3?\nAnswer: 1112102120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43349\/15 + 2888. Find the common denominator of m and -8\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993) + sqrt(3993) + 5*-3*sqrt(3993))\/((sqrt(3) - sqrt(6)\/sqrt(2))*-5 + 3*((sqrt(3) - sqrt(6)\/sqrt(2)) + sqrt(3))) + 0.\nAnswer: -143*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((230\/(-10))\/(-138))\/(2\/45)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 169 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(105\/(-12)))\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*1*0\/9. Suppose m*k + 5*t = 5*k - 100, -4*t - 36 = -2*k. Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.767398 rounded to 1 dp?\nAnswer: -336.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154432120 - 33?\nAnswer: -154432153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5150.2 - -5150. What is the closest to 2 in 32, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -3*u**4\/2 - 31*u**3\/6 - 13*u**2. Is a(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.8631ms in microseconds?\nAnswer: 333863.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1147)\/(-259) - (1 - 22\/14). Let o(f) = -f**3 + 5*f**2 + 2*f - 4. Let t be o(5). Solve 31 - t = y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(2) - sqrt(2)*-1) + sqrt(2))*-1 - sqrt(2)).\nAnswer: -4*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - -4*(sqrt(833) + 0)) + -5*(sqrt(833) + sqrt(833) + sqrt(833)*-2) - (0 + -2*sqrt(833) + 4)) + 4)**2.\nAnswer: 40817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -45 + 1\/3*o**3 + 0*o + 15\/2*o**2. Find a, given that v(a) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 11:06 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b + 2056. Let a(i) = 2*i. Calculate 9*a(h) + m(h).\nAnswer: -h + 2056","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2640 and 5957160?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -13*w**5\/4 - 26327*w**4\/4 - 12830227*w**3\/4 + 510329611*w**2\/4 + 150979640*w + 20196259 = 0.\nAnswer: -1031, -1, -2\/13, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001654 to 7 dps.\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (952\/136)\/((-2)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 9*z**2 + 57*z - 17. Calculate the remainder when 2572 is divided by u(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174.5740458s to weeks.\nAnswer: 0.0002886475625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -66, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1 + 7*o - 2*o**2 - o**3 + 3 + 0*o. Let n = 906 - 910. Let v be h(n). Solve 4*y = -0*y - v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjshjsjmjbsyjhmjmmb. Give prob of picking 1 m and 2 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -7*n - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 - 132*p - 378 = 0. Calculate p.\nAnswer: -63, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 5*w. What is the units digit of h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3*y - 1. Let i be -4 - (-2 + -1 + 1). Let t be w(i). Let d(x) = x - 3. What are the prime factors of d(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 31. Let m be (k\/33)\/((-2)\/(-90)). What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 175, 217, 275, 349, 439, 545?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -247 divided by -227378\nAnswer: 247\/227378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let r(y) = -1681*y**2. Determine r(j(c)).\nAnswer: -15129*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 821 (c) 5 (d) -1 (e) -0.768 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61.39 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. What is the second derivative of 4*y**t - 5*y - 4*y**4 + 2*y**4 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 0.05, 1\/29, 0.8?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/3 + 78803056*x\/3 + 1552480408734784\/3 = 0.\nAnswer: -39401528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12825 and 871625?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y + 20. Let r(f) = f + 4. Let b(k) = 2*h(k) - 11*r(k). What is the remainder when b(-6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1300) - (sqrt(1300) + -2)*-1))**2*-6.\nAnswer: -31224 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/11 - (-1750)\/55. Suppose q = 3*t + t + 4*g, 19 = 2*t + 5*g. Find the third derivative of 0 - 10*u**5 + t*u**2 - 3*u**5 + 0 wrt u.\nAnswer: -780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -876, -2600, -7278, -16386, -31400?\nAnswer: -53796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -66. Let b be (-2)\/(-6)*(z - 3). Let c = -18 - b. Solve c*j = -2 + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 12*t. Let y = 0.09 + -0.1. Let o = y + 0.41. What is the second biggest value in o, 3, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -47, 0.5, 1, 2\/9 in descending order.\nAnswer: 1, 0.5, 0.4, 2\/9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.1, 1, 18, -0.2, 71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291260 is divided by 2407.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144834000 and 18?\nAnswer: 434502000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58041868, -116083737, -174125606?\nAnswer: -232167475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14648 * -1\nAnswer: -14648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11674 = v, 3*c + 2536 = -v + 14216. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 336 = 21*r. What is the thousands digit of 6\/r + 24198\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 2*v**2 - 10*v. Calculate k(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57538, 113861, 168972, 222877, 275582?\nAnswer: 327093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348278008?\nAnswer: 2, 31, 3191, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227 + 219. Suppose -l - 3 = -2*p, -11 = -2*p - 3*l + 12. Is 1986\/p*d\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 52 = y. What is the units digit of (y + 1)\/(1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 2:51 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:27 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = a, 2*a + a = -5*s - 11. Let g(w) = -3*w - 1. Let j be g(-1). Let p(d) = -2*d**2 - 2*d**2 - 2*d - 3*d**3 + 0*d**3 - 1 + j*d**2. What is p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4642 less than 5397956.7?\nAnswer: 5402598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*f - 2*f**2 + 25 + 26 + 31 - 79 in the form c*f + q*f**2 + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 18, -20, -76?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13*(-3 - (-327)\/108)*-1 and 53\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -78. Let l(u) = -u**2 - u + 13. What is the remainder when n is divided by l(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 u when four letters picked without replacement from {u: 2, m: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5845716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*y - 9 = 0, -4*z - y = -0*z - 87. Suppose -3*f + 87 = -2*t, -f + z + 12 = -2*t. Find the common denominator of -101\/4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -l, -2*l = -2*r - r + 13. Let g(k) = 4*k**r + 4*k**2 - 5*k + 0*k - 1 - 3*k**3 + k**2. Is g(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3955500, -3955503, -3955508, -3955515, -3955524, -3955535, -3955548?\n\"Answer: -a**2 - 3955499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irriyyyrpyf. Give prob of sequence pi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/25, -0.3, -1\/6, 0.5523?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 162*b + 616. Calculate s(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 20*s - 212490. Suppose -15*v = 3*v - s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 4*a. Suppose 1079 + 33 = -4*o. Let s = o + 281. Sort a, -1, s.\nAnswer: -1, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 3, -5447 in increasing order.\nAnswer: -5447, -74, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 2163295*h - 21633450.\nAnswer: 5*(h - 10)*(h + 432669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 675*t**2 + 2*t + 1421*t**2 - 669*t**2 to o*t**2 + l*t + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/92*-8*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 90.3. Which is the fourth biggest value? (a) 2\/11 (b) x (c) 4 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330690757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-5)*((-4)\/(-5) - (-10266)\/580)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**3 + 13*r**2 + 4. Let g(x) = -29*x**3 - 27*x**2 - 9. Let n(v) = -4*g(v) - 9*q(v). Find the third derivative of n(z) wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 486, 508, 554, 630, 742?\n\"Answer: s**3 + 6*s**2 - 3*s + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1661*o**3\/6 - 23*o**2 - 19*o. Let z be x(-14). Round z to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(144)\/sqrt(4)))\/(sqrt(24)\/((sqrt(56)*-2)\/sqrt(7))) + 5.\nAnswer: -2*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*x**2*z**4 + 52*x**2*z**2 + 2*x**2*z + 9*x*z**6 - 3*x - z**2 wrt z.\nAnswer: 144*x**2*z + 1080*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216*h**3 + 133 wrt h.\nAnswer: -648*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 93. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415488351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -41?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576*x + 15 = -577*x. Let s be (x\/10)\/(9\/(-6)). Solve -5 = 4*d - s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 + 6*j + 1. Let q(r) = 79*r**2 - 38*r + 17. What is q(w) + 6*x(w)?\nAnswer: 37*w**2 - 2*w + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 2118085*w = 0 for w.\nAnswer: -423617, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -42. Let p = a - 8.1. What is the nearest to 5 in -2\/9, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625476546 divided by -4233?\nAnswer: -147762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 20. Solve -5*i = -5*v - k - 6, -1 = 3*v + 2*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23188 greater than 23189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*m + 26 = -l, 2*l - 5*m + 30 = 0. Let o be (-4 - 165\/l) + -3. Let g(t) = t**2 + 4. Let v be g(0). Put -1, o, v in increasing order.\nAnswer: -1, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - 9*m**2 - 498 + 11*m**2 - 8*m**2 to the form o*m**2 + f + s*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21537 is divided by 4269.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 + 2 = 2*c, -5*c = -2*x + 15. Suppose -3*w = 35*w + 190. What is the nearest to -0.1 in w, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c65 - 389ca?\nAnswer: -3962f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 384 = 47*t - 16*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 9*q + 5. Calculate j(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 5:44 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22888?\nAnswer: 2, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h - 3*h + 3*z, h - 12 = 5*z. Which is smaller: -2\/145 or h?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -24. Let u = g - -20. Let x(k) = -1 + 1 - 8 + 2*k. What is x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10347052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 33176*i**4 + 265500*i**3 - 597456*i**2 + 54*i + 896184 = 0 for i.\nAnswer: -16596, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(1100) + 3 + sqrt(1100) + 0 - (-1 + -1 + sqrt(1100)) - (-2 + -5 + sqrt(11) + 1)*-2)**2.\nAnswer: -168*sqrt(11) + 1635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6445, 12981, 19709, 26725, 34125?\nAnswer: 42005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 2*j - 1. Let z(o) = o**2 - 1. Let h(l) = -p(l) - 3*z(l). Let r be 262\/524 + 1 + 3\/2. Determine h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + u + 2*u + 0 - u + 0 + (-3 + 0 + 2)*(-u + u - u) + 2*u + u - u - 2*u + 4*u - 3*u - 1 + 454*u - 2 - 409*u in the form s + i*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157*t**2*y**3 + 19*t**2 - 7*t*y - t + 328749*y**3 wrt t?\nAnswer: 314*t*y**3 + 38*t - 7*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times 10.23\nAnswer: -1.8414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 42*r**2 - r. Let o = -302 - -823. Let b(n) = -1028*n + o*n + 511*n. Calculate b(j(l)).\nAnswer: 168*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -150728 less than -0.5?\nAnswer: 150727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4756 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1087178 (base 9) to base 15\nAnswer: b988e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.225457 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 4:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from zzwzzwwwzzzswwssszz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057853255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4387646 years?\nAnswer: 0.004387646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8263844 to the nearest integer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + c = -9, -3*u + 4*c = -u - 24. Solve 4*n - 30 = -2*k, n + 5*k - 20 = u*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 135?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11 - a + 11 - 6 + 1 + 3*a**2 + a**3. Let c(d) = d**2 - 1. Determine 3*c(m) - w(m).\nAnswer: -m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1506 + -1507.6949. What is y rounded to 2 decimal places?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/21408532 and 9\/10.\nAnswer: 107042660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4654 and 0.6.\nAnswer: 0.27924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*d - 36. Is 31 a factor of 247 - (-8)\/(24\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 15*o - 10. Suppose 3 = -3*i, 0 = -4*j + 3*j + 4*i + 18. Suppose 15*a - 43 = 47. What is the lowest common multiple of a and x(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2088*z. Let v(a) = -1567*a**2. Calculate v(l(j)).\nAnswer: -6831718848*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 15*a + 128 = 0. Let p = 36 + a. Solve p*q - 2*s - 10 = 0, -1 = 2*q + 3*s - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35124 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18486*k**3 - 8554*k**2 wrt k.\nAnswer: 110916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**5 + 7*n**4 - 7*n**3 - 11*n. Let t(a) = a**4 - a**3. Let i(h) = 2*m(h) - 14*t(h). What is the second derivative of i(z) wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:59 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7060\/34947*187\/(-255)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/2))**(-18)\/(b\/b**3*(b*b*b**(2\/3)*b*b*b*b)\/b))**47 assuming b is positive.\nAnswer: b**(-4324\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 5*k + 6*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101484.7676114 - 100568.41761. Let n = 916.14 - c. Let t = n + 0.21. Round t to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 126*b - 4152. Determine q(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112865 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/8, 6 in ascending order.\nAnswer: -1\/8, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 212022*b**2 - 212007*b**2 + 8*b - 5*b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81156367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 - 43*t - 9. Let l(a) = -18*a**2 + 44*a + 9. Give -3*l(s) - 4*q(s).\nAnswer: -2*s**2 + 40*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*g - 4, 4*r + g - 8 = -g. Which is the fourth smallest value? (a) r (b) 0.1 (c) 2.9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/15)\/(-1 - (-39)\/45). Solve -c*n - 5*t = 15, t = -2*n - 5 + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -140 + 289 - 8*k - 138 - k**2. Let d be n(-4). What is the highest common divisor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2 - 3\/2*i**2 + 0*i + 1\/3*i**3. Let r = 58 + -55. Let b(v) = -3*v**2 + 8*v. Give r*b(a) + 8*h(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2254893063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 8 = 8*l. Let f(w) = -3*w + 3*w - 2*w**2 + l*w**2. Let d(b) = -9*b. Calculate f(d(q)).\nAnswer: 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Suppose 1 = -2*b - 5*j + 11, -4*b = -d*j - 50. Let n(i) = -i**3 + 3*i**2 - 2*i + 2. What is the smallest common multiple of n(2) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5413 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r**2 - r**2)*(-2*r - 2*r + 5*r)*(-5*r - 66 + 66).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpd when three letters picked without replacement from {p: 2, d: 3, w: 4, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122 and 16?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15678 and 4122.\nAnswer: 3590262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + 6 + (-75)\/(-22) and (1\/(-2))\/(6\/109).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 5*u - 10, -2*u - 738 + 761 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 7:47 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17369065 to the nearest 1000.\nAnswer: -17369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27705829487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1304 + -1518. Which is smaller: -202 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*s - 25 = 0, 0 = -4*o - 5*s + 2*s + 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -72*g. Let r(m) = 2*m + 1. What is n(r(a))?\nAnswer: -144*a - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4))\/f**(-2\/11)*(f**(-1))**(-7\/6)*(f**(1\/13)\/(f**(7\/4)\/f))**49 assuming f is positive.\nAnswer: f**(-59429\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 - -25?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11479 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 71. Find the first derivative of 55*u + 7*u - 99*u**a + 101*u**2 - 2 wrt u.\nAnswer: 4*u + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -604?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 45*y + 505. Give f(18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.145 + -1870.145. Let f = h + 2042.6. Round f to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x - 1. Let h(t) = -10*t**3 - 52*t + 3. Let k(q) = h(q) + 3*p(q). What is the second derivative of k(a) wrt a?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0445818 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + 133*j**3\/4 + 543*j**2\/2 - 4428*j.\nAnswer: j*(j - 8)*(j + 18)*(j + 123)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 49*b - 147. Let n be u(-19). Sort -2\/11, -0.1, n, 0.3, -4.\nAnswer: -4, -2\/11, -0.1, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**2 + 0*c**2 + 8*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/2))**(-4\/5)*(i*i\/(i*(i**12*i)\/i))\/((i\/(i**(-2\/37)*i*i)*i)\/i) assuming i is positive.\nAnswer: i**(-1934\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 209718.\nAnswer: 4823514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/7 - (-2 - 2). Suppose p = -q*p - 113000. Round p to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 624\/1560*(11 - 1). Let g(p) = -p**3 - 5*p**2 - 2*p + 4. Let w be g(-4). Sort w, r, 3, -1 in decreasing order.\nAnswer: r, 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26607 and 72930.\nAnswer: 46323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36883 and 71808.575.\nAnswer: 34925.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/13 and -103\/705280212?\nAnswer: 705280212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109862863*x**2 + 97988488*x.\nAnswer: 219725726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7167 + -8132793849?\nAnswer: -8132793848.2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ury when three letters picked without replacement from uuuuyycycyyycurc?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {y: 1, c: 2, l: 1, k: 2, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 - -5228.5698?\nAnswer: 4880.5698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*o - 472*o - 169632 = -3515*o + 1260*o for o.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2291 (c) -0.5 (d) -16 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*c = -6 - 6, t - 8 = -3*c. Let o = -17 + 17. Solve o = t*m - 0 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1446 + 1050?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 19. Let p be k(6). What is the units digit of (-52)\/(-13)*((-4)\/(-2) - p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 0 + 0)*(-16 + 7 + 5 - 2*j) + (-1 + 1 + j**2)*(-1 + 5 - 2 + (-1 - 5 + 4)*(2 + 1 - 2) + 258 + 202 - 131) as y*j + a + b*j**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {t: 2, r: 1, g: 2, u: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-189) - (-52)\/9. Let m be 0\/(-3) + c - 8\/4. Suppose -70 = -x - m*x. Is 13 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + 0.17. Let n = s - -0.08. Let f be (-1)\/4 - (-13)\/(-12). Which is the third biggest value? (a) -2\/7 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5940000 to the nearest 100000.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 + 13870*z**3\/3 - 34928773*z**2\/3 - 30434136540*z - 14444093863692.\nAnswer: -(z - 7781)**2*(z + 846)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 2*z**2 - z + 1. Let q(x) = 21*x**3 - 36*x**2 + 18*x - 27. Give -18*c(i) - q(i).\nAnswer: -3*i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7101\/7 not equal to -1013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 + 1271.\nAnswer: 1274.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2178*i**2 - 22*i - 200. What are the prime factors of r(-6)?\nAnswer: 2, 5, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39516 - 27516. What is l rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l**3 + 7*l**2 - 7*l**2 + (186*l + 105*l - 63*l)*(-3*l**2 - 3*l + 3*l).\nAnswer: -701*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h**3 - 1 + 115*h**3 - 173*h**3 + 122*h + 1.\nAnswer: -2*h**3 + 122*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1626 + -1618. Solve 3*u + 12 = q, -p*u + 2*q = -4*u + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 343569.2 nanograms?\nAnswer: 0.0000003435692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 1, k: 3, o: 3}. What is prob of sequence ek?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0719 * 0.06\nAnswer: 0.004314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 5*h - 2160. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**2 + 69 - 11*f**2 - 2*f**2 + f**3 - 3*f**2 - 25*f. Let u be l(22). Solve 4*r = -2*j + 16, u*r + 0*r = -2*j + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-9) + -8 + (-110)\/(-315)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**3 + 55*a**2 + 6*a.\nAnswer: a*(a + 6)*(9*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11294971 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 8*y = 3*m + 1850, -4*m + 5537 = 3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 + 30?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let f be u(2). Suppose -3*t + 15 = 3*h, -4*h + 0*h = -3*t + 1. What is the lowest common multiple of 2 + f + -3 + 11 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + 1)*-2 + -1*sqrt(38)\/sqrt(2))**2*-3 + 1.\nAnswer: 72*sqrt(19) + 1051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179 - 181 + 18*w**2 + 13*w**2 to l*w**2 + y*w + g and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*-2)*3)\/(sqrt(33)\/(sqrt(3)*-2)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -430146 (base 8) in base 12?\nAnswer: -6b032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*j + 4*j - 13*j)*(j - 3*j - 2 + 0*j) to the form w + d*j + v*j**2 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-1 - -19 - (80 + -25)) - -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/33)\/((-27972)\/(-5076918)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*l + 161*l + 3*l = -21*l - 11742 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*o + 6*r - 19497, r = 5*o - 24378. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -80\/9, -2 in decreasing order.\nAnswer: 3, 0, -2, -80\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:26 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 - -50730?\nAnswer: 50685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*i - 9 + 45 - 1. Let y = -42.06 + 0.06. What is the third smallest value in -2, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(1\/8) - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 3}. Give prob of sequence kkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 18*o. Let p(k) = 343*k. Give -56*l(r) + 3*p(r).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l - 1\/2*l**2 + 3. Let y(q) = q - 2*q + 2*q. Give h(y(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 41.42. Let l = s - -0.5. Let t = l + 0.07925. Round t to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45)\/(-20)*-1*256\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39831, -39823, -39811, -39795, -39775, -39751?\n\"Answer: 2*u**2 + 2*u - 39835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -86756195?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 95*z + 1042. Let y be p(-11). Let t(d) = 6*d**3 + 6*d - 3. Let u(i) = -2*i**3 - 2*i + 1. What is y*t(w) - 8*u(w)?\nAnswer: -2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225.1 - 225.3. Which is the nearest to m? (a) 4 (b) 5 (c) 0.11 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25\/3, -5, -0.2?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7942 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-4 - (-3140)\/784)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -539*v**6\/60 + 1325*v**3\/6 - 1240*v**2. Differentiate p(g) wrt g.\nAnswer: -3234*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 327\/(-9) + (-5681)\/(-1311).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(26)\/sqrt(2) + -3 + (2*sqrt(117))\/sqrt(9) + sqrt(13)).\nAnswer: -12*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -1728. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/(-11)*58\/(-8). Suppose -m = 5*o - 164, m - d = -o - 3*m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 45. Let p(c) = -c**2 - 9*c + 3. Let v be p(y). Let i(d) = -6*d - 6 + 7*d**2 + d**3 - v*d**2 + 0*d**3. Calculate i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29466.13 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1.1. What is the second smallest value in c, -1\/4, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 345*r**2 + 2586*r + 2928.\nAnswer: -3*(r - 8)*(r + 1)*(r + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*v**2 + 4140*v**2 - 546*v**2 + 55*v**2.\nAnswer: 4461*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 96. Let h(c) = -219*c + 44. Is h(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -838697 + 838726 + 2*f**3 + f**4 + f**2 + 4*f - 2*f**4 as y*f**4 + c*f + a*f**3 + g*f**2 + z and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + 3 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -3*w - 4*z + 165, w - 4*z + 17 = 0. Is w > -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 11*g**2 + g + 14. Let h be l(-11). Suppose h*y - p + 36 = 0, 3*y + 0*p + 36 = 3*p. Let n = 22 + y. Solve -2*x = 3*x + n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 121 - 107 = 0. Put x, 1, 2 in decreasing order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2595515, 2595597, 2595679, 2595761, 2595843?\n\"Answer: 82*d + 2595433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4534305*x + 2*x**3 - 4534305*x - 18475*x**2 + 18475*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -7769)\/(-6) + -4. Let a = u + -2044. What is a rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.514 != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2668)\/(-87))\/((-2)\/3). Is -46 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0 (c) -1.64 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 85\/30 - 1\/(-6). Suppose -3 = -3*d + r. Solve 2*s + d*s = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8054, 8044, 8034, 8024, 8014?\n\"Answer: -10*w + 8064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loykykkkkklylkkllkyk. Give prob of picking 2 l.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + 1794411?\nAnswer: 1794410.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/2 + 537*t**4 - 40209*t**3\/2 - 43938*t**2 + 63504*t = 0. Calculate t.\nAnswer: -392, -3, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-5)\/2)*(-15 - -4589) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*p - 22, 14 = 786*p - 779*p for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128929 - 128929 - 52*k**3.\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/66 and -64\/148233483?\nAnswer: 3261136626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/30 + i**5\/60 - i**4\/12 + i**3\/6 - 6*i**2. Let x be z(1). Solve 2*n = -0*n - x*v - 22, v = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 141. Let o be 11\/15 - 1\/3. Let w = 1659 - 1656. Which is the closest to o? (a) -5 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44565024 by 22576.\nAnswer: -1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3*z**4\/4 - 5*z - 9. Differentiate h(w) with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*c + 34, 56*c = 51*c - 2*l + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/142 and -39\/710?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -162, 65, 276, 471?\n\"Answer: -8*b**2 + 251*b - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*j = 12, -l - 16 = -4*l - 4*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 7*x**2 + 4*x - 3. Calculate k(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, 2, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 8*a - 21 - 27 + 60.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 2\/61, -3\/110, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/120 - y**5\/15 + y**4\/24 + y**3 - 4*y**2. Let p be n(6). What are the prime factors of (-1 + 0)\/((-6)\/p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101.41 and 6437.\nAnswer: 652776.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b5 - 354?\nAnswer: -29f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + w = -21, w = -1 - 2. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1429 - 1428. Is j bigger than -1\/1033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(15\/3))\/(1\/(-1)). Solve -2*l + 6 = -w, 2*l + i*w + 5 = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25584010 and 9150.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g**3 - 4*g - 6177. Let y(n) = 6*n**3 - 2*n - 3088. Let h(u) = 6*b(u) - 11*y(u). Differentiate h(v) wrt v.\nAnswer: 72*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g = 47*g + 5. Differentiate 19*p**4 + 3 + g*p**2 - 17*p**2 + 12*p**2 with respect to p.\nAnswer: 76*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1\/29 in decreasing order.\nAnswer: 4, -1\/29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-60)*-8 + (-28)\/10. What is the remainder when 138\/9*k\/4*-9 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3969) + -1*sqrt(3969) + sqrt(3969)))\/(sqrt(14)\/((sqrt(16)*-2)\/sqrt(8))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mpmpmm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(6\/(-51)). Which is the smallest value? (a) 4 (b) -1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**2. Let t(y) = -136421482*y. What is t(z(c))?\nAnswer: 1364214820*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -123*y + 117*y. Calculate the remainder when 101 is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 172*i + 23. Let x(p) = -82*p + 1. Let g(l) = k(l) + 2*x(l). Let y(b) = 5*b**2. Give y(g(c)).\nAnswer: 320*c**2 + 2000*c + 3125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/12 + v**3\/3 - 3*v**2\/2 - v. Let m(c) = -c**3 - 5*c**2 + 6*c - 4. Let z = -17 + 11. Let x be m(z). Determine w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*z + 4*n, 3*z - 27 = -z - n. Factor -13*a**3 - 2*a**3 + 4 + z*a**3 + 4*a + 5*a**3 - a**4 - 3*a**2.\nAnswer: -(a - 1)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**4\/4 - 7607*y**3\/2 - 115621*y**2\/4 + 15259*y + 17448 = 0.\nAnswer: -8, -4\/7, 1, 2181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1540863 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -9a53a?\nAnswer: 9a53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*l - 5*d = -284*l - 14, l + 9 = 4*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20168499*o**3 - 412*o**2 - 6695 wrt o?\nAnswer: 121010994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/211225 and -49\/150.\nAnswer: 1267350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 3, y: 3, u: 4, d: 4, w: 2}. Give prob of sequence yydw.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 3 - 3.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 o, and 1 h when four letters picked without replacement from egohgeegogbbgoghhgh?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17380\/(-43450)*(-10)\/(-582).\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 2252 = 6*b. Is 564 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-4)\/(-12)*(-4)\/(-20)). Let q = f + -71. Let p = q + 50. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -493*h. Let q(r) = r. Give q(t(b)).\nAnswer: -493*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 - 88*r**3 - 744*r**2 + 5760*r + 13824 = 0. Calculate r.\nAnswer: -24, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -x + 5*u + 42, -2*u - 8 = 0. What is the lowest common multiple of 20 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534a72 (base 14) in base 10?\nAnswer: 2817404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 = -7*g - 3*y + 462, -4*y = -10*g + 38 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + -5*((sqrt(68) + 5*sqrt(68))**2 + 3).\nAnswer: -12256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162640*z + 162624*z = 368 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647544?\nAnswer: 2, 3, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 3869, -5\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 10*z**2 + 3. Let k be x(-10). Suppose k - 6 = -q. Find the third derivative of -5*t**4 + 0*t**4 + 8*t**6 + 5*t**4 - q*t**2 wrt t.\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175502*f**2 + 175490*f**2 - 350967*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 + 53*h + 1104. Calculate the remainder when t(-18) is divided by 481.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2835, -5710, -8669, -11766, -15055?\nAnswer: -18590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -90268?\nAnswer: -90263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4272 and 256587.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1549*s**2 + 22*s + 23. Let x be d(-1). Let r = x + -739. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -167. Let u = 160 - m. Let g = u + -86.849. Round g to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.09, -12, -0.5, 11, -4 in decreasing order.\nAnswer: 19, 11, 0.09, -0.5, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*o = -20, 4*u + 0 = 2*o + 16. Suppose -5*t = -3*s - 10560005, -u*s + 6137922 = 2*t + 23737920. Round s to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580244389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5445.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1973 times 1.9\nAnswer: -3748.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**5 + 13*t**4 + 16*t**3 - 5*t**2 - 58*t - 13.\nAnswer: 540*t**2 + 312*t + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 5*l + 3. Let g be o(-2). Let w(u) = u. Let i(m) = -m. Give g*w(t) + 6*i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008738115 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.31 - 7.91. Let o = c - -8. Put 4, o, 0.1 in ascending order.\nAnswer: 0.1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-16))\/((-2)\/4). Let u = 220.7 + 798.3. Let f = u - 1023. What is the fourth smallest value in -0.5, f, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1113043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 1580.\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 71 = 3*r + c, -4*c - 16 = 0. Let i = r - -62. Let s = i - 17. Calculate the greatest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*q = -15, 2*q - 12 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**6\/3 - h**4\/6 - 28*h**3\/3 - h - 43. What is the second derivative of u(p) wrt p?\nAnswer: 120*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 2663607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10803*x**2 + 4322*x**2 - 2*x**3 + 4797*x**2 to the form h*x + l + t*x**2 + z*x**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19354 + -19357. Let u = 3232\/17 - 190. What is the nearest to 1\/2 in 1\/4, u, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l = -9*l + 3348. Suppose l = 26*c + c. Factor 2\/3*s**4 + 1\/9*s**5 + 16\/9*s - 8\/3*s**c + 1\/9*s**3 + 0.\nAnswer: s*(s - 1)**2*(s + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:37 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 7*g**2 + 2*g - 4. Let v(a) = -4*a**3 - 15*a**2 - 5*a + 9. Let s(k) = -7*u(k) - 3*v(k). Let d be s(-3). Solve -4*w = -8*w + d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*p**3 - 5 + 1 + 18*p**3 + p + 30*p**3 to the form b*p + h*p**3 + d + z*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d**(-6))\/(d\/d**0*d*d)**10 assuming d is positive.\nAnswer: d**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 2*w**5\/15 - w**4\/12 - 5*w**3\/6 + 7*w**2. Suppose 0 = -4*g - 2 + 30. Is d(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 - 255*i**2 + 19*i - 1034 with respect to i.\nAnswer: 6*i**2 - 510*i + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**4 - 72670196*z**3 + 886761634*z?\nAnswer: 36*z**2 - 436021176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285922740.\nAnswer: 2, 3, 5, 4765379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1595, 3195, 4795, 6395, 7995?\n\"Answer: 1600*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.3 - -7.69. Let s = j + -0.6. Let l = 0.01 + s. Is l > 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-3\/19)\/g))**49 assuming g is positive.\nAnswer: g**(2009\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*w + 11, 2*w + 63*t - 66*t + 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95039 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 16*d - 27. Solve 0 = -d*o + 5*j + 9 - 3, 2*j - 8 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10872 and -43\/76602.\nAnswer: 138802824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 511 = -f, s - f - 70 = 99. Let l = s - 76. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/5 - 1837*c**3\/5 - 5556*c**2.\nAnswer: c**2*(c - 1852)*(c + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3367 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*c - 663*c + 310*c = 1830 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = -4*o - 1, f = 3*o + 5. Suppose v - 105 = -f*y, y + y = 5*v + 75. Suppose -2*s - b - 2*b + y = 0, s - 3*b = 43. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -20*u + 108. Suppose -u*q + 40 = 4*q. Solve 28 = 4*j + q*c, 2*j + 5*c - 20 = c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 76. Suppose -5*m = -7*m + 5*s + 2510, p = -3*m - 4*s + 3742. What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14189, -14194, -14199, -14204, -14209?\n\"Answer: -5*w - 14184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y - 1. Let f(o) = -45*o + 3. What is 3*f(n) + 7*r(n)?\nAnswer: 19*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 129173 = -113017. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20736112+2.0109\nAnswer: -20736109.9891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8277293, 0.3, -3\/5?\nAnswer: -8277293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972\/162*(-169)\/78.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3*n**2 - 11*n**4 + 22*n**4 - 2*n - 12*n**4 to r + k*n + i*n**2 + o*n**4 + p*n**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 6. Let o be d(-6). Let r = -42 + 40. Sort 5, o, r in decreasing order.\nAnswer: 5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 26*s**2 + 2546*s - 2700. Determine k(-99).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -243420 rounded to the nearest one thousand?\nAnswer: -243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*r + 5*z, -19*r - 77 - 33 = 3*z - 164 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 517, 1173 in increasing order.\nAnswer: -3, 517, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2183 or 2220?\nAnswer: 2183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9406 + -9406.00006347. What is w rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6987 and 2733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -323.12 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 7. Let c(i) = 6*i**3 - 13. Let g be ((-16)\/(-12))\/(8\/66). Give g*v(y) + 6*c(y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -7, -15, -15, -1, 33, 93?\n\"Answer: p**3 - 5*p**2 - 2*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - r + 2903 = 0, -4*d + 11618 = -10*r + 16*r. Calculate the highest common factor of d and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11922967 times -9?\nAnswer: -107306703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j*j)**43*j*j**(-5)\/j*j*j**(-5\/3)*j assuming j is positive.\nAnswer: j**(502\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 44 = -2*s. Suppose -3 - s = -5*p, -4*j + 120 = -4*p. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.1 to 0 dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36657 = 8*y - 37391. Suppose -y = -47*j + 39*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k - 52*k + 5766 = -11*k. What is the remainder when k is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 89\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 6*j**4 - 102*j**3 - 44*j**2 + 48*j = 0. Calculate j.\nAnswer: -4, -1, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7376334, 7376463, 7376672, 7376955, 7377306, 7377719, 7378188, 7378707?\nAnswer: 7379270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -21905*t - 54. Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 + 0*o**2 - 39*o + 39*o + 6*o**2. Let x(u) = -23*u**2. Give x(m(j)).\nAnswer: -3312*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 1 - 12\/(9 - 3). Solve -6 = y*i - 0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4920*i + 5032*i + 4368 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4096)\/(-24) + (-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -5 - (0 + 1). Let p = q + 4. What is the least common multiple of (-7 - (p + -2))*-1 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Let q(r) = r - a*r + 4*r. Let i(v) be the third derivative of -v**4\/3 - 18*v**2. Calculate i(q(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2666*s**5 + 2*s**4 - 8*s**3 + s - 144596 wrt s.\nAnswer: -53320*s**3 + 24*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 107*p. Let f(v) be the third derivative of 0*v**3 + 0 - 7*v**2 + 1\/30*v**5 + 0*v**4 + 0*v. Calculate f(x(c)).\nAnswer: 22898*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrccrrccccrccccrcr. Give prob of picking 4 c.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let c(d) = -1870705*d**2 - 3*d + 12. Determine f(c(j)).\nAnswer: 3741410*j**2 + 6*j - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -22*a**2 + a. Let u(c) be the first derivative of 54 + 105 + 8*c**2 - 6*c**2. What is z(u(r))?\nAnswer: -352*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-48)\/((-18)\/60*-5))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 786905\nAnswer: -3\/786905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 + 45. Let v = i + 71. Calculate the remainder when 1 + 1 - (-80 + -1) is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from dddedgedadgdd?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - h + 197 + 89, -2*l + 302 = 5*h. Suppose t - 2*s = -83, 0 = 4*t - 2*s + 105 + 251. Let v = t + l. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6680487 to the nearest integer?\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 26*o**2 - 18*o - 23. Let p(k) = -2*k**2 - 36*k + 65. Let q be p(-19). Let d be n(q). Is d > 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9965, -40008, -90081, -160184?\nAnswer: -250317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 2\/15*d**3 + 0*d + 1\/10*d**2 - 3\/20*d**4 + 3. Factor y(c).\nAnswer: -c*(c - 1)*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 - -3.3. Which is the nearest to 1? (a) t (b) -8\/3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:26 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 12) in base 4?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 44 = -12*k. Let q = 24 + k. Differentiate -24*i**3 - 3 + q + 26*i**3 with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.21027 millilitres to litres.\nAnswer: 0.08721027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 11:23 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. What is the closest to p in -2, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z - 564. Let j be y(-27). Solve -j*o + 18 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 194 + m**2 + 1962*m**3 - 68 - m - 65 - 60 to r*m**2 + d*m + n + v*m**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 111584*g**3 - 764340952*g**2 + 193122111072*g - 11981746869156.\nAnswer: -4*(g - 123)**2*(g + 14071)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2356 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.1, 179, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 34*s = 25, -2*s = 4*l - 54. Is l != 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - ((-18)\/3)\/3 - -1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*1*-4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 q, and 1 o when three letters picked without replacement from {b: 3, q: 1, o: 7, m: 1, a: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:50 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*j + 0 - 3 + 5 - 4.\nAnswer: -463*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*-2 - -2. Suppose 11 = p*o - 21. Let s = o - 6. What is the lowest common multiple of 1 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 209\/44 - (-2)\/8. Suppose -v*c = 10 - 70. Let u(q) = -q**3 + 11*q**2 - 14*q - 12. Let p be u(6). What is the greatest common factor of c and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19735, 19718, 19701, 19684?\nAnswer: 19667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1387512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 - 4*k - 15. Let l be c(-5). Solve -l = -m - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - 46\/(-6). Suppose -7*g - 6 = 43. Let u = k + g. Which is bigger: 5\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267 and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + ((-8736)\/130)\/8\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34124 (base 5) to base 4.\nAnswer: 211232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 3094618530 and 0.072.\nAnswer: 3094618530.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**3 + 6*f + 7. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*j**2 - 4*j**3 + 3*j**3 + 0 - j**3 as n*j + h*j**3 + r + i*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2440, 2429, 2420, 2419, 2432, 2465, 2524, 2615?\n\"Answer: y**3 - 5*y**2 - 3*y + 2447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/15 + 67\/120. Sort -0.2, x, -3 in decreasing order.\nAnswer: -0.2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*c + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 46. Let h be 1*(r + -4 - 0). Let g(u) = 1. Let n(k) = k - 3. Calculate h*g(w) - n(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/11 - (-10 + (-216)\/(-22))\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 4*a**2 + 4*a - 3. Let j(v) = 4*v**3 - 3*v**2 - 4*v + 2. Suppose 24*w = 62 + 10. What is w*j(y) + 2*k(y)?\nAnswer: 2*y**3 - y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1351656 (base 7) to base 12\nAnswer: 88729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 70 - 3*a - 11.\nAnswer: -3*a - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -38, 2\/7, 160\/9, 105, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.1. Let m be (-1)\/(-5) - (532\/(-20))\/7. Which is the second biggest value? (a) i (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 1. Let r = -6 + 4. Let v = r + 4. Let q(n) = 2*n - 1. Let d be q(-4). Let y(h) = 5*h**2 + 4. Calculate d*a(j) + v*y(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4 + 8*t**2 - 12*t**2 + 16*t**2 + 5 + 7*t. Let p(k) = 6*k**2 + 4*k + 1. Calculate -3*c(o) + 5*p(o).\nAnswer: -6*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*p - 22 + 22 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 5, w: 2, t: 4, j: 1, o: 1}. Give prob of picking 1 y, 1 w, and 1 t.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1675 - -4?\nAnswer: -1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = 1. Suppose 0 = f*a + 4*h + 10, 0*h - 5*h - 20 = 0. What is the units digit of (75 - a)\/3*(-3)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*r + 1028*r = 2023*r - 273 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by (-13 - -8)*(-3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + 4*sqrt(304) - (sqrt(304) + sqrt(304) + 1 + sqrt(304) + -3)) + -5)**2 + 3 + 4.\nAnswer: -48*sqrt(19) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*q + 143*q = -1354*q - 108264 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1338 - 1340 - 29*i**2 + 2677 + i)*(-i**3 + 1 - 1).\nAnswer: 29*i**5 - i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 45260 = o, 0 = -3*o. Suppose -89885 - l = 4*k. Round k to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3425 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (11 - (7 - -4 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*3*((-3 + sqrt(245) + 2 - sqrt(245)) + sqrt(245) + 0 + sqrt(245) + -4)**2 + -4).\nAnswer: -840*sqrt(5) + 6038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*((2*-4*(sqrt(84) + sqrt(84)*-1))\/(-5*sqrt(192) - -1*2*sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*u = 87*u + 7119 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4068 - 11517. Let f = -25051658\/15 + 1677565. Let s = f + x. Find the common denominator of 58\/3 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1771899, 3543806, 5315715, 7087626, 8859539?\nAnswer: 10631454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*m - 224 = 72*m. Is (m\/6)\/((-46)\/(-69)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180 a factor of 16768429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1.1, 4, 2\/13?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-888)\/80) + 16\/(-60).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((42 - 72) + (0 - 8) + -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/2, 664, 1\/75 in increasing order.\nAnswer: -3\/2, -1, 1\/75, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74383043?\nAnswer: 7, 19, 31, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1170*d**3 + 22*d**2 - 14896 wrt d?\nAnswer: 3510*d**2 + 44*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*z + 43 + 91, 6 = -2*j. Solve z*d = -10 - 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 300. Suppose -p = 3*f - 57, -p + 3*f + 12 + l = 0. Suppose -87 = -2*n + 6*h - h, -2*h - p = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-4)*32\/48. Let w(g) = -2*g - 2. Let o(j) = -5*j - 3. Calculate k*o(r) - 5*w(r).\nAnswer: -5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/(-1056)*(-4)\/((-16)\/20)*(-1)\/1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000004 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {u: 2, m: 1, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*h + 2*h. Let v be (-14)\/(-4) + 115181\/2002 + -61. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 1.92. Let x = -0.1799953 + b. What is x rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.09 (b) -2\/5 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*j - 4*j. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/((-1)\/30). Let a(r) = -2*r**3 - 7*r**2 - 5. Let p be a(-5). Let g = p - y. What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 161 - 31. Suppose 0 = 2*g + k - 567. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4075373.\nAnswer: 1\/4075373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 672724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 209291*d**3 - 1248087?\nAnswer: 627873*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-995*g**2 - 1134*g**2 + 130*g**2 - 4*g**2)*(0*g - 7*g**3 + 0*g).\nAnswer: 14021*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*l = -28, 0 = 2*w - 4*l - 0*l - 14. Suppose w*h - 4*h = 171. Let n = h + -45. Calculate the remainder when 47 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -16. What is the second derivative of r*x + 28*x + 258*x**3 - 57*x**3 - 4*x**5 + 2*x**5 wrt x?\nAnswer: -40*x**3 + 1206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*h**2 + 226*h - 226*h)*(h**2 - 2*h**2 - 3*h**2 + (-2*h + 4*h + 6*h)*(h + 0*h - 3*h)).\nAnswer: 840*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 86\/13, 2\/9 in descending order.\nAnswer: 86\/13, 1\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 254*p**2 + 436*p - 17129. Determine j(-252).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 31\/2. Factor -c*m**3 + 0 + 1\/2*m**2 - 1\/2*m**4 + 1\/2*m.\nAnswer: -m*(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h)*(2*h**2 + 7*h**2 + 0*h**2) + 12*h**3 - 16 + 16.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**3 + 3*h**2 - 4*h - 15. Let l be g(-2). Let s(v) = -6*v + 459. Let k be s(26). What is the greatest common factor of l and k?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6568 = -3*x - 1825. What are the prime factors of x?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (1 - (1 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 3\/5, 2, -6, -3, 43, 3\/7.\nAnswer: -80, -6, -3, 3\/7, 3\/5, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -0.2, -3, -2, -1685 in descending order.\nAnswer: 37, -0.2, -2, -3, -1685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 5 - 7005\/(-81) - 3 - -1. Is 90 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let f = 35 + -38. Which is the nearest to -0.1? (a) f (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 - 2 - 4*r**3 + 10*r**2 as d*r**3 + l*r + f*r**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = -2*s, x - 2*x + 8 = 3*s. Solve -2*c + 12 = 4*f, -2*f + 0*c = 2*c - s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 37\/4*n**2 + 1\/4*n**5 - 73\/4*n**3 + 0*n + 0 + 35\/4*n**4 = 0. What is n?\nAnswer: -37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 16*o - 12. What are the prime factors of x(-26)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.029*-0.11\nAnswer: 0.00319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 5. Let m(i) = -71 + 27 - 4*i + 20 + 27. Let z(a) = -2*m(a) - 3*p(a). Determine z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34970*s*x**4 - 526*s*x**2 - s - 4*x**6 - 5*x**3 - 14*x**2 + 2*x + 5 wrt x.\nAnswer: -839280*s*x - 480*x**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4505 - 4233. What is the least common multiple of w and 680?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34491*s*w + 76*s + 72453953*w wrt s.\nAnswer: -34491*w + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 322352?\nAnswer: -128940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:28 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 470 + -687. Let p = -139 - d. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.3 - -18.3. Suppose 0 = 4*i - 5*i + 1. Which is the closest to i? (a) k (b) -2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13349.685782 + -1.659.\nAnswer: 13348.026782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24157281 divided by -2?\nAnswer: 24157281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386*d**3 - 7*d - 11?\nAnswer: 2316*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -118000 (base 9) in base 10?\nAnswer: -71442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -28*i - 653. Determine o(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105717 to the power of 1\/2, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064738 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 10080*x**2 + 4031232*x + 3153442816.\nAnswer: 4*(x - 1448)**2*(x + 376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -3.1.\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.34879.\nAnswer: 0.104637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 913\/5. Which is the second smallest value? (a) -2\/9 (b) o (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Let w = -4 + 10. Is b <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1, -4, -5, 3, -3, 4 in ascending order.\nAnswer: -5, -4, -3, -1, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 14, -274, 43?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2368260)\/(-2051784) + 7\/(-6)?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34000\/(-2)*-25 + -5 + 5. What is a rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8462 + -4529. Suppose 38*j = -o + 11875. What is the highest common factor of 38 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3119 + -3134.513. Let w = -15.4 - r. What is w rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 6*u + 3. Let c(i) be the third derivative of 0 + 5\/24*i**4 - 1\/2*i**3 + 0*i - 5*i**2 + 1\/20*i**5. Let p(j) = 6*c(j) + 5*o(j). Factor p(f).\nAnswer: 3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 7. What is h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64023755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -102*z + 59. Is o(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/7))\/f)**(-30))**17\/(f**0*f*f\/(f**(3\/5)\/f*f)*f)**11 assuming f is positive.\nAnswer: f**(-6024\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - g + 3, 44*g - 28 = 40*g. Let d = 0 + -0.1. Which is the third biggest value? (a) j (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 6. Let j be z(3). Let s(t) = -t**3 - 4*t**2 - 3*t. Let h be s(j). Let m be h + 2*(-5)\/2. Sort 0, -2, m in descending order.\nAnswer: 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - 0.9. Let l = -4 - u. Let d = -4.4 - 0.6. What is the second smallest value in -2\/15, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.161 and 6622.\nAnswer: -1066.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065903381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33536455 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let u = a + -2. Sort 5, 1, u in descending order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a + 25979718. Let c = -2559906 - a. What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/269 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(162) + ((-1*sqrt(162) + sqrt(162) - sqrt(162))*-4 - sqrt(162)))\/sqrt(9) - (sqrt(180)\/(sqrt(90)*1) + 2))**2.\nAnswer: -22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46102189 to the nearest integer?\nAnswer: 6790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-84)\/16*1*-4. Suppose 5*d = 12 + u. Let h(n) = n**2 - 8*n + 8. Determine h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfl when three letters picked without replacement from fmlllcs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 3 + 5 - 2*m - m**2)*(3*m**2 + 4*m**2 - m**2).\nAnswer: -6*m**4 - 12*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 9*z + 1. Let n(f) = -f**3. Calculate -c(v) - 3*n(v).\nAnswer: 3*v**3 - v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1323555?\nAnswer: 5294220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 41. Suppose 5*h + 67 = j, -8 - 20 = 2*h - j. What is the units digit of i(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149 and 143027.\nAnswer: 21311023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35225182 and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-649)\/(-77) + 4\/7. Calculate the lowest common multiple of 12 and ((-1)\/(y\/6))\/((-2)\/24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489269 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 - 951*c - 7. Let n(p) = 3*p**2 + 475*p + 4. Let l(u) = 4*m(u) + 7*n(u). Let d(h) = 95*h + 95*h + 89*h + 94*h - 375*h. What is d(l(x))?\nAnswer: -2*x**2 + 958*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 3, r + 195 = a - 2*r + 191 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8632 not equal to -8770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.41 - -0.01. Suppose 0 = -3*r + 17 - 2. Suppose 21 = -c + r*y - 0*y, c - 4*y + 17 = 0. What is the third biggest value in c, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141.49481 + -141.66. Round r to three decimal places.\nAnswer: -0.165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 21*l**2 - 18*l - 90. Let p be z(22). Let j = -2772 + 462922\/167. Which is the third smallest value? (a) 3 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 0*j**4 - 3*j**2 + 0*j**3 + 1\/15*j**6 + 16\/105*j**7 + 0*j**5 + 0 + 1\/24*j**8. Factor k(r).\nAnswer: 2*r**3*(r + 2)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40438 - 632 = 2523*i - 20515 - 65829 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35.936 - 18.3\nAnswer: 17.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 1268083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 >= -10.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 3 - 3 + (o**2 - o**2 - 2*o**2)*(1 + 2 - 2) - o**2 + 4*o**2 + 0*o**2)*(2 + 4 - 5).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 767 divide 334412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -26*r - 267 + 118 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n**5 + n + (-3*n + 2*n + 3*n)*(2*n**3 - 2*n**3 + 2*n**4) - n**5 - n**5 + 0*n**5 + 46*n**4 + 3*n**5 - 46*n**4 + (-2*n**4 - 4*n + 4*n)*(3 + n - 3).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119679, -119641, -119617, -119613, -119635, -119689, -119781, -119917?\nAnswer: -120103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10708 divided by -1?\nAnswer: -10708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21013437 is divided by 192783.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135525, -135512, -135495, -135474?\n\"Answer: 2*l**2 + 7*l - 135534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 2. Let d be s(-1). Which is the closest to 2\/5? (a) d (b) 2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (296\/111)\/((-4)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 2*j + 1. Let b = -1 - 0. Let r be z(b). Suppose -6 = n - r*n. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -254123847\nAnswer: 5\/254123847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/9*13515\/(-162180)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(112) + (sqrt(112) - (sqrt(112) - sqrt(112)*-1)*1 - sqrt(112))) + 1 + (sqrt(112)*-1)**2 + -4 + 5.\nAnswer: 24*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -21147 less than -21149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8845*h**2*n*w - 204*h**2*n + 2*h**2*w - h*n*w + h*w - 229*n with respect to w.\nAnswer: 8845*h**2*n + 2*h**2 - h*n + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1163\/70 - -169\/10. Which is the smallest value? (a) 24 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 225?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -3)\/(75\/(-12) - -1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/21)\/(2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 6*h)*(-3*h - h + 6*h)*(-7 + 3*h + 7) - 4*h**3 + 3*h**3 + 0*h**3 + (h + 4*h - 4*h)*(h**2 - h**2 - h**2).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11434004 (base 6) in base 5?\nAnswer: 43044302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 78 + 83. Let q(w) = -w**2 + 36*w - 29. Is 9 a factor of q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7548 is divided by 1074?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5 + 3147*l**4 + 2*l**2 + 137266*l wrt l?\nAnswer: -40*l**3 + 37764*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19075 - -0.29075. Let d = -0.05 + -1.95. What is the nearest to i in -5\/6, d, -4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -914, -895, -874, -851?\n\"Answer: w**2 + 16*w - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 197*y**2 + 9*y - 162. What is the ten thousands digit of q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.181 + 2.161. Let g = 4 - 2. Let s = g - j. Put s, -1, 2\/3 in descending order.\nAnswer: 2\/3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*h + 1844 - 3726 + 1854)*(2 + 2 - 3) to the form z*h + l and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759898?\nAnswer: 2, 3, 383, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 - 59*z**4 + 11*z - 13*z + 58*z**4)*(0*z + 0*z - z).\nAnswer: z**5 - 8*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2624 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**5\/15 + j**4\/3 - 2*j**3\/3 + 2*j**2\/3 - j\/3 - 11. Suppose w(x) = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 106*n - 19101. Calculate q(199).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zmz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 142895280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 3*b + 110 - 59.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 70 - 7 = 0. Let i(l) = l**2 - 9*l + 16. Let y be i(o). What is the second smallest value in y, -2\/3, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3115 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let o(t) = 516*t + 5 + m - 519*t. Let r(i) = 4*i - 8. Suppose 58*g - 36 = 64*g. Determine g*r(k) - 7*o(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4107 and 63?\nAnswer: 86247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(2\/51)\/((g*g**(3\/7))\/g**(-3\/7)) assuming g is positive.\nAnswer: g**(-667\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 100*i**2 - 102*i = 0. Calculate i.\nAnswer: -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**4 + 6*s**4 - 23*s**4 - s**2 - 4*s + 13*s**3 + 18*s to o + x*s + d*s**4 + p*s**3 + c*s**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/20 + b**2. Let k(p) = p**2 + 1. Let s(o) = -2 + 4 + 2*o**2 + 2*o**2. Let i(f) = 2*k(f) - s(f). Calculate i(h(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*((-8)\/4)\/16.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033712657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 = 3*g, -g = -7 + 3. Let v = 346 + -323.2. Let y = v + -6.8. What is the third biggest value in y, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -890264, -890207, -890136, -890045, -889928, -889779, -889592?\n\"Answer: o**3 + o**2 + 47*o - 890313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2613554*-0.4.\nAnswer: -1045421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2922 - 2922. Let o(c) be the first derivative of 21\/2*c**2 + 0*c**4 + 0*c**3 + b*c + 0*c**5 - 21 - 11\/6*c**6. Find the second derivative of o(q) wrt q.\nAnswer: -220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -21*q**3\/2 - 27*q**2\/2 + 18*q + 6 = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22088 is divided by 1693.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 23408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 2. Let z be (38\/14 - x) + 24\/84. Suppose -5*r + z*r + 94 = 2*g, r = -g + 32. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*d + 308. Let x = d + -47. Which is the second biggest value? (a) x (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5 in descending order.\nAnswer: 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Let h(i) = -3*i + i**2 + 2*i + 7*i**c. Let w(q) = q + 3. Let g be w(-4). Determine h(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 h when three letters picked without replacement from xoeooxxheeeoeohxeo?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95912 and 123162997.\nAnswer: 11989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/13872 and 151\/4488.\nAnswer: 152592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -45467 <= -45467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204938.\nAnswer: 2, 43, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*a - 21*a - a**3 - 72*a - a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955a (base 14) in base 2?\nAnswer: 1111101010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 701675 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162) + 1 + (sqrt(162) - (sqrt(162) - sqrt(162)*-1))*-4 - (0 + 2*sqrt(162) - (sqrt(162) - (sqrt(162) + 1)*-6 - sqrt(162))))**2*-6 + 2.\nAnswer: -97492 - 7560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.82 - -0.18. Let q = 15 + -11. Let u be (0 - 1)*q\/(-38). Sort c, -2\/5, u in decreasing order.\nAnswer: c, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 43. Suppose u - 140 = -x*u - p, 2*u + p - 95 = 0. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 19*r**2 + 37*r - 2. Let x be p(17). What is the highest common factor of 35 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14 - 4*f - 12*f - f + 3*f**2 + f. Let u be t(10). Let h = -100 + u. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 6 = -s, -72*i + 45*s = -73*i - 451 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349505 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -6*-2*sqrt(500) + 3*(1 + sqrt(500) + sqrt(500)) - (2 + (-2*sqrt(500) + -2)*2)) + 1)**2.\nAnswer: 1760*sqrt(5) + 242016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -238\/1023473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p - 4*d + 16, -10 = -2*d. Is 29 a factor of p\/(447\/(-222) - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16742647 - 5793403 = 76*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 5, 4, 0, -6 in decreasing order.\nAnswer: 54, 5, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -7. Suppose 198 = 5*s - 4*b, 2*s + 201 = r*s - 3*b. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5 + 2 + 4 - 5 + (4 - 4 + 2)*(5 - 3 - 1))*(586*k - 816 + 573*k - 1736*k + 586*k).\nAnswer: 54*k - 4896","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1512*k - 83 = 1429*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 1 - (1 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133300 - 0?\nAnswer: 133300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77459 * 120.\nAnswer: 9295080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s - 22. Let b(n) = -16*n - 23. Let t(i) = 4*b(i) - 5*l(i). What is the first derivative of t(m) wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 7. Let a be o(5). Suppose 10*d = 42 - a. Solve d*m + 4*n + 28 = 0, -5*n - 6 - 10 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.031.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318199 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.54164 centuries to decades.\nAnswer: 15.4164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1)*-3)**2 - (sqrt(468) + ((1 + sqrt(468) - sqrt(468)) + sqrt(468))**2 + sqrt(468)).\nAnswer: -343 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6007.7*11.\nAnswer: -66084.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -64264, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271184 is divided by 366.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28189\/3 + 9397. Suppose 0 = 3*x - 22 - 2. Suppose -2*b + 2 = x. What is the second biggest value in b, q, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4 = 2*t - c, 4*t + 12 = 5*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4235*l**3 - 1512*l**2 - 6*l - 2. Let x(m) = 4237*m**3 - 1522*m**2 - 5*m - 1. Let r(i) = -3*d(i) + 4*x(i). What is the third derivative of r(o) wrt o?\nAnswer: 25458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a tonne in kilograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*z + 17*z - 31*z)*(2*z + 0 + 0).\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = 10*a + 32*a + 160 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38913\/5 + -7752. Suppose 4*c - 130 = 2*h, 3*c - 57 = -h + 33. Which is greater: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 + -31?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t = -i + 70*t - 6, -3*i - 66 = -t. Let n(x) = 2*x + 50. Calculate n(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 32*u + 21. Let z be ((-2)\/(-4))\/((-4)\/(-136)). Is k(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71149, 71149, 71147, 71143, 71137, 71129?\n\"Answer: -g**2 + 3*g + 71147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*t**3 - 5*t**2 + 16*t**2 + t + 1540*t**3.\nAnswer: 1173*t**3 + 11*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/15 - 0)*(-1040)\/156?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 + 2*d**6 + 4*d**2 + d**6 - 4*d**6 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*q + 75*q - 711*q - 446*q - 214*q in the form r + k*q and give k.\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1295 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-7)\/42)\/(-6*(-6)\/216).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/165 - 694\/(-30). What is the third derivative of -i*b**6 + 11*b**6 - 3*b**2 - b**2 wrt b?\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -71, -2, -220, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -7*s + 20. Let j(h) = h**3 + 8*h**2 - 19*h + 24. Calculate the remainder when 81 is divided by j(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 5*k**2 + 2*k**2)*(-k + 2*k - 3*k) + 0*k + 3*k**3 + 0*k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 146*s + 5492. Determine b(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2186 - -2234. Calculate the greatest common factor of 42 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 176*p**2 - 10355*p - 1278345. Determine a(-161).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69174 and 871038?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3 - 12. Let t(w) = -3*w**2 + 0*w - 2*w + 3*w + 2*w**2. Give -d(s) - 2*t(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37044.514 - -37079. Let p = -0.486 + f. Which is the biggest value? (a) p (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 41 - 19 = 0. Let u be 81*1*v\/18. Let a = u + 50. Which is greater: a or -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5709878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746\/(-2716) + ((-2)\/4)\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -532*t + 56. Suppose -17335*v + 17324*v = -33. Let g(d) = -28*d + 3. What is v*q(j) - 56*g(j)?\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -420, 259, 5 in descending order.\nAnswer: 259, 5, -1, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m**(2\/45)*m)\/m)*m)\/m**(-1\/5) assuming m is positive.\nAnswer: m**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -8.91. Let u = -0.39 + g. Which is the nearest to -0.1? (a) u (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 827153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654768722.\nAnswer: 2, 277, 1181893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2045 + -109504007\nAnswer: -109506052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-21) + (-2134)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 - z**4\/8 + z**3\/3 - 7*z**2. Suppose 3*q = -5*t - 20, -t = -4*q - 14 + 18. Calculate m(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-615)\/(-3075))\/(28\/(-10))*21\/30.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) 8.5 (b) -9 (c) -4 (d) -13\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooooooootooooooooo.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*p + 58*p + 306*p)*(-3 - 4 + 4 + (-3 + 3 - 1)*(-1 + 5 - 3)) as v + u*p and give u.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x - 1. Let n(f) = -2*f**2 + 3*f - 3. Let a(o) = n(o) - 3*y(o). Let q(s) = 32*s - 1. What is q(a(g))?\nAnswer: 32*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 0 - (-8)\/4. Let o(x) = x**3 - x**2 + 4*x + 60. Let a be o(0). Let h = a - 57. Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16\/3 + -1\/12. What is the common denominator of 7\/10 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 9, 21, 39, 63, 93?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6487487 (base 10) to base 7\nAnswer: -106066646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -9. Solve s - 1 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -2*w**3 - 3*w**2\/2 + 3*w + 1. Let x(s) = -12*s**2 - 7*s + 7. Suppose 760*v - 777*v = 119. Give v*k(o) + 3*x(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - -26. Suppose 0 = -4*v - 3*c + i, -5*v + c = 18 - 157. What is the remainder when v is divided by (-1)\/(-4) - 134\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-20*i + 20*i + 2838*i**4 + i**2).\nAnswer: -2838*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/35 - 2*u**4\/3 + 16*u**3\/21 + 640*u**2\/7 - 3*u + 192. Factor o(k).\nAnswer: 4*(k - 10)*(k - 8)*(k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139425803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 919908 and 11.\nAnswer: 919908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -9, -0.4, -4, -0.37, 3\/2 in ascending order.\nAnswer: -9, -4, -0.4, -0.37, 3\/2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158792299 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/2862 and 121\/2544.\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 32*k + 35*k - 55*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.8 - -62.55. Sort v, 3, 5, -3 in decreasing order.\nAnswer: 5, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 358*v + 8551 + 9764 = -42*v for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 402? (a) -0.1595 (b) -2\/7 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.4 + 29. Let x = 0.5 + h. What is the closest to -7 in -0.1, 2, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56076360, -112152715, -168229070, -224305425, -280381780, -336458135?\n\"Answer: -56076355*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(4\/5)))**(-38\/5))**4\/((r*r**(2\/15)*r*r*r**(-2\/17))\/(r*(r\/r**(-3\/2))\/r*r*r\/(r*r\/(r*(r**(-8\/3)\/r)\/r)*r*r))) assuming r is positive.\nAnswer: r**(15417\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*4\/(-8)*-5. Which is the nearest to -1? (a) l (b) -1\/9 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1))\/(9\/3*-2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2\/20)\/((-1596)\/38*(-1)\/5).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -410413 (base 5) to base 16\nAnswer: -33b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2588 divided by -64767\nAnswer: 2588\/64767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2386 = -5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -294. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 543*j - 2958. Determine q(141).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -355.639944918 + 355.64. What is a rounded to 7 dps?\nAnswer: 0.0000551","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 3.03. Let u = x + 3.2. Let l be (-16)\/60 + 2\/(-5). Which is the nearest to 1\/2? (a) l (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 + 4*w**2 + 2. Let s(a) = -21*a**3 - 17*a**2 - 9. Calculate 9*n(u) + 2*s(u).\nAnswer: 3*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498605?\nAnswer: 5, 99721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (19 - ((12 - 12) + 4)) - -14 - -102.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Suppose c*b + 64 = 4*z - 0*z, z - 7 = -b. Suppose 14 = 5*x - z. Solve -5*g - 5*q = -25, 0 = g - 4*q - 0*q - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7032 - 2452. What are the prime factors of k?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 29. Let r = -612.52 + 563.1. Let p = r + j. Round p to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-6 + 4 - -7) + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.3 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = n + 2*g, 0 = 4*n - 16*g + 18*g + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 47.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnknnnkcttkkktnttn. What is prob of picking 2 t?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 6*b**3\/7 - 86*b**2\/7 = 0.\nAnswer: 0, 43\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3224 divided by -806.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15 + 19 + 7*s + 0*s - 27. Let x be g(-5). Find the common denominator of -53\/7 and (37\/4)\/(49\/x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2191355395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + -93 + 106 - -64 - -8.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**19\/h))\/(h*h**(-1\/19)\/h*h))**40)**(2\/37) assuming h is positive.\nAnswer: h**(-27280\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-9)*15\/(-25)*25\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b\/(b**(2\/5)\/b)*b)*(b\/b**(2\/7))\/(b**(-2\/13)\/b))**26 assuming b is positive.\nAnswer: b**(2064\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1631595657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let v(o) = 7. Let u(k) = v(k) - 6*y(k). Let c(f) = -f - 6. Let h(p) = c(p) + 5*u(p). What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -13. Put g, 2\/3, -2, -4 in ascending order.\nAnswer: -4, -2, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978989.\nAnswer: 3, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 234*q**2 - 4668*q - 869. Determine m(-212).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -66806572 and -66806573 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2723603 - 1?\nAnswer: 2723602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:02 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2000009, -4000023, -6000035, -8000045?\n\"Answer: a**2 - 2000017*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 x, and 1 z when four letters picked without replacement from qxxzqxzsxss.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -13\/74 (c) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/222 - -2\/37. Which is the fourth smallest value? (a) 0 (b) -1\/14 (c) -0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -68, -1 in decreasing order.\nAnswer: 5, -1, -31, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 8. Let y be s(10). What is the highest common factor of y and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 44*z - 26. Let l(u) = -130*u + 78. Let h(v) = -14*i(v) - 5*l(v). What is the derivative of h(o) wrt o?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 - 646*j**4 + 648*j**3 + 646*j**2 - 647*j = 0.\nAnswer: -647, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721976 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610931 is divided by 1728?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.1. Let u = -9989.9 - -9278. Let y = u + 712. Which is the nearest to 2? (a) y (b) r (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4541*j + 5. Let u(z) = z**2 + 9*z + 3. Let q = -33 + 25. Let p be u(q). Let h be l(p). Round h to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*8844\nAnswer: -2653.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -41.3. What is the third biggest value in -1, 0.4, i, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 781?\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r + 13*r**2 + 6*r - 2*r**2 wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 32 = 2*s, -5*s - 11 = 2*i - 8. Suppose -4*r + 0*j = -4*j - 80, -4*j = -5*r + 102. Calculate the greatest common factor of r and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/3)\/p)\/p)**35\/(p*p**(2\/5))**(-3\/20))**(-9) assuming p is positive.\nAnswer: p**(41811\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**6\/27 + h**5\/15 - h**4\/18 + 43. Factor b(y).\nAnswer: y**3*(y + 2)*(2*y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 16*u**2 + 14*u - 19. Let s be q(16). Suppose 2*r - 7*r + s = 0. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109190?\nAnswer: 2, 5, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = j - l, l = j. Differentiate j + 485*o**4 + 13 - 434*o**4 with respect to o.\nAnswer: 204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 61. Let z = 4 - 0. Suppose 4*n - 129 = z*d + 79, -2*n + 4*d = -110. Calculate the greatest common divisor of n and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 5*h**2\/3 - 259*h + 783.\nAnswer: (h - 29)*(h - 3)*(h + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22.2? (a) -5 (b) 0.1 (c) -4.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 590958989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**2 - 3*k + 3. Let o(f) = 2*f**2 - 3*f**2 - 15*f + 16*f - 1. Give -h(g) - 3*o(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 = v, -v + 4*b - b + 11 = 0. Is 29 a factor of 870\/4*(140\/50 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 27, 30, 35?\n\"Answer: z**2 - 2*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42343513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 2\/13, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2*4)*3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 535040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*-0.03.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -20. Solve 0 = -k*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r - 20. Suppose r*n + 1 + 4 = 0. Let g(j) = -4*j**2 + 1. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7232 = -3*y, -2*y = -11*u + 14*u - 10861. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(5\/225) + -3. Is 97\/6 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95330 divided by 410?\nAnswer: 9533\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8216855 and 465105?\nAnswer: 24650565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -240000, -240290, -240586, -240882, -241172, -241450, -241710?\n\"Answer: h**3 - 9*h**2 - 270*h - 239722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 2*q - 2. Let c be l(-3). Calculate the least common multiple of -6*c\/((-1)\/2) and 291\/18 + (-8)\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, i: 4}. What is prob of sequence iiii?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 643977 and 28382.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 + 193.9. Let y = w + 10.1. What is the closest to 2\/7 in y, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 1.49. Let j = w + 38.01. Let t = 32 - j. What is the nearest to t in -0.1, 5, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*r + 2 + 3)*(-1 + 4 - 2 + (3 - 4 + 2)*(-3 + 2 - 1)).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-19\/6)*((b\/(b\/(b**(2\/9)\/b)))\/b)**(-2\/79) assuming b is positive.\nAnswer: b**(-13445\/1422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Suppose -s - 4*l - 19 + 85 = i, -2*l + 258 = 5*s. Suppose p + 4*f + 14 + 0 = 0, 0 = 5*p - 4*f - s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498119 is divided by 249685.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*v - 18 = -4, 0 = v - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7289943 and 20823.\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -86, -289, -686, -1343, -2326, -3701?\n\"Answer: -11*b**3 + 2*b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/44)\/(((-2)\/10)\/((-15)\/50)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202*r - 3*r + 1070 - 29*r - 142*r - 81*r wrt r?\nAnswer: -457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**3 - 3*h**2 - 6*h. Let c(i) = -6*i**3 + 2*i**2 + 3*i. Calculate 7*c(d) + 4*w(d).\nAnswer: 2*d**3 + 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2878 - 2866. What is the least common multiple of v and 176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 3*l**8\/280 + l**7\/175 - 11*l**6\/300 - l**5\/50 + l**4\/30 - 4*l**2. Suppose j(a) = 0. What is a?\nAnswer: -1, -2\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (400\/350)\/((-3)\/(-294)*-4)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 43. Let z(s) = -s**2 - 5*s - 1. Let p(l) = -l**2 - 3*l - 1. What is k*p(u) + 3*z(u)?\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.773 - 1.247. Let q = 59 + d. Let z = q - 1.84. Round z to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 296*(-6)\/(-8)*(0 - 7\/(-2)) and 27.\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 3*u + 1. Let s be f(5). Suppose 7 = 4*y + v, y + 2*y + 4*v + s = 0. Solve -3*t - 2*b - 3 = 0, -2*b + 3 = -0*t - y*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d**2 + 3832*d. Let b(a) = 2*a. Calculate g(b(l)).\nAnswer: -60*l**2 + 7664*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 + 53 = -26*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyuuvvbvyyuy. What is prob of picking 3 v?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14 = -5*h + v + 1, -9*v + 0 - 27 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/9 + 2 - 5\/(-3). Suppose 3*m - a = -13. List the prime factors of 232 + -3 + 0 + (-4)\/m.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15\/13, -15, 0.2, 0.05.\nAnswer: -15, 0.05, 0.2, 1, 15\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and 9\/793.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-30)*(-6)\/(-4)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 658810387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -23, 9, 16 in decreasing order.\nAnswer: 16, 9, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0 (b) 0.5 (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 2046, -556, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 0.04, -3, 0, -237, 2\/25 in descending order.\nAnswer: 5\/3, 2\/25, 0.04, 0, -3, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**4 - p**3 - 1. Let r(s) = -7*s**5 - 5*s**4 - 10*s**3 - 6. Let m(j) = -30*d(j) + 5*r(j). What is i in m(i) = 0?\nAnswer: -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 9*l**2 - 2*l + 18. Give m(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 4. Let k = 0.2 - 0. Let q = k + -0.1. Which is the third smallest value? (a) 0 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 - -7 - 3\/((-9)\/12). Suppose x = 2*m, 2*t - 2225 = -9*m + 14*m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-4) + 3)*2. Let r = 1 + h. Calculate the lowest common multiple of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = a. Which is smaller: 0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 405 + -362. Let u = 43 - b. Determine c so that -3\/4*c**2 - 1\/2*c - 1\/4*c**3 + u = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158969 - -158970.000003. Let g = 23 + -22. Let v = s - g. Round v to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92018543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 2. Let a be m(-2). Let y be 16203\/(-9) + 2\/a. What is y rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/u**(-2\/3)))**(-7\/5)\/((u*u\/(u\/(u**(-2\/7)*u)))\/u*u*u\/(u**3\/u))*(u*u**(-6)*u*u**1)\/(u**(2\/5)*u*u**(-5\/4)) assuming u is positive.\nAnswer: u**(-2407\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*c + 7. Let g = -32 - -51. Suppose -g - 17 = -c*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262 - 808663*t + 808664*t - 191 + t - 5*t + 3*t + 5*t - t - 5*t + (5*t - 2*t - 2*t)*(-1 + 3 - 4) to the form y*t + u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 105\/50*(1430\/(-78))\/55\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 12. Suppose x*q = 4*q. What are the prime factors of 1*(-3 + q)*-5?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 0*j**3 + 6*j**3 + 3*j**3 - 13*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1180, 1884, 2588, 3292, 3996?\n\"Answer: 704*g + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5404\/29843 - 2\/2713. Let q = -1.1 - -3.1. Let d = 6 - q. Put 2, p, d in increasing order.\nAnswer: p, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9*v = 0. Suppose -d - 3*p + 2 = -0*p, p + 4 = v. Suppose -3*w + 224 = -w. What is the highest common factor of d and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 16*j + 55. What is z(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:14 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -35. Suppose -3*t + h - 7499996 = -i*t, -4*t + 4*h - 9999984 = 0. What is t rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18 and 69\/62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/15 (b) 6.4 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*0\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8494, -67900, -229152, -543172, -1060882, -1833204, -2911060?\nAnswer: -4345372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717569 is divided by 358711.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0\/(-1))\/3)\/2. Suppose g = -0*c + 4*c - 132. List the prime factors of c*(-2)\/(-1 + -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71435190*w**5 + 192*w + 69487 wrt w.\nAnswer: -1428703800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 344.428um?\nAnswer: 0.344428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+111391128\nAnswer: 111391127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2 = -2*f. What is the closest to -2\/7 in -0.4, -5, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20894203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*a + 17, -3*z = a + 4*a + 27. What is the remainder when (5*18\/75)\/(z\/(-250)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/5369 + 230889\/59059. Calculate the common denominator of p and 41\/424.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*f**2 - 2*f**2 + 19*f**2 to the form d*f**2 + x + h*f and give d.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*f + 32 = 0, 0 = -25*w + 220*f - 225*f + 180 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1252*k - 196538. Calculate z(-157).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 36. Is (7028\/(-6))\/(4\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z\/(z*z**1)*z)))\/z)\/z)\/(z\/(z*z**(-3))))\/((z*z\/((z*z**(-6\/7)\/z*z)\/z))\/(z*z\/(z\/(z**(5\/4)*z*z)))) assuming z is positive.\nAnswer: z**(-101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-11 + 20) - (2 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18732*362.7\nAnswer: 6794096.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 34*t**2 - 73*t + 981. Let c be i(29). Which is greater: c or 9209\/3?\nAnswer: 9209\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 81, 172, 295, 450, 637?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20207742 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmpy when four letters picked without replacement from yyppm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 7*p - 7. Give h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28565667 + 0?\nAnswer: 28565667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*j - 3548 + 4783 - 39*j)*(4*j - 2*j - 3*j + 2) in the form d*j + u + o*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose 3*i - 11 = q, w - 13 = q - 2*i. Calculate the remainder when 10 is divided by 3\/9 + q\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -204120440?\nAnswer: 204120434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 13*u**2 + 4*u - 48. Let r be f(13). Let g = 0.82 - 96.82. Let m = -96.2 - g. Which is the closest to m? (a) r (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/293862489 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48152, 48158, 48168, 48182, 48200?\n\"Answer: 2*p**2 + 48150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckkcykk. What is prob of picking 1 c, 1 y, and 2 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 25*k**3 - 2*k**2 - 5*k + 16. Let w(r) = -9*r**3 + r**2 + 2*r - 6. Let d(q) = -4*s(q) - 11*w(q). Determine d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 30*t - 18 + 21*t + 41 - 53*t.\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(6\/(-8)). Suppose -x - 3*a = -18, -3*x + 26 = d*a - 7. What is the smallest common multiple of x and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.84 in -0.6, 0.1, 2405?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1637 or 1643?\nAnswer: 1643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o + 1. Let w(x) = x**2 + 10*x - 2. Let g(z) = -2*c(z) - w(z). Let r be g(13). What are the prime factors of (r\/2 - 4)*4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.5 and 1698808919?\nAnswer: 1698808916.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.4. Let b(r) = -r**3 - r**2 + 1. Let j be b(1). What is the closest to j in -4, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (115\/(-360) + (-12)\/(-32))\/((-11)\/(-66))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.79481 millilitres in litres?\nAnswer: 0.08979481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -400586.51\nAnswer: 400577.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 3348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 41. Is (m - (-1 + 14)) + 117*6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1)*-6*36\/(-216))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74354189?\nAnswer: 7, 13, 173, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 2. Let m be i(-2). Suppose -5*r - 23 + 323 = m. Let c be (-49)\/(-14)*2\/(-14)*-24. What is the greatest common factor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4289\/12 + 1007\/3. Suppose -3*k - 30 = 2*k. Calculate the common denominator of j and 3\/4 - 6\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2 + 58. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12912855 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 22*q**2 - 6. Let j be a(22). Let k(t) = -2*t**2 - 6*t - 1. Let f(c) = -c. Determine j*f(l) + k(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47926730?\nAnswer: 2, 5, 97, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -14810937\/5 and -2962188 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-3)\/(6\/4). Let b(n) be the first derivative of 24\/35*n**q - 13\/14*n**4 + 1 + 0*n + 4\/7*n**3 - 1\/7*n**2 - 4\/21*n**6. Find w such that b(w) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 590904 and 12?\nAnswer: 590904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((35\/75)\/(-7)*3)\/((-3752)\/(-1340))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccfcbbsbbcbbbbfccf. What is prob of picking 1 s and 2 b?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s + 3*s + 3*s. Let n be z(1). Suppose -5*c + 23 + 7 = n. What is the greatest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/12)\/(1\/(-9)). Suppose 2*o + 3*i - 51 = 0, 0 = 4*o - d*i + 3*i - 129. Let a(y) = 30 - 4*y - o. Let z(q) = 2*q**2. Determine a(z(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8161 is divided by 930?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018 != 2903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + 52*z**2 + 0*z**2.\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85056*h**4 + 14*h**3 + 70*h**2 + 121499920*h + 2?\nAnswer: 1020672*h**2 + 84*h + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1785 + -1766. Let t be 76 + (0 - 0\/2). Calculate the highest common divisor of t and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -28 + 0 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.5 - -36.6. Let i = q - -21.9. What is the closest to 0.001 in i, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2415*d + 288 = -2383*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7266526 to the nearest integer?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + (sqrt(3) - sqrt(12)))*1.\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 22*w**2 + 2*w - 837. Let h be i(20). Solve -3*k - 5*p - 5 = 17, 0 = -h*k + 3*p - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31494 is divided by 508?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61902299 to the power of 1\/2, to the nearest integer?\nAnswer: 7868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1173 - 1848. Let x = t - -1027. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5)*z)\/(z\/(z**(3\/2)*z)))\/(z**(1\/9)*z**(-19)) assuming z is positive.\nAnswer: z**(313\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, b: 5}. What is prob of sequence bbw?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -516 divided by 6\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1684, -3245, -4806?\n\"Answer: -1561*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -40. Let w be 4\/(-6)*1\/78. Let z = w + -808\/1287. Find the common denominator of t and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 128 and 124 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/20 + 9*b**4\/8 + 5*b**3 + 65*b**2\/2 - 200. Let u(c) be the second derivative of q(c). Factor u(g).\nAnswer: -3*(g - 10)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(1\/4)))\/l)\/l**(-1\/3))\/(((l*l*l\/(l**(-3)\/l)*l*l)\/l)\/(l**5\/l)) assuming l is positive.\nAnswer: l**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 84916 divided by 6532\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Let y be 1*(4 + -2) + -2. Suppose -2*f + b*f = y. Solve 2*m = -4*o + 3*o, -o + m = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6673 is divided by 69?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/171? (a) -2 (b) 2\/11 (c) 1 (d) 4\/21 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Let i(c) = -350137*c. Calculate j(i(s)).\nAnswer: -245191837538*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67215 > 67203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 611 - -1?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 96*p = 1122. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 24243 + 24243.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 757062128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 + 2*o + 7. Let h be d(-2). Which is smaller: -89\/4 or h?\nAnswer: -89\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - 16\/(-21). Let t = 1 + -1.6. Let w = 4.4 - t. What is the smallest value in -2\/13, j, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 0.3 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342056968*v**2 - 15*v - 235294 wrt v.\nAnswer: -684113936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.152, 3, -2.\nAnswer: -2, 1.152, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71897*k**2 - 2 + 71910*k**2 + 1 + 1.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.54118 months to millennia.\nAnswer: 0.007711765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1)\/p*p**2*p**(-6)\/((p*p\/(p\/p**(1\/4)))\/p*p) assuming p is positive.\nAnswer: p**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Let u = -66 + 126. Suppose 0 = -3*b - 2*m + u, 87 - 3 = k*b - 2*m. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/15 - (-18310)\/15. Let j = 178 + l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38554.4 and -3.\nAnswer: 38551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1942858*g - 6. Let m(q) = 4*q**2 - 2*q**3 + 3*q**3 + 5*q**2 + 9 + 10*q. Let p be m(-8). Let w be n(p). Round w to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 - 3*s**2 - 4*s**2 + (4 - 5 + 2)*(-1 + 1 + 4*s**2) - 3*s - 2*s**2 + 4*s - s**2 to i*s + p*s**2 + k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204\/20 - 8\/40 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + -3 + (4 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-3)\/(-10)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9272.991 milligrams?\nAnswer: 9272991000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60496715.\nAnswer: 5, 1429, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 - 507. Let p = m + 228.3. What is the closest to 2\/3 in p, 13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-5))\/(-2 - -3))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:06 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541297842 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3979*w - 10954*w + 513 + 514 - 1027.\nAnswer: -14933*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 1\/4, 1\/20, 0.2, 4, -4780?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y + 4*b, -29 + 4 = 5*b. What is the second derivative of 14*m + y*m - 40*m**2 + 26*m**2 wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - 3*p**4 + 3*p**4)*(9*p + 11123 - 11123).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -340*331.68\nAnswer: -112771.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 703, 672, 613, 520, 387, 208, -23, -312?\n\"Answer: -l**3 - 8*l**2 + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i - 11. Suppose 2*v = 4*u + 22, v - 8 - 3 = -5*u. Let d be n(v). Let t = -40 - d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4\/5 - 760824*h**3\/5 - 48236241576*h**2\/5 + 192954096288*h\/5 - 192957139632\/5 = 0. What is h?\nAnswer: -126806, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 808*f**6\/3 - f**5\/5 + 2*f**3\/3 - f**2 - 4495*f + 1146. What is the second derivative of b(g) wrt g?\nAnswer: 32320*g**3 - 12*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-2)\/15)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*p + 127*p - 40. Let z(r) = 2*r**2 + 5*r - 6. Give z(p).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -8. Let s = -13772 - -137831\/10. Find the common denominator of s and (18\/15)\/(t\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-72) - 7\/2) + 112. Suppose -i = -2*u - v - 545, -2*u - 2*v - 438 = 0. Which is greater: u or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 2*p)*(0 - p + 0) + 3*p - 2*p**2 - 3*p + 383*p**2 + 409*p**2 + 102*p**2 - 6*p**2 + 178*p**2.\nAnswer: 1063*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 6*k. Let a be p(-7). Let m = -1 - a. Solve -2*f = -5*f + m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-819)\/(-6)*(-4)\/(-6)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3, -111 = -n - 0*n + 5*x. Let u = n - 81. Suppose 0 = -r - s + u + 57, 0 = -3*r + s + 310. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:35 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 3*n. Let w(l) = -l**2 - 5*l - 2. Let v be w(-4). Suppose -2*r + 10 = -4*r - n*q, -v*r - 5*q + 5 = 0. Is r > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 792*n\/5 + 1596\/5.\nAnswer: -3*(n - 2)*(n + 266)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -73*f + 17. Let i be c(-5). Suppose 58 + i = 4*b. Suppose 0*l + b = l + 4*p, p = -2. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-24)*3\/3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11574388.\nAnswer: 2, 7, 59053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2425464497 divided by -3.\nAnswer: 2425464497\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 3*t**4 - 6*t**4 + (-5*t + 2*t + t)*(66*t**2 - 66*t**2 + t**3).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8a58b (base 16) to base 12\nAnswer: 233b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 + 52. Suppose -7*b + j = b. Suppose 3 = 4*s - 21. What is the greatest common divisor of s and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -80, -254, -528, -908?\n\"Answer: -y**3 - 41*y**2 + 50*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 101*c + 3987. Give m(-35).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-143.244\nAnswer: -142.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-9) - 6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 - 10*y**4 - 175*y**3 + 80*y**2 + 1700*y + 2000 = 0. What is y?\nAnswer: -4, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*s + 41. Let b(v) be the first derivative of v**4\/4 + 4*v**3\/3 + 5*v**2\/2 + 3*v - 47. Calculate b(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 340414*w - 5106224. Give o(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2058518 less than -2058641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 6. Suppose 4*f + 3*b - 13 - 4 = 0, f - b = -1. Let c(u) = u**2 - 8*u + 9. Let h be c(7). Solve h*i - f = p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/54*(-24)\/(-16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 1)*((-16)\/(-4) + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -2\/55*n**5 + 0*n**4 + 0*n + 2\/33*n**3 + 0*n**2 - 9. Suppose a(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22920, -22776, -22630, -22482, -22332, -22180, -22026?\nAnswer: -21870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = 3*b, 8 = -0*t + 4*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -1, 306, 1037, 2366, 4467, 7514?\nAnswer: 11681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.199 + 0.301. Which is the third biggest value? (a) 1 (b) -3\/5 (c) -19 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -934, -1398?\nAnswer: -1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - 3798\/63 - (-8)\/28. Suppose 51 - 239 = 4*v. Is c smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 30, 37, -8.\nAnswer: -8, 6, 30, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -96, 8 in increasing order.\nAnswer: -96, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 210*u - 264*u - 1 + 53*u.\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31242 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/112*(-30)\/(-35))\/((-2790)\/61845)?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 6*f - 4. Let u be a(-4). Find the common denominator of ((-1)\/(-3))\/(u\/106) and 63\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212760 is divided by 1114.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 106*a = -109*a, -3*a + 33 = -14*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1176))\/(sqrt(432)*-4 - sqrt(432)).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80, -279, -1240, -3103, -6168, -10735?\n\"Answer: -50*q**3 - q**2 - 6*q + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -251, 9.37, 1\/2, 0.1, -1 in descending order.\nAnswer: 9.37, 1\/2, 0.1, -1, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2. Let i be (-11)\/((-44)\/24) + -3. Let g(z) = -3 - 2*z + i + 0. Calculate u(g(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001011001100101010100111 - 1?\nAnswer: -101001011001100101010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32837.\nAnswer: 7, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79239 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5991 divided by -4.\nAnswer: -5991\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 5 = 5*n + 2*c, -4*n = -3*c - 6. Suppose 5*d + 3*m + 7 = 0, -n*d + 0 - 9 = -3*m. Let g be d + 5 - 4*(-1)\/2. Is g greater than or equal to 48\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-184\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(10 + -1) - (-12 + 1). Sort -3, -5, f in descending order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 3*i**2 - 5*i - 5. Let r be (-176)\/(-198) - (-629)\/153. Let v(x) = x**3 + 3*x**2 - 4*x - 4. Calculate r*v(o) - 4*n(o).\nAnswer: o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*x = -g + 21, 0 = 2*g + 5*x - 16. Let d(n) = 8*n - 3. Give d(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by 347?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Let s = 10583 + -10583. Let h = 4.9 + 0.1. Which is the third biggest value? (a) v (b) h (c) 9 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34, -2, 5, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5159 + 8116. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/60)\/((-22)\/(-10)). Which is the fourth smallest value? (a) -5 (b) 1\/2 (c) g (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68038488 and 222768?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let c be (-14)\/2 - 4\/(-2). Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 7*r - 2*r)*(-240 + 1214 + 835 + 57).\nAnswer: 3732*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354521 - 356462.31. Let q = i + 1933. What is q rounded to one dp?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/6 + 11*c**3\/3 + 5*c + 3. Determine h so that i(h) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bswn when four letters picked without replacement from swwnwnswbsswwwbsssbs?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2757, -5, 5.\nAnswer: -2757, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0 - 2*m + 0) + (2*m + m - m)*(-1 - 2 - 2).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (-59 - -21 - -22)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 6, b: 7}. Give prob of sequence tbbb.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3)\/(2\/4). Suppose 5*h + 157 + 50 = -3*r, 4*h + i*r + 166 = 0. Let p = -12 - h. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**3 - 2*b**2 - 2*b - 2. Let f(u) = -144*u**3 + 33*u**2 + 33*u + 33. Determine -4*f(j) - 66*x(j).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*i + 143*i - 5 = 0. What is the units digit of 5\/(i - 325\/66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 322 in -0.3, 4\/7, -1, 2\/11, 0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k*k\/k**6)\/(k\/(k*k*k\/k**(-2)))**(-15) assuming k is positive.\nAnswer: k**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2987 - -2988. Which is bigger: -48\/107 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 172*o\/11.\nAnswer: 2*o*(o - 86)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.2. Let w be ((-162)\/216)\/(-1 + -2). Which is the nearest to 1? (a) w (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 2*f + 5 = 0, 0 = 3*b - f - 7. Suppose h + 26 = b*j - 4, 2*h = j - 15. Suppose -j*s - 2 = -8*s. Is s != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 1, l: 3}. What is prob of sequence eebl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3324 (base 5) to base 4.\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -161\/2. Let s = 1.279 + -0.479. Suppose 6 = -5*d - 4. What is the nearest to l in s, d, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -147, -223, -299, -375?\n\"Answer: -76*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 981?\nAnswer: 981.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/915 and -85\/15752?\nAnswer: 14413080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.77*-1.5.\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from mkztjww?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7694 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Suppose -a - 12 = -l*v, 4*v - v = 15. Let h be (-4 - -1) + (4 - a). Solve 8*d - h*d = -20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -1, -950957 in decreasing order.\nAnswer: 13, -1, -4, -950957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + -2 + -2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26533*t**4 + 25116*t**2 wrt t.\nAnswer: 636792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5, k: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.49063, -3, 5, -1\/3, 1\/12 in descending order.\nAnswer: 5, 1\/12, -1\/3, -0.49063, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/10 - 3)*-14. What is the greatest common factor of 560 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m**2 - 182*m**2 + 54*m**2 - 1301*m**2.\nAnswer: -1487*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2, -9*l - 4*d + 80 = -5*l. What is the highest common divisor of l and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Suppose 0 = -46*w + 52*w - 12. Suppose 46 = -w*k + 3*k - 5*d, n*d = -k + 86. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001061343 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 726 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 7*q - 8. Let o = -7 - -19. What is the smallest common multiple of b(-9) and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.5, -57, 4582?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - v + 15 = 0, 0 = -2*l + v + 79 - 84 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -787 + 2377. List the prime factors of u.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*l**3 - 3 + 2*l + 20 + 93*l**3 - 176*l**3 to c + b*l**3 + g*l + v*l**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -572 - 1232. List the prime factors of (1 - 0)\/((-22)\/r).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/25))\/((q*q**(-33)*q*q)\/q))**(-10))**(-10) assuming q is positive.\nAnswer: q**3192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45791?\nAnswer: 29, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*13301.\nAnswer: 5320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 9. Let l(m) = 17*m - 19. Let x be 7\/(21\/2)*-30 + 0. Let o = x - -7. What is o*a(k) - 6*l(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21\/882*119 + (-1)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 3. Let y = 11 + -6. Let g be y*(33\/(-15) + 1). Is 9 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 3581712?\nAnswer: 89542800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/60 + f**3\/3 - f**2\/2 - 18*f. Let k(s) be the first derivative of h(s). Calculate k(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*f - 12 = 0, -2*f = -0*f. Suppose 3459988 = i - p*i + 3*q, -2*q - 3460008 = 2*i. Round i to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + -183995 + (3 - (2 - 2)). Let h be 2220\/8*d\/(-6). What is h rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29342935 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (3 - -3))*2. Let s be i\/(-6) - 170\/(-6). Suppose s = 5*q - 41. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4 - 68. Find the first derivative of 26*o**4 - 12 - q + 3 wrt o.\nAnswer: 104*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from addqdttrlqqtl. Give prob of sequence qt.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798*f = -799*f + 6. Suppose -12*m + 606 = -f*m. Calculate the remainder when m is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2307*y - 2318*y + 30624. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2824, -2770, -2716, -2662, -2608, -2554?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {t: 1, b: 5, q: 2, j: 5, p: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let u = -1.65 + 2.05. Let y = u - q. Put 0.7, y, 1\/3 in ascending order.\nAnswer: 1\/3, y, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 1\/330*y**5 + 2*y**2 + 1\/66*y**4 + 0 + 0*y + 1\/33*y**3. Factor n(r).\nAnswer: 2*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/81 and -56\/657?\nAnswer: 5913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 11\/9, 1\/4, 0.1, 9, -16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2470*z - 17290. Give t(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268226763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 <= 2082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 79.30943 centuries?\nAnswer: 7930.943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/(((-10692)\/(-432))\/(-99))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 646519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490.372779925 - -693.\nAnswer: 202.627220075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309925.\nAnswer: 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37429*s**3 + 560*s**2 + s - 182014 wrt s?\nAnswer: 224574*s + 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 13 = 39*v + 4*k, -4*v = -5*k + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (6 - 4) + 35?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65792.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 - 2. Let j be m(6). Let n = j - -5. Solve -n = 4*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + ((sqrt(95)*-2 - sqrt(95))*-3 - sqrt(95)))\/(-1*sqrt(320)))**2.\nAnswer: 1539\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*u + 10 - 5*u**2 + 3*u**2 + 102*u - 20*u - 11 + u**3 to v*u + n*u**2 + c + l*u**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/22 - 912\/(-176)) + 299. Calculate the highest common factor of 32 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 18*t**2 + 446*t - 1566. What is m(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 != -6293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - 325*p**4 + 665*p**4 - 331*p**4 - 53*p**2 + 55*p**2 - 60 to the form q*p**4 + z + v*p**2 + h*p + b*p**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**25)**(-8) assuming m is positive.\nAnswer: m**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 21 = 5*u, 4*t = 5*u + 3 + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 6.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 10 = -2*q - 2*q, 40 = -4*q - 4*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6*(6\/4 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318003 (base 9) in base 6?\nAnswer: 4021303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 16 = -3*i - i - 6*m - 14, 5*m = -6*i - 40 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {t: 2, s: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 0.01, 0.2, -3, 0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 15*j - 26. Calculate x(19).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 304.5.\nAnswer: -304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/283 and 88\/453165.\nAnswer: 128245695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 1862?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -20025.\nAnswer: 11\/6675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 47. Solve 0 = -q - 4*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from kkyryyyrrrqqrrkyyqr?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = z - 13*w + 9*w, 3*w = 6*z - 3. Which is the nearest to z? (a) -1\/7 (b) -51 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/420 and 62\/7735?\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3243 <= -3243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 15. Let o = 16 + s. Let v = o - -8. Which is the third biggest value? (a) v (b) -2\/17 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306673\/9 + -34072. Find the common denominator of 1\/4 - (-230)\/(-232) and u.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 2387, 3594, 4821, 6074, 7359, 8682, 10049?\nAnswer: 11466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/152 (c) 88.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4038 - -4038.014277. Round f to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 931*p - 251080 + 309733 = 0 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*b + 16, -10*b + 7*b = -n + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145*7.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39969689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*l + 25*g**3 - 6707*g**2*l**2 + 3*g**2*l - 2*g**2 + 1142 with respect to l.\nAnswer: g**3 - 13414*g**2*l + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22137, 22035, 21763, 21237, 20373?\nAnswer: 19087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -74. Suppose m = 5*w - 5*u, w + 4*u = -2*w - 8. Let x(d) = d**3 - d**2 - 4*d + 59. What is the remainder when x(w) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 - 2904*b**2 + 524160*b + 1059968 = 0.\nAnswer: -2, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.184473 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 - 58 + 60 + 3*f**3 - f**4 + f**2 to x*f**2 + a*f + s + w*f**4 + q*f**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/39 + -113\/78. Let m = -8.077 - -11.1. Let f = m + -0.023. Put q, f, -17 in ascending order.\nAnswer: -17, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujjjfjfjucupj. What is prob of picking 2 j and 2 f?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 14*u + 8. Solve 0*c - u = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) - (51\/(-6) - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + f = 0, -2*u + 2*f + 76 - 72 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1036803.57 or -1\/2?\nAnswer: -1036803.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -949 + 19934\/21. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6242892 to the nearest integer?\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(104)\/sqrt(2)*3)\/(sqrt(100) + sqrt(100) + sqrt(100)*1 + sqrt(100) + sqrt(100) + sqrt(100)).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 25 = 5*y, 341*y - 25 = 3*u + 346*y. Find b such that -2\/17*b**2 + 0*b + u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -37*x**5\/60 - 31*x**4\/24 + 33*x**2. Find the second derivative of f(d) wrt d.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 8*k - 7. Let i be o(7). Suppose -d = 2*d + 12, v + 2*d = i. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 4, a: 10}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.8 + -1.8. Sort 2, 0.4, t, 2\/13 in descending order.\nAnswer: t, 2, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6786968 and -0.2.\nAnswer: -6786968.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(-2\/9))\/w))**(-3\/16) assuming w is positive.\nAnswer: w**(-7\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1318 + 5506 = 0. What are the prime factors of u?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 4*x + 7. Let o be h(5). Let r be 9\/10*o\/(-3). Let j = 7.9 + -8.9. Is r != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*b**3*z**3 + 2*b**3*z**2 - b**2*z**3 - 11*b**2*z - 9*b*z**3 wrt b?\nAnswer: -402*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h + 10. Determine d(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*s + 6*s - 4 = 0, -9 = -3*r + 2*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/10 + 493*y**2\/2 + 34216*y\/5 + 238826\/5.\nAnswer: (y + 14)**2*(y + 2437)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/27)*q*q**(-35))**(-2\/27) assuming q is positive.\nAnswer: q**(1840\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402336 (base 8) to base 11.\nAnswer: -9045a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2 + sqrt(153)*1 + sqrt(153) + (-3 + sqrt(153) + 1 - sqrt(153)) - ((sqrt(153) - (0 + 1*sqrt(153))) + -5 + sqrt(153)*1))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91692814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 57 (c) 3\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 13*r + 502. Give z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-10)))**(-40))**(-8) assuming q is positive.\nAnswer: q**(-3200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 8\/(-148) + (-4825488)\/(-1776).\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1. Suppose -r + 0*x - 2*x + 3 = 0, 5*r - 57 = 4*x. Let a(o) = -r*o + 3 + 13*o - 2 - 4. Let s(b) = -a(b) - 2*p(b). Determine s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1358207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 15*w + 12. Let m be p(14). Which is bigger: -10\/9 or m?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4*(99\/(-12) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfsfmbmsssffffppsfkm. What is prob of picking 2 f?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 25. Suppose -n = 10*n + 165. Let h be x(n). Let q(l) = 2*l + 5. Give q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -799*w + 807*w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 4*g**2 + 2*g + 2. Let d(l) = 10 - 6 + 2*l - 6 + 2*l**2. Let n(f) = f + 2. Let i be n(-4). Let o be d(i). Give z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-12)\/l)*l**(-2\/11))\/(l**(2\/9)\/(l\/(l**12\/l))) assuming l is positive.\nAnswer: l**(356\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*i + 1438*i = -605 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1350 - 1339. Let t = 1.69 + -2. Let p = 0.01 + t. What is the smallest value in -0.5, v, p, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-20)*6 - 352833\/1090. Are p and -333 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199010, 398024, 597038, 796052, 995066, 1194080?\nAnswer: 1393094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmuuwmumwmuuwmm. Give prob of picking 2 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 464564, 929139, 1393708, 1858271?\n\"Answer: -3*n**2 + 464584*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 541498 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100696154 at least 100696156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556 a factor of 75148948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2677 - -2680. Solve -8 = -4*n - 0, h*s + 2 = -2*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/638848 and -163\/504.\nAnswer: 5749632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -3241?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -118*q + 968. Determine n(9).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19389 + 19490. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8384264 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)*(o\/(o\/o**(-6)))\/o)**(-3\/4)*o\/(o*o\/(o\/(o*o\/((o\/o**0)\/o))))*o*o**(-2)\/o*o*(o*o*o**(1\/4)\/o)**40 assuming o is positive.\nAnswer: o**(629\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 323?\nAnswer: -47\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8994 - 134983\/15. Suppose 2*r - 4*b - 21 = -1, 2*b = 5*r - 18. What is the common denominator of ((-28)\/77)\/(r\/4) and c?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose -z*w + 15 = -t, 9 = -4*w + 5*t - 0. Suppose 5*a - 11 = -0*f + 3*f, w*f = 2*a + 4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-51)*(-187)\/22\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 809.1547 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqtq when four letters picked without replacement from {t: 3, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -790760, -790759, -790758?\n\"Answer: u - 790761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*h**2 + 77*h**2 + 651*h**2.\nAnswer: 501*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from zolzoosfzzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 11*a. Let j(u) = -3*u**2 - 32*u. Let s(t) = -4*j(t) - 11*m(t). Let b(y) = -y. Let w be (-7)\/(-7)*(19 + 2). Calculate w*b(g) + 3*s(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -5. Let a be -596 + -14 + (1 - -1). Let i be 2\/16 + ((-1060)\/a)\/f. Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**3 - 7 + 12 + 10 + 1 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 2, l: 1, o: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -3\/13 (c) 125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-18 - -16) - -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-2)*8410\/7569?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k**4 + 1212*k**3 - 312522*k**2 - 628592*k - 314880 = 0.\nAnswer: -1640\/11, -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {h: 1, c: 1, a: 2, i: 2, g: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(128) + -1) + (-5*sqrt(30)\/sqrt(3))\/(sqrt(5) + -4*-1*sqrt(5)))**2.\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (148\/10)\/((-38)\/(-14155))*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1955\/(-4))\/(162\/24 - 7)?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -21*b + 1. Let w = -21 - -20. What is the smallest common multiple of (2\/2)\/(2\/4) and o(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 - 7 = 0. Let r = -8.1 - -8. Let s = 407 + -9359\/23. Which is the third smallest value? (a) s (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252.02957924 + 252.03. What is t rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = 3*l, -g = -3*l - 1 - 2. Let q(v) = v + 3. Let d be q(l). Let s = 601 - 596. Solve -3*x - 5*h = 10, 0 = d*x + x + 5*h + s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 4829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (37 - (-53 - -25 - -69))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/84180 and 17\/3795.\nAnswer: 925980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 2, 5, 313?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 15. Suppose -f + 9 = -2*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 8. Let g be o(-6). Suppose -5*k + m + 397 = 0, -g*k + 276 = 4*m - 56. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5804147?\nAnswer: 29, 263, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*j + 2966000, 11*n = 6*n - 4*j + 3707500. Round n to the nearest ten thousand.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 0*h)*(43 - 13 + 16) - 16 + 16 + 58*h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y - 45. Let z(h) = h**3 - 5*h**2 - 5*h - 3. Let o be z(6). Suppose 6*p + 3*w = p - 74, o*p - 5*w = -58. What are the prime factors of x(p)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -96*x + 1074. Calculate the smallest common multiple of f(11) and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15040\/72)\/(-20))\/((83\/498)\/((-3)\/16)).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylww when four letters picked without replacement from {x: 4, y: 4, l: 3, w: 6}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9400989 (base 10) to base 13\nAnswer: -1c42020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1\/15 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2))**2*-4 + sqrt(17)*1 + 1.\nAnswer: -67 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*5\/(-20)*8\/6. Let s = 0.7 + 3.3. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210020020000 (base 3) to base 9\nAnswer: 706200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n + 15. What are the prime factors of s(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35200 and 1436336.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 4*z)*((-2*z + 2 - 2)*(2 - 5 + 2) - z + 1 - 1 - 6887*z + 3382*z + 3142*z) to the form g + u*z + c*z**2 and give c.\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 4069273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/30*(-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -23.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1010100111100?\nAnswer: -1010100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2152, 1, -0.03, 2\/3 in decreasing order.\nAnswer: 2152, 1, 2\/3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338331132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -70, -115, -198, -331, -526, -795, -1150?\nAnswer: -1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18789 = 10*j + 3*j - 18711 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83621201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412 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 223751 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k = -3*o - 705, 0 = -3*k + 3*o + 1059. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p + 3*r, 2*r = -0*r. Suppose -2*s = -p - 0. Factor f + 2*f + s*f**3 - 2 + 3*f - 6*f**2.\nAnswer: 2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:52 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.5, -0.019, -5\/8?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 2*f**2 - 2*f**2)*(-2 - 3 + 3) - 32*f**4 - 15*f**4 - 23*f**4.\nAnswer: -74*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6603, -6610, -6631, -6672, -6739?\nAnswer: -6838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.6022 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/2*(-27 + 25). What is the highest common divisor of r and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24, -22, -156, -420, -856, -1506, -2412, -3616?\n\"Answer: -7*v**3 - 2*v**2 + 9*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m**3 - 3*m**3)*(-m + m - m) + (-2 + 2 + 2*m)*(-16*m**3 + 0*m + 0*m).\nAnswer: -33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -132 (b) 13 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 13. Let j be 12\/18 + 20\/(-3). What is the units digit of z(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18386, -18397, -18416, -18443, -18478, -18521?\n\"Answer: -4*t**2 + t - 18383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ghhcgggggggggg.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56401.\nAnswer: 56401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/(-8) - (-9)\/(-24). Let f be 3\/((-3)\/g) - 18\/9. Let d(i) = 4*i**2 + 4*i - 4. Let z be d(f). Solve 0 = 2*y - 4*s - z, 0*y = 2*y - 5*s - 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/(-495)*(-352)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 + 0*o**2)*(2 - 2 - 2*o**3) + (-1151*o**3 + 21*o**3 + 41*o**3)*(0*o + 0*o + o**2).\nAnswer: -1091*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 9. What is the remainder when 2*((-9)\/q + 2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/k)**(-49)\/(k*k*k*k\/(k\/(k**(-1\/3)\/k)))**(13\/5) assuming k is positive.\nAnswer: k**(415\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124260 divided by 24852.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 r, and 1 t when four letters picked without replacement from {t: 2, r: 13, n: 3}?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4946184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 2:16 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10272 and 26.\nAnswer: 133536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 4?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4091337 - 780537 = 0. What is u rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 456*o**3 + 4*o**2 - 33*o + 48. Is h(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + 2*b**2 + 2*b + 1. Let f be m(-1). Let n(t) = -117037*t**3 + 1. Let g be n(f). What is g rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5389172t?\nAnswer: 538917200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -0.4 (c) 4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 21 = 7. Let u(v) = 2*v**2 - 10*v - 8. Calculate the remainder when 57 is divided by u(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 30790?\nAnswer: 30790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -51. Let o(d) = -d**3 - 2*d**2 + 3*d - 10. Is o(r) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -117274*a. Let s(l) = -11*l. Calculate j(s(b)).\nAnswer: 1290014*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = 3*v. Let s(c) = -c**2 - 1. Suppose 0 = -34*x + 87 + 151 - 68. Let f(j) = 9 + 11 + 4*j**2 - 15. Give v*f(l) + x*s(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.287 - 0.26. What is the closest to 1\/5 in c, -0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89651424.\nAnswer: 2, 3, 19, 23, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*g + 1 + 15, -g - 3*p = -8. Solve 5*n = -4*r + 20, -3*r + g = 3*n - n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-12)\/(-56))\/(-3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 246 (b) -2\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12 + (-3 + -1 - -8). Let k(w) = w**3 + 7*w**2 - 7*w + 9. Let i be k(q). Let t(d) = 16*d + 1. What is the remainder when 50 is divided by t(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + (1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45200014 = 2*q + 4*f, -2*q + q + 22600004 = f. Suppose -w = -2*s + q, -3*w - 9285185 = -3*s + 24614818. What is s rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 - 1157.73?\nAnswer: -797.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48*-19.9376\nAnswer: -957.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-88))\/((-16)\/1376)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(4\/7))\/q)\/q)\/q*q*q**(8\/13)*(q**(-7\/5))**18)**(-5\/8) assuming q is positive.\nAnswer: q**(11381\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -22.6, -84, -2\/9, -1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/20021148 and 61\/13206.\nAnswer: 620655588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t - 33*t - 209*t**2 + 17*t.\nAnswer: -209*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/126)\/(13\/(-312)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -193*v**4 + 2*v**3 + 303*v**4 + 5*v**3 - 2*v**3 + (2*v**3 + 0*v + 0*v)*(-5*v + v + 2*v) - 2*v**2 + 2*v**2 + 2*v**4.\nAnswer: 108*v**4 + 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 4*n + 4. Let g be h(4). Let l(r) = -3*r + 0*r + g*r - 3*r. Let q(t) = 6*t + 1. Calculate 7*l(s) + 2*q(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 + 57*u - 16. Let n(v) = -8*v**2 - 58*v + 13. Determine -4*h(g) - 5*n(g).\nAnswer: 4*g**2 + 62*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 222 + -225.8. What is c rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 24*z**2 + 23*z - 66. What is k(-25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 5, -13, 3, -3, 25, 1 in decreasing order.\nAnswer: 25, 5, 3, 1, -3, -13, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2025254 centuries to decades.\nAnswer: 2.025254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288 - -299. What is the greatest common factor of f and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v + 73. Calculate k(-27).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 7 - 1 - (-9 + 9). Suppose 2*u - 5*x = 10, 0 = 5*u - 4*x - x - 40. Solve -i = k*i + u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/57? (a) -21\/2 (b) -3\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 2*b - 1. Suppose -4*g = -2*p - 3*p + 1, 2*p = 2*g. Let m be k(g). Suppose -2*h = 18 - 82. Calculate the greatest common divisor of h and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019637 - 8736.52?\nAnswer: -8736.5180363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/30 - 7*x**4\/12 - 13*x**2. Find the second derivative of c(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414632806?\nAnswer: 2, 707316403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187364 (base 9) to base 4.\nAnswer: 130203031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*x - 81 = -526 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -737 - -467. What is c rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859518203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*j**2 + 0)*(7 - 1726*j + 16*j**2 + 4 + 1727*j) as p*j**3 + q*j + g + r*j**4 + a*j**2 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15403045*p**3 - 2*p - 62981 wrt p.\nAnswer: -92418270*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -698*x - 13. Suppose 0 = -7*t - 30 + 2. Let m be t + ((-9)\/(-36))\/((-2)\/(-8)). Is p(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 2*j**4 - 3*j**4 + (2 + 0 + 1)*(-2 + 2 - 2*j**4).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 5 - (9 + -27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.118 times -11575\nAnswer: -36090.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*j**2 + 6*j - 4.\nAnswer: 2*(2*j + 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 30 = 24. Let i be (-1536)\/(-16)*l\/(-3). Suppose 0 = -3*h + 445 - i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*u = -352423 - 216744. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2879267885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*q - 2809 - 6695 = 1644 - 456 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3750 = 9*s + s. Let c = -353 - s. Solve -c = -4*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 1 + 7*l - 5*l. Let g(p) = -p**2 + 7. Let h be g(8). Let t = h - -54. Determine b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 + 4*c. Let g be z(-4). Suppose -21 = -2*v - o - g*o, v - 9 = -o. What is the remainder when 95 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 248. Let y(v) = -11381*v. Calculate y(t(n)).\nAnswer: 22762*n - 2822488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1302 + 1308. Solve -4 = -i - z, 3*z = 3*i - 0*z + a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.3778631\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6274 divide 2171020680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvxvmvmvv. What is prob of picking 1 m, 2 v, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3939209773 and 1147.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1187 and -173.\nAnswer: -205351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 4, r: 1, m: 2, g: 2, v: 3}. Give prob of picking 2 v and 2 m.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((4\/2)\/2). Let c = -5 - -5. Let k = -0.1 + c. What is the second smallest value in m, 5, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 5*u - 11. Let k be c(7). Let n be (-1 + -1)*(-1 - 1). Suppose n*m - 20 = k*m. Calculate the remainder when 39 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -36*m + 33. Let v(b) = -9*b + 8. Let r(l) = 2*f(l) - 9*v(l). What is the first derivative of r(y) wrt y?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2994*b**2 - 4*b + 16. Let h be a(4). Suppose -14*v + h = -30524. Let p = -61662\/11 + v. Find the common denominator of -9 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s - 2 + 0 - 4*s)*(s - s - 4*s) as z*s + n*s**2 + g and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4073.\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/14 - 1*6\/21. Suppose -2*x = -3*x + a. Solve -3*g - g = -x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1\/(-5) - 8\/10). Suppose q = -5*o + 246 - 96. What is the second derivative of -o*b**3 + 25*b + 30*b**3 - 10*b - 28*b**4 wrt b?\nAnswer: -336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 + q + 1. Let s(r) = -r**3 + 3*r**2 + 3*r + 2. Let f be s(4). Give i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.599 - -88.61. Let v = r + 8. Let k = 0.489 + v. What is the third smallest value in k, -2\/3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**4 - 2*d**3 + d**2 - d + 1. Let f(n) = 10*n**4 + 12*n**3 - 20*n**2 - 68*n - 34. Let u(l) = 2*f(l) - 4*o(l). Factor u(r).\nAnswer: 4*(r - 2)*(r + 1)*(2*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2454*h - 2 - 3184*h**2 + 3183*h**2 to r + b*h**2 + z*h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 30 = -30*u. Solve -6 = u*w, -2 = 4*q - 2*w + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvvzvv. What is prob of sequence vvz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -23, -4, -0.4, 2\/9, 3.\nAnswer: -23, -7, -4, -0.4, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 334097356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b438 (base 13) to base 10.\nAnswer: 82012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:03 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4048)\/(-14168))\/((-1)\/108*-3). Find f such that -r*f - 90\/7*f**3 + 132\/7*f**2 - 3\/7*f**5 + 27\/7*f**4 + 0 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*b**5 + 2*b**4 + 127*b**3 - 7*b**2 + 89*b - 3?\nAnswer: 5340*b**2 + 48*b + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10472 and -101\/40936.\nAnswer: 450296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m + 510*m + 15*m + 249*m to o*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -23. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725080619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23 from 0.101.\nAnswer: 23.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/126)\/((-1)\/(-27)). Solve 0 = -w*v + v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-13 - -5) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*w + 41*w. Solve w = 5*o + 4*f - 12, 2*o - 3*f - 3 = 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = 0, 38 = 4*c - 1192*v + 1183*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/10 - 5\/(25\/2). Suppose k - 3*r + 8*r + 18 = 0, -a*k + 33 = -r. Solve -k*x - n = -2*x + 5, -x = -2*n - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*2795\/(-117)*9 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u + 5, 0 = -4*i + 5*u - 5. Suppose i = -4*b + 8*b - 220. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2. Let i(d) = d**2 - 2*d**2 + 5*d**2. Give f(i(b)).\nAnswer: -80*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Let w = 1.4 + -1. Let b(q) = q. Let p be b(3). What is the nearest to 0 in v, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3993)*2*1)\/((sqrt(704) - (-2*(sqrt(704) + 3*sqrt(704)) - sqrt(704)) - sqrt(704))*6)*2.\nAnswer: 11*sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3882.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**8\/336 + i**4\/12 + i**2 + 3*i. Let t(c) be the first derivative of b(c). What is the second derivative of t(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 11*u - 14. Determine s(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -485*t**2 - 2*t + 6*t - 5*t - 445*t**2 - 3305*t**2 as h + f*t**2 + b*t and give f.\nAnswer: -4235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:24 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56 (b) 2 (c) -0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 28*b = 12. Let h be 5 + -1 + b + 5. What is the third derivative of 0*y**2 + 5*y**2 + 0*y**2 + 12*y**h wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - 81) + (15 - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 8*t - 2*t**2 - 131)*(4*t**3 - t**3 + t**3).\nAnswer: -8*t**5 - 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o + 335. What is y(-40)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5701 (b) -1 (c) 3 (d) 0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 + 26155*b**3 - 45596880*b**2 + 26476570880*b + 26522193920 = 0 for b.\nAnswer: -1, 1744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*16\/(-240)*6\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -6*1*sqrt(70) - sqrt(70)) + (sqrt(70)*-2 + sqrt(70) + sqrt(70))*-1)\/(4*(sqrt(90)\/(sqrt(9) + sqrt(9) + sqrt(225) + sqrt(9)) - sqrt(10))).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2667 by 7.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/4333, -0.5, 1\/19, 4, 1\/4 in ascending order.\nAnswer: -0.5, -30\/4333, 1\/19, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020975.\nAnswer: 3, 5, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 7\/4*l**4 + 0 + 0*l - 1\/2*l**3 + 1\/4*l**2.\nAnswer: -l**2*(l + 1)**2*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286150 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 (3347\/7186009)\/(1\/38)?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let b(r) = 7*r**2 + 3*r + 2. Let g be b(o). Let u be 4\/((-8)\/(-1))*g. Calculate the greatest common factor of u and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 22*q**2 - 27*q - 127. Calculate f(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 5*b - 6. Suppose 0*c + 44 = 2*c. Let n = -18 + c. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1 - 4 - c - c. Let w = 3 + 1. Let f = w - 8. What is i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - t = 2*f - 9 - 1, -t - 65 = 7*f - 58 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.660287 - 14098.3.\nAnswer: -14032.639713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13988 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426074116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/7 - 270572*f\/7 - 9151150898\/7 = 0.\nAnswer: -67643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -494*q**4 + 41*q**3 + 2741*q**2?\nAnswer: -11856*q + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -82*(-1)\/(-3)*3 - -3. Let v = 157 + r. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -5*x - 60. Suppose a + 2*f = -a - 6, -4*a - x = 3*f. Let u be a + 3 - (2 + 0). What is the third biggest value in -3\/7, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.89 + 5.09. Which is the nearest to m? (a) -2\/9 (b) -4\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q**(2\/5)*q**(-4)*q*q*(q\/(q\/(q**(-3)\/q*q)))\/q)**(-24\/5) assuming q is positive.\nAnswer: q**(624\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 22. Let f be v(-9). Suppose -4*w - m + 4*m + 15 = 0, -3*m - 15 = f*w. Suppose 3*g + w*g - 117 = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(15)\/(sqrt(10)\/sqrt(2)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (1 - (11 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n - 1740. Let p = n + 352. Sort 0.2, p, -0.1, -11.\nAnswer: -11, -0.1, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -3.8. What is q rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45628045 divided by 5.\nAnswer: 9125609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0322 * 245.6\nAnswer: -7.90832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*q - 22*q + 17*q + 5*q - 3*q + 0*q + (1 - 3 + 0)*(-176*q - 418*q + 16*q).\nAnswer: 1170*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 46*o**2 - 458*o + 1367. Calculate f(54).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k + 16, -g - 4*k - 85 = 0. List the prime factors of (-2)\/8 + g\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134374 rounded to the nearest one hundred?\nAnswer: 134400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1.5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 1105*m**2 + 61600*m - 60500.\nAnswer: 5*(m - 110)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -52. What is the nearest to 2 in z, 11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 3*h - 12, 5*c - 20 = -5*h. Let v be (0 - 6) + c\/11. Which is smaller: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 330.02229 and 5.\nAnswer: 335.02229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 830 (c) 2.136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 divided by -3?\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*j + 3*j - 12 = 0, 0 = -5*z + 5*j + 40. Suppose -v + v = -z*v. List the prime factors of ((-16)\/4)\/((-6)\/99 - v).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7013 - 4*g - 7013.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1\/10 (b) 0.4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3. Let i = -0.5 - 0.5. Let w(k) = -k**2 + 10*k + 34. Let n be w(-3). What is the closest to i in n, -1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023538 rounded to five dps?\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100011 + 10?\nAnswer: 11110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 1057924*p\/3 - 1057912.\nAnswer: -4*(p - 264478)*(p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let j(h) be the first derivative of -h**3\/2 - 7*h + 15. Let g(v) be the first derivative of j(v). Determine g(m(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 3*p + 0*p + (p + p - p)*(-3 + 1 + 1) + (1 + 0 + 1)*(6*p - 4*p + 0*p) + 4*p + 3 - 3 in the form b*p + j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3ca3745c - 2?\nAnswer: -3ca37461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 - 2*t - 4. Let q be w(-5). Let f = 13 - q. Let d(z) = z + 3 - f - 2. Give d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74782555 or -74782550?\nAnswer: -74782550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (468\/3120)\/((-30)\/(-4))?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 850712033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((14\/(-28))\/(1\/(-4)))\/(-2*5). Let y be ((-2)\/12 - 0)*-9. Put v, -0.5, y in descending order.\nAnswer: y, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -0*j + a, 0 = -4*a + 20. Let t = j - 0. Let w be 4 + (0 - 1 - t). Solve h - 9*m + 28 = -w*m, h + 5*m - 22 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*o - 2456*o + 1418 = 565*o + 65338 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -87 (b) 0.5 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169044751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*d + 3*d + 1356 + 4390. What is the remainder when d is divided by 64?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(3*l + 13 - 3*l + 3144*l**2 - 3542*l**2).\nAnswer: -398*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from ongsr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -r - 17, 4*w + 57*r - 26 = 59*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 5, z: 2, r: 3, b: 4, k: 5}. What is prob of sequence bvzr?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + w**2 - w**2 + 0*w**4 - w**4 - w**4 + (-66*w + 37 - 37)*(0*w**3 - 4*w**3 + w**3) as p*w**2 + f*w + b*w**3 + c + a*w**4 and give a.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 183539*x**3 - 2*x**2 - 10*x + 3. Let l(v) = 2*v**3 - 11*v**2 + 13*v - 13. Let z be l(4). Let q be h(z). Round q to the nearest one million.\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -10. Let y = 2 + j. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**4 - 173000*a**3 + 1489166360*a**2 + 126006972000*a + 2652570582480 = 0.\nAnswer: -42, 17342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3536812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8702 - 8614. Sort 1, 0, i.\nAnswer: 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 101, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) - (-187)\/33. Let c(n) = -2*n**3 - 2*n**2 + 3*n + 3. Let b be c(2). Let m be (3\/(-5))\/(((-18)\/b)\/(-6)). Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -286720 and 215.28.\nAnswer: -286504.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*r - 0*r - 28, 4*t = -3*r + 14. Solve 2*g + 2 = -r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.008? (a) -14 (b) 63\/61 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 11101205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*x - 998, -3*x + 6*t + 726 = 9*t. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v - 1. Let u(a) = 33*a + 33. Give -33*i(k) - u(k).\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 3357 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose -3*p + 7 = -5. Differentiate 4*c**j + 1 + 2*c**4 - p*c**3 with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 10. Let m be ((-21)\/14)\/((-1)\/(q\/(-6))). Suppose -t = -m*t + 3*g + 44, t - 48 = 4*g. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.5 + -16. Which is bigger: j or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 3*p**2 - 6*p + 8. Let s be h(4). Calculate the greatest common divisor of 90 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/459 (b) -0.0675 (c) -2\/13 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from xxhoglbl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -737081, -737908, -738733, -739556, -740377, -741196, -742013?\n\"Answer: k**2 - 830*k - 736252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*r**5 + 7*o*r**3 + 106*o*r**2 + 5*r**5 - 2*r**2 wrt r?\nAnswer: -120*o*r**2 + 42*o + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*m = 81*m + 2235 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 17. List the prime factors of d(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8*s**4\/7 - 838*s**3\/7 - 3838*s**2\/7 - 3788*s\/7 + 1200\/7 = 0.\nAnswer: -100, -3, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007283 rounded to six decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 4, n: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 109. Let z(h) = -27. What is -2*g(x) - 9*z(x)?\nAnswer: 2*x + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5875, -1, 2 in descending order.\nAnswer: 5875, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 133 = 283. Suppose 3*n - 2*a - 313 = 0, -5*a + 3*a = -4*n + x. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d + 83*d + 49*d.\nAnswer: 113*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5))**(2\/17)\/(o**(1\/14)*o*o**17) assuming o is positive.\nAnswer: o**(-21589\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3006, 8543, 17786, 30735, 47390?\nAnswer: 67751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 636\/5 at least 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:42 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*u - 195*u - 585*u = 11733 - 3375 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4 - -2))\/((-3)\/(-6)). Suppose o*k = -2*k + 2932. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 75265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-10) - 24\/(-60). Let d(i) be the first derivative of -w - 15*i**6 + 14*i**6 + i**2 + i - i. Find the second derivative of d(b) wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 857\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 41.1844 + 0.9\nAnswer: 42.0844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let x(k) = -37*k - 1547. What is x(-47)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/15 + 259312*l + 7779400\/3.\nAnswer: -2*(l - 1944850)*(l + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.1 - 12. Let z be (-5)\/25*30\/9. Is y <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -31. What is the least common multiple of s and ((-8)\/(-32))\/(8*2\/640)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 257\/98 + -6\/49. Let t = -16.55 - -12.1. Let h = 0.45 + t. What is the nearest to -1\/3 in b, 3, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let b = -1690 - -1689.71. Let y = b + -2.71. Put 0.1, p, y in decreasing order.\nAnswer: p, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, a: 3, g: 3}. Give prob of picking 3 i.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11623871?\nAnswer: 7, 1660553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46748 and 639392.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 + -12.24. Let s = -12 - x. What is the second smallest value in -3\/5, -9, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 1347766*x**2 - 7*x + 39 + 4*x**3 - 3*x**3 + 1347766*x**2.\nAnswer: -3*x**3 - 7*x + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = 37*o - 456 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15798126 to the nearest integer?\nAnswer: 3975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*m**2 + 2*m**2 + 213*m**6 - 60*m**6 + 0*m**2 - 25 - m**2 wrt m?\nAnswer: 18360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05062 and -38?\nAnswer: -1.92356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j + 7\/12*j**4 + 3*j**2 + 0 + 0*j**3. Let k(h) = h**2. What is k(i(r))?\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28 + -5 - (4 - (-2 + 4)). Is 1518\/4 - q\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 9*i + 5. Let x(t) = t**2 - 2*t + 1. Determine 2*v(a) - 9*x(a).\nAnswer: -3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -113651 smaller than -113644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74370 divided by 2479?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12607510 to the power of 1\/2, to the nearest integer?\nAnswer: 3551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1613370 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 + -273. Let v = d + 101. Which is the third smallest value? (a) -2\/9 (b) 2\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z**3 + 8*z**2 + 4*z + 9. Let a(n) = -25*n**3 - 14*n**2 - 8*n - 17. Let o(x) = 4*a(x) + 7*i(x). Let y(f) = 4*f**3 + 2*f + 3. Give -3*o(m) - 5*y(m).\nAnswer: 7*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259.9581 + -0.0419. Let i = -260.000785 - c. Round i to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-8)\/(-16)*73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 457 + 873 = 0. Let g = o + -47. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 - -123212302?\nAnswer: 123211230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/(-30))\/(1\/(-5)). Suppose -p - 2*p = -s. Differentiate 3*i**2 + p*i - 4*i - 7 + 17 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0526788 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1172*t + 1174*t - 8596 = 0. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and 7560635?\nAnswer: 98288255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Let g = n + -1. Factor 2*i**3 + i - g*i + i.\nAnswer: 2*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24*((-2 - -5 - 6) + 4). Is p not equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 5. Let p(t) = -3*t**2 + 4. Suppose 3*u = 5*k - 23, 1160 = 5*u + 3*k + 1119. Determine u*d(i) + 5*p(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14549.\nAnswer: 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10) + (15 - 35 - -30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(1995\/1848)*(-23)\/(-184).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213022 - -4?\nAnswer: 213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 23261850 to the nearest one hundred thousand.\nAnswer: 23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 4*w - 20*w - 14*w + 13*w + 66*w.\nAnswer: 43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9609, 9622, 9647, 9690, 9757, 9854?\n\"Answer: q**3 + 6*q + 9602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 0*q + 4 - 4 - 4*q + (4 - 1 - 1)*(0*q - q + 4*q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -486291.186 - 9.\nAnswer: -486300.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3385099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3641 - -0.9641. What is the closest to 0.5 in 2\/7, 1, p, -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*b**2 - 24*b - 6*b + 7*b**2 + 0*b wrt b?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78337 - -138286. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77610551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11340 + 321143?\nAnswer: 304303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8981 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, a: 2, t: 7, p: 1, d: 2}. What is prob of picking 1 c, 1 p, and 1 a?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**8\/10080 + s**5\/10 + s**2. Let g(h) be the third derivative of p(h). Let y(f) = -12*f - 7*f + 28*f. Calculate g(y(o)).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13239*m**3 - 4*m**2 + 518*m - 234622769 wrt m.\nAnswer: -39717*m**2 - 8*m + 518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -22082*t**2 + t - 54. Let m be w(6). What is m rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*f*y**3 + 103*f*y**2 - 5*f*y + 199*f + 5*y**2 - 5*y - 1 wrt y.\nAnswer: -234*f*y + 206*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(-2)\/(-2))\/(10\/(-280)). Calculate the greatest common divisor of 1442 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-138)\/27)\/((-200)\/(-15)). Let y = v + 2\/15. Let w(g) = -2*g - 1. Let u be w(-1). Do u and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 133. Let h be t(-43). What is the nearest to 9 in 0, -0.03, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84957658 is divided by 3344.\nAnswer: 3338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(1 + 1\/2). Let u = -8 - -16. Let y = 13 - u. Solve -4*n = -r*n - y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3251447 or -3251420?\nAnswer: -3251447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 182098139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*(-16)\/6 - 2. Let i(n) be the first derivative of -3\/2*n**x + n**3 + 0*n + 3. Determine q, given that i(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271095 is divided by 1279.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sszs when four letters picked without replacement from {s: 5, a: 3, z: 1, i: 3, d: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/((-9)\/90*-2*6\/(-15)). Which is the closest to 1? (a) 2 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -470.41 less than -994.09?\nAnswer: -523.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 109 - 48*m - 247 + 97 + 100.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b, -4*b + 1731 = -3*o - b. Let l = o + 816. Let v be 22*4*(-6 - l). What is v rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8713\/3 - -2904. What is the smallest value in 18\/23, v, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 409.78 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/4))\/b**(1\/4)*(b*b*(b*b**(-1))\/b*b)\/((b**35\/b)\/b) assuming b is positive.\nAnswer: b**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29591, 29566, 29497, 29366, 29155, 28846?\n\"Answer: -3*r**3 - 4*r**2 + 8*r + 29590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11720*z**3 - 35184*z**3 + 11734*z**3 + 11732*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -189.999256 and 0.3.\nAnswer: -56.9997768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 44 = -0*f. Is 6 a factor of (f - (-6)\/3) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24356, -26225, -28092, -29957, -31820, -33681?\n\"Answer: r**2 - 1872*r - 22485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -40 - (-34 + -35 + 83).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -77\/16, -1\/3, -0.5, 8, -1 in decreasing order.\nAnswer: 8, 1, -1\/3, -0.5, -1, -77\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115618?\nAnswer: 2, 57809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x + 5*x**3 - x + 1 - 18*x**2 + 19*x**2 - 4*x**3. Let c be 2 + (-8)\/(4 - 0). Suppose 6*i - i + 10 = c, 3*k + 2*i + 4 = 0. What is t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*q**2 + 0 - 2\/7*q**3 - 76664*q = 0. What is q?\nAnswer: -518, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1458*z - 1446*z. Let n(j) be the third derivative of 13\/6*j**3 + 7\/30*j**5 + z + 0*j**4 + 0*j + j**2. Differentiate n(c) with respect to c.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -59\/6, -1\/2, 0, -5275?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5 = o, 4*o - 39*y = -36*y + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -310a74 + -47b?\nAnswer: -311333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180\/2 - (-2 - -2). Suppose 0 = -180*a + 19*a + a + 4800. Calculate the highest common factor of y and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 4*z - 4. Determine o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-2)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 - -195. What is the common denominator of -51\/14 and 298\/620*t\/(-18)?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (266067\/1110 - 240) + (-57)\/10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*13\/6435*15*-11*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8505.609mm in micrometers?\nAnswer: 8505609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3168 + 256 = 0. Calculate the greatest common divisor of 104 and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28116.961 + 0.1?\nAnswer: 28117.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5036*h = -4951*h - 86 - 1189 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*x - 929 = 3851 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1016.013348s?\nAnswer: 0.00167991625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*t + 18, 5*t = -4*l + 10 + 12. Solve -2*m = 2*h - 18, -t*m - 41 + 64 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 - 8*h. Let o(z) = 101*z. Calculate o(x(y)).\nAnswer: -606*y**2 - 808*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1 - 147\/(-28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-80))\/3)\/((-3)\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-16)\/(-672)*6\/4*12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -46*w - 4*w - 26*w - 307, w - 9 = 5*a + 2*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + -20. Let s = 44 + h. Calculate the greatest common divisor of 304 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17341 is divided by 255.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*x**2 + 530*x + 443*x - 456*x**2 - 119*x + 2 - 4.\nAnswer: x**2 + 854*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 65*v**2 + 76*v + 253. What is the hundreds digit of n(57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168 + -179 - (-9 + 0) - -2) + 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (5 - 12)) + 48 - (95 - 89)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -262*s. Let q(w) = -w - 1. What is 4*q(a) - u(a)?\nAnswer: 258*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8036, -32053, -72074, -128093, -200104?\n\"Answer: f**3 - 8008*f**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*z - 28, 12 = 3*f - 0*f + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o**3 - 12*o**2 - 35*o + 356. Let u be l(7). Which is smaller: -6996 or u?\nAnswer: -6996","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = r - 11, -u + 9 = r - 2*r. Let d be (-26)\/(-10) - u\/(-10). Let i(l) = l**3 - l**2 - 3*l + 4. Is i(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 3\/2*r**2 - 1\/3*r**3 - 6 - r. Calculate l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Suppose o = -s + z, -o + 2*s = 4*s - 3. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1011?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x**2 + 211*x + 585. Let k(h) = 48*h**2 + 846*h + 2340. Let a(r) = 15*g(r) - 4*k(r). Factor a(l).\nAnswer: -3*(l + 15)*(4*l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*s - 19 + 2, 0 = 4*s + w + 18. Let m = -6 - -8. Which is the second biggest value? (a) s (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 503*c**2 + c + 2. Let s be o(-1). Suppose 13*i = i + s. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20 = -5. Let c(k) = -k**3 - 3*k**2 - 3*k. Let g be c(z). Which is smaller: -2\/7 or g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(-1 + 1 + sqrt(1573)) + 5 + sqrt(1573) + sqrt(1573) + 0 + -5)**2.\nAnswer: -66*sqrt(13) + 14158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, -10, -8, -6.325.\nAnswer: -10, -8, -6.325, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -0.4. Let u = k + 3.8. Let m be (-3)\/(-9)*(-18)\/(-8). Which is the closest to 3? (a) m (b) -1\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -945, -2\/5, 2, -0.3, -73?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -312882, -625716, -938552, -1251390, -1564230, -1877072, -2189916?\n\"Answer: -f**2 - 312831*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - (-35)\/7) + 5. Suppose -2*v + 4*r + 25 = -r, -r = -v + 11. Suppose j + v = -7*n. Let d(q) = 1. Let f(z) = 2*z + 3. What is n*d(c) + f(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 31, -9 in descending order.\nAnswer: 31, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -4.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2051228 (base 9) to base 13.\nAnswer: -2c51a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1747 + 34460. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*n + n = 10, 3*a - 5*n + 16 = 0. Let r(z) = -34*z. What are the prime factors of r(a)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060200 rounded to the nearest 10000?\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/2, 12, -0.1, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 6968510.\nAnswer: -20905530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4719559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17166, 34355, 51544, 68733, 85922, 103111?\nAnswer: 120300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147611591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/30 - 3*p**4\/8 - 5*p**3\/3 + 4*p**2. Is k(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 68. Let m be h(-28). Let r be (150\/(-9))\/(m\/158400). What is r rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**4\/24 - b**3\/3 - 3*b**2 + 394*b. Give c(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**4\/4 + 158*v**3\/3 - 323*v**2\/2 - 480*v + 3678. Factor l(o).\nAnswer: (o - 3)*(o + 1)*(o + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9949a1 (base 11) to base 3\nAnswer: 2222122222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 3*b**3 + 5*b**3)*(0 + 5 - 2).\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.39\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156049237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 91*w**2 - 2*w + 2. Let r be c(4). Is (r\/40 + 4\/(-2))*44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 2*n, q + 4*n = 2*n. Let f be 17\/3 + q\/(-3). Let m = 17 + f. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(14) + -3*sqrt(126) - sqrt(14))\/sqrt(2).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 3. Let b = 10 + v. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 15264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 - 149. Calculate the lowest common multiple of 168 and m.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6 - 4. Let a(k) = 6*k**2 - 1. Let u be a(-1). Find the first derivative of 4*y**3 + 6*y**2 - 2*y**2 - 4*y**c + u wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1029)\/(-294) + (-14)\/4. Factor 0*a**2 + 0 - 1\/4*a**3 + j*a.\nAnswer: -a**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/((-17405)\/(-181012))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 23 - 5 - 20 - 33*q.\nAnswer: -47*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426 = -3*l + 3*m + 2459, m = 4*l - 29 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42 - -3)\/(-3) + -2. Let a(p) = 99*p**2. Let t be a(-1). What is the greatest common divisor of w and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 130*x + 121. Let w(t) = -3*t**2. What is w(a(l))?\nAnswer: -50700*l**2 - 94380*l - 43923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*c - 18, c - 4 = -3*p + 4. Suppose 2*l = -l. Let w be (l + -1)*(-4)\/4. Solve p*q + w = -5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956920 divided by 4.\nAnswer: -239230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 0.0125.\nAnswer: 1.0125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -568623.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 22*s + 261 = -11*s + 151, -s = -2 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18692, -4, -52 in decreasing order.\nAnswer: 18692, -1, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000408708 to six dps.\nAnswer: -0.000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 99*i**2 - 341*i - 1673. What is the tens digit of f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -355\/1281104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1658.05123 to 1 decimal place.\nAnswer: 1658.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 24 = 6. Suppose i - 15 = -5*h + 3*i, -3*h - i + 20 = 0. Let u be (-40)\/(-3) + (-2)\/(-3). Solve -h*s + g = -u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0*r**2 + r**2)*(-6735*r - 6743*r + 13477*r + 20*r**2 - 3).\nAnswer: 60*r**4 - 3*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -167 divided by 5\nAnswer: -167\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 90 = 2*t + 50, 5*v - 189 = -t. Let k = v - 35. List the prime factors of k\/10 - 1320\/(-25).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5.3. Let g = -4865 + 4865. Which is the nearest to g? (a) 4 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075588 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(76)*1*-5)\/(((sqrt(8) + sqrt(16)\/sqrt(2))*-3)\/(sqrt(2) + -2*sqrt(32))).\nAnswer: 35*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7*l - 196. Let n = 286 - l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 + 536 + 82492*b**3 - 1073.\nAnswer: 82492*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -554, -553, -552, -551, -550?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*m - 472*m + 23 - 6.\nAnswer: -2*m + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20510420 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 565 - 221. Let w(q) = -346*q**2 - 15 + 10*q + 24 + l*q**2. What is w(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -268 + 301. Suppose 0 = -z*v - 6034 + 24283. What are the prime factors of v?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.475684 micrometers in meters?\nAnswer: 0.000006475684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83b0ab (base 15) in base 14?\nAnswer: b90c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5787.73 - 5900. What is m rounded to zero decimal places?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 407972, 815946, 1223920, 1631894, 2039868, 2447842?\n\"Answer: 407974*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4058310 and 2190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 152895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:14 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88720, -87912, -87104, -86296?\nAnswer: -85488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63bb4 (base 12) in base 16?\nAnswer: 200f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = r - 32, 0 = -2*r - 2*x - 0*x + 94. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 19*p**2 - 374*p. Let u(i) = 15*i + 33. Calculate u(s(x)).\nAnswer: 285*x**2 - 5610*x + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.14 - -0.24. Let n = 0.88 + 1.66. Let y = n + q. What is y rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 76.3215.\nAnswer: -228.9645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 1. Suppose 35*y + 3 = 38*y. Let h(n) = -2*n - 27. Let o(z) = -z - 4. Let f(p) = -h(p) + 6*o(p). What is y*f(g) + 3*q(g)?\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*5*(-204)\/(-85).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*m + 6 = 18, 20 = -5*s - 5*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t + 174. Let r(a) = -2*a + 6. Calculate k(l) + 7*r(l).\nAnswer: -l + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/15 - 6\/15. Suppose -d + 4 = 2. Suppose -2*v = -j + 3*j + d, 3*v + j + 9 = 0. What is the second smallest value in -2\/15, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/105 and (2 - 189\/(-6))*(-16)\/(-24).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 66405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = -h, -3*n + 0*n = -3*h + 6. Let t = 2 - h. Let q(v) = 89*v**2. Is q(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n + 4*n - 6*n = 177. Let y be -5 - (2 + -2)\/(-2). Put 7, y, n in ascending order.\nAnswer: y, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 18*v + 3. Let s be d(9). Solve -l + 0 = -s*j - 8, -2*l - 12 = j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 37, -8, 25, -1 in decreasing order.\nAnswer: 37, 25, 6, 5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/24 and -31\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 18 - 7 = 5*a. Solve 2*u - 6 = d, -5*u + 4*u - d + a = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587, 2337, 5249, 9317, 14535, 20897?\nAnswer: 28397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzgzqqfgkgzrqgqrfk. What is prob of picking 2 q, 1 g, and 1 k?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13376 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/((-9)\/(-12)))\/2. Find the third derivative of 3574*k - 3574*k - 31*k**u + 12*k**5 wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:35 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -35*h - 52*h**2 + 17*h**2 + 12 + h**3 - 51. Determine i(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - q = 42. Let v = -76 + 230\/3. Let o = -4.9235 - -0.9235. Sort q, v, -1\/9, o in descending order.\nAnswer: v, -1\/9, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 103360.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.83 + 2.23. Let q = -20.6 - z. What is the smallest value in -0.5, -2, q, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3 + 3)*(-i + 0*i + 3*i + 6*i + 0*i - 5*i + 3*i + 0*i - 2*i + (3*i - 2*i + i)*(-3 + 2 + 3) + 0*i + 0*i + i + 5 - 5 + i - 1 + 1 + 3*i).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -61. List the prime factors of (78\/15)\/(n\/(-175)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744371975.\nAnswer: 5, 109774879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 4*h - 19298 - 19243 - 19303 + 57844.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2362 divided by 15?\nAnswer: -2362\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n**3 + 3*n**2 - n + 1. Let p(i) = 11*i**3 - 4*i**2 + i - 1. Let a(o) = 3*m(o) + 2*p(o). Let l(z) = z**2 - z - 1. Let x be l(-1). Calculate a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 4, k: 2, e: 1}. Give prob of picking 3 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + -8)*2\/1. Suppose 5*i - g*t - 1175 = -5*t, -5*t = -25. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -65*i**3 - i - 1. Let z be w(-1). Let k = -11 + z. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/3 - 4822*i\/3 + 9652\/3 = 0.\nAnswer: -2413, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112775 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*t - 44, 2*b - 2*t = 3*t - 36. Let k(g) = -g + 10. Let p be k(b). What is the greatest common factor of 126 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -428. Let u = b - 276. Which is smaller: u or -1\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214532, 2429050, 3643576, 4858116, 6072676, 7287262?\nAnswer: 8501880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3095696470 and 7?\nAnswer: 3095696477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 3*y**2 + 4*y - 7. Let p be q(3). Suppose -2*d + p*c = 3*c - 46, 3*c - 6 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*u + 15. Suppose d = 3*d - u*k - 20, -d - k = -3. Suppose 20 = d*p + 6*z - z, -16 = -4*p - 5*z. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 316\/316*34\/(-4)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 8*z - 12. Let u be d(-5). Let m(k) = 2*k**2. Let x(q) = -q**2. What is u*m(s) + 8*x(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27913 - 51222 = -95*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pws when three letters picked without replacement from sslptwj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-2*j - 319*j - 210*j - 446*j) + (3*j - 3*j - j)*(-8 + 2 + 7).\nAnswer: 976*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-10)\/8)*(-128)\/(-24) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -2. Suppose -1 = 3*z + t. Let a(w) = -12*w**2 + 5 + w**3 + 4 + 18*w**2 - 2. Calculate a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*m + 12*b - 11*b + 2*b, -76 = -4*m - 2*b for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919584.7m to centimeters.\nAnswer: 91958470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.34 + -3.24. Let g = 1.1 + 5.9. Let n = 7.4 - g. What is the closest to b in 5, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9932 and 1872.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -611344*v**2*w**2 + v**2 - v*w**2 - 3*v*w - 5*v + 256*w - 30 wrt w.\nAnswer: -1222688*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 8*p + 145 = 0, -5*h - 10923*p = -10925*p - 31 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + 55. Let z = 95 - t. Calculate the least common multiple of z and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and -3876206744.\nAnswer: -3876206743.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*g = -1076*g + 396*g + 355*g - 1275 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x = -190*x + 406*x - 2444. Sort x, -17\/3, -0.5.\nAnswer: -17\/3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, i: 3}. What is prob of picking 1 n and 1 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44933 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-30))\/((-36)\/90 + 8\/10). Which is greater: q or -2\/6503?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*i**2 - 2775*i.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {t: 3, b: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a930 (base 14) in base 6?\nAnswer: 5322302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192828 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeoeok. What is prob of sequence ook?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6140763, -6140774, -6140785?\n\"Answer: -11*p - 6140752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -94. Calculate the remainder when 75 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/130)\/((2\/(-8))\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5*u**3 - 125853*o**5 + 8*o*u**3 + 3*o*u - 77*o + 18*u**3 + 2*u**2 wrt o?\nAnswer: 60*o**3*u**3 - 2517060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 2*j + 6. Let t = 21 + -26. Give r(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*j - 29, 5 = -5*s + 2*j + 28. What is the remainder when (-33)\/(-11)*229\/s is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-21)*(-459)\/816)\/((-6)\/(-100)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -22488?\nAnswer: 22489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/917 and 110\/(-28) - (-5 - (1 + -1))?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -49. Solve -3*a + o = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 10 (c) -5 (d) 1.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3329*r - 6928*r + 3471*r.\nAnswer: -128*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + v**3 - 3*v**3 + (-2*v + 2*v + v**2)*(-4 + 4 - v)*(-1 - 3 - 5).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1364 - 8108 + 1744)*(-6*a**5 + 4*a**5 + 4*a**5).\nAnswer: -15456*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 5*h + 10. Let s be m(6). Let y(k) = -k - 5. Let f be y(-13). Is (f\/s)\/2 - -253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*v - 66 - 59, -78 = -2*q - 5*v. Sort q, 1, -2, 4 in descending order.\nAnswer: q, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 63 - 17 - 23 - 19*n.\nAnswer: -19*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259.326 - -0.326. Let r = -261 - g. Which is the nearest to -1? (a) 2 (b) r (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 2.171499443.\nAnswer: 1.971499443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 575, 832, 1069, 1280, 1459?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*h + 5 = 0, 2 = 4*r + 106*h - 111*h. Let c = -92\/7 + 1238\/91. Factor -2\/13 - c*d**2 + 6\/13*d + 2\/13*d**r.\nAnswer: 2*(d - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2252454334 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - 6. What is the second derivative of 0*x**s + 2*x**2 + 0*x + 2*x wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, 2\/7, -1800, 3, -0.3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 12067\/16?\nAnswer: 12067\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d - 51 = 0. Let y = d - -171\/10. Sort y, -4, -0.5 in increasing order.\nAnswer: -4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 80. Let y(g) = -g - 7. Let o be y(-7). Suppose 2*d + 42 = 4*l - 26, o = -4*l + d + 66. Calculate the highest common factor of l and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298229059?\nAnswer: 298229059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1, -5, -35\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctlcttcctltft. Give prob of sequence tccl.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115601542 divided by -446338?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 9. Determine s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14.91788 * -5\nAnswer: 74.5894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i + 1\/8*i**4 + 1\/3*i**3 - 1\/120*i**6 + 1\/20*i**5 + 62*i**2. Give l(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in hours?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + 16 - -126)\/(2\/38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 2 = 6. Let q(t) = -980*t - 3. Is q(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*c - 12. Suppose 9 = z + c*t - 9, 4*z - 52 = -3*t. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7069\/188 + 134\/47. Let y = h - -35. Factor -1\/4*l**2 + 0 - y*l**3 + 0*l.\nAnswer: -l**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 175. Solve 0 = -5*l - m + 6, t = 3*l + 3*m + 2*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Let u = -4.1 - d. What is u rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3105\/167399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 41*q - 1. Calculate p(-11).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*x + 24*x - 783 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26531\/6 - 4411. Calculate the common denominator of g and 67\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2326715 (base 11) to base 4\nAnswer: -33200102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/15 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8132634.\nAnswer: 2, 3, 193, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 67, 82, 97, 112?\n\"Answer: 15*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 + -519. Let g = c + 635. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.4272 + 2.4272. Let y = 8 - 7. Put w, 4, y in descending order.\nAnswer: 4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*2.11\nAnswer: 0.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003468 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/(-8))\/(3\/(-150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983745983 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: What is 793 (base 11) in base 14?\nAnswer: 4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = -3*t, 2*j - 6*j + 3*t = -25. Suppose -9 = j*q + 3, -8963 = -5*m - 4*q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1375*u**4 + 2655*u**4 - 7212*u + 3709*u**4 wrt u.\nAnswer: 59868*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*r + 174 = 0, -8*v = -4*v - 4*r - 144. Let n = -9 - -14. Suppose i = -u + v, 11 = n*i - 4. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*l = 3*l + 1362, 5*l = -2*a + 1350. Let s = 957 - a. Suppose -3*w + 106 = -w - 4*k, 4*w - s = -5*k. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.7 - -82.4. Let u = z - 26. Let l = u - 2.70000037. Round l to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 15*u**2 + 21*u + 17. Let r be o(-9). Suppose 0 = -2*y + 4*y - r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 4\/(6 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1214346682048 + -8\nAnswer: 1214346682040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111100010100010110001 - -10?\nAnswer: 110111100010100010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.54, -5140, -9.\nAnswer: -5140, -9, -1.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) - (sqrt(96) + sqrt(96)*2))*5)\/sqrt(8))\/((sqrt(6912) - (2*sqrt(6912) + sqrt(6912)))\/sqrt(12)).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 7*u = 126 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/48 and (0 + 777\/(-392))\/3.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 + 3)*(55*d**3 - 28*d**3 - 14*d**3) in the form n*d**3 + p*d + y*d**2 + c and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68077350, -68077361, -68077380, -68077407?\nAnswer: -68077442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 7799270?\nAnswer: 93591240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10002?\nAnswer: 2, 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -19*j + 11. Let r be t(-2). Which is bigger: r or 43?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5735 and 620.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-13) + (-186)\/(-26). Let o(p) = -t*p + 8*p**2 - 21*p**2 + 19*p - 4*p**3 + 3*p**3. Let v be o(-14). Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(980) + 3*sqrt(20)*-2)*-4 - ((3*sqrt(500) + sqrt(500))\/(sqrt(100) + sqrt(100) + 3*sqrt(100) - sqrt(100)))**2.\nAnswer: -5 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**2 - 3*a - 4. Let g be u(-2). What is the hundreds digit of g\/(-3)*234\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(2 + (1*sqrt(1216)*3*-4)**2).\nAnswer: 350217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*f - 26*f - 1704. Let i = f + -421. Solve -11 = i*t + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2033*u**2 - 2477*u**2 + 4509*u**2 + 1 - 1.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 14*r**2 - 20*r + 11. What are the prime factors of w(9)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkxkkxkk. Give prob of sequence xx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(133)*1 - sqrt(133)))\/(((sqrt(70) - sqrt(70)*-1) + sqrt(70))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*r + 70, 5*x - 3*r - 70 = 2*r. Suppose -4*o + 0*o + 46 = 5*m, 5*m - 4*o = x. Suppose -7 = -b + m. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -83\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/((285*12\/(-540))\/((-38)\/12))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 2)*7\/14. Differentiate -4 + 10*u**2 - k - 1 with respect to u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 12 (d) -2\/137 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 - 136 = -5*y - 249 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/95 and 27\/10475260.\nAnswer: 199029940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:52 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:06 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -83.\nAnswer: -59\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n + 147*n - n + 2464 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/60 - 327*n**2. Let y(t) = t + 1. Let f(c) = -21*c - 1. Let q(z) = f(z) + 4*y(z). Give p(q(r)).\nAnswer: -289*r**2 + 102*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5\/2 + 925*x**4\/2 - 155540*x**3 - 34695110*x**2 - 994502080*x + 2129021440 = 0?\nAnswer: -208, -37, 2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (14\/(-18) + 1 + -1). Which is the second biggest value? (a) f (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 + 82. Let s = -93 + r. Let i be 2*(-3 + 42\/15). What is the second smallest value in i, 0.1, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -56657659536364\nAnswer: 56657659536363.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2\/61, -91.4, 9\/7 in ascending order.\nAnswer: -91.4, -20, 2\/61, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2444.5 and 4?\nAnswer: 9778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32121680*i**3*l**3 - 3*i**2*l**2 + 38*i + 4*l**3 + 1173483*l**2 wrt i?\nAnswer: -192730080*i*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 22*h + 17*h - 600 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -145, -237, -281, -277, -225, -125?\n\"Answer: 24*m**2 - 164*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 6. Let r be c(3). What is the remainder when 16 + 1 + r + -3 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9728 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13068582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5. Let i = 0.87 - 0.17. Let j = i - v. What is j rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-3)\/((-3)\/(-1)). Suppose -i*k + 32 = -4*d, 1 + 16 = -2*k - 5*d. Solve -g - k*u = -13, -2*g + u - 14 = -u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.027 (b) 5 (c) 228 (d) 4 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119762 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2 + 365060*s + 365062 = 0.\nAnswer: -1, 182531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t - 33 = 26 - 59 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3337 is divided by 119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1168*r**3 - 1160*r**3 + r + 2 - 3 - 13*r**2 to the form i + c*r + x*r**2 + q*r**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 258\/43 + -2*1\/3*72. Put s, 2, -2, 5, -5 in descending order.\nAnswer: 5, 2, -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, a: 8, o: 4}. Give prob of sequence ff.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:25 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.9385 * 2.188\nAnswer: 2.053438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 3*d**4 - 1171*d**2 + 2 + 3*d**4 + d**3 + 1177*d**2 - 10*d to s*d + w*d**3 + b*d**4 + c*d**2 + n and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, -41, -48, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12*(12 - 8) - (0 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((15\/2)\/(-3))\/(3\/(-162)). Suppose 0 = 9*c - 4*c - k. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + v + 52, -2 = v. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 7 - (28\/7 + 8). Solve o = 4, f = -3*c - 7*o + 3*o + 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -17*l - 87. Let n be y(-5). Let j be ((-15)\/(-10))\/(-1)*n. Solve 0 = 2*h - 2, 5*d + j*h + 7 = -0*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/5 - 46*i**4\/5 - 384*i**3\/5 - 1296*i**2\/5 - 864*i\/5 + 2592\/5 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/11 and -43\/47775727?\nAnswer: 525532997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -59657?\nAnswer: -59657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11201600 and 266400.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -32 (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 9. Let h be d(-7). Suppose -w + 3*j = -45, 32 - 352 = -h*w - 4*j. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8576, 17031, 25486, 33941?\n\"Answer: 8455*q + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*j**2*l**3 + j**2*l**2 + 53*j*l**3 + 226*j*l**2 - 6*j*l wrt l?\nAnswer: 288*j**2 + 318*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l - 94*l = -26346. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 12351 = -55615. What is the tens digit of x\/(-40) - (-4)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*(-10)\/25. Suppose 2*x = l + 25. Let n = -22825 - -22864. Calculate the highest common factor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.52 + -0.9. Let y = m + 0.53. Round y to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k = -268028 - 39062. What is k rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 5) + 6 - (-6 - (-11 + -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.6. Let i = 4.97 - -0.03. Let g = -3263\/109536 - 93\/5216. Sort i, g, m in increasing order.\nAnswer: m, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzgzpzgsfzzz. What is prob of sequence gsfp?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0 - 10. Let f be ((-40)\/24)\/((-2)\/6). Suppose 42 - f = u - 4*i, -2*i = b*u - 185. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 3*o + 1. Suppose -4*r + r = 0. Suppose 5*d - 4*d + 2 = r. Let b be n(d). Solve b*x + 7 = -8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 5721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 742*i - 49729. Determine d(67).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0*t**2 - 2*t**2)*(2*t - 2*t - 2*t) + 3*t**3 - t**3 + 0*t**3 + 171*t - 210*t + t**2 - 23*t**3 + 24*t**3.\nAnswer: 5*t**3 + t**2 - 39*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*c = -97 - 447, -2*x + 512 = -3*c. Let b = x + -259. Solve 2 = -2*a + 3*f, -6*a = -a - b*f - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118144 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21140 - 86638 = -6*a. What are the prime factors of a?\nAnswer: 11, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - y**3 + 0 + 5*y**3 - 4*y**3 + 0*y**3 + (-2*y**2 - y**2 + y**2)*(y - y - 2*y) + y**3 + 0*y**3 - 3*y**3 + 1580*y**2 - 67*y**3 - 1580*y**2.\nAnswer: -65*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 5, x: 6, l: 5, n: 1}. Give prob of picking 1 n and 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5535 - -2) + (-16)\/56*-14. Which is smaller: 5544 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78343 divided by 78343?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/8, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.0816 or 1\/2?\nAnswer: 2.0816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Let o(g) = -9 + 3*g**2 - 51*g + 95*g - 53*g. Let n be o(-1). What is the smallest value in s, 3.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 7) + (-4 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*t**2 + 654928 - 654928.\nAnswer: 286*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*g + 0*g - 7*g + 2)*(2*g + 0*g + 600 - 309) as u + f*g**2 + h*g and give u.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nree when four letters picked without replacement from {r: 3, e: 2, n: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-7\/6))**(-3))**(-12\/13) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 3*x**2 + 32 - 42 to the form q*x + h*x**2 + m and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y - 1 - 65*y - 25*y**2 + 34*y as n + t*y + c*y**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008) + sqrt(1008))*6.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 3*o - 1. Let q be d(4). Suppose 5*m = 2*x - 208 + 58, q*x = 3*m + 216. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*l - 62, 0 = j - 2*l - 0 - 21. Suppose -j*k + 26*k = 0. Which is smaller: -2\/787 or k?\nAnswer: -2\/787","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1655025 and -0.2.\nAnswer: 331005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6989 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77\/22*29640\/42?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -123 + -3?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*b + 3*k - 27, -5*b - 4*k + 40 = 0. Let y = 6 - b. Suppose 0 = 2*x - 3*s - 82, -y*s + 89 = 3*x + 2*s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u - 3*u)*(-392 - 25*u + 392)*(8 + 1 - u**3 + 1).\nAnswer: -50*u**5 + 500*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -29*c**4\/4 - c**3\/2 + 85*c**2\/2 - 2670*c. Find the second derivative of o(d) wrt d.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -170977458, -341954915, -512932372, -683909829, -854887286?\n\"Answer: -170977457*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(13) + 1))**2 - (sqrt(468) + -5*(1 + sqrt(468))).\nAnswer: 474*sqrt(13) + 3155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miwrftw. What is prob of picking 1 i, 1 f, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*w - 12, -2*w = -3*z - z - 30. Is 3 a factor of (-2)\/3*276\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-3))\/((-23)\/69). Solve a = 5*c - 10, 4*a + t = c + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*d + 26 - 57, 4*h + 2*d - 28 = 0. Let o = -8 - -4. Put 16\/5, o, -1, h in increasing order.\nAnswer: o, -1, h, 16\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 517143231 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -12*d + 490. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16542*0.4.\nAnswer: 6616.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 99, 220, 389, 606?\n\"Answer: 24*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 0. Suppose 3*d + d = i. Suppose 5*w - 3*y - 42 = 0, d = -3*w - y + 11 + 17. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13 = 4*a, -4*a + 6*a + 4 = 0. Suppose 26 = -g*t + 116. Suppose 40 = 4*u - 4*z, u - 10 = 3*z - 4. What is the highest common factor of t and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 974665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 100*k - 92. Let a = 21 + -12. What is the smallest common multiple of u(49) and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 at least as big as 898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*u**2 + 4*u**2 - 4*u**2 + u**2 - u + u + 157*u**2 - 1415 + 1415 + (3*u + 0 + 0)*(-2*u + 2*u + u).\nAnswer: 151*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1629, 1609, 1589, 1569, 1549?\n\"Answer: -20*l + 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8596 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 - -148. Suppose 10*l = 11 - p. Solve 4*m - 3 = l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 30. Let c(g) = -g**2 + 5*g - 1. Let a be c(4). Let z be (-2)\/(-12) - a\/18. Solve 0 = -f - 5*t - q, z = -2*t - 2 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121249*c**3 - 242422*c**3 + 121171*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kook when four letters picked without replacement from {e: 5, k: 4, o: 8}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 132*i - 3*i + 6*i + 11*i + 122*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66513 to two decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1374313 (base 8) to base 5.\nAnswer: 100010441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182125457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 2*n = 37, -2*n = c - 17. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -11 + 53 + -62 - -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 39.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/2 - 3*g**5\/5 - 3*g**4\/2 + 2*g**3 + 3*g**2\/2 - 3*g - 7. Factor l(k).\nAnswer: 3*(k - 1)**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 3*i - 3. Let s = 13 + -10. Suppose 4*g = 5*d - 21, s*g - 4*d + 11 + 6 = 0. What is the smallest common multiple of g and v(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t**4 + 11*t**4 + 108*t**4 + 34*t**2 + 5*t**4 - 34*t**2 + (2*t**3 - 5*t**3 + 4*t**3)*(-2*t + 3*t - 2*t) - 2*t**4 + 2*t**4 - 2*t**4.\nAnswer: 107*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 180 = 6*x - 170 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/7 + 60 + -53\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 225*m - 11. Let h(j) = -41*j + 2. Let y(l) = 11*h(l) + 2*q(l). Let i(s) = 2*s**2 + 220. What is y(i(g))?\nAnswer: -2*g**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 580*b**3 + 11*b**2 + 62 wrt b?\nAnswer: 3480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0004 (b) -6 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -512, -316, -120, 76?\n\"Answer: 196*u - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0)*-4 + (sqrt(45)*1)\/sqrt(9) - (sqrt(240)\/(sqrt(4) + sqrt(4) + 3*sqrt(4) + sqrt(4)))\/sqrt(12))**2.\nAnswer: 1805\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 843238 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*y**3 + 197*y**2 - 14220*y wrt y.\nAnswer: -894*y + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28f98 (base 16) in base 12?\nAnswer: -81160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32187689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**7\/315 + f**6\/180 + f**5\/90 - f**4\/36 - 9*f**2\/2 + 8*f. Let t(p) be the first derivative of a(p). Factor t(w).\nAnswer: -2*w*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, g: 5, y: 7}. What is prob of sequence yy?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -89, -173, -257, -341, -425?\n\"Answer: -84*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 30*z - 3. Let y(s) = 15*s - 1. Let w(t) = -2*c(t) + 5*y(t). Let h be w(1). What is the highest common divisor of h and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 124881116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3390, -13188, -29498, -52320, -81654, -117500?\n\"Answer: -3256*y**2 - 30*y - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 1082 = -3078. What is g rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0 + 0*x - 4*x**2 + 1\/30*x**5 + 0*x**4 + 0*x**3. Let o(g) = 3*g**2 + 5*g**2 - g**2. What is b(o(n))?\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 20 = -4*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98431747.\nAnswer: 98431747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 1. Let j(k) = 2*k - 10. Let t be j(7). Let w be 20\/6 + (-8)\/24. Put s, w, t in increasing order.\nAnswer: s, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-1)\/(3 + -4). Let b be (h + 2)\/(2 + -1). Suppose 0*k + 30 = b*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2312 - -10?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.02 - -1. Let s = 4893 + -4895. What is the nearest to i in 3\/7, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -2\/107, -0.3, 0, -4, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 - 3*z. Let d be 12\/(-5) + (-6)\/(-15). Let y be c(d). Suppose y - 3 = -x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, 1, 47 in ascending order.\nAnswer: 1, 5, 23, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**7\/840 + y**5\/240 + y**2\/2 - 3*y. Let c(t) be the first derivative of f(t). Let c(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-19)))\/(n\/((n\/(n*n\/n**16*n))\/n*n)) assuming n is positive.\nAnswer: n**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1970 divided by -394.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16699880.93 rounded to the nearest one thousand?\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*u - 5 - 5 = 0, 0 = -u + 5. Suppose -3*p + 160 + 14 = r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0\/(-2))\/(-2). Let a(c) = 2 - 2 - c**p - 4 - 6*c. Let w be a(-5). Solve -w = -x + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3128 - 2993.3. Let x = -5.7 + p. Let r = x + -129.0328. What is r rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:00 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36b921 (base 13) to base 12\nAnswer: -5327a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**4\/12 - 18*p**2. Let x(o) = -12*o. Determine x(s(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1888\/12 - 1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 times -305.43?\nAnswer: -95294.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 18 = -5*j, 4*j - 5*q - 8 = 3. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4880.7168 from 0.1.\nAnswer: -4880.6168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k - 4. Let w = k + 6. Solve -2 + 4 = -w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enyjyn. What is prob of sequence ye?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 - v**3 - v**2\/2 - 2*v. Let a be u(5). List the prime factors of -5 - -3 - 1*a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -9 + 30 + -29?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 418798103 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:01 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88945.\nAnswer: 5, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15928 and 29656?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -17. Calculate the highest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/24 + 29*k**5\/45 - k**4\/2 - 16*k**3\/9 - 1672*k**2. Suppose c(i) = 0. What is i?\nAnswer: -8, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -300.9 + 301. Let x = 0.04 + 0.11. Which is the biggest value? (a) k (b) -5 (c) -1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208 or 1870\/9?\nAnswer: 1870\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c + 12 = 0. Suppose c*r - 16 + 1 = 0. Put 3\/4, 0.07, r in ascending order.\nAnswer: 0.07, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + -108.97. Let i = 107.999846 + n. What is i rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21375)\/(-54) - 10) + (-1)\/(-6). Let q = -429 + k. Which is the biggest value? (a) 5 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 27, 34, 45, 60?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.023 - 0.093. Round h to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02646 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/5*(-10)\/2. Let l(h) be the second derivative of -h**3\/6 - h**2\/2 + h. Is l(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/14)*v**(-6))**(-1\/30)*(((((v\/v**7)\/v)\/v)\/v)\/(v**(-6)*v))**(-1) assuming v is positive.\nAnswer: v**(1763\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.56, 3\/5, 2\/3?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8729 - -10130. What is the remainder when m is divided by 276?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5642450207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(2) + -2)) + -4 + -1.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*p - 0*x + 15, 4*p - 2*x - 18 = 0. Solve 3*i - i = p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43689 - 43833. Is -30 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, b: 10}. Give prob of picking 4 b.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/((-21)\/9) + 3*2601. Round t to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.76 - 0.24. What is the third biggest value in x, 0, 0.2, 0.16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:24 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*((4*(sqrt(88) + (sqrt(88) - (-1*sqrt(88) - sqrt(88))))*-5)\/(sqrt(88)\/(1*sqrt(176))) + 5).\nAnswer: -1280*sqrt(11) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 3*r - 1, a + 5*r + 13 = 0. Suppose a - 6 = m. Let b(z) = -2*z - 5. Give b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2\/11*t**2 - 32\/11*t + 72\/11 = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50454 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35352 divided by 976\nAnswer: 4419\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3306*a**2*n**3 + 375*a**2*n**2 - 9051*a*n**3*t - 3530*a*n**2*t - 6*a*n*t wrt n.\nAnswer: -19836*a**2 - 54306*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2) + ((-135)\/(-12))\/3. Suppose -5*s + 12 = 5*x - 3, 2*x - 12 = -4*s. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from off. What is prob of picking 1 o and 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(8 + -8)\/(4\/(-2)). Suppose -24*b + 10728 = -z*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 7) to base 3.\nAnswer: -11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-12)*-9 + 4 + 4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 4*p + 109, 0 = -4*i - 3*p + 398. Let m = i + -66. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*n**5 + 5*n**3 - 1325*n wrt n?\nAnswer: 1900*n**3 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i)**(-6\/29)*(i*(i*i**(3\/16)\/i)\/i)\/(i\/(i*i**24*i)))**(-3\/7) assuming i is positive.\nAnswer: i**(-36213\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**3 + 7*c**3 - 5*c**3 + (0*c - c + 3*c)*(-4*c**2 + 3*c**2 - c**2).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 294 = 273. Suppose 5*h = -x + 357, t = h - x + 6*x. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48462570 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - (-112)\/(-51) - 16\/4 and 6\/15 - 446\/(-110).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 80. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19740802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 620556421 a multiple of 1636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 - -7.59999921. Round q to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a**2 + 2*a + 6. Let b(m) = 6*m - 28. Let k be b(4). Let l be z(k). What is l rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7371)\/195 + 39)\/(1380\/(-275) - -5)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 7223786828*v**2 + 7223786834*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1334 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 11. Let x be j(10). Suppose -x + 7 = -3*i. Which is the smallest value? (a) 0 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 - 14*n**3 - 6409*n**2 - 68554*n - 184920 = 0 for n.\nAnswer: -67, -6, -5, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6286 times 0.26\nAnswer: 1634.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7419 + 7419. Let b(t) = 12*t + 67. Calculate b(z).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 354 + -357. Put r, -63, 1 in increasing order.\nAnswer: -63, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 19*i - 1287. Determine f(81).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 0*(-2)\/8 + 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639\/13 greater than -149.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -23*r + 56 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - p - 3*p**4 + 3*p**4 + (-4*p**2 + 0*p**2 + 2*p**2)*(0*p**2 + 12*p**2 - 2*p**2) - 20*p - 6*p**4 + 20*p.\nAnswer: -25*p**4 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -0.22, -1, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m - 10. What is the tens digit of 130\/15*(-3)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*24)\/4 - 3. Let d(z) = z**3 - 2*z**2 - z - 4. Let s be d(3). Let 2\/3*f**p + 2*f + 2\/3 + 2*f**s = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 81*t - 81*t + 36*t**3.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4855 - -4860. Solve j*y - 4*t = -20, -y + 4*t - 2 - 18 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 12 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*t*z**2 - t*z + 6670*t + 511*z**2 + z - 3545 wrt t.\nAnswer: -164*z**2 - z + 6670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 75*h**2 + 40*h - 29. Let b(w) = -w**3 - w**2 - w + 1. Let m(q) = -6*b(q) - u(q). Is m(38) 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 {m: 1, e: 1, v: 5, h: 7, u: 2, a: 1}. What is prob of sequence ae?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3 - (-15)\/6). Let t = -1689\/2 + 45457\/54. Find the common denominator of (4 + s)*(-16)\/18 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15075526 = 7*p - 3264474. Round p to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c8c (base 14) in base 4?\nAnswer: -2213110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -163, -399, -729, -1153, -1671?\n\"Answer: -47*d**2 - d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*f + 9 = -0*f, 3*q + 4*f = 9. Suppose -4*i + q*a = -0*i + 592009, 444003 = -3*i + a. Round i to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2\/3, -3\/2, -5, 2\/11, 1.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132)*-2 + 5*sqrt(132)*2)\/(5*(sqrt(300) + (sqrt(300) - ((2*sqrt(300) - sqrt(300)) + sqrt(300))*-4))))**2.\nAnswer: 396\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 4*g**2 - 4*g - 6*g**2 + 1 - 6*g. Is v(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**3 + 0*a + 27*a**3 + a in the form t*a**2 + h*a**3 + y + s*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let w(k) = -9*k. Does 14 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262*x**5 + 1935*x**2 wrt x.\nAnswer: 15720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/14*14\/4. Let u(j) = 4*j**2 + 2*j + 1. Let n be u(2). Let k = -17 + n. Solve -k*y + 10 = -d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2709727.3.\nAnswer: 270972.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 5*a**3 + 31*a**2 + 56*a + 12.\nAnswer: -(a - 3)*(a + 2)**2*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 8*s - 6*s + (1 - 4 + 4)*((-s + 0*s + 3*s)*(-3 - 1 + 6) + s + 4*s + 10*s) to w + x*s and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 11363, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w - 6265 - 1990. Let z = w + 637. Solve -2 = -z*y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 15}. What is prob of sequence vz?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -72 (b) -4 (c) -5 (d) -2\/17 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.5*-272.\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 483 and 486 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22\/3 - 1\/3*n**4 - 7*n + 23\/3*n**2 + 7*n**3 = 0. Calculate n.\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5446 and 15138713.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_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: Simplify (2*sqrt(224) + sqrt(224))\/(-4*sqrt(2)*-2) + -1*(-1*sqrt(175)*-3 - (1*sqrt(175) + -1)**2).\nAnswer: -47*sqrt(7)\/2 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 204*(-6)\/(-15)*(-45)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 177459, 177498, 177537, 177576, 177615, 177654?\n\"Answer: 39*p + 177420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/7)\/((l*(l**(3\/7)*l*l)\/l*l)\/l))\/(l\/(l*l\/l**(-2\/11))*l*l*l\/l**3))**(-2\/73) assuming l is positive.\nAnswer: l**(214\/5621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300 - 300 - z**2 - 12*z)*(4*z**2 + z**3 - 4*z**2).\nAnswer: -z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1520389, 1520410, 1520447, 1520506, 1520593, 1520714, 1520875, 1521082?\n\"Answer: w**3 + 2*w**2 + 8*w + 1520378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 56*b + 28. Let v be w(4). Let r = 201 - 299. Let f = r - v. Calculate the highest common divisor of f and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*c**2 + 23*c**2 - 28*c**2 in the form i*c**2 + k + l*c and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -7, -9, -11, -13, -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6)\/(3\/(-16)). Let r = t - 14. What is the units digit of r\/(-30) + (-84)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1435 + 104?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*o - 47*o + 86*o - 52 = 3*h, -8*h + 2*o = -2*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492 and 984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568 and 10.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80487795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - g = -11, -g = 423*c - 426*c + 1. Let t(d) = 8*d**3 + d**2 - 3*d - 2. Let m(z) = 9*z**3 + 2*z**2 - 3*z - 3. Give c*m(n) - 4*t(n).\nAnswer: -5*n**3 + 2*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 3*o**5\/80 - o**4\/8 - 17*o. Factor p(z).\nAnswer: 3*z**2*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 7*m**3 - 32)*(3*m + 357043 - 357084 + 0*m).\nAnswer: -21*m**4 + 287*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32745885 to the nearest integer?\nAnswer: 5722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98 (base 11) to base 8.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {v: 11, p: 1, e: 2, c: 1, t: 1}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30123240311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 - -62. Let j = 364 + s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 0.5.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a - c, 0 = 4*a + 4*c. Let w be a\/((-3)\/((-3)\/2)). Solve -6*d + 3*d + 3*p + 3 = 0, w = 2*p + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhcc when four letters picked without replacement from yyhcyhhycy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 2*y - 3. Let t(m) = 5*m**2 - 2*m - 4. Let d(w) = 6*i(w) - 5*t(w). Let r = 42 + -46. Calculate d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/(-8) + 18\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.240783l?\nAnswer: 240.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 694, 1120, 1546, 1972, 2398, 2824?\nAnswer: 3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwhih. What is prob of sequence mhwh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 22*a**2 - 25*a - 26. Determine d(-23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 - -0.077?\nAnswer: -140.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5367155, 10734315, 16101475?\nAnswer: 21468635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/18*(-9)\/(-10). Which is bigger: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.93 - 23. Let g = o - -15. Put -2, -1, g in descending order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -122.\nAnswer: -122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5983614 and 81.\nAnswer: 53852526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 10*s - 30. Let a be d(13). Suppose -q - 29 + a = -3*y, 0 = 4*q - 4*y + 112. Let o = q + 38. Calculate the least common multiple of o and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-54)\/18)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 4842)\/(-6 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a. Let o(p) = p**2 + 9*p - 9. Let m(i) = -i**2 - 4*i + 4. Let h(u) = -9*m(u) - 4*o(u). Determine h(k(v)).\nAnswer: 125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2. Let a be b(-1). Suppose -133 = 7*k + 12*k. Put a, 2, k in increasing order.\nAnswer: k, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + j + 0*j + 0 - 1. Suppose k = 4*k - 15. Let m be q(k). Calculate the highest common divisor of 84 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**7\/2520 - 5*f**4\/24 - f**2. Let c(z) be the second derivative of p(z). Let a(x) = -7*x. What is c(a(o))?\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4022\/5 - 804. Which is the fourth biggest value? (a) 3 (b) 5 (c) f (d) -0.005\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, 1\/6, 3 in increasing order.\nAnswer: 1\/6, 10\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 268.00619 - 268. What is l rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1, 0.46, -3\/4, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 11622 and 11605 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 16*c**5 + 19012*c**4 - 71488*c**3 + 38156*c**2 + 14304*c = 0?\nAnswer: -1192, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46682.38l?\nAnswer: 46682380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068078 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5289751.461 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -438*v**2 - 2*v - 503 wrt v?\nAnswer: -876*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 + 523 = -93*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/7 + 283284*d\/7 + 849843\/7.\nAnswer: (d + 3)*(d + 283281)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(200)*6 - (6*(1*sqrt(200) - sqrt(200)) + sqrt(200))**2.\nAnswer: -200 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -71*c**4\/24 - 7*c**3\/6 - 3*c**2 - 7. What is the first derivative of t(m) wrt m?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2818 (b) 6\/7 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:17 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32178.79986 + -32178. Let x = -0.21 + -0.59. Let z = x + q. Round z to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 13) in base 16?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82025.92 litres?\nAnswer: 82025920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**2*t**2 - 16*p**2 + 5*p*t**2 + 8*p wrt p?\nAnswer: 10*t**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54712 - -54708) + 1 + 0 + -1 + 2 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/440*10*12\/15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (5 + ((sqrt(52))**2 - sqrt(13))*4)*-6.\nAnswer: -1275 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 716 - 684. Calculate the highest common factor of 864 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (18 + -17)) + (28 - 2) + (-1432)\/143?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16259\/30 - -542. Let l(x) be the third derivative of 0*x - 1\/24*x**4 + 0 - 1\/6*x**3 + 7*x**2 - v*x**5. What is l(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425584 and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 4. Let t be n(4). Let m be -10 - t - -1*1. Let w(f) be the second derivative of -f**3\/6 + f**2 + f + 3655. Calculate w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 20\/582241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15306 divided by -2028?\nAnswer: -2551\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 0. Let o = -11 + 13. Let s be o\/(-3) + 12\/(-36). Put m, s, 2 in ascending order.\nAnswer: s, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 2, k: 1, w: 1, b: 2, j: 1}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16 + -3 + -8 - (-1385 + 4). What is the greatest common factor of 28 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w + 206*w**2 - 206*w**2 + 6*w**5 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22118 - -24079. What is the highest common divisor of v and 1219?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -37, -84?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52278 and 1146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146082358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/494 and -1\/39140?\nAnswer: 508820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let d be -13 - w - (4 - 3). Let j be (-24)\/(-5) - 3\/d. Solve 0 = -p + j - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 + -9) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -13*y - 1. Let p be b(-12). Let v = p - 93. Suppose 3*g = m + 59, -4*g - m - m + v = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110*a = -1107*a - 36. What is the highest common factor of 1128 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-105)\/10))\/(5\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h**3 - 39*h**3 - 1 + 8*h - 7*h + (-h**2 + h**2 + h**3)*(1 + 0 - 3) as i*h**3 + n*h + p + m*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 16\/3*w**2 + 0 - 8\/3*w**3 + 1\/3*w**4 + 0*w = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1052*i**2 + 35*i**3 + 2690*i**2 - 1638*i**2.\nAnswer: 35*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 93 (b) -0.01 (c) -3\/7 (d) 2\/7 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 2*w = -12, -2*v + 15 = 5*w. Suppose 0 = -u + v - 2, z - 20 = -3*u. Let f = z + -9. Solve 0 = -f*r + 2*i + 4, -3*r - 1 = 4*i - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-61273.\nAnswer: -1041641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -178, -186, -194, -202, -210, -218?\n\"Answer: -8*d - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2330*f = 294*f - 85512 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 235?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*d - 8*d, -4*d = 4*f - 20. Solve 5*q + 0*k = -k + 28, f = 4*q + 3*k - 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1193425990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1278625, -1278623, -1278621, -1278619, -1278617, -1278615?\n\"Answer: 2*i - 1278627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 24*y - 90. Calculate d(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 75755 divided by 695\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let k(r) = 49*r + 1. Let c(g) = 2*j(g) + k(g). Let d be c(-1). Let b = -27 - d. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101111100101?\nAnswer: -101111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -26. Suppose -5*i + 60 = r, -3*r - j = -0*i - i. Suppose 0 = -4*o + 4*h - 4, 5*h - i = -3*o + 4*h. Solve 4*a - 2 = -2*l, 3*l + o = -4*a - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 11938000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3945, -3933, -3905, -3855, -3777?\nAnswer: -3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most 39\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h - 2*h - 0*h + 8064. Is h bigger than 672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 369 = n + 2*m + 351, 2*m - 4 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1112583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 389\/5 <= 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let o = -482\/1125 - 1\/7875. What is the third biggest value in m, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491.368336 rounded to the nearest 10?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9331 and 3311?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199604055*c**5*j**2*t + 1857551*c**2*t + 2*c*j**2*t + j**2*t wrt c?\nAnswer: -11976243300*c**2*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95038 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -45*z**4 + 1577150*z**3 - 13791874705*z**2 - 473825560860*z - 104613471540 = 0.\nAnswer: -34, -2\/9, 17541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 13. Let n be 30\/40 + (-5)\/l. Let j = -2.7 + -0.3. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-65294)\/8*(-21 + -5 + 22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 2*i - i)*(-3 + 3 - 1)*(17*i - 23*i - 31*i) as w*i**2 + t*i + u and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(891) - ((sqrt(891) + 1 - sqrt(891)) + -1)) + 4*1*sqrt(891)*2.\nAnswer: 4 + 81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 504.08 - -10.92. Let w = q + -515.00000303. Round w to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25 + (-6)\/(-3))\/(-1). Let c = k - -7. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51884050 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-204))\/(12\/2)*-6.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 124 = 4*z, -15 = p - 4*z - 53. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -453, 0, -4, -1 in ascending order.\nAnswer: -453, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let g(z) = -6*z. Let q(j) = -10*a(j) - 3*g(j). Let u(n) be the third derivative of n**4\/8 - n**3\/6 - 4*n**2. Calculate q(u(m)).\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 202 - -620c?\nAnswer: 640e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*j - 38*j - 33*j - 33*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j + 5*w - 24, -2*w - 3 = -3*j. Let t(k) = 38 - 38 - k**j. Let i(u) = -2*u**3. Give -4*i(o) + 6*t(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/24 + 91*o**3\/6 - 31*o**2. Let n(g) = -g. What is b(n(k))?\nAnswer: k + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -21*g - 5*a - 6, -g + 2*a + 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 3:23 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-6))\/((-3)\/(-9)). Solve -4*a + d = -9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6 - 8*y + 4 + 5*y**2 - 5 + y**3. Let v be g(-6). Let i be v\/(-2)*1\/(-5). Which is smaller: i or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6532625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 + 61*o - 3 + 223*o.\nAnswer: 284*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 1130527442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 49.8.\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(1\/2*1*104). Is a smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0571 + 0.0271. Which is the second smallest value? (a) 0.077 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p + 23498 = f, 0 = 3*f + 4*p - 70542. Suppose -i - 5*s = -7528, 8459 - f = -2*i - 5*s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmzmzzmmmmmmm. What is prob of sequence zm?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45554 - 31402. List the prime factors of v.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 + -20.8.\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -c + 4*v, 4*c - 3*c - 86 = v. What is the remainder when c is divided by (18 - (-1 - 2)) + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*j + 33492 - 10882 = 360*j for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1020*i**2 - 16461*i + 2256.\nAnswer: 3*(i - 16)*(340*i - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 0, 2, 5, 578 in ascending order.\nAnswer: -5, 0, 2, 5, 9, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let o(r) = -17323275*r**2. Determine o(i(y)).\nAnswer: -17323275*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)\/(0 - -1) - -1. Let y be (-98)\/42*12\/(-14). Put y, -4, -22, o in descending order.\nAnswer: y, o, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -4\/3 in decreasing order.\nAnswer: 1, -4\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-16))\/((-10)\/(-360)). Solve -4*w = 5*w + j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 89 + 103 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (-10)\/4 - (-117711)\/82 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652670507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 + 23*v)*(3*v + 0 + 0).\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119858165*d - 27470358 wrt d?\nAnswer: -119858165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -30, 5, 4, -519 in increasing order.\nAnswer: -519, -30, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.07 - 0\nAnswer: -1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = -n, -23 = -i + 3*n - 8*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w - 30. Let m be v(8). Suppose -4*j = 3*g - 1 - 3, g - m*j = 8. Find the second derivative of 7*c - g*c**2 - 4*c + 21*c wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/4 and (-3274)\/2766 + 1428\/1224.\nAnswer: 5532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -9 - 8) + 10 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*o - 587 + 587 + (-3 + 5 - 4)*(-2*o - o + 4*o) + o - 1 + 1 + 4*o + 3 - 3 + 2*o + 3*o - 1 - 3*o.\nAnswer: -26*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*m = 20. Let s(h) = -11*h**2 - 10*h**2 + 21*h**m - 8*h**2. Let x(t) = -3*t. Calculate s(x(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20211300 (base 4) to base 2\nAnswer: 1000100101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - ((sqrt(3)*-2)**2 + 5) - (sqrt(3) + 0 + 3)**2.\nAnswer: -29 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.06 + -0.06. Let s = 3.2 - c. Round s to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/6 - 189*p. Let a(r) = -3*r**2 + 1. Give z(a(y)).\nAnswer: 18*y**4 - 12*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 123. Let w(t) = 4*t + 127. What is 3*a(g) - 4*w(g)?\nAnswer: 2*g - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 6*n**2 + 8*n + 3. Let l be m(-5). Suppose -11*g = -15*g + l. Sort g, -3, -1, -2.\nAnswer: -3, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + -2548?\nAnswer: -2598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -409245000 to the nearest 1000000.\nAnswer: -409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(4\/19)*(s*s**(-1))\/s**(-8) assuming s is positive.\nAnswer: s**(768\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -68111 divided by 2?\nAnswer: -68111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - j + 4*j + 2 - 2 + j - j - 2 + 2 + (3 + 2 - 3)*(3*j - j + 0*j) + 2*j + 1 - 1 + (-3 + 0 + 2)*(3*j - 2*j - 2*j) - 2*j + 1 - 1 - 12 - 8*j + 12.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*n - 5*k + 8, 5*n - 5*k + 20 = 0. Let s = 1 + n. Calculate the remainder when (2\/s)\/((-4)\/126) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243374501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*f = 179, -7*f + 141 = 4*k - 6*f. What is the derivative of -24 + 2*m**4 - k*m + m - 12 wrt m?\nAnswer: 8*m**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((15390\/75)\/(-18))\/(3\/(-125)). What is the highest common factor of 1140 and f?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {v: 13, d: 3, l: 3}.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -630513.\nAnswer: -630515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*p**4 + 308*p**3 - 827*p**2 - 510*p - 72 = 0.\nAnswer: -4, -3\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100000100?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**5\/20 - n**4\/16 - n**3\/12 + n**2\/8 + 16. Suppose v(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 15. Let p be h(-7). Let r(u) be the second derivative of u**4\/6 - 2*u**3 - 13*u**2 + 4*u + 32. Calculate the remainder when r(p) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 2, b: 1}. Give prob of picking 1 h and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 43, 93, 151, 211, 267?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmn when four letters picked without replacement from {n: 15, m: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*g + 669*g - 2522*g + 1 + 668*g + 653*g - 1.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1757 (base 16) to base 8\nAnswer: 13527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245131 is divided by 414962.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.655 + 2.632. Let f = 1297 - 1297.677. Let m = f + g. Round m to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*s + 3*v - 10, -5*v = 3*s - 2. Suppose -4*k = -4*n + 28, 4*k - 15 = 2*n - 39. Let z = s + n. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-9)\/(-105))\/(236\/413)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 941? (a) -1\/4 (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b + 23*b - 15*b. Let i be -6 - ((-4)\/2 + 2). Let r = 12 + i. Determine v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-207 + 208).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 7*y**3 + 2*y**3 - y**5 + 2*y**2 + 7*y**5 - 4*y**5 + 5*y**5 + (4 - 2*y**3 - 4)*(0 + y**2 + 0).\nAnswer: 8*y**5 - 5*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 113\/8 + (-3)\/(-16)*(-2)\/3. Put 2, r, -3, 1, 5 in increasing order.\nAnswer: -3, 1, 2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 23*f = 32 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*y + 95 = 415*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02222739958 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2 - l - 1\/2*l**2. Let b be x(0). Sort b, 0.1, 0.3 in descending order.\nAnswer: 0.3, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/9 (b) -0.7 (c) 7 (d) 3 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 245222?\nAnswer: -245221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2 + -4)*-3. Suppose 3*f + b = 8*f. Suppose 4*j - m - f = 0, -j - 3*j = -5*m + 17. Solve -j*v = -0 - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 74*l**2 - 14*l - 1037. Let c be z(-74). Let r = -3\/158 + -347\/15010. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5357, -10760, -16191, -21650, -27137, -32652?\nAnswer: -38195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -339*m**2 - 23*m - 44. Calculate w(3).\nAnswer: -3164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/2 (c) 342 (d) -2.8 (e) -9437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 10, 36, 96, 184?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259 - -62505.\nAnswer: 62764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-5 - (0 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/61509 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2700000 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -1 - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 132*l**2 - 99*l - 322. Let t(y) = -44*y**2 + 35*y + 107. Let u = -563 + 557. Let f(x) = u*i(x) - 17*t(x). Differentiate f(z) wrt z.\nAnswer: -88*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + l - 21, -61*a - l = -65*a + 14. Let f(s) = 6*s - 20. Give f(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/15 - 2*r**4\/9 - 2*r**3\/9 + 23*r. Determine g, given that u(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 8 + 18. Suppose 4*o - b - 6 = 5*v, -40 = -5*o - 2*v. Is -1*6\/o*-20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 183*r**3 - 1170*r**2 + 2388*r - 1608.\nAnswer: 3*(r - 2)**3*(r + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 21 = h - 5*l, -5*l - 5 = 5*h. Suppose -7*m - r = -2*m - 46, 52 = h*m - 3*r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 - 39*b - 91. Give i(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17227399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) -3 (d) 2\/23 (e) -384 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u - 15, 2*u = -2*b + 6. Let n = b + -9. Let k = n + 8. What is the smallest common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000480045 rounded to 5 dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, 2\/29, 7.1, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*h - 14, 4 = 14*h - 17*h + 2*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + v + 49 = 0, 2*v + 16 = 4*x + 7*v. Let s(f) = -f**3 + 8*f**2 + 8*f + 14. Let h be s(x). Solve 2*l + 14 = 2*d, -h*d - 11 + 1 = 4*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(4050) - (-2 + sqrt(4050)))**2 + (sqrt(200)*2*-2 + sqrt(200))\/sqrt(4).\nAnswer: -24 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = x - 3*j, 5*j - 8 = 3*j. Let v = 288 - x. Let m = -3329\/7 + v. What is the common denominator of m and 51\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2. Suppose -2*y = -5 - 7. Let p(r) = 3*r + y*r + 9*r - 27*r. Give j(p(g)).\nAnswer: -243*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u**2 + 1. Let i(k) = 4*k**3 - 8*k**2 + 3*k - 2. Let y(q) = i(q) - 3*p(q). Suppose h - 20 = -4*h. Give y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513 by 3.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(243) + (-2 + sqrt(27))*5)*-5.\nAnswer: -600*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 2 (c) 353 (d) -1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 14\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010001011101100110 - -11?\nAnswer: -10001010001011101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 14 + -8 - (3 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -757 - -1145. List the prime factors of r.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = g + 6. Suppose 3*p = 2*p + g. Solve 2*w + 5*j = p + 3, -j = 5*w - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303807?\nAnswer: 3, 7, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 22*x**3 + 2*x**2 - 108*x. Let l(f) = -2*f**3 - f. Give -9*l(y) - s(y).\nAnswer: -4*y**3 - 2*y**2 + 117*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(2160\/84)*4\/7\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1024\/1280*140\/(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263253 is divided by 544?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 3, 3\/4, 5, -0.5, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:09 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbb when three letters picked without replacement from {b: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15301679?\nAnswer: 43, 355853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 12*z**3 + z - 15*z**3 + z**4 - z**2 + 0*z**4 to u*z + v*z**3 + c + m*z**4 + g*z**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Suppose 3 = -o + 4. Which is the nearest to y? (a) 2 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*i + 214 = 7, 0 = -5*i - 5. What is the remainder when b is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/8)\/((-24)\/(-80)). Let t = b + -1. What is the closest to 1 in 1\/5, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84\/901 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18088, -72313, -162694, -289237, -451948, -650833?\nAnswer: -885898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*1295\/(-28)*(-11 - (-66 - -57))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3769, 3512, 3255?\n\"Answer: -257*q + 4026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120608 divided by 73?\nAnswer: -120608\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.0622 (b) -0.3 (c) -1\/2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 5*h**4\/24 + h**3\/2 + 25*h**2. Let f(y) = y. Let i(b) = d(b) - 6*f(b). Let p be i(3). Solve p = -l + 5*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27571055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 405636*p**2 - 50677*p wrt p?\nAnswer: 811272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58531589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 801, 817, 811, 771, 685?\n\"Answer: -2*u**3 + u**2 + 27*u + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 22. Which is the nearest to -1? (a) r (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*h - 2*h**3 + 35*h**2 + h**3 - 28*h - 2 + 4*h**3 to b*h**3 + u*h + o + l*h**2 and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 + w + 1. Let l be f(-5). Let v(n) = -n. Determine v(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 79?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 18*s - 14 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 10*y**3\/3 + y**2 + 1. Let w be g(-2). Let r = 310968 - 310878. What is the highest common factor of r and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -625, -627, -629, -631, -633?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 311340283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853602, 1707203, 2560802, 3414399, 4267994, 5121587?\nAnswer: 5975178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 153*z**4 - 306*z**4 - 44 + 3*z**2 + 155*z**4 - 9*z**3 + 15*z**3 - 5*z**3 to the form n + y*z**4 + m*z + k*z**2 + w*z**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 40 = -78 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/21 - 6*p**3\/7 - 2*p**2\/3 + 6*p\/7 + 16\/21 = 0. Calculate p.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124703086 + 1?\nAnswer: 124703087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1552372, -3104745, -4657118, -6209491, -7761864, -9314237?\n\"Answer: -1552373*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.04, -4550, -59?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)*m\/m**(1\/4))**(33\/5) assuming m is positive.\nAnswer: m**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -19.15. Let g = -0.2 - -0.15. Let z = t - g. What is the closest to z in -4, 2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0.1 (c) -3\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 289097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/6 + 5*-1. Let j = 10 + o. Let d(q) = 8*q**3 - 5*q**2 - 3*q + 1. Let i(z) = 7*z**3 - 4*z**2 - 2*z + 1. Calculate j*d(x) - 5*i(x).\nAnswer: -3*x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 7, -0.5, -8, -77, 8?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = 2*b. Let k(s) = -s - 1. Let a be k(-8). Let r be 8\/a*(-7)\/(-10). What is the second biggest value in -0.3, b, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25285199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*d + d - 80, 2*d = -4*k + 50. Let l be -12*(5\/k - 1). Solve l = 2*a - 5*x, -2*x = -a + x + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04901 - 0.15099. What is the closest to -1 in -0.6, -1\/19, q, 3\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152000 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -19.6. Sort -2\/7, -0.1, 3\/5, j in ascending order.\nAnswer: j, -2\/7, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Suppose -2*o - z + 10 = -0*z, o = -5*z + 14. Let c(m) = -22*m**2 + 0*m**2 + o*m**2. Give u(c(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -61*s - 92. Let h(v) = -21*v - 31. Calculate 17*h(g) - 6*w(g).\nAnswer: 9*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -19. Let t(q) = -q**3 + 6*q**2 + 8*q + 1. Let z be t(7). Let p be -2*(-2)\/w*z. What is the second biggest value in -3, p, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -209, -210, -201, -176, -129, -54, 55?\n\"Answer: m**3 - m**2 - 5*m - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 1:12 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-16)\/j*j**(-1\/27)*(j\/((j\/((j\/j**10)\/j))\/j))\/(j*j*(j\/(j\/((j*j**(-15\/2))\/j)))\/j) assuming j is positive.\nAnswer: j**(-1055\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -255?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:04 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6 + (-3)\/(-9). Suppose y*h = 6*h. Suppose -3*m - 4*i = -70, 4 = i - h. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.25943um in meters?\nAnswer: 0.00005025943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 22*u**2 + 4*u - 11. Let j(w) = -w**3 + 9*w**2 + w + 1. Give g(i) - 2*j(i).\nAnswer: -3*i**3 + 4*i**2 + 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + h - 42, -2*w + 4*h - h = 22. Let l = -3 - w. Solve -2*m - 12 = -3*m - l*r, 2*m + 5*r - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 305\/2 and 152 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 23*u - 23*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 185 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 3, a: 1, z: 6, l: 6}. What is prob of picking 1 u and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 2)*(-4 - 2*n + 4) + 1 - 1 + 2*n)*(1 - 4 + 2) - 2*n - n - n + (-n + 5 - 5)*(2 - 4 + 3).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30586 and 7460?\nAnswer: 305860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1121 + -1114. Suppose 9 = 2*a - 21. Suppose 0 = -3*v - 0*v + a. Calculate the remainder when d is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 0*f - 2\/5*f**2 - 4\/15*f**3 - 1. Determine m so that t(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0, -4 in decreasing order.\nAnswer: 29, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6478 and 706769234?\nAnswer: 6478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 5119 = 4228. What is the least common multiple of 405 and x?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*y = 234*y - 10. Is (4*y\/(-40))\/(4\/(-29976)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let i(a) be the third derivative of a**8\/5040 + 5*a**5\/12 - 5*a**2 - 3*a. Let l(q) be the third derivative of i(q). What is l(o(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 193375.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - 0 - 52\/16. Let m be ((-4)\/(2\/1))\/5. Let o = 1541 + -1541.1. Which is the closest to o? (a) v (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*p + 201687 - 1082147 = 0. What are the prime factors of p?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10264543 to the power of 1\/2, to the nearest integer?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v + 22 = 0. Suppose n + 30 = -5*f + 7, -2*n + 2*f = 34. Let h = v - n. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose -i*p + 14930442 = -p. Let r = -2076814 + p. What is r rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132114809 to the nearest integer?\nAnswer: 11494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 13 + 234)*(1 - 3*i - 1) - 4 - 13*i + 1 + 2 as l*i + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/2435 - -90447\/214280. Find the common denominator of -29\/1600 and f.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v. Let f(o) = -2211*o. Give f(c(a)).\nAnswer: -15477*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/5 - 3958*n**4\/5 - 67788*n**3\/5 - 151808*n**2\/5 + 223552*n\/5 = 0. Calculate n.\nAnswer: -14, -4, 0, 1, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrhhrykvrryhkhpr. What is prob of sequence rrhk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283 + 283.0007855. Round m to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.447 minus 9?\nAnswer: 5.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = -2*k - q, 2*k - q = -3*k + 1299. What is the remainder when k is divided by 116\/16*2*(7 + -5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184740 divided by -6\nAnswer: 30790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134312 (base 5) in base 16?\nAnswer: 109f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**2 - 13 + 13 in the form l*o**2 + x + j*o and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*y + 488, 4*y - y - 4*c - 738 = 0. What are the prime factors of (6\/5)\/(20\/y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.205527696 from -29.14.\nAnswer: -29.345527696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**2)\/(q*q\/q**3))\/(q\/q**(-2)*q)**(-1\/44) assuming q is positive.\nAnswer: q**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -0.0269, -3 in decreasing order.\nAnswer: 0.1, -0.0269, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 1 + 0*c + c + 0. What is the least common multiple of i(-1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35055299*u - 62879411 wrt u.\nAnswer: 35055299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41513816 a multiple of 562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 6) in base 12?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v = -86*v + 792. Let x = 23 + 62. What is the remainder when x is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -555*a - 2200. What is the remainder when 93 is divided by b(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 140 = -36*z + 49*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = 2*o. Calculate the least common multiple of (o\/(-6))\/(3\/36) and (126\/(-15))\/(-3)*5.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187\/(-88))\/17*10?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 24*t - 16. Let c be ((-136)\/(-40))\/((-2)\/(-10)). Let h be s(c). Round h to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764335243.\nAnswer: 11, 14581283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 53, -3, -0.06.\nAnswer: -3, -0.06, 0.04, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 51 + l**2 + 2*l + l**3 - 4*l - 48. Calculate f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + (3 - (9 + -2) - -7) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.5188*89.\nAnswer: -1114.1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -34*g + 3. Let p(m) = 34*m - 2. Let v(n) = -6*p(n) - 5*x(n). Let b be v(-2). Suppose s - b = 5. Calculate the greatest common factor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + b + 1)*(b - b - 2*b**2 + 4*b**2 - 6*b**2 - 11*b**2 + (-3*b + 2*b + 3*b)*(-1 + 1 + 2*b) + 2*b**2 + 2*b**2 - 2*b**2 + b**2 - 2*b**2 + 0*b**2).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:33 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261 - 261 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 1. Let h be p(2). Suppose 0 = -h*n + 2 + 4. What is the tens digit of 1\/2*72\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 21*v - 16. Let j be (-4)\/(-18)*(-153)\/(-17) - 8. Give y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - 4*c + 3*c)*(-2*c - 2*c**4 + 3*c**4 + c).\nAnswer: -10*c**5 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*h - 146*h - 13132. Suppose -5*i = 2*q - 938, 3*i + h = 4*q + i. Is 67 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-2)\/(-5) - 0). What is the units digit of (-3)\/((30\/4)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125\/3 + 259\/6. Let t(d) be the first derivative of 3 + 1\/2*d**3 - 9\/2*d + g*d**2. Factor t(y).\nAnswer: 3*(y - 1)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 5, 517, -2 in increasing order.\nAnswer: -98, -2, 5, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 - -5. Let f = u - 7.4. Let n = -6.00009 - f. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 2*p - 3. Suppose 3*f + 3*z + 8 = 53, -2*f = -3*z - 30. Let t = f + -12. Determine w(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.25 + 0.49. Round b to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + t**5 + (-367*t**3 + 433*t**3 + 745*t**3)*(0*t**2 - 6*t**2 + 4*t**2).\nAnswer: -1621*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -1223.\nAnswer: -1222.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53183371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = -6. Suppose -11*q + 264 = q. Calculate the remainder when q is divided by (-32)\/(-5) - g\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 13260*l.\nAnswer: 3*l*(l + 4420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -3483076\nAnswer: 3483076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6419 + -6439. Sort 11, -1, -3\/4, 0.3, n.\nAnswer: n, -1, -3\/4, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -47578 (c) 104 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22013001123 (base 4) to base 6.\nAnswer: 132445243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 22, -410, 5, 7 in descending order.\nAnswer: 22, 7, 5, 2, -1, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1 - 3 - (9 + -12)) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000596209599 to 6 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:48 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {k: 1, p: 2, g: 1, x: 5, t: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f - 154*f - 133*f = 4351 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d)*(2*d**2 + 0*d**2 - d**2) + 24*d**3 - 22*d**3 + 23*d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 8, f: 1, g: 2, b: 6}. What is prob of picking 1 i, 1 b, and 1 f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319.935 + 321. Let m = o + -0.065. What is the closest to -1\/3 in -2, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95*p**4 + 3*p**2 - 3*p + 7049 wrt p?\nAnswer: -380*p**3 + 6*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*r**5*t**2 + 10*r**3*t**2 - 6*r**2*t - 56*r**2 - 2*r*t**2 wrt r?\nAnswer: 1800*r**2*t**2 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**4))\/((d*((((d**3*d)\/d)\/d)\/d)\/d*d)\/d)*((d**(-1)*d)\/d)**42*(d\/(d*(d*d**1*d)\/d))**2*(d\/d**1*d)**(5\/19) assuming d is positive.\nAnswer: d**(-964\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:05 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 + 3*s**2 - 29211*s + 2*s**2 + 30259*s - 1052 = 0. Calculate s.\nAnswer: -263, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 26. Let q be (1 + 3)\/j + 2. Suppose 531 = 5*b - q*n, b + n - 111 = -3*n. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459654 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 2*u**4 + 4 + 0*u**4 + 2*u**2 in the form z*u**4 + v*u + c*u**3 + f + l*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1553, 2913, 4097, 5099, 5913, 6533, 6953?\n\"Answer: -h**3 - 82*h**2 + 1613*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153237.66 rounded to the nearest 100?\nAnswer: 153200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 248 = 192. Let c = 132 - y. Calculate the highest common factor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004484 rounded to 5 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3838029 - 5?\nAnswer: 3838024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -753 (base 16) to base 5\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - 1*sqrt(3969)) + (-2*sqrt(441))\/sqrt(9))\/((sqrt(7) - (sqrt(7) + sqrt(847)*-3))*3)*-2.\nAnswer: 20*sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/9*-3 + 8 + -6. Suppose 0 = -2*s + 3*l - 6, -3*s = -0*s + 5*l - 10. Factor s*h**3 + o*h + 2\/3*h**2 + 0 - 2\/3*h**4.\nAnswer: -2*h**2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151111139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 2002012221120?\nAnswer: 2002012222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:04 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110102 (base 3) to base 13.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*z + 14*z + 12*z)*(-61*z + 107 + 6*z + 19*z + 17*z + 18*z) as c*z**2 + g*z + h and give g.\nAnswer: 3959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30055 (base 7) to base 5\nAnswer: -212433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2660 - 2660 - 19*v to the form d + n*v and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-126) - (194\/14 + (-126)\/9)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4669, -9343, -14021, -18709, -23413, -28139?\n\"Answer: -y**3 + 4*y**2 - 4679*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -18, -50, -118, -234, -410, -658?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000349302 rounded to 7 decimal places?\nAnswer: -0.0000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010853 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -702218 or -701857?\nAnswer: -701857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8472.4884 milliseconds in hours?\nAnswer: 0.002353469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -82323664 to the nearest 10000.\nAnswer: -82320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 79272572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9855 by -3285.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a - 120 = -463*a + 2406 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80849 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43018.\nAnswer: 2, 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 6*y - 2*n + 10 = 0, 0 = -2*y - 2*n - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4143069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*l - 212*l = -416*l - 2, 3*c = 8*c + 5*l + 90 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 1683468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1106 - 1106.0009155. Round h to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10909077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2888644966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*r**2 - 137 - 99*r**2 + 73 + 161*r**2.\nAnswer: -21*r**2 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3499145448?\nAnswer: 2, 3, 145797727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3754, -7385, -10894, -14281, -17546, -20689?\nAnswer: -23710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 2\/3, 9, 7\/5 in ascending order.\nAnswer: -4, -2, 2\/3, 7\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.641, -1, -122, -3, 0.5, -3\/5, -6?\nAnswer: -1.641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 1647?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) 2 (c) 70\/13 (d) 4\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o - 60 = -15*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284 - 279. Solve -2*k = c*j + 3*k + 15, 4*j = 3*k - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -46 + 49 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -60.244.\nAnswer: 1566.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2308 - -2308. Solve y = 3*s, -11 = -3*z - 5*s + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30060\/100 - (24\/(-15))\/4. Let c = -151 + z. Suppose -4*q + 3*m = -126, -2*m + 47 = 4*q - 69. Calculate the highest common factor of q and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5617 and 738.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15) + (-20)\/(5280\/(-19976))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457782 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 - -246. Suppose -4*b = -82 - y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 625690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025953682 rounded to five decimal places?\nAnswer: 0.02595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -3*v. Let g = 11 - v. Which is the third smallest value? (a) 0.2 (b) g (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 265. What is i(-14)?\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 1907696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340 is divided by 88.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8 = -4*r, -3*r - 18 = -5*g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -21*g**3 - 23*g**2 - 108*g - 106. Let r(m) = 5*m**3 + 6*m**2 + 27*m + 26. Let h(a) = 25*r(a) + 6*y(a). Find u, given that h(u) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 49*m + 572 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f. Suppose f = 6*p - 117 - 45. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + a**4 + 1 - 2*a**3 - a**4 - 4*a**2 + 4*a**4 to the form v*a**2 + j*a + w + z*a**4 + t*a**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*14\/(-11564)*-98.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 + 6*n + 4. Let t be w(-5). Suppose 4*o = -5*g - 531 + t, -5*o = -5*g - 330. Let y = g - -71. Are y and 2\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 2*a**2 - 113*a + 3. Is n(13) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 1 + -3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 201, 184, 147, 84, -11, -144, -321?\n\"Answer: -m**3 - 4*m**2 + 2*m + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146041 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2408 and 45623?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 10. Suppose 0*g = -2*g - v - 28, b*v - 49 = 3*g. List the prime factors of (4\/(-12))\/(1\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*r - 23 + 23)*(2 - 1 + 0) as s*r + v and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*w**2 + 29*h**3*w - 2*h**2 - 44*w**3 - 2*w**2 - w wrt w.\nAnswer: -4*h**3 - 264*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 81 + 24, 3466*g - 3462*g - 144 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nonoooaannan. What is prob of picking 2 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*t - 28 = -298*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.00838km in meters?\nAnswer: 38008.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2956050583 to the nearest integer?\nAnswer: 54370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(0 + 0 + y)*(1 - 1 - 1) + 1 - 2*y - 1 + (1 + 0 - 3)*(5*y - 5*y + 105*y).\nAnswer: -210*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 + 36*s**3 - 40*s**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 4*j**2 - 3*j - 4. Let i be g(-4). Let r = -138 + i. Put r, -34, -4 in descending order.\nAnswer: r, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/(-120) + 11\/(-3). Sort s, 102, -1 in decreasing order.\nAnswer: 102, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 15 - 29)*(0*c**2 + c**2 + c**2) + 3*c**2 + 0*c**2 - 9*c**2 to y*c**2 + o + j*c and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4222031 divided by -19\nAnswer: 4222031\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(42\/4856) + 4. Let o = 513177\/22 - 3715766\/165. Let i = t - o. Find the common denominator of i and 65\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/16)\/((-1)\/(-524)). Let i be (-2)\/(-8)*270\/w. Let k = 9295\/1179 - i. Find the common denominator of -95\/18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638173?\nAnswer: 127, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1831 - -4856?\nAnswer: 6587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (3 + 6*(sqrt(80) + 1))**2).\nAnswer: -11860 - 1728*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 267754521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -45, 2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8253127 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -7383.\nAnswer: -7383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -34\/7967129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1014919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 4. Let h be w(-7). Let n be h\/(-15) - (-16)\/(-30). Let l = -0.5 - -0.3. Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 23*l + 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-34) + (-4369)\/(-289). Suppose i*c - 13*c - 4 = 0. Solve c*u - 6*u - 3 = a, -6 = 2*a + 3*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - -1021223130?\nAnswer: 1021223013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*1\/2 + 2. Suppose 5*d = 4*n + 51, -d - 5 = n + g*n. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -22*i**2. Determine s(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 0.29 (c) 3\/5 (d) -4 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/15 - 572*a**2\/15 - 8182*a\/15 - 14092\/15 = 0?\nAnswer: -271, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.131 + -0.027. Let m = 0.1040138 - u. What is m rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 13*g**2 - 15*g + 49. Let n be q(14). Let c(i) = -i**2 + 39*i - 145. Let s be c(n). Let f(l) = l**3 + 6*l**2 + 2*l - 3. What is f(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 7. Let c(u) = -3*u + 13. Let q(k) = -4*c(k) + 7*f(k). Let m be q(3). Let s = -2 + m. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*z**3 + 280\/3*z + 50*z**2 + 0.\nAnswer: 5*z*(z + 2)*(z + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 21*t - 17*t + 5 = 0, 5*g + 6*t = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-6)\/((-60)\/(-10))). Solve -4*w - x + 3*x + 20 = a, -w + 5 = 3*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aaaaaaaaaaaaq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 2*l**2 - 1. Let i = -2 - -3. Let a be q(i). Suppose 5*m - a*k - 168 = 0, 3*k - 29 = -3*m + 76. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2) - 0)*4. Let f be -1 - u*1\/(-1). Suppose 3*k + 3 = 3*z, 2*k = -2*z - 5 - 1. Sort f, z, 4 in decreasing order.\nAnswer: 4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 10\/349, -4, 1?\nAnswer: 10\/349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2607 - -5906. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -26 + (6400\/110 - 30). Factor -2\/11*k**3 - 96\/11*k + 128\/11 + b*k**2.\nAnswer: -2*(k - 4)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 4:52 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55.5 + -123.56. What is o rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:59 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1001011101201121?\nAnswer: -1001011101201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 736 (c) 2\/5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -95 + 1\/1 + -4. Let c be 100*(k\/(-90) + -1). Let a = 9 - c. What is the nearest to 1 in a, 5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let y(c) = -102631*c - 257. What is y(v(u))?\nAnswer: 102631*u**2 - 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491623691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:17 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**38*x*x**(-7\/5)*x*x*x*x)**(6\/17) assuming x is positive.\nAnswer: x**(1248\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8.3. What is the third smallest value in 0.4, b, -4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5000 + 4999.9998798. Round q to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-10)\/(-440)*4.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(732\/(-81))*70*32\/360?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -130. Let u be 2 + (4 - (-2 - s)). Find the common denominator of -79\/20 and -1 + -1 + 450\/12 + u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = -2*i + 52. Let t(x) = -2*x**3 - 5*x**2 + x - 9. Let d be t(-7). Let a = i + d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 8, c: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**2 - 5*r - 46. Let w(m) = -4*m + m + m. Give g(w(d)).\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 15*z - 8. Give x(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*v - 20, -2*n + 3*v + 2 = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189508 is divided by 94557?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/10*500\/1050.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 31, 76, 141, 226, 331?\n\"Answer: 10*y**2 - 5*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 38*l = 14*l + 10950. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - b**3\/6 + 6*b**2 + 2*b + 648. Calculate c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 14*a**2 + 27. Let x = -17 + 31. Let y be l(x). What is the highest common factor of 135 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*f + 154*f + 2*i - 942 = -948, -4*i = -3*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884049?\nAnswer: 113, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233 - 1024133140?\nAnswer: -1024133423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36385894.\nAnswer: 2, 29, 317, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 divided by -194?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:10 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012 (base 6) in base 16?\nAnswer: b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 15 = -5*f, -13798*l - 185 = -13793*l - 20*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, w: 6}. Give prob of sequence awaw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(-351 + 351 + 192*c) to the form n + b*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -44. Let w = h - 14. Suppose -5*p = w*z - 76, p - 7 = -z + 7. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((16 - 30) + 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (-13 + 0 - ((-53 - -32) + 2))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-8)\/14)\/((-920)\/805))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmce when four letters picked without replacement from {e: 11, m: 1, c: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020 is divided by 227.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*t - 27214 - 37598 = 0. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z**4 + 4300*z**3 + 5765*z**2 - 1430*z - 2880 = 0 for z.\nAnswer: -1, 2\/3, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 3*u)*(u + 0*u + 2*u)*(-u**3 - u**3 + 3*u**3).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 3.9. Suppose 2*f = -4*q + 14, -f - 3*f - 3*q + 8 = 0. Let d = -10267\/7 - -1467. What is the third smallest value in t, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r\/r**(-21) assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -252?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 190, 371, 528, 649, 722, 735, 676, 533?\n\"Answer: -2*l**3 + 195*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/17 in 7, 3, 0.2, -4, -10\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1007\/12473 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + y - 5. Let b(f) = -f**3 - f**2 - 3. Let w be b(0). Let m(p) = -5*p + p**2 - 2*p**2 + 6*p - 1. Give w*m(i) + u(i).\nAnswer: -i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14 and -25\/1704?\nAnswer: 11928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356717 is divided by 79.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5677299891 + 5677300787.0000651. Let k = 896 - g. Round k to 6 decimal places.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:46 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**2 - 5. Let q(h) = 21*h**2 + 11. Suppose 2*t = -a + 7, a + 5*t = 2*a - 28. Let k(v) = a*u(v) + 6*q(v). Calculate k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1348 + -1347.8. Which is the closest to 0.3? (a) 2\/7 (b) w (c) -1 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 10504006.\nAnswer: 10504005.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/4 + 30*s.\nAnswer: 5*s*(s + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 7. Let m be r(5). What is the common denominator of ((-4841)\/(-618) - 8)*((-574)\/8 + 2) and (m\/(-10))\/(18\/(-615))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58545 or -58591?\nAnswer: -58545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73904 and 1511560?\nAnswer: 450444880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.201 times 1420\nAnswer: -4545.42","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(2\/5))**(15\/7)*(l**(1\/3)\/l)**(11\/3) assuming l is positive.\nAnswer: l**(170\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 q, and 1 g when four letters picked without replacement from qqqjjjgiqjg.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 531598.\nAnswer: 2, 5, 531598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 290 - 289. Put -2, d, 0, 5 in descending order.\nAnswer: 5, d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 2*h - 7*h + 4*t, h - 29 = 2*t. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 37*g**2 + 46*g - 281. Let r be u(38). Let m(q) = q**3 + 11*q**2 - q - 9. Let j be m(-11). Put -2, -1, r, j in descending order.\nAnswer: r, j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9127638, 18255278, 27382918?\nAnswer: 36510558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/1955 and 11\/35.\nAnswer: 13685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/10 and -81\/15610?\nAnswer: 15610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14773, 14767, 14759, 14749?\n\"Answer: -u**2 - 3*u + 14777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1441*t**2 - 11 + 654*t**2 + 10 + 683*t**2.\nAnswer: 2778*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 6*j**2 - 9. Calculate the remainder when n(-7) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 935*r - 929*r as z + t*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -172, -393, -682, -1027, -1416?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9*c = -28. Solve -o = c*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -146. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 29*v - 8. Determine y(9).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*b + 10, 24 = -0*g + 5*g - 3*b. Suppose 0 = -5*d + 10, 2*y - 5*d + 58 = g*y. What is the derivative of -49*t + 5*t**2 + 49*t - y wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3*(-16)\/(-32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = -18. Suppose -5*t = 113 - 463. Suppose 0 = 6*b + 28 - t. Calculate the remainder when b is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222201 (base 3) to base 5.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/8 - 505*i**3\/8 + 741*i**2\/4 + 3005*i\/2 + 1757.\nAnswer: (i - 502)*(i - 7)*(i + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16303446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 72781*d**2 - 5297073961*d\/2.\nAnswer: -d*(d - 72781)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 358918 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkskkkkskkkk. Give prob of sequence ks.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 691, 43.\nAnswer: -4, 43, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(16\/3)*q)\/q*q**(9\/2))\/((q**(-1\/3)*q)\/(q**(2\/81)*q)) assuming q is positive.\nAnswer: q**(1651\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293189?\nAnswer: 13, 19, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-16) + 2\/(-8). Suppose -3*j - 14 = -5*b - 7, -x*b + 2 = -2*j. Calculate the remainder when 4 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7392 and -1?\nAnswer: -7392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n. Let j be 0 + -4 + 1*2. Let i be o(j). Solve -i*s + 3*s - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(240) + sqrt(240)*-1))\/(sqrt(72)\/((sqrt(54) + sqrt(54) + (sqrt(864) + sqrt(54) - sqrt(54)))\/sqrt(9))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 35 = 2*z, 4*z + 165*v - 170*v + 35 = 0. Find q such that -1\/4*q - 1\/4*q**2 + 1\/4*q**3 + z + 1\/4*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(171) - sqrt(171)))**2 + sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) + -1*sqrt(171)*1)**2)))*2.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1210*t + 16940. Let j be o(-14). What is the biggest value in -3, 1.3, -0.21, j?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -10, -144*u = -149*u + 5*g + 5. Put -50, u, 18 in descending order.\nAnswer: 18, u, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:07 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**5 + 667216*l**4 - 18553274854*l**3 + 234930460204*l**2 - 815988273960*l + 445075779600 = 0.\nAnswer: 2\/3, 6, 55595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/58*(32\/(-6))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 46 = -4*y. Suppose -73*s = -69*s + 56. Let q = s + y. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) - (-2)\/((-2)\/81). Is -81 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586890804 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82950 + 82951. Let s = -0.1 - -0.2. Which is the fourth smallest value? (a) n (b) 1\/6 (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2252021.\nAnswer: 131, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(272) + -2 + (-2 + sqrt(17))**2.\nAnswer: -20*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10223\/4 - -2578. Let u(o) = -o**3 + 5*o**2 - 5*o + 3. Let a be u(5). Let q = m + a. Which is greater: q or -2\/39?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111200 (base 3) to base 9\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 10*q**2 - 5*q + 7. Let s be y(-11). Let i = s + 354. What are the prime factors of i?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 8:48 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 1 + 15 = -18, -74*b - 173 = 5*n - 60 + 69 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*4\/(-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-13 + 11 + -20 + 18).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k - 3*l + 56, -4*k - 3*l + 46 = 0. Suppose -5*y = -0*y - 2*i - 54, -2*i - 44 = -4*y. Calculate the greatest common factor of y and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 10*v**2 + 22*v + 7. Let p be o(-12). Suppose -3790 = -p*k + 26*k. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/sqrt(75))\/(sqrt(66)\/sqrt(96) + sqrt(11)) + (sqrt(3) - sqrt(3993)\/sqrt(11)) + 3 + 2)**2.\nAnswer: -492*sqrt(3)\/5 + 197173\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110112211 (base 3) to base 7.\nAnswer: -150025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28782707?\nAnswer: 37, 777911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34858249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(1 - 4) + 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 52*k + 4 = 0. Let w be k\/(-5) + 1\/5. What is the third biggest value in w, 2, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8. Let r = -7 - -4. What is the second smallest value in 2, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454 divided by 1?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 5*c + 25, 178*k - 174*k - 60 = -12*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/330 + z**4\/33 - 4*z**3\/33 - 23*z**2. Suppose g(b) = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 6*n - 3*n. What is the remainder when n is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*a**2 - 421 + 21*a**2 + 352 - 847*a**3 with respect to a.\nAnswer: -2541*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + 1)*(48\/14)\/4. What is the common denominator of (-76)\/m*4\/(-8) and 85\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-five halves of a micrometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81664 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a)**(-1\/11)\/(a*a\/(a*a**(2\/5))*a*a**0) assuming a is positive.\nAnswer: a**(-93\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -221904 divided by 6\nAnswer: -36984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 323760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 27 + -37 - -45?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j - 245 = 85 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 423 = -3*p. Let n = 1267\/9 - p. What is the biggest value in -1, n, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35739 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 116*x - 36. Let z be f(-39). Let v = 235\/3 + -79. Let p = -0.07 + -0.03. Which is the biggest value? (a) v (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 25 + 15)*(10 + 15 - 13*k - 23)*(-2*k + 3*k + 0*k)*(5*k**2 - 4*k**2 + 0*k**2).\nAnswer: 494*k**4 - 76*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 108249*v**2 + 108267*v**2 + 0*v**3 - 27*v = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*k**3 - 431*k**3 - 372*k**3 - 156*k**3.\nAnswer: -472*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 plus -381532?\nAnswer: -381729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -4*b + 20, -b + 5*p + 22 = 0. Suppose -2*g - b = -0*g. Let c be 10 + g + (-3)\/3. Solve -11 = 5*r - 2*y, -5*r + 3*y - 2*y - c = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 52562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -599 - -606. Let p be ((-3)\/12)\/(2\/(-8)). Suppose 20 = u*s - p. Solve 0*q - q + s = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6260 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172046219 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*i + 5 = 0, 6*w - 17 = 4*w + 3*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/18 + 18425\/(-495))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 652 - 492 - (-4 + 91)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/4 + 1\/(-2). Let o(r) = r + 3. Let s(t) = -t - 4. Let n(x) = -5*o(x) - 4*s(x). Let b(v) = 2*v - 1. Calculate d*n(g) - 3*b(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 968, 1852, 2734, 3614, 4492, 5368, 6242?\n\"Answer: -n**2 + 887*n + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00846219 to four dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or 0.25?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8431.\nAnswer: 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 66 - 2*i**2 - 132.\nAnswer: -2*i**2 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -24*v**2. Let o(w) = 42 - 2*w**2 - 18 - 13 - 11. Calculate g(o(k)).\nAnswer: -96*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59000339 and 3116946.\nAnswer: 62117285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 81300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 - 25*m**3\/6 - 11*m**2 - 22*m. Is 8 a factor of w(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.028 rounded to one decimal place?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -622226 - -10403.\nAnswer: -611823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 20*v**2 - 4*v + 856. Let s(l) = 13*l**2 - 2*l + 570. Let j(h) = 5*i(h) - 8*s(h). Find the first derivative of j(y) wrt y.\nAnswer: -8*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 1:44 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -53*o**3 + o - 2. Let w be x(2). Let v = w + 667. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12425 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 11*w - 18. Let o be -1 - 3\/(-9)*w. Sort o, -9, -0.05 in increasing order.\nAnswer: -9, o, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2339746251 to the nearest integer?\nAnswer: 48371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.774277654 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.4 + -10. Suppose n + 3*n + 44 = 0. Let d be (10 + n)*(1 - 2). What is the closest to 0 in j, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 15. Suppose x + n = 8. Suppose x*r - 2*r + 5*y = 2706025, -4*r + 3608010 = 2*y. Round r to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2506 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 583 and 3493\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.029 - -0.029. Which is the second smallest value? (a) -2 (b) 5 (c) 7 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4289, -7735, -7.\nAnswer: -7735, -7, 4289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -31*f**5 - 4*f**3 + 28*f. Let t(l) = -497*l**5 - 63*l**3 + 448*l. Let r(v) = 63*i(v) - 4*t(v). Find the second derivative of r(g) wrt g.\nAnswer: 700*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 6*q + 3*q - 7*q + 781 - 781 + q + 2*q - q + (-1 + 4 - 1)*(-q + 4*q - q) + 3*q + 2*q - 4*q - q + 0*q - 3*q in the form m*q + y and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -4, -3, 5\/3 in increasing order.\nAnswer: -4, -3, -2\/15, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 108636711 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 22. Let s = 402 + -421. Determine o(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 19*r**4\/12 + 4*r**3\/3 + 5*r**2\/2 + 4*r. Is k(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(1*-3) - -4. Suppose -p + 164 = -4*b, -s*p + 3*b + 442 = b. Suppose -4*w = -p + 4. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807742399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.083 or 1679?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 40. Calculate the remainder when 16 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -7*s**5\/20 - 13*s**2\/2 - 5*s. Differentiate i(l) with respect to l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:03 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 27*t + 1155 = 0. List the prime factors of t.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 + 369\/162. Let w = -22 - -12. Let o = w + 15. Sort o, x, -3\/7.\nAnswer: -3\/7, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:31 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1eb (base 15) to base 11\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20662461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*h + c, -3*c - 394 = 2*h - 388 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 - 2*2\/(-10). Sort q, 0.2, 0.1, -4\/11 in decreasing order.\nAnswer: q, 0.2, 0.1, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3 - -1\/2. Let s(h) = 29*h - 141. Let v be s(5). Which is the smallest value? (a) v (b) 0 (c) w (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*v - 5608. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/33018 and -21\/3687010.\nAnswer: 11061030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*m**2 + 0 + 2\/7*m**3 + 0*m = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/65520 and -9\/1000?\nAnswer: 1638000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 6*s + 5. Let u = -3848 - -3853. Let c(i) = 2*i**2 + 7*i + 6. Determine u*f(p) - 4*c(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 96. Suppose -s*v = -5*v - 560. Does 14 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 26 and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 19 + 11 = 0. Find the second derivative of -g**4 - q*g + 7*g**4 - 9*g**4 - 16*g**4 wrt g.\nAnswer: -228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15420864 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 17, -0.344, 3?\nAnswer: -0.344","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/12*(-12)\/30)\/((-14)\/315).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 - -269. Let m = 81 - t. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -730\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198*n + 538.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9246459 or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*3 - sqrt(18))**2 + 3*sqrt(162).\nAnswer: 27*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 4. Let g = x - 22. Let u = g + 8. Let w(y) = y**3 - 4*y**2 + y - 3. What is w(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10739, 10737, 10735?\nAnswer: 10733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178315 is divided by 25464.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9451 - -9475. Let b = 55 - 0. What is the remainder when b is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Suppose 3*n - 42 = -5*b, 98 = 5*n - b - z*b. Suppose -121 - n = -4*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 16 = 4*x, -3*d + 0*d = -x + 11. Suppose 4*f = 3*u + 2*u + 120, 60 = 2*f - u. Put x, 2, -5, f in descending order.\nAnswer: f, x, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 37*m**2. Let u(x) = 4*x**2 - 7*x + 8*x - 2*x**2 - 5*x + 12. Let f(r) = -5*r**2 + 11*r - 33. Let k(v) = 4*f(v) + 11*u(v). Give k(o(g)).\nAnswer: 2738*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5047303 divided by 1.\nAnswer: -5047303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - ((-6*-2*sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68)))*-1*-1)\/(1*sqrt(576)*1*-4).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 12. Let h(u) = u**2 + n - 4 - 8. Let x(z) = -7*z - 6. Let c(i) = i + 1. Let j(k) = 6*c(k) + x(k). Give h(j(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287.98845 - 288. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 187 from -0.2696666.\nAnswer: -187.2696666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63740670203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10296*t - 2*a = -10295*t + 10, -4*t - 11*a + 32 = -15*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/561 and 49\/121?\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**3 + 4*l**2 - 5*l. Let w(i) = -i**3 + 10*i**2 - 2*i + 26. Let d be w(10). Let t(j) = -j**3 + j. Give d*t(o) + r(o).\nAnswer: o**3 + 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 422963 and 687?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 6*h - 33. Let j(d) = d**2 + 8*d - 3. Give j(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 292 = 2*r - 338, 4*r - 3*a - 37 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -45, -1.9037, -3?\nAnswer: -1.9037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6451, 9565, 14755, 22021, 31363?\nAnswer: 42781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -43. Is 1*(-4)\/7 + 42939\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 - 2*x - 2. Let u be k(-2). What are the prime factors of (-58)\/(-12) - u\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-1)\/(7\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.82 + -42.8207325. Round j to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 4)*(2 + -37). Suppose 5*h + d = -5*q - 5, -2*q + h - 10 = 0. Let z be 42\/28*(-1)\/q. What is the closest to -0.5 in -3, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79705826 = -21*b + 191322340 + 266278486. Round b to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 3. Let w(f) = -6*f - 3. Let l(r) = 5*m(r) - 4*w(r). Let q be l(3). Is 21 a factor of (14\/q)\/((-3)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p**(-18)))\/p*p)\/(p\/(p*p**(-3\/16))) assuming p is positive.\nAnswer: p**(301\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14048, 14046, 14044, 14042, 14040, 14038?\n\"Answer: -2*a + 14050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -60.6. Let m = l + -0.4. Let n = -0.4 - -1.4. Which is the second smallest value? (a) m (b) n (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77128141 or -77128144?\nAnswer: -77128144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w + 39. Suppose 5*f = -2*l + 49, 5*l - 27 = -4*f + 19. Calculate the remainder when z(f) is divided by (0 + 22\/3)*3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**5 + p**4 + 126*p**3 + 38*p**2 - 378265.\nAnswer: -300*p**2 + 24*p + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (241\/1205)\/(1 - (-6)\/(-8)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/13))\/m**5*(m**(-2\/9))**(-38) assuming m is positive.\nAnswer: m**(538\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52374 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/(r\/r**0*r))**(-38)\/(r**(2\/3)\/r*r**(-4\/11))**45 assuming r is positive.\nAnswer: r**(-909\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3*n - 553*d**3 + d*n - 1074*n wrt d?\nAnswer: -6*d**2*n - 1659*d**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -1) + 0 - -1) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23108769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7490.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 504*t + 14852 = 0.\nAnswer: -79, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 4. Solve -24 + l = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4682967 days?\nAnswer: 40460834880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 11, j: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2550 and 173\/840?\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + f - 282 = 0, 3*f = 6. Is (r\/(-15))\/((-2)\/33) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77496, 77452, 77408, 77364, 77320?\n\"Answer: -44*i + 77540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 31 = -o. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737455 divided by 5\nAnswer: -147491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341\/4 + 86. Let h be 14\/4*(-11)\/(-66). Let j = h - o. Calculate the common denominator of -101\/4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(180)*5 - sqrt(5)) + (sqrt(605) + 3)**2).\nAnswer: -1842 - 285*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 449*a**6\/60 - a**5\/12 - 3*a**4\/8 + 4*a**3 + 27*a**2. Let i be y(-8). Round i to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 + 5*x + 2*x**2 - 1477*x**3 + 1480*x**3 + 2*x to the form k*x**4 + u*x**3 + y + d*x**2 + q*x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571411.8ns to hours.\nAnswer: 0.0000001587255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l - 308. Suppose 4*p + p + 3*a = -l, a + 3 = 0. Let v = p + 53. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 2*u**2. Let v be q(2). Suppose -v = -5*p + p. Solve 0 = j + j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**2 - 114*i - 58. What is the thousands digit of f(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000820941769 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/33)\/(1\/(-12)). Let g = 3 - j. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14)*(-3)\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 328 - 49)*(-8*v + 5*v - 8*v)*(2 - 1 + 1)*(5 - 5 + 1).\nAnswer: 8096*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 568?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 207?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-62)\/(-93)*-3 - (-177)\/50 and 2\/(3\/((-171)\/(-16)))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 3. Let g be (5\/10)\/(1\/14). Let i be v(g). What are the prime factors of i\/1*30\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 6*w - 28. Solve -o + 8 = -4*i, -i - 3*o + w*o - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*l = 46*l - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 102, 224, 430, 720, 1094, 1552, 2094?\n\"Answer: 42*h**2 - 4*h + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129.3 - 129. Sort -34, -2, n.\nAnswer: -34, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.4, 6, -0.3, 4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/(-119) + 92\/(-14). Let q be (((-21)\/(-4))\/a)\/((-6)\/120). Solve 4*y - l = -q, -2*y + 6 = 3*l + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + i)*(-2*i - 3*i + 3*i) + i - i + 7*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 142311 (base 7) to base 3\nAnswer: 1101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2 - (-7 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42231158.\nAnswer: 2, 21115579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2731074 is divided by 1048?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1300320 + -12212200?\nAnswer: -20113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330 + -3?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805318 is divided by 360?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z**2 - 3*z + 1. Let j(a) = 27*a - 1834. Let l be j(68). What is m(l)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(52) + (sqrt(104) - (sqrt(104) - sqrt(104)*2) - sqrt(104) - sqrt(104))\/sqrt(8)).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 0)\/(4\/50). Let z(y) = y + 11. Let t be z(-6). Let m(g) = -g**2 + 19*g - 60. Let u be m(15). Solve 0 = t*l - u*l + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**3 + 247*l**2 - 120*l + 4. What is b(35)?\nAnswer: -1746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + o = -13 + 4, 3 = -3*o. Solve 3*v = 7*h - 3*h + 11, 0 = 2*h - 4*v - i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -260 + 260.05. Let z = 4.3 + -0.3. Which is the third smallest value? (a) -0.2 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.54, 2\/13, -1\/3.\nAnswer: -3, -1\/3, 2\/13, 0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 409*v**3 - 175*v**2 - 816*v**3 + 409*v**3 + 1 to y*v**2 + o*v**3 + g*v + s and give y.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -d, -3*d - 12 = d. Suppose -4*h = -3*q - 26, -4*q + 0*q = h + v. Round q to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:37 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 87*u - 22 + 221*u as k*u + w and give k.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4669306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-639)\/6)\/((45\/(-20))\/3)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**3 - 89*v**4 + 29*v**4 + 2*v**2 + 1 - 4*v**3 - 1 in the form i + a*v**4 + m*v + b*v**3 + h*v**2 and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttototto. Give prob of sequence ttto.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdddddddxdd. What is prob of sequence xddd?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -0.06707222430378.\nAnswer: 0.93292777569622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*z + 81 + 62, z = c - 138. What is the remainder when c is divided by (0 - 0) + 5\/(20\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1*(-3)\/3))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*h - 103, -2*u + 3*h = -42 - 37. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-56) + (-2)\/(-7). Suppose z = -0*t - t + 5. Suppose d = -5*a + 41, -5*d = t*a - 22 - 163. Calculate the greatest common factor of 54 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {r: 1, j: 1, n: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 14 = -28*x. Let f be x + 244\/126 + 20\/70. Let m be (-2)\/90*-3*3. Which is greater: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 3*b. Let p(d) = -55*d**2 - 20*d. Let n(o) = 3*p(o) + 20*w(o). Let h(t) = -21*t. What is n(h(j))?\nAnswer: -2205*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3344\/456)\/(4\/(-3)))\/((-1)\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -968 or -969?\nAnswer: -968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2 - 32*z. Let x(v) = 866*v. Calculate n(x(f)).\nAnswer: -3749780*f**2 - 27712*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 3.8.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 80 = -19*q. Let h = q + 23. Solve -5*r - 3*a = 3 + 9, -h = 2*r - a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 - 19088*k\/5 - 1281588.\nAnswer: (k - 19418)*(k + 330)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/53)\/n**(-2\/13)*(n\/(n\/(n\/(n*n\/n**(-10)*n)))*n)**2 assuming n is positive.\nAnswer: n**(-15026\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q**3 - 9*q + 5. Let b(u) be the third derivative of -u**6\/24 + 5*u**4\/24 - u**3\/2 + u**2 - 95*u. Give 5*b(i) + 3*t(i).\nAnswer: 5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106497445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 - 15 - 6)*(-3 - 3 + 4)*(-50 + 8 - 18)*(0*a + 0*a - a).\nAnswer: 14520*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2, 2540?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*n = 0, n - 1 - 2 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266875 and 1708?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -9 in decreasing order.\nAnswer: 12, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(315) + (3*1*sqrt(315) - sqrt(315)))\/((sqrt(108)*2)\/sqrt(12)))\/((sqrt(80) - -6*(sqrt(80)*2 - sqrt(80) - sqrt(80)))*6))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 + 416. What is the lowest common multiple of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 306, 4 in increasing order.\nAnswer: -120, 4, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1197*o + 3582. What is n(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2633 = 4*n - 2597. Which is the biggest value? (a) 10 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 13*k + 5*r - 19085 = 0, 0 = 4*r + 20. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27257051 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3. Let y = 16 + -21. Let p(f) = -f - 7. Give y*b(x) - 2*p(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*(r**8\/r)\/r*(r\/r**(-7)*r)**48)**(-40) assuming r is positive.\nAnswer: r**(-157600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.4, 3, -0.05 in descending order.\nAnswer: 3, 0.4, 2\/13, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 3 + 4.\nAnswer: 7 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 13*c**5\/20 + 3*c**2 - 707*c. Let r(h) = -259*h**3 - 119. Determine 119*p(m) + 6*r(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/8 - 29667*z**2\/8 + 73743105*z\/8 - 1969495641\/8 = 0 for z.\nAnswer: 27, 4931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 - 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5554 - -30?\nAnswer: -5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22370*y = 22372*y + 24 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 6. Let v be a(0). Is 1438\/v*((-1 - 3) + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 15*y - 40. Suppose -4*u + 2*m - 6 = 0, 2*m - 4*m + 8 = -2*u. What is the highest common factor of u and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -3*r - 12, 2*r - 16 = -4*h. Suppose 0 = 2*m + h. What is the tens digit of -6*m\/(-9)*-10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/((-78)\/15) + -1. What is the third biggest value in 0.1, 2\/153, m, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23984\/2045 - -20490593\/1705530. Let r = -456\/139 - z. Let o = 27917 - 502639\/18. Calculate the common denominator of o and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-29)*m))**(2\/5)*m**(-16)*m**(-25) assuming m is positive.\nAnswer: m**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58380 - -86783. What are the prime factors of l?\nAnswer: 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/((c**(1\/4)*c)\/c))\/c*c\/(c*c*(c\/(c*(c\/(c\/(c*c*c\/(c\/(c\/(c*c**(3\/10)))))*c))\/c*c))\/c*c*c)*c*c**24\/c**(1\/41) assuming c is positive.\nAnswer: c**(20029\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 279124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -335, -406, -597, -968, -1579?\n\"Answer: -10*s**3 - s - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t + 4. Suppose 10 = -5*g + 3*g. Does 6 divide x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8\/3, -2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -82.15?\nAnswer: 16.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1053) + (sqrt(1053) + sqrt(1053)*2)**2 + sqrt(1053)).\nAnswer: -9477 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001825 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 2046?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2*q - 3. Determine w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.68 - -38. Let r = 42.8 + -42. Let h = r + b. What is h rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.060296 millennia in decades?\nAnswer: 906.0296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435822.5l to millilitres.\nAnswer: 435822500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8293*u - 528335 = -171736 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + 2*n. Let l = 15 + -13. Let r be x(l). Let d(y) be the first derivative of y**3\/3 + y**2\/2 - y - 147. What is d(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 726, 0, -1, -14 in ascending order.\nAnswer: -14, -1, 0, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13103 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 85*k + 50 + 189*k - 105*k to v*k + w*k**2 + r and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 14, 33, 60, 95, 138, 189?\n\"Answer: 4*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2\/3)*d)\/d*d)\/d)**(-30)*(d*d*d\/d**0*d)**(1\/61))\/((d*d**7\/d)\/d**(-1))**(-2\/77) assuming d is positive.\nAnswer: d**(-45686\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*((-5580)\/(-10168))\/(-45)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 13, -5, -2\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/12 - r**3\/2 + r. Let m be i(-2). Let v be 665\/(-19) + (-468)\/(-12). Solve 2*w - 28 = 3*y - 2*w, m*y - 8 = -v*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(sqrt(156) + sqrt(156) + -1*sqrt(156) + sqrt(156)))\/(-2*(sqrt(12) - -2*sqrt(12) - sqrt(12)) - sqrt(12)))**2.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32899 is divided by 268.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 160222 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/544 and 71\/22.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*b + 6*b = -2, 0 = 3*f + 2*b - 61. Let w = -7 + f. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(-8 - 342\/(-42)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.0885 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 43 - 10. Let w = m - 1. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -143*q + 18. Let y be o(3). Let g = 405 + y. Let h(x) = -x**3 - 7*x**2 - 7*x - 8. What is h(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:30 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2096)\/655)\/((-42)\/(-210)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 421.97? (a) 8\/5 (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/((v*v**(8\/9))\/v))\/v*v*v\/v**(-13))\/(v**(-2)\/((v*v\/(v**(-3)\/v)*v)\/v)))**(-10\/3) assuming v is positive.\nAnswer: v**(-2080\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.157 and 177?\nAnswer: 381.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 55, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 2*p. Suppose -i - p = -0*i. Sort -3, 2, i in decreasing order.\nAnswer: 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 36439524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose -5 = -r*y + 7. Determine v, given that -2*v**3 - v**2 + 2*v**y + 0*v**4 - 3*v**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 - 75 = 14*s - 64 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**2. Let y(i) be the first derivative of 11*i**3\/3 - i**2\/2 - 3. Let a(c) = -5*t(c) - 3*y(c). Find the second derivative of a(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8731 - 8689. Calculate the remainder when 918 is divided by q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a01 - 3?\nAnswer: 19dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(1\/2 + (-4)\/(-8)). Suppose 67 = -j*p - 4*q, 5*p + 66 = 2*p - 3*q. Let g be 16\/84*3 - 72\/p. Which is the smallest value? (a) -7\/3 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-18) - (-3 - 58\/(-18)). Let -2\/7*u**5 - 2\/7*u**3 + 4\/7*u**4 + 0 + 0*u**r + 0*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q + 5*f = -67223165, 4*q + 53778514 = 2*f. Let w = q - -23951089. Let g = 15036459 - w. Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0)**(-26))**(2\/5))**2 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61073.88 centuries in years?\nAnswer: 6107388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17785946 is divided by 247027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185 + -169. Let f be (-22)\/(-7) + 10\/(-70). Solve -5*y + q = -f*y + 4*i, -5*y + 2*i = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/213089, 0.02, -52?\nAnswer: 1\/213089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -39.9778. Let a = d - 0.032. Round a to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = 4*x, 16 = 3*u - 0*x + 5*x. Suppose -u*b = -b + 26. Let o = -18 - b. What is the remainder when 23 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from bnbvbvbbbvvbbvvnvb?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*h = -30, 0 = -w + h + 3*h + 23. Suppose d - 6 = -r, -2 = w*d - 4*r + 8. Suppose d*x = -0*x. What is x rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(1782\/126)*35233\/3203?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18)*15*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24783 - 74348\/3. Factor 0*j + 1\/3*j**4 + z - 2\/3*j**2 + 0*j**3.\nAnswer: (j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/((-704)\/(-24)))\/((-9)\/16809). Let z = 700 + h. Which is the third smallest value? (a) 8 (b) z (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3753.4409 to the nearest ten.\nAnswer: -3750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.13. Let l = i - 0.03. Is l at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66211880 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + z + 4*z)*(3 + 1 - 2) + (2 - 5 + 4)*(-3*z + 2*z + 0*z) to the form q*z + l and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 15*w - 1134. What is s(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from {t: 3, j: 2, a: 13}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -592? (a) -6 (b) -3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) + sqrt(378) + (sqrt(378)*-3*2 + sqrt(378) - sqrt(378)) + sqrt(378))\/((sqrt(60)*-2)\/sqrt(10) + -6*(sqrt(24)\/sqrt(4) + sqrt(6))).\nAnswer: 9*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -84.1. What is the closest to j in -3, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/8 - 14. Let y(s) = -s**3 + 7*s**2 - s + 8. Let k be y(7). Suppose 5*t = -3*o + 2 + k, 5*t - 4 = -4*o. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1. Let n be (-10)\/(-5) - 1*4. Let i(v) = 7*v**2 - 2. Let o(f) = n*d(f) - i(f). Let b(a) = -a. Determine o(b(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 8) to base 15.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a. Let y(g) = -20*g**2. Calculate b(y(q)).\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 + 103*h + 329. Give y(-23).\nAnswer: 1663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 2)*(58 - 4). Let b = -139 - z. Let q = b + -51. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -716 - -815. Calculate the least common multiple of 90 and s.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 15132\/(-5032) + 1 + 4)*12 and -151\/6.\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.022 and -116095?\nAnswer: 116095.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 19*n**2 + 3*n + 641. What is the remainder when 549 is divided by z(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12*u - 158. What is o(-18)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/166 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2795593, 0.4, 1\/4.\nAnswer: -2795593, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27682 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, b: 9}. What is prob of picking 1 b and 2 r?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 24*m - 201. Let y be h(8). Sort y, -3, -24.\nAnswer: -24, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsq when three letters picked without replacement from {s: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64346 + -64347. Suppose -2*k + 5*g = -10, 0 = 2*k + 4*g + 4 + 4. Which is the nearest to 1\/3? (a) q (b) -5 (c) -2\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 35495552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 13*d - 9. What is the units digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 + -9. Let b = 0.1 + f. Let j be (-2)\/(-13) - (1 - (-140)\/(-104)). What is the closest to -6\/11 in -1\/2, j, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 - -331. Suppose 4*m + 126 + l = 0. Let a = -35 - m. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1. Let q(x) = -7*x**3 + 2*x + 3. Let k be q(-2). Let u = k + -52. Let j(y) = y + 8. Let f(n) = u*g(n) + j(n). What is f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1145, -1129, -1111, -1091?\n\"Answer: d**2 + 13*d - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -0*k + 5*k. Suppose k = -2*w + 7*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36055.9008017773 - 1.9590962227. Let x = i - -36058. Let h = -0.14 + x. Round h to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + -133.18. Let d = 195275.8199952 - 195276. Let g = q - d. Round g to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/4 + 3225*w**2\/2 - 12909*w\/4 + 1614 = 0. What is w?\nAnswer: -2152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(21)\/sqrt(3))**2 + 0 + sqrt(63)).\nAnswer: -126 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 903.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - 6) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50065154?\nAnswer: 2, 25032577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -641, -1026, -1411?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/(-28) + (-2)\/4. Solve -8 = -k*o + 5*f + 17, 5*f = 4*o - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 28095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166559201.\nAnswer: 101, 1649101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 3090507.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 - -252. What is the biggest value in -0.2, p, 4\/9, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/53 (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m**4 - 1579*m**3 + 99*m + 45*m + 2140*m**3 - 717*m**2 = 0. What is m?\nAnswer: -48, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8431 a factor of 774899817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -43, 4, -5, 6.\nAnswer: -43, -5, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v*v)**39*v*v\/(v*v\/v**8)*v*v*v\/(v*v**(-11)*v)*v*v*v assuming v is positive.\nAnswer: v**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1029 and -97\/3675.\nAnswer: 25725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 50. Let g be v(-26). Factor -4 - g - 2 - 3*j**2 - 9*j + 2.\nAnswer: -3*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + a549a6?\nAnswer: a549a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -73 + 158 - 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -73.62?\nAnswer: -73.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000756151 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/(-4))\/5)\/(2490\/(-1992))*-1*13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*k + 4, 90*u - 2 = 91*u + 2*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -138, 3\/4, 3.6, -0.4, 7 in descending order.\nAnswer: 7, 3.6, 3\/4, -0.4, -26, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -17. Suppose -11*s - 357 - 3482 = 0. Let c = -338 - s. Are c and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14971 - 1171 = -276*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 28*o + 16. Let f be d(4). Suppose -2 - f = -5*n. Suppose 8 = 3*q - 13. What is the remainder when n is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 - m + 144. Let n(x) = x - 5. Let a be n(5). Let p be s(a). Suppose 0 = 13*d - 7*d + p. What is d rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 11 = -10. Suppose -r*y + 13 = -23. Solve -z - 3*z = -y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 25 + 28)*(0*o**4 - 5*o**4 + 3*o**4) - 77*o**3 + 12*o**4 + 77*o**3.\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - ((sqrt(1400) - -2*sqrt(1400) - sqrt(56)) + sqrt(56)))\/((2*sqrt(288) - sqrt(288)) + sqrt(288)) - 1*(4 + -3*(sqrt(7) - sqrt(28)) + -5))**2.\nAnswer: -25*sqrt(7)\/3 + 4411\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 equal to 528\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206.6 - 206.7. Put -9\/40, -2, w in descending order.\nAnswer: w, -9\/40, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(8)\/sqrt(4)) + -1.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -41133*c + 370226. What is k(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -356 + 613. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -14, -5\/6, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -515, -1204, -2169, -3410?\nAnswer: -4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511304918?\nAnswer: 2, 3, 43, 79, 74149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y**2 - y + 13. Let o be i(3). Suppose -3*p = 2*g - 77, 0 = -3*g - 3*p + o - 43. Let v = -25 + g. Solve -v = -2*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/49 (c) -2\/7 (d) -4\/5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/39))**45)**41)**(-20) assuming f is positive.\nAnswer: f**(-492000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3 - 9*c**2\/2 - 5*c - 273. Let n(h) = -6*h**2 - 8*h - 4. What is -7*n(g) + 6*p(g)?\nAnswer: 6*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8397889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-110)\/(8800\/(-60))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*o**5 - 2*a*o**3 - 21*a*o**2 + 19685*a*o - a - 27*o**2 wrt o.\nAnswer: 60*a*o**3 - 12*a*o - 42*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 7*r - 45. Suppose r*c + 9 - 24 = 0. Solve c*v + 3*y + 0*y = -3, -3*y = 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0.3, -1.8, 5\/4, -2\/557 in decreasing order.\nAnswer: 26, 5\/4, 0.3, -2\/557, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1c30 (base 16) to base 3\nAnswer: 100220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o - 1793 = -1039 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 37*o + 3577 = 0. Let x = 77 - 112. Let p = o + x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (126\/45)\/((-6)\/15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*y = 22, 5*o + 2*y + 0 = 2. Let v(s) = s**2 - 2. Let h be v(o). Is (812\/21)\/(h\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -21.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-92)*6\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 - 14284*v + 71370 = 0.\nAnswer: 5, 7137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 43*m**2 + 109*m + 33. Let i be w(-40). What is the highest common factor of 86 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 91671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 178. Let q = -4 - r. Let z(m) = -4*m + 2. Let p be z(-2). Which is the second smallest value? (a) p (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179 and (4\/(8\/6))\/(-41 + 44).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 12. Suppose 0 = 2*i + 31*i - 132. Calculate u(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 239, 1360, 4401, 10322, 20083, 34644, 54965?\n\"Answer: 160*m**3 + m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*x**2 - 800\/7 + 2\/7*x**4 + 2398\/7*x + 794\/7*x**3 = 0. Calculate x.\nAnswer: -400, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414364130 - 97508.\nAnswer: -414461638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/11 - 1200*s**4\/11 + 550*s**3.\nAnswer: -2*s**3*(s - 5)*(s + 605)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*3.21\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 24492, -4718, 4 in ascending order.\nAnswer: -4718, 4, 24492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4184 is divided by 463.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/12 - 5*t**3\/6 + 2*t. Let z = 159 + -164. What is j(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35.25 and 1389.\nAnswer: 48962.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-19))**(-50) assuming r is positive.\nAnswer: r**950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + (3 - -6*14) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -117, -115, -113?\n\"Answer: 2*o - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5176503 + -5176516.300708. Let p = -180.7 - -194. Let l = v + p. Round l to five decimal places.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2454\/65 + 188\/5. Which is the nearest to -0.47? (a) 2 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445700 and 5100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 7285220303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhjhuhhffunfhvfvh. What is prob of picking 1 h, 1 f, and 1 n?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -9 - 45. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -287 (b) 7 (c) -4 (d) -0.5 (e) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l. Let n(r) be the second derivative of -2*r**3\/3 + 8*r. What is n(s(o))?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3172, -4, 2, 1 in increasing order.\nAnswer: -3172, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6936, 13876, 20816, 27756, 34696, 41636?\nAnswer: 48576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(175) + -4) + -2*(sqrt(175) - (sqrt(175) + -1 + 1) - sqrt(175)))**2.\nAnswer: 320*sqrt(7) + 2864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.027279725271.\nAnswer: -3.027279725271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2268 + 3956. Suppose -3*b + i + 199 = -3*x, -4*b + 3*x + 2518 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 + 7*l - 7. Let g(s) = 2*s**3 - 8*s**2 + 13*s - 13. Let p(w) = 4*g(w) - 7*t(w). Let y(c) = -c + 2. Let m be y(0). Calculate p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263153 (base 13) in base 15?\nAnswer: -132c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 13. Let v be o(-9). Calculate the remainder when 36 is divided by (-12)\/66 + (-290)\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -13*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1762908 (base 10) in base 4?\nAnswer: -12232121130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151584 - -102416. Round d to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + (-1 + sqrt(700))*6 + -3 + -5)*-1)**2.\nAnswer: -2400*sqrt(7) + 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knt when three letters picked without replacement from tttttttttnttkttkt.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 194*a**2 - 1580*a - 91. Give p(9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10)\/(1\/(-5)). Suppose -1911*p = -1894*p + 2*q - 70, 2*p + 5*q = 13. Solve 5*o - p*w = -z*w + 12, o + 2*w = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -4)*1*(-4)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 8*w + 16. What is the hundreds digit of v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4503, -0.12, -1\/9 in decreasing order.\nAnswer: -1\/9, -0.12, -4503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.004321 millennia in centuries?\nAnswer: 50.04321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/5 + (-1274)\/(-245)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -1, -5, -7 in decreasing order.\nAnswer: 6, 5, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f + 2. Let m be s(-1). Let t(h) = h**3 + 2*h**2 + 2*h. Let d be t(-2). Let u be (-1 - d)\/(-18)*-2. Which is the nearest to 3? (a) u (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*1*-6*1)\/(sqrt(1331) + sqrt(1331)*-2 + (sqrt(88)*1)\/sqrt(8)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 3*w**2 + 4*w - 5. Let k be q(5). Let a(x) = x**3 + 34*x**2 - 36*x - 34. Let t be a(k). Let n(v) = 10*v + 2. What is n(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {v: 2, k: 4, n: 5}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**4\/24 + 3*o**3\/2 + 19*o**2 - 2*o. Let a(h) = 8. Give -6*a(m) + 5*j(m).\nAnswer: 5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 468863093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 234?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.3 minus 15191867737?\nAnswer: -15191867783.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 100 = -2*r, 0 = -9*q + 5*r - 34 - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61\/35617 or -1?\nAnswer: 61\/35617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4413, -8830, -13245, -17658?\n\"Answer: k**2 - 4420*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*u = -305*u + 143*u + 1078. Let f(i) = -4*i + 2*i**2 + 4 - 4. Calculate the remainder when u is divided by f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4131) + sqrt(4131)*-1 - sqrt(4131)) + sqrt(51) - sqrt(153)\/sqrt(3)*-1)\/(sqrt(9)\/((sqrt(18)*-3)\/sqrt(6) - sqrt(3))).\nAnswer: 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 63*z**3 + z**2 + 11*z. Let p(k) = -13*k**3 - 2*k. What is 2*o(j) + 11*p(j)?\nAnswer: -17*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7726000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.01, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*j**4 + 734*f*j**3 + 307*f*j + 2*f - 2*j**2 wrt j.\nAnswer: -48*f*j + 4404*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3678)\/45*-6 - 2\/5. Suppose 11*u - d = -490. Let s = -1.7 + 2. Which is the closest to u? (a) 0.2 (b) 0.7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -361*c**8\/336 + c**7\/210 + c**4\/8 + 242*c**3\/3 - 698*c**2. Find the second derivative of s(w) wrt w.\nAnswer: -7220*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 66*u**2 - 71*u + 387. Let h be m(65). Sort 3, -20, h.\nAnswer: -20, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003326 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125294 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v**2. Let l be z(2). Solve 0 = -l*n + 2*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:52 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r*r)**(-38)\/((r*r**(2\/7)\/r*r*r)\/r)**24)**(4\/7) assuming r is positive.\nAnswer: r**(-1928\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102018 is divided by 101950?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056096 rounded to 4 decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159609788624486\/58311 + 24634940848\/9. Let d = -1296\/11 - x. Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3472 - 869\/3472. Let p = -1 - -0.9. Put f, p, -1\/3, -0.9 in descending order.\nAnswer: p, f, -1\/3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose a - 28 = -3*r, -19 = -j*r + a - 2*a. Let m(v) = v**3 - 8*v**2 - 10*v + 13. Let l be m(r). Solve 4*t - l = -0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -52, -6 in decreasing order.\nAnswer: 1, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 443153 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/174680328 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 u when three letters picked without replacement from {a: 3, u: 2, i: 7}?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/5, -2, 0.4, 11\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/(-91) - (-29)\/7. Solve -5*w - 1 = -f*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20 = 6*a, 17 = -v + 4*a. Suppose v*j + 84 = -4*w, w - j + 0*j + 21 = 0. Let s = w + 35. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 128\/(-20). Find the common denominator of ((-154)\/189)\/(8\/x) and -127\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/10 + q**4\/3 + q**3\/2 + q**2\/2 + 38*q. Let g be a(-2). What is the second smallest value in 4, g, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/43497 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/60 + u**3\/6 - u**2. Suppose 1 - 4 = -3*w. Let g(d) = 0 + 6*d**3 + w - 5*d**3 - 2. Give -c(i) - g(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/15402 and 46\/59109.\nAnswer: 17850918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3 - 4321*o**2 - o - 219241 wrt o.\nAnswer: 6*o**2 - 8642*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/10 + -38\/5. Let w = 2.95 + 0.05. What is the closest to 2 in w, i, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -4, -0.1, -6, -0.2, 0.17, 1\/307?\nAnswer: 1\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*u - 290*u + 2202 = 0. Find the second derivative of 734 + 43*v - u + 158*v**3 wrt v.\nAnswer: 948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 3 + (-1 + 0 + 4)*(3 - 5 + 3))*(0 - 3 + 1)*(-3 + 0 - 8)*(3*k + k**2 - 3*k).\nAnswer: 198*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 15*a**2 - 16*a + 4. Let t be b(-16). Suppose 0 = -3*j - t*j + 42. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51110 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -158, -368, -672, -1076?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -770*a**2 + 191*a**2 - 821*a**2 as l*a**2 + x + t*a and give l.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 10*r. Let p(u) = -u**3 - 7*u**2 + 9*u - 4. Let s be p(-8). Does 9 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110840105.\nAnswer: 5, 23, 269, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 25, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417021091.\nAnswer: 417021091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0590822 - -0.084?\nAnswer: -1.9750822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 37 - 9)*(-s - 2*s + 2*s) + 1 + s - 1.\nAnswer: 113*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*y - 4*y - 21 = 0, 4*z + 15 = -y. Let m be (5 + z - -3) + 20. Is 319 - (-2)\/((-10)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*y + 553939529 + 73260471. What is y rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = -20. Let i = g + 4. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y + 14. Let o be s(-10). Let z = -91 + o. What is the remainder when z is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176*(-42)\/(-336)*-1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -1048*g**5\/3 - 73372*g**4\/3 - 451968*g**3 - 2509756*g**2\/3 - 1240048*g\/3 - 4624 = 0.\nAnswer: -34, -1, -3\/262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 2. Let f be j(4). Suppose -r - i = -1, 2*r = -3*i + 121 - 118. What is the closest to r in 1\/3, f, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*z - 52. Suppose 0 = -6*c + 100 - 94. Calculate the smallest common multiple of c and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = -11. Let w(h) = 22*h + 65. What are the prime factors of w(x)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*c + 12 = 4*v, -2*c = -v + 2. Let s = 14 - v. Suppose 5*g - 15 = 0, u + 3*g = s*u + 22809. What is u rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 20. Suppose w*t - 23 = -5. Suppose 14 = -t*m - 10. Is -4 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*w + 13 = 0, -2*x + 8 = 5*w + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/1139286 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7987 = -16*t - 8147 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 minutes after 5:20 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 6 - 2. Let h = 16 + -15.8. Let r = 79 + -74. What is the closest to 1 in h, r, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*j*p**3 - 2*g*j*w + 86*g*p**2 + g*p*w + j*p**3*w - 657*j*p**3 + j*p*w + 4*j wrt p?\nAnswer: 18*g*j + 6*j*w - 3942*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-6))\/(2\/(-6)). Suppose h = -w*h. Let m be h + (-2 + 2)\/3. Solve -4*c + b = -m*c + 4, -c = 3*b + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.86 - 1.16. Let y be (-2)\/(-3)*(-6)\/(-8). Which is the second biggest value? (a) y (b) -0.8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 57869*g + 193 - 57869*g as z*g + h*g**2 + a + t*g**3 and give a.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -353.66819 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 30*i + 94*i - 33*i - 26*i - 12 + 33.\nAnswer: 5*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 - -92. Let p(d) be the third derivative of -d**4\/3 - 3*d**3 + 7*d**2. What are the prime factors of p(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 13*m + 2031. Let p be g(52). Solve -2*w + 4 = -6*r + 9*r, 4*r = p*w - 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -287 - -154. Let m = 663\/5 + h. Is -1 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + (-10792)\/627)*(-6)\/4?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 9, w: 1, m: 4, n: 1}. What is prob of picking 1 w and 1 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300362, -300372, -300388, -300410, -300438, -300472, -300512?\nAnswer: -300558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*r + 13. Suppose 0 = -3*u - 4*y + 13, 0 = u + 4*y - 7. What is the remainder when r is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4358 + 7438. What are the prime factors of p?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9933822, -9933824, -9933828, -9933834, -9933842?\nAnswer: -9933852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2 + 146. Let c(h) = -194*h**2. Determine x(c(g)).\nAnswer: -388*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232796675 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/338168 and -22\/126813.\nAnswer: 1014504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxb when four letters picked without replacement from {k: 2, x: 2, b: 4, d: 1}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -17 - (-1 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-54)\/(-135)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.5, 751.\nAnswer: -0.5, 2\/7, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12000)\/500)\/((-8)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 81 + 37 + 44 + 0*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 1. Let m(q) = 4*q - 1. Let f(s) = 7*d(s) - 5*m(s). Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*p - 70*p + 1535440 = 7753355. What are the prime factors of p?\nAnswer: 5, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + 0*z + 5*z in the form s + c*z and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/21)\/(-8*2\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 859 and 4448761?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171713803 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 180*d**2 - 19*d - 47. Let n be b(13). Suppose -17*u + 57203 = -n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, b: 8}. Give prob of picking 1 g and 1 b.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1035, -5, -6.8, 1, -3 in increasing order.\nAnswer: -1035, -6.8, -5, -3, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -7.03. Let o = -65129\/4 - -8401547\/516. Let g = o - -15\/43. What is the second smallest value in p, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48302686*w**2 - 106024559?\nAnswer: -96605372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -5\/344, 1, -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 79. Let d(a) = -6*a - 1. Calculate d(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -95*u**2. Let w(t) = 4*t**2 + 5*t + 5. Let r(l) = -3*l**2 - 4*l - 4. Let o(a) = 5*r(a) + 4*w(a). Give o(q(f)).\nAnswer: 9025*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0)*5\/(60\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1671)\/(-66840) + 226\/560.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*s = s - 428, 5*s = -5*b + 2090. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460725037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3479 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((sqrt(34)*-2 + sqrt(34))*2 + sqrt(34))\/sqrt(2) + -2.\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289527 = -13*x + 125693. Suppose 3*q + x = p + 6*q, -4*p = 3*q - 127760. What is p rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10287 and 19037691.\nAnswer: 19027404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 95. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2423655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39423452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -743, -6 in descending order.\nAnswer: 95, -6, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2674504496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1646 - 549 - 547 - 6227*o**2 - 550 to x*o**2 + f + k*o and give x.\nAnswer: -6227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 3*h + 2. Suppose 0*a = -2*a + 2*y - 2, 3*y - 9 = 0. Calculate b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -446, -461, -470, -461, -422?\n\"Answer: 2*k**3 - 9*k**2 - 2*k - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 3 + 1 - (22 - 23). Let h(s) = -102 + 7*s**3 + s**2 + s + 100 + 0*s**i - 2*s**3. Let x be h(1). Solve 2*j + 19 = 4*q - q, -x*j - 28 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201020 - 1010001221?\nAnswer: -222100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 33*z + 1399. Calculate the remainder when t(-51) is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (182*g + 2*g**2 - 172 + 172)*(6*g - 3*g + 0*g) to c*g + q*g**3 + n*g**2 + y and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/5152 and 43\/16.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 4 + 2 + 3. Let a(l) = l**2 - 7*l - 11. Let t be a(8). Let c(d) = -d - 1. Let q(m) = t*z(m) - 4*c(m). Calculate q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 20 = 15*x. What is the third derivative of -18*r**2 + x*r**3 + 51*r**2 + 3*r**3 wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88400 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/48 and -35\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1835 - 902 + 1605*d - 933 in the form z*d + j and give z.\nAnswer: 1605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/3 - 48797*l**2 + 439166*l\/3 - 97592 = 0. Calculate l.\nAnswer: 1, 2, 146388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(88)\/sqrt(32) - (5 + sqrt(33)\/sqrt(3)))**2 - (-1 + (-5*(-1*sqrt(11) + sqrt(11))*3)**2)).\nAnswer: 5*sqrt(11) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - -651?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 22. Let l be u(9). Suppose 3*k - 5*w - 6828 = -589, 0 = 3*k + l*w - 6257. Let n = -1460 + k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(77) + -4*(sqrt(77) + 3*sqrt(77)))\/(-4*sqrt(700)*1 + (4*2*sqrt(700) - sqrt(700)) + sqrt(700)).\nAnswer: -7*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20091 equal to 7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2539 - -5079\/2. What is the closest to 2\/19 in -2, n, -4, -4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -91. Let n = -2055 - -2060. Solve -10 = j*c - n*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + p - 14*p = 12838, 3*l + 3*p = 7638. Calculate the highest common factor of l and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90411573.\nAnswer: 3, 7, 631, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 i when four letters picked without replacement from {i: 4, c: 6, f: 3}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + j = 860. Suppose -11*r + j = 31. Solve -8 = 2*i + 3*b, -r*i - 1 = -0*b - 2*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597324433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 233891?\nAnswer: -117\/233891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -8*d + 1000. Calculate the greatest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*y + 18, 2*c - 2 = -3*c + 2*y. Let i be ((-2)\/(-3))\/(c\/(-3)) - -3. Solve -i*z = -4*q + z - 7, 1 = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/28 - 4*-1. What is the first derivative of -5*k**b - 9*k - 62 + 13 - 7 + 7*k**4 wrt k?\nAnswer: 8*k**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27.3 and 5200.099?\nAnswer: 5172.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 580873.9 nanometers?\nAnswer: 580.8739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/8 + 9*g**3\/2 - 103*g**2\/8 - 477*g - 1729\/2 = 0. Calculate g.\nAnswer: -7, -2, 19, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 35 = 14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117031\/9 + -13008. Let c = 1\/30423 - -659122\/1308189. Find the common denominator of i and c.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-50) - (3 - 1). Put 0.02, -3, x in decreasing order.\nAnswer: 0.02, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/4)\/(-1))\/(1020\/(-816)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**2 + p**2 + (-3*p + 5*p - p)*(-p + 0 + 0 + (-1 - 4 + 3)*(2 + p - 2)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((64\/12)\/(-8))\/((-4)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 27314.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -152000063?\nAnswer: 152000060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45066798 divided by -63\nAnswer: -715346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + ((3*sqrt(156) + sqrt(156))*-5)\/(sqrt(300) - (sqrt(300) - (sqrt(300) - (1*sqrt(300) + sqrt(300)))) - sqrt(300)))**2.\nAnswer: 20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwstwtwqqwt. What is prob of sequence wq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*o**2 - 4 - 2*o - o**2 + 2*o + (3*o + 2*o - 7*o)*(3*o - 3*o - 2*o) + 14*o**2 + 4*o - 4*o.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n**3 - 5*n**2 + 8*n - 2. Let a be h(4). Suppose a + 158 = 11*q. Calculate the greatest common factor of q and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 - 17*n**3 + 82 + 7*n**3 + 0*n**3 + 3*n**3 - 518.\nAnswer: 2*n**3 - 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:57 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22460814.\nAnswer: 2, 3, 138647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*x + 32 + 8, 4 = -2*x - 4*y. Solve -4*f - 2 = 3*n, 0*f + x = -2*n + 2*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3977*y + 560*y - 718*y**4 - 359*y**4 - 1093*y wrt y.\nAnswer: -12924*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/5 - 22*g**3\/5 - 26*g**2\/5 + 22*g\/5 + 24\/5 = 0. What is g?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3) + 1 + sqrt(4)\/(sqrt(6)\/sqrt(3)))*-2*4.\nAnswer: -16*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p = 597023084 + 161327916. Round p to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-18 + 1144\/66). Let d = 142 - 988\/7. Determine n so that d*n + 0 - 9\/7*n**v - 3\/7*n**4 + 3\/7*n**5 + 3\/7*n**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 560*u + 764*u - 187*u - 36 + 32.\nAnswer: 1155*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-63)\/27)\/(4\/(-11)) and 89\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.0283\nAnswer: -0.0283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - h. Let l be i(-1). Suppose l*c = b + 2*b + 4, 0 = 5*b - 5*c + 10. Solve b = 4*r + r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(1500))\/sqrt(2))\/(-3*-4*sqrt(6)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2492 - -0.0292. Let m = r + 1.32. Which is the closest to 0? (a) 44 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 445 + -445.6. Which is the smallest value? (a) 1\/2 (b) n (c) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or 1084343?\nAnswer: 1084343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13 - 2*m**2 + 3*m**2 - 22*m + 32*m. Let g be n(-9). Suppose 0 = g*s - 168 - 16. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -3261\/56920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, 24.3, 11\/4, 0.067, 0.2 in decreasing order.\nAnswer: 24.3, 3, 11\/4, 2\/3, 0.2, 0.067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n - 4*x = -19, 5*x = 2*n - 64. Suppose 0 = -b + 10*b - n. Solve a - 2 = -b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649 by -46.\nAnswer: 649\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + 459. Let j = o + -342. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 315 - -353644?\nAnswer: 354262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 501463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86381363 is divided by 3871?\nAnswer: 3869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/742 - 115640\/(-2968)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gooo when four letters picked without replacement from {o: 3, r: 4, a: 5, g: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 58 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/99 and 41\/30.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**13*k**(-4\/3))\/(k**(-2))**(3\/22))**(1\/32) assuming k is positive.\nAnswer: k**(-431\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) -2\/7 (c) -4 (d) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -12, -58, -134, -246?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyy when three letters picked without replacement from yyyoovdvvgogdvdg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 23. Let s be -1 + (m - (2 - 1)). Find the second derivative of -r**2 - 122 + 122 - s*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))**50\/((((b*b**(8\/3)*b)\/b)\/b*b)\/(b**(-4)*b)))**(-20) assuming b is positive.\nAnswer: b**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 275*k**2\/2 + 20*k - 6. Suppose -14 = -5*s - 44. Let t be b(s). What is t rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 x when three letters picked without replacement from {x: 1, q: 4, b: 5, f: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22826 + 2*k**2 + 22830 - 45648 - 2*k**2 - 6*k + k**2 to q*k**2 + i + p*k and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(950) - sqrt(950))\/sqrt(2))**2 + 0.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b)**(-2\/71)*b**(-17)*b**(-16) assuming b is positive.\nAnswer: b**(-11721\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154516559.\nAnswer: 179, 269, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/336 - r**6\/240 - 3*r**5\/160 + r**4\/96 + r**3\/24 + 6*r. Factor y(k).\nAnswer: k*(k - 2)*(k - 1)*(k + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.701 - 0.219. Let v = -0.08 + y. What is the second biggest value in -0.5, v, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + (-10 - (-6 + -2) - -10). Let i(t) = 43*t**3 - t**2 + 3*t + 3. Determine i(k).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y - 4*w + 206, -3*y + 291 = -3*w. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 693 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 - 22. Suppose 9*m - 2244 = -41*m - 137*m. What is the least common multiple of k and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**29\/y**(-3\/10) assuming y is positive.\nAnswer: y**(293\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/467500 and -19\/215050?\nAnswer: 10752500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-10)\/60*-18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 15) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-941 - 11)*(-26)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/50)\/(30808\/(-19255)))\/(1\/(1*5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 8 = -2*p, -5*p + 48*l - 17 = 49*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2578 is divided by 788?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6306940 and 327960880.\nAnswer: 327960880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 494*z**3 - 344*z**3 - 245*z**3 + (6*z - 4*z + z)*(2*z**2 - z**2 + 0*z**2) in the form t*z**3 + l + j*z + r*z**2 and give t.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 15*j - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t + 22*t + 180 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**4*u*u**(1\/12)*u assuming u is positive.\nAnswer: u**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 17 = -3, -2*b + 3*n = -4057. Solve -b*k + 2031*k + 32 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c - 7*c. Let k = -0.46 - -0.16. Put k, -4, c in ascending order.\nAnswer: -4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 419*m. Let z(r) = -1283*r - 1283*r - 1283*r + 3852*r. What is z(p(b))?\nAnswer: 1257*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519978, -1039765, -1559552?\nAnswer: -2079339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let y(p) = -3*p - 20. Let v be y(-8). What is the second derivative of -9*z - 3*z**5 - v*z**5 + 16*z**d wrt z?\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4228\/46 - (-30 - 46784\/(-1564))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 14*y. Let s = 183 + 289. Suppose y*z = 4*z - s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11025899*p**3 + 6314519.\nAnswer: 33077697*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066553435 to 5 dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f + 3*a - 16, -a - 8 = 3*f. List the prime factors of 61 + -5 + -20*2\/f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9069 - -24683. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -229*p + 232*p + 4*b, -4*p + 3*b - 140 = 0 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6680 (base 11) in base 15?\nAnswer: -291a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - -5 - (-2 - 504) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -115?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Let g(i) = -4*i - 3 - 3*i - 4 + 5. Let l be g(-3). Let u(k) = 0 + 0 - 15*k**2 + l*k**2. Determine u(r(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318170043.\nAnswer: 3, 35352227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210227021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -16.25. Let q = -0.85 - k. What is the closest to -1\/3 in 0, 0.4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6428.8 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 194*d - 224*d + 330. Solve 10*u - 10 = d*u - 3*o, 4*o - 10 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.2 + -0.8. Let x = 10.0049 + u. Round x to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - 42*(-1)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a\/a**(-1\/13))\/a))\/(a\/((a*a**(-2\/5)\/a)\/a)))\/(a**1\/((a\/a**(-5))\/a)) assuming a is positive.\nAnswer: a**(99\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179646 and 894440?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35135*w**4 - 60*w**3 + 16214643*w**2.\nAnswer: 843240*w - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-4))\/((-104)\/(-234000)). Find u such that 225\/2*u**2 - d*u - 5\/2*u**3 + 16875\/2 = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 23*d**2 - 23*d + 25. What is i(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 362551969 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 10, 0.1, -17 in decreasing order.\nAnswer: 10, 0.5, 0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 1067\/121 - 14\/(-77).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78518029?\nAnswer: 78518029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/2 - 10387137*k\/2 = 0.\nAnswer: -10387137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 33*u + 674 = -31*u, 0 = 4*z + 5*u - 2693. Calculate the greatest common factor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a - 1. Let h(w) = 3*w**2 + 8*w - 4. Let d(f) = h(f) - 2*r(f). Let o be d(-6). Let z be (-4)\/o - (-5 + 2). Solve z*v = 5 + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i + 2852 = 159*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -978 + 976. Let t(i) = 512*i**2 + 4*i - 2. What are the prime factors of t(a)?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 + p - 2. Let y = 19 - 11. Calculate the remainder when u(-3) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 8662?\nAnswer: 69296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -9 + 1 + 256 + -12. What is the highest common factor of v and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16261\/169 < -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/130*(-6)\/((-12)\/(-5)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354 - -373. Calculate the remainder when 645 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 3*d**4 - 3*d**4 + (-2 + 6*d**4 + 2)*(-6 + 2 + 2) + 4*d + 2*d**4 - 4*d.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 3837762?\nAnswer: -3837765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -15. Suppose s*l - 16 = 2*l. Calculate the highest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = -4*y + 2*y - 2*f, 4*f = -2*y - 640. Are -325 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -109 - 27. Solve 0 = 5*k + 39 - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 3\/7 (c) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(12\/2 - 2). What is the third derivative of 145 + 9*q**4 - 15*q**w - 145 wrt q?\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 756261*z**3 + 167293971*z**2.\nAnswer: 4537566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxxaxxaxxxxxxaa. What is prob of sequence xa?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -5, 3, 17, 37, 63?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + m - 1 + 3*m**3 + m**2 - 2*m**3. Let c be (-36)\/14*(-14)\/(-3). Let x be (-2)\/c - (-11)\/6. Give r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54834)\/24)\/(-13) + (-2)\/(-8). Let h = 384 - s. Suppose 6*g = -2*g + h. What is the remainder when 51 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4589184 by -7104.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 1077159?\nAnswer: 1077154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*h**3 - 3*a**3*h**2 - 220*a**3*h - 4*a**2*h**2 wrt h?\nAnswer: -6*a**3*h - 6*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5474953785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23469 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 8. Let l be (3\/(-2))\/(g\/(-24)). Suppose -4*c - d + 16 = 0, l*c + 14 = 2*c + 5*d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*b + 3. Let z = b - 3. Let m = -7 - z. Which is smaller: -4\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 1\/4, -2, -3\/7 in increasing order.\nAnswer: -2, -3\/7, -0.42, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -74*f**2. Let d(p) = -3*p - 10. Let n(z) = z + 4. Suppose 0 = -3*w + 4*q - 6, 4*w + 8*q - 6*q + 8 = 0. Let h(i) = w*d(i) - 5*n(i). Calculate h(y(k)).\nAnswer: -74*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -8101548?\nAnswer: 16203096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*t**3\/4 - 567*t**2\/2 + 720*t - 600 = 0. Calculate t.\nAnswer: 2, 20\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 7 - 37. Suppose -x = 3*o + 21. Let h be (-132)\/o - 2\/3. Is 14 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/3 + 3\/(-9). Let y(h) be the second derivative of h**4\/12 + 5*h**3\/6 + 7*h**2\/2 - 123*h - 2. What is the tens digit of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/385)\/(692\/(-3633))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -261 in -8, -2\/5, 0.1, 1, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2633789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3 = -3*b, 0 = -3*b + 5*f + 68 - 71 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + y - 4 = 0, 0 = 3*u - 5*y + 21 - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7277*j**3 - 2*j + 7278*j**3 + 2*j + 0*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/(-210))\/(1\/10*2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -24 (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2000) - 1*sqrt(2000)) + -5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004433 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46, -33, -12, 17?\n\"Answer: 4*c**2 + c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 7*y - 6. Let f be (-3)\/(-2)*16\/4. Let a be i(f). Suppose -4*l = -a*l + 16. What is the smallest value in -5, 3, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 11) to base 3.\nAnswer: 100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28891 or -28896?\nAnswer: -28896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 45 - 16)*(-50*x + 2599 - 2599)*(-x + x - 2*x).\nAnswer: 1700*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 2, 0.2 in descending order.\nAnswer: 123, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 7 = 2*y. Let o be 8\/28 + 306\/7. What is the greatest common factor of y and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. Suppose -o = -3*u + u. What is the third derivative of -6*q**u + 3*q**2 + q**5 - 3*q**5 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1\/5, -33, 2\/17, -2\/17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -95, 4 in increasing order.\nAnswer: -95, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 6*z - 21 = a, 0 = 5*a + 3*z - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/120 - m**5\/60 - 5*m**4\/24 - m**3\/2 + 2*m**2. Solve j(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728*m + 734*m = 30. Suppose 5*b - 3*b = -c + 1384, -2*b + m*c + 1396 = 0. Suppose -2*l + 2 = -124. Calculate the greatest common factor of b and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 2*q + 4, -63*x - 19 = -61*x - 5*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585507109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - (-2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -744 by 6.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356879?\nAnswer: 3, 452293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/10, 1\/3, -0.2, -5, 7.1, -0.1?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490712?\nAnswer: 2, 61339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 8. Let x be (-20)\/(-8) + (-5)\/10. Find the first derivative of x*h**2 - 2 + 2*h**2 - 7*h**o wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 200.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*r**2*s**2*v - 100*r**2*s*v - 2*r**2*s + 8*r*s**2*v - 5*r*s - 622*s**2*v wrt r.\nAnswer: -92*s**2*v - 200*s*v - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.1 + 12. Let d = -0.1 - c. What is the second biggest value in -0.3, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuuouuououuuuuuuu.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -13*r + 16. Let y(t) = -66*t + 81. Let s(o) = 24*j(o) - 5*y(o). Differentiate s(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67818 - 67818 - 2118*v**2.\nAnswer: -2118*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 672942 and -43.8.\nAnswer: 672898.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + n = -3*f + 24690, f - n - 6175 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 50 = -u + 5*n, -5*u + 170 = -5*n. Let q be (u\/(-6) - -1)*-1. Which is the nearest to 0? (a) -1\/3 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/(-82)*-6*(-7)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 143?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:40 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 590303?\nAnswer: 143\/590303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -6\/19, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -1\/4 (b) 1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (sqrt(833) + -1)*-4 - (5 + sqrt(833) + 0 + sqrt(833)))**2 + 5 + 2.\nAnswer: 70*sqrt(17) + 20833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -19*(3 - 6 - -4). Let g be (-5)\/(-2) - z\/(-38). Let j(o) = 5*o**g - 16*o - 2*o**2 + 16*o. Let x(w) = 7*w**2. Give j(x(h)).\nAnswer: 147*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1089, 5069, 11709, 21015, 32993, 47649, 64989, 85019?\n\"Answer: y**3 + 1324*y**2 + y - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 8, -9\/5, 0.3, -2, -10 in descending order.\nAnswer: 120, 8, 0.3, -9\/5, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 139.4818 * 4\nAnswer: 557.9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 3*h**5\/20 + 18*h**4 + 714*h**3 + 6936*h**2 + 577*h. Factor n(w).\nAnswer: 3*(w + 4)*(w + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1) + (2 - 2). Let w(d) = -2*d**3 + 3*d**2 - 2*d - 2. Let b be w(y). Is 2 a factor of b\/(5\/((-10)\/4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = 2*q, -3*k - 4*q + 6*q - 15 = 0. Let p = -19 - k. Let c = -9 - p. Solve c*f + 9 + 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/36 and -137\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223423200 (base 5) in base 3?\nAnswer: 12112221221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, q: 5, u: 1, a: 1, v: 2, d: 1}. Give prob of sequence ut.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/6, 2, -2\/9, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -4344794\nAnswer: -14\/2172397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 65 = 5*z, 50 = -5*z + 9*z + 2*a. Suppose -4*n + 5*y - 3*y + 18 = 0, 5*n = -3*y + 39. What is the remainder when z is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143332, 573440, 1290286, 2293870?\nAnswer: 3584192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 875136 and 360512?\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7764, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 248.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 2840 + (-6 - -8) + -7. Suppose 4*q - 2*k - 3838 = 0, 5*q + 2*k - 1948 - i = 0. List the prime factors of q.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 799 = 4*c - 225. What is the highest common divisor of 32 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 = -4*a + 15*t - 11*t, -2*t = -3*a + 803. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 27*d - 4. Let n(t) = -14*t + 2. Calculate -4*f(c) - 9*n(c).\nAnswer: 18*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 5. Let g be i(-4). Calculate the greatest common factor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/2327701?\nAnswer: 2\/2327701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30))\/(960\/800)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -6065*d**8\/28 + d**4\/12 + 1543*d**3\/6 + 2959*d - 2. Find the third derivative of p(n) wrt n.\nAnswer: -1455600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 151811.\nAnswer: 8\/151811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*m - 4. Let l(j) = 15*j**3 + 13*j**2 + 21*j - 2. Let d be l(m). Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*t - 4*r, 2*t + 19 = -2*t - r. Let z = t - -6. Find the third derivative of 3*k**6 + 2*k**z + 0*k**3 + 0*k**3 wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*x - 2*x + 23, 4*x = -3*i + 17. Let r = 0.218 + 1.782. Which is the biggest value? (a) r (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbsclkkkkklk. What is prob of sequence kl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**4\/12 - g**3\/3 - g**2\/2 + 6*g. Let v(h) = -h - 1. Let s(b) = -3*a(b) - 3*v(b). Factor s(i).\nAnswer: 3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 + 4 = 0. Let p be ((-1)\/(-2))\/1*-38. What is the remainder when 36 is divided by (1\/k)\/(1\/p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*6\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k**2 - 7*k**2 + k**2 - 57205 + 57158 in the form b*k + c*k**2 + z and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 14. Let i be j(9). Suppose 4*y - 115 = i*d, -y + 1 = -3*d - 19. What is the remainder when y is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 10. Let p be d(10). Suppose 0 = 2*j - 12 - p. Suppose 58*t = 60*t - j. Solve o - 2*r + 3 = 0, -o = t*r - 0 + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = m, 5*d + 2*m + 8 = 25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 104 - 128 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1775821263297\/1109474724886 + 28\/54284897. Let l = -9\/929 + n. Let j = -276\/11 + l. Find the common denominator of -25\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 19518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 92 - 1 + 174*l**3 - l**2.\nAnswer: 174*l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 227*d + 7 = -228*d, w - 3*d - 2*d = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 44931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 47464?\nAnswer: -47466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q + 17. What is a(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Solve -d*z + 3*w + 10 = 0, -z - z - 3*w - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (2 - 1 - 5). Let k(c) = 2*c + j*c - 3*c - 2*c. Let n(t) = -15*t. Calculate n(k(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -415979787022 - 2?\nAnswer: -415979787024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1334*k**3 + 2*k - 1335*k**3 - k. Let s(c) = -143*c**2 + 2 + 143*c**2 + 7*c**3 - 3*c - 3*c. Let z = -3 + 9. Calculate z*l(o) + s(o).\nAnswer: o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156.6 + 156.4583. Round f to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14214869.\nAnswer: 19, 599, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -2.1. Let a = l - 1.6946. What is a rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.113 - -0.413. Which is the closest to 1\/6? (a) h (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(sqrt(7) + sqrt(7) + 2) - (sqrt(7) - sqrt(343)*3)))**2.\nAnswer: 44*sqrt(7) + 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let i = j + 2. Suppose i*c = -0*c + 20. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**4 - 2*o**3 + 215*o**2 + 880*o - 2586. Let q(a) = 17*a**4 - 11*a**3 + 1077*a**2 + 4399*a - 12927. Let n(k) = -11*p(k) + 2*q(k). Factor n(s).\nAnswer: (s - 16)*(s - 2)*(s + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n - 3. Let f be t(-5). Suppose 0 = -2*b - 5*u - 2, 3*b + 3*u - 4 = f. What are the prime factors of (2 - -38) + -3 + b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7419862 litres to millilitres.\nAnswer: 741.9862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m**2)*((5 + 0 - 4)*(1 + 10 - 4) + 3 - 4 + 2).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let z(o) = o**2 + 4*o + 1. Suppose -n - 6*n = 21. Let y be z(n). Determine i(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 + 6 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)**(-1\/6)*((c\/(c\/(c**(2\/15)\/c)))\/c)**(-36\/5) assuming c is positive.\nAnswer: c**(1991\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k - 97. Let s(n) = 2*n + 51. Let i(y) = -3*r(y) - 7*s(y). Determine i(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.22441 millennia to decades.\nAnswer: 22.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*a**2 + 4*a - 4*a - 374*a**2.\nAnswer: 157*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 + 17*s + 19. Let m(a) = -6*a**2 + 20*a + 20. What is -5*k(b) + 4*m(b)?\nAnswer: b**2 - 5*b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 26*a = 0. Suppose 5*q - 40205 = -v - 3*v, a = 2*v - 4*q - 20122. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 13*m - 52. Suppose l = -5*j + 2*j + m, 3*j + 5*l = -7. Suppose 0 = j*y - 2*y - 12. Solve k + 3*k = -2*a - 8, 3*k = -3*a - y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6924*k = -6947*k + 92. Solve -41 = -5*j + k*h, 20*j = 24*j - 2*h - 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16296.2 - -16296. What is the nearest to 4 in 5, k, 142?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 - 15*f - 47. Let q(d) = -18*d**2 - 45*d - 141. Let o(s) = 17*h(s) - 6*q(s). What is the hundreds digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f - 2*f**3 + 6*f**2 - 10 + f**3 + 2*f**2. Let y be r(7). Suppose -3*m + 44 = -y. Solve -3*n = 2*k - m, 0 = n + 4*k - 1 - 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + (11 + -6 - 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*p + 168 - 1283 = 0. Put 1, 30, p in decreasing order.\nAnswer: 30, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9729, 38562, 86503, 153552, 239709, 344974?\n\"Answer: 9554*n**2 + 171*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4934186801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (-5 + (sqrt(245) - -4*sqrt(245)))) + 2 + sqrt(245) + -4*1*sqrt(245) + (sqrt(245) + 2)*1.\nAnswer: -42*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.35 + -0.75. Let m = 8 - v. Let d = m + 0.5. What is the smallest value in d, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 23*c. Solve c = -14*h + 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2929 + 4590. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2279620 (base 10) to base 12.\nAnswer: 91b284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 1, b: 1, o: 1, j: 1}. Give prob of sequence go.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39343.57 nanograms to grams.\nAnswer: 0.00003934357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 15 = -5*g. Suppose i = -g*f + 27, -9 - 2 = -f - 3*i. Solve -5 = -5*p - f*t, 0*p - 3*t = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 2*s + 2*s + 2 + 5. Let u be d(-5). What are the prime factors of (44\/(-6) - 2)*u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 0, 0 = 3*l - s + 86 - 509. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.9294393 rounded to one decimal place?\nAnswer: 64.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 85 and 0.258.\nAnswer: 85.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(90)*1).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.2. Let f = 30.13 + -0.43. Let z = f - 31.7. Sort z, s, -11 in descending order.\nAnswer: s, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32\/80 - (3356\/(-10) - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*y - 6*y - 6*y - 92176. Does 81 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.1 in -2\/897, 2\/3, 118?\nAnswer: -2\/897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**3 + 19*g**4 - 40*g - 2*g**3 - 3*g**3 - 163 + 328 - 162 wrt g.\nAnswer: 228*g**2 - 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*u - 66 = 0, -663 = 3*j - 15*u - 711 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.9645 + 0.0355. Let q = 0.8 - 0.5. What is the closest to -1 in -0.4, b, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*a**2 - 5*a**2 + a**3 + 0*a**4 - 2*a**4 + a**3 to the form d*a**4 + k*a**2 + r + t*a**3 + o*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41105\/3 - 13207. Let b = -513 + f. What is the common denominator of 0 + (-2)\/((-44)\/30) and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/12*(-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -63 + -54 + -9 + (-6 - -4 - -1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a - 0, 5*j = 4*a + 14. Suppose 5*d = j*d - 8. Let f(z) = z - 10. Let h be f(d). Is -4 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**4\/11 + 58*s**3 + 67132*s**2\/11 + 9968*s - 44032\/11 = 0. Calculate s.\nAnswer: -64, -2, 1\/3, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 take away -36?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 360 + -358. Suppose x*r - 7*r + 118 = k, 4*k = -3*r + 557. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33025578 by -6.\nAnswer: -5504263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000633638546 to 6 dps.\nAnswer: 0.000634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5\/3, -67 in descending order.\nAnswer: 4, 5\/3, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 8*f**2 + 4*f. Let m(b) = 3*b**3 - 15*b**2 - 7*b. Let l(d) = 7*j(d) + 4*m(d). What is the third derivative of l(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23657 + 1206560\/51. Let f = c + -7\/34. Let o = -517\/3 - -174. What is the third smallest value in o, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r - 56. Let a be p(5). Suppose 9*d - 5*d - 8 = 0. Solve a*q - 5*q - 5 = 4*f, 2 = d*f + 2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 5*d + 19*h - 1795, 3*d + h - 1087 = 0. What is the remainder when 1099 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u**3 - u**2 + 2*u + 8. Let m(r) = -26*r**3 + 2*r**2 - 3*r - 13. Determine 5*m(d) + 8*s(d).\nAnswer: 6*d**3 + 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-325)\/5)\/13).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 21*p**4 - 9*p**3 + 57*p**2 + 42*p = 0.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 113*t - 1 - 25*t + 2 - 42*t + 195*t. Let y(f) = f**2. Give p(y(l)).\nAnswer: 241*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + f**4 - f**4)*(-5 + 5 + f) + 271*f**5 + 131*f**5 - 9*f**2 - 415*f**5.\nAnswer: -14*f**5 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -171398.581 and -579.3.\nAnswer: -171977.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**3*j)\/j*j)\/(((j**(-7)\/j)\/j)\/j))\/(j**7*j*j*j\/(j*j*j**2)) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5307982079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77, 163, 249, 335, 421, 507?\n\"Answer: 86*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 6*i - 1. Let v be k(-5). Differentiate -4 - 2*w**3 - 4*w + v*w with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 46, 100, 174, 268, 382?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4. Let u be 147\/12 - l\/4. Let s(o) = o + 3. What is the tens digit of s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155867 is divided by 447?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -18. Solve -f*h + 3*h = 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = j. Suppose j*y - 2*y - 15 = 0. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 20. Let q(l) = -645*l. Let z(k) = 46*k. Let n(h) = c*z(h) + 3*q(h). Let b(j) = -j**2. What is b(n(o))?\nAnswer: -1849*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1849*w**3\/5 - 8471*w**2 - 3952*w\/5 - 92\/5.\nAnswer: (w - 23)*(43*w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -563*r - 4228 + 10040 + 8263 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/7 (b) -2\/3 (c) -2.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -384*h**3 - 21187*h**2 + 2*h*j - 56609986*j wrt h.\nAnswer: -1152*h**2 - 42374*h + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21391*i**3 + 2813 - 21388*i**3 - 1404 - 1409.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:16 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from iffffwwwwffwfiwfvwfw?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r - 1. Let z be (r - -1)\/((-1)\/(-3)). Solve 5*n = 1 - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-5)\/(-10)). Let v = r - -1. Solve 0 = 4*n - 8 - v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -2649, 1?\nAnswer: -2649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 21857358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 30.7, 4, -80.\nAnswer: -80, -1, 3, 4, 30.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190.78 rounded to the nearest ten?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0064 - 19.39985.\nAnswer: -19.39345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -340*j - 154*j + 185*j + 6*j - 4*j - 4*j + (-3 + 1 + 4)*(4*j + 0*j - 2*j) - 2*j + 4*j - j.\nAnswer: -306*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, s: 4, v: 3}. Give prob of picking 1 s and 2 v.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (0 + -6 - (-23 - -22))) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5\/20 + 7*i**4\/12 + 7*i**3\/6 + 4*i**2 - 4*i. Let g = -14 - -8. Let o be f(g). Solve o*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -16. Suppose v = -6*k + 9*k - 90. What is the tens digit of (1 - k\/12)\/(2\/(-268))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5094*g + 76420. What is b(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*p - 7 = -394*p - 5*t, -4*t = -4*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 124*l + 137*l = 687. Let j(d) = 8*d**3 + 3. Let x(q) = 2 + 16 + 65*q**3 + 7. Calculate l*x(y) - 25*j(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50d - 15b00c?\nAnswer: -15b51b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 120 = -3*l. Suppose 2*u + 18 = l. Let j be (1 + -3 + u)*-5. Which is greater: j or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*n**2*r + 24*c*r - 25*n**2*r wrt c.\nAnswer: 5*n**2*r + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3395?\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3037904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 203*j**2 - 3*j**3 + 8*j + 2*j**3 + 219*j**2 + 16. Let a be m(-16). Let f be a\/(-20) - 3\/5. Solve 4*s + s - 13 = u, 11 = -2*s - f*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9748\/(-2040) + (258\/45)\/(-43) + 5?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462194 is divided by 12163.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q, -5*u - 6*q = -4*q + 148. Let v(j) = j**3 + 2*j**2 - 7*j - 8. Let y be v(-6). Let z = u - y. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2074*h - 2324 + 85442 = -1916 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 + 3*r. Let l(z) = -3 + 4 - 4*z + 0*z - 1. Give l(i(a)).\nAnswer: -28*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = 28*s - 5. Suppose 0 = -2*f - 3*a + 3, f = 2*f + s*a - 5. Solve f*n = 5*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -5, -6, 4, -1, -3719 in descending order.\nAnswer: 4, -1, -5, -6, -158, -3719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 13*u**2 + 2*u + 29. Let c be d(-13). Suppose 0*w = -c*w + 9. Let i = 0.1 - 0.1. What is the nearest to i in -0.5, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7429.9629 rounded to the nearest 10?\nAnswer: -7430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:10 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + i = -11, 1795*g - 1790*g - 27 = -3*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:03 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22369532 is divided by 25801?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/5)*m\/m**30)**(-4) assuming m is positive.\nAnswer: m**(532\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-85))\/((-2)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 505 and 4949.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10621 is divided by 878.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - (10 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:12 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 + 140*f**2 - 418*f - 117. What is p(-26)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 15. Give k(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -16*m. Let t = 14 + -20. Let i(v) = 3*v. Calculate t*y(s) - 33*i(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n - 3*i - 30, 2*n = -i - 19. Let m = 70 + -48. Let v = m + n. Calculate the remainder when 23 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 29*m**2 + 5*m - 8. Let k be l(-5). Let g be k\/(6*(-2)\/(-6)). Suppose 5*p - o - g = -3*o, 3*o - 274 = -4*p. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -534 - -536. Let g be (-41)\/82*(-7 + u\/2). Let x(k) = 2*k + 2. Determine x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 7 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2212 + -2209. Suppose -j = 3*t, -5*t + 12 = w*j + 8. Factor 108*u**2 + 96\/5 - 15*u**j + 468\/5*u.\nAnswer: -3*(u - 8)*(5*u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6376284 divided by -1.\nAnswer: 6376284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*c*v**2 + 3*b**3*v**3 - 26737*b**2*c*v**2 - 29*c*v**3 - 314*v**5 wrt v.\nAnswer: 18*b**3 - 174*c - 18840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from {z: 3, j: 2, v: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2. Let i(w) = 13*w**2 - 472*w. Give i(f(p)).\nAnswer: 832*p**4 - 3776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-6))\/((-196)\/168). Solve -6*x + x + g*l = 7, 3*x + 3*l + 21 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8556 is divided by 2687?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 45, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33816 is divided by 2818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 3:06 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c**4 - 19*c**3 + 3*c**2 - 272*c - 1380760?\nAnswer: -24*c**3 - 57*c**2 + 6*c - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*t + 14. Let r(z) = z**3 - 9*z**2 + 13*z - 17. Does 7 divide r(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/1316*-47)\/((2\/(-164))\/(-1))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from uuuvuuuvvvvuzuuvuuuv?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4974106, -4974075, -4974044, -4974013, -4973982, -4973951?\n\"Answer: 31*q - 4974137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440863 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 + 2*o**2 - 25*o - 6. Let j(r) = -7*r**3 - 4*r**2 + 49*r + 13. Give 6*j(s) + 13*l(s).\nAnswer: 10*s**3 + 2*s**2 - 31*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. Suppose -6*i = 5*b - 4*i - 14, i - 4 = -b. Suppose 0 = -3*y + 2*h + 50, 4*y - 2*h - 72 = b*h. What is the remainder when y is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 246, 277, 340, 447, 610, 841, 1152?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -774, -1162?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/99*4\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*h**3 - 2 + 3*h**2 + 189*h**3 + 5)*((2*h + 1 - 1)*(0 - 3 - 2) + h - 4*h - h).\nAnswer: 28*h**4 - 42*h**3 - 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 2*c**3 + 3*c**2 - 3*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 s when four letters picked without replacement from {g: 6, s: 13}?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/(y*((y*y*y**17)\/y)\/y)))\/(y*y**(4\/7)*y))\/((y*y**(-1))\/(y*(y**16\/y)\/y)) assuming y is positive.\nAnswer: y**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -46*i**3\/5 + 30644*i**2\/5 + 658314*i\/5 - 115416\/5 = 0.\nAnswer: -21, 4\/23, 687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -952*o - 133. Let t be p(3). Let a(k) = -5618*k. Let i be a(-1). Let l = t + i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.76 and -27.\nAnswer: -209.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*((1 - j - 1)*(0 + 1 - 3) - 48*j - 44 + 44) + 2*j + 2*j - j in the form x*j + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 24*n + 33*n + 7*n - n.\nAnswer: 47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -7, 3\/4, 3\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(3*(sqrt(176) + -6*(sqrt(176) - (sqrt(176)*2 + sqrt(176)))))**2.\nAnswer: -267696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 0.5 (c) 2\/11 (d) -0.13 (e) -1\/100 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v)*(-12*v + 23*v - 6*v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8*1 + (-497)\/(-28). Suppose -k = 4*z - 9, h = z - k - 4*k. Solve 6*x + p - 14 = 2*x, -x - z*p - 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-1\/4))\/i)**(-3\/4))**(2\/19))**(-2\/73) assuming i is positive.\nAnswer: i**(3\/5548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019112 rounded to five decimal places?\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -0.1 (b) -6\/7 (c) 500\/11 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*o + 90 + 4*o**2 - 93 + 41*o in the form t + v*o + m*o**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16459, 16571, 16685, 16801, 16919, 17039?\n\"Answer: s**2 + 109*s + 16349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*9\/(-6). Let o be 1\/i - (-24)\/(-16). Suppose 2*g = 5*x + 7, -6 = 2*g - 4*g + 4*x. Are o and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49837897*u**2 + 27752668*u wrt u?\nAnswer: -99675794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*w - 224*w - 210 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 207 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 - 300. Let n be (3 + m\/6)\/(39 - 5). Is -0.2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64ba0c2 + -13?\nAnswer: 64ba0ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/28 and 89\/63352.\nAnswer: 443464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.001 - 0.019. Is v not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33775 and 69287.\nAnswer: 12125225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 - 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = -5*x, 5*x - 48 = 3*l - 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4582035 divided by 3\nAnswer: 1527345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 148, 4, 2 in descending order.\nAnswer: 148, 20, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.744 + 0.034. Let j = -2.21 - w. Let g = 1.7 + j. Which is the closest to -1\/3? (a) -1\/5 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -1861\nAnswer: 1674.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219993, 219988, 219983, 219978?\nAnswer: 219973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3273, 6551, 9829?\n\"Answer: 3278*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4329 + -4329. Sort -11, -2, -4\/9, -0.2, m in descending order.\nAnswer: m, -0.2, -4\/9, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-5\/12)*x*x)*x**(-22) assuming x is positive.\nAnswer: x**(-271\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 8:01 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 468*u - 1808.\nAnswer: -4*(u + 4)*(u + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 83601141 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068933 (base 11) in base 15?\nAnswer: 26e655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12128*0.2.\nAnswer: -2425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -73. Let r = h + 17. Let c = -3 - r. Solve 0 = k + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -22. Let x = r + -20. What is the closest to 0 in -5, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 3. Let r(d) = -25*d + 40. Determine 40*o(f) - 3*r(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 r when three letters picked without replacement from {o: 1, h: 2, j: 1, z: 2, n: 2, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586605 + -402342. Let x = y + -269163. Round x to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)*150\/(-30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642192 divided by -97?\nAnswer: -642192\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 26 = 17. Suppose 0 = -p*r + 1586 + 1129. List the prime factors of r.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 16 = r - 5*g, 3*r = g + 10. Suppose 0 = r*y + 3*y - 15. Solve 1 = -y*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28880587 is divided by 4341?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76881383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = a + 15, 409*s - 407*s + 8*a = -68 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -400, -1, -5, -33 in decreasing order.\nAnswer: -1, -3, -4, -5, -33, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-281)\/(-5) - ((-12)\/15)\/(-4). Let h(i) = -2*i. Let c be h(-4). Calculate the greatest common factor of c and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6535?\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 175a87c - -4?\nAnswer: 175a883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19725 and 303765.\nAnswer: 1518825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose -a - r*z = -0*a - 18, 4*a - 62 = -2*z. Suppose 0 = 5*c - 8*c + a. Solve c*y - 7 = 3*d, -6*d + 2*d = -4*y + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2571*v. Let a(w) = 7710*w. Calculate -6*a(g) + 17*y(g).\nAnswer: -2553*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 3398598?\nAnswer: -3398597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 + 3*l + 34. Let v be z(0). Let m = -14 + v. What is the remainder when 38 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -112. Let l be (a + -2)*(-2)\/8. Is l at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, b: 1, y: 4, n: 2}. What is prob of sequence byy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = v - 2*w, 3*w = 5*v. Suppose -4*l = 5*z - 0*z - 57, 4*l + 15 = 3*z. Solve 3*s + 4*h - 17 = 0, 5*s - v*h + z = -11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 59194050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 greater than or equal to 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 232*c - 38.\nAnswer: 232*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -5 (c) 392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -71. Suppose 3*p = -i*p + 1734. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*b + 72. Solve 4*p = -0*p - b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 143065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 206694.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 34*m - 28. Is k(-19) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1153060 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h + 4. Let a be b(0). Let o = 1 + a. Calculate the remainder when (3\/(-9))\/((-2)\/114) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 314*t**5\/5 + 1005*t**2 + t + 380. What is the first derivative of l(n) wrt n?\nAnswer: 3768*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3957 - 4316 + 7687 + f)*(-381 + 381 + 15*f).\nAnswer: 15*f**2 - 8790*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -30 - (2 - 3) - 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)*-2)\/sqrt(5)*-5)\/((sqrt(567)*-1 - sqrt(567)) + sqrt(567) + sqrt(567) + sqrt(56)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -674976 and 0.549?\nAnswer: 674976.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1babc20 + -2?\nAnswer: 1babc1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -2\/11 (b) -0.2 (c) -0.5 (d) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307 - 3653.2.\nAnswer: -3346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1220 = -7*q - 306. Let g = -57 - q. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9))**(-2\/95)*(x\/((x\/(x\/(x*x**(-8\/5))))\/x))\/(x**1\/x))**(-2\/45) assuming x is positive.\nAnswer: x**(-4438\/38475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Which is the third biggest value? (a) q (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 130. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2\/5 - 2106*f - 1848015 = 0?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 154*o - 9. Let b(d) = -5*d**2 - 159*d + 8. Give 8*b(i) + 7*k(i).\nAnswer: 2*i**2 - 194*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/3 - 310*l\/3 + 1625 = 0. What is l?\nAnswer: -325, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 368 = 400. Suppose -14*a = -15*a - 2. Sort -4, a, i in ascending order.\nAnswer: -4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5557, 6735, 7921, 9115, 10317, 11527?\nAnswer: 12745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5. Let u(y) = y**3 - 4*y**2 - 2*y + 3. Let o = 9 - -8. Let w = 19 - o. Let m be u(w). Let c(t) = -1. Give m*c(z) + 2*x(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/(((-3)\/1)\/12)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h - 5. Let l be 1 - h - (6 + -2). Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1152 and 128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*1568\/(-1372).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -926274\nAnswer: -51\/308758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccyccccccccc. What is prob of picking 1 y and 1 c?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2286)\/15)\/(24\/(-60)). Suppose -60*d = -63*d + t. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6578 - -6581. Let g = -158\/3 + 50. Is c equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630.742s in milliseconds?\nAnswer: 8630742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, 1.4, 0.4, -4, 5528, 4 in descending order.\nAnswer: 5528, 5, 4, 1.4, 0.4, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + 2*sqrt(400))\/sqrt(2) - (-2 + -5 + -1*sqrt(2)).\nAnswer: 7 + 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8579 is divided by 118.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/4)*r**(1\/13)\/r)\/((r\/(r*r*r*(r\/(r*r*r**(1\/14)*r)*r)\/r*r*r*r))\/r**(-2\/11)) assuming r is positive.\nAnswer: r**(16311\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -13, -5, -2.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4388370175.\nAnswer: 5, 7, 3582343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b)\/(b*b*b*b**(-16)*b*b) assuming b is positive.\nAnswer: b**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/6)\/(h*(h*h*(h\/(h*h**50\/h))\/h)\/h) assuming h is positive.\nAnswer: h**(289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -8\/9*n - 4\/9*n**2 - 4\/9 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let m(v) = -2*v**2 + v. Let c be m(-1). What are the prime factors of 8 + -1 - u\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1923131 (base 10) to base 6\nAnswer: -105115215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.255 in 0, 4, 0.3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871280917*t**2 + 1742561837*t**2 - 871280913*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3330 and 3219?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9514007111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -1\/4*d**4 + 5\/3*d**3 - 2 + 3\/2*d**2 - 4\/15*d**6 + 43*d + 0*d**5. Find the second derivative of a(s) wrt s.\nAnswer: -96*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i**5 + 84512*i**4 + 126628*i**3 + 5252*i**2 - 31652*i + 5276 = 0.\nAnswer: -1319, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(396)).\nAnswer: -6*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94.6 and 1.9.\nAnswer: 96.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3719*b**3 + 3*b**2 - 193*b - 509743?\nAnswer: 11157*b**2 + 6*b - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36473, -36477, -36483, -36491, -36501, -36513, -36527?\n\"Answer: -p**2 - p - 36471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c = -10*c + 220 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6980947120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -606 - -7271.\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -67\/2. Let h = 7 - 4. Do g and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (2 + -19 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 179 = 269. Let w = 146 - z. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**4 - 5*k**2 + 11. Let w(q) = -54*q**4 + 24*q**2 - 54. Let n(t) = 24*v(t) + 5*w(t). Differentiate n(l) with respect to l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = h. Let g be (-2)\/(2*-1) - -15. Suppose 5*d - g = -3*z + 28, -4*z = h*d - 56. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 8*y - 11. Let w be j(-5). Suppose -4 + 2 = -w*l + f, 4*f = -3*l - 8. Suppose l = -11*k + 7*k + 296. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a8 - 228?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n - 11. Let f(k) = -5*k - 10. Let h(w) be the first derivative of -3*w**2 - 145*w + 12. Let p be h(-25). Calculate p*f(r) - 4*l(r).\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4871*n + 9195 with respect to n.\nAnswer: 4871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - o. Let p be (-1 - o\/(-6))*-3. Suppose -6*c + 48 = -3*c. Calculate the greatest common divisor of p and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3061142052 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-3)\/33)*825\/(-63525)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14*i**2 + 19*i - 2. Let k(d) = 39*d**2 + 55*d - 3. Determine 4*k(g) - 11*z(g).\nAnswer: 2*g**2 + 11*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 108.59 and 0.018?\nAnswer: 108.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 111?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.706228nm to meters.\nAnswer: 0.000000000706228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 2*x**2 - 2*x + 4. Let r(j) = -2*j + 9. Let f(p) = -p**2 + 5*p + 2. Let z be f(4). Let o be r(z). What is the units digit of h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34.2 or 518?\nAnswer: 518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 1. Let z be l(-2). Suppose 3 + z = u. Suppose -4*n + 8*n - u = 0. What is the greatest common divisor of n and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -37 + 7*w + 37. Let o(x) = 2*x. Determine o(g(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i. Let k(x) = 455*x**3 + 47*x**2 - 10*x - 5. Let l(z) = k(z) + 5*r(z). Find the third derivative of l(o) wrt o.\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.98 * 0.2.\nAnswer: 1.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 14) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 618523907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7586 is divided by 451.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93731 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 8. Determine d(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 21*z - 63*z**2 - 56*z**2 + 34*z**2 - 72*z**2 + 19*z**2 - 19*z.\nAnswer: -138*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 + -2 - -3 - 8) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4)\/k)**33)**(-7\/2) assuming k is positive.\nAnswer: k**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 45d6b?\nAnswer: -45d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186 (base 12) to base 9.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1 = 13. Suppose 5*o - 4 = g. Suppose o*u - 6*u + 84 = 0. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/3 - 15188*l\/3 + 57668836\/3 = 0 for l.\nAnswer: 7594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 29*p - 547. Let l = 36 + -20. Calculate the remainder when y(21) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 + 3*m**2 + 3. Suppose 10 = 4*y - 2. Let g(z) = 1 - 4*z**3 + 0*z**3 + z**2 + 3*z**3. Calculate y*g(r) - c(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -403 + 135. What is q rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*l + 160 = l, -4*a + 260 = 5*l. Let j = a + -35. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 5*m - 6. Let j be l(-4). Let x = -1 - -4. What is the third biggest value in j, x, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*u - 50*u + 56*u**3 - 28*u + 34*u + 14*u.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5240*k**2 - 3635*k**2 + 1863*k**2.\nAnswer: -7012*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 16) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 33, 38?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1428 - -1441) + -1 + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 + -1.2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvvv. What is prob of picking 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2. Let d(g) = -g**2 + 4*g - 1. Suppose -v - 6 = -5*m + 4, 2*m - 21 = -3*v. Let c be d(m). Let b(o) = -o - c*o + 2*o - 9*o. Give s(b(k)).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935*z = -290*z - 764*z - 57306 + 182613 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 124*j - 49 - 59 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 23 - ((3 - (18 - 25 - -3)) + 67)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180642 and 8798282?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 156.3. Let d = -10.2999806 - i. Round d to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(2 - 7 + 3)*(3 + 0 - 4)*(4*b**4 - b**5 - 4*b**4).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -37. Suppose -3*y - j = -56, 8 = y - 2*j - q. What is the lowest common multiple of y and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s + 15*s - 52 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, a: 2, d: 1, m: 2, g: 1, y: 3}. Give prob of picking 1 a, 2 g, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 2*u**2 + 3*u - 5. Let i be t(3). Let l be (-4)\/10*i + -2. Suppose l = -b - 6*b + 623. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2034, -4065, -6096, -8127?\n\"Answer: -2031*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 724194901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082 = 25*i + 113*i - 22 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 10:53 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23177 + -1)\/(-634 - -632)?\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 15*y - 3*y + 134 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 341885 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18*b - 358. Let z be u(20). Suppose 4 = w - 0. Suppose 0 = -v - z*y + 39, w*y + 5 = v - 52. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 12*a + 9*a - 13*a**3 + 17*a**3. Let v(g) = -7*g**3 - 5*g**2 + 5*g. Calculate -10*i(y) - 6*v(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let y(h) be the first derivative of 0*h - 5 + 0*h**2 - 5\/3*h**3. Give f(y(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*s + 2013 = 58*s + 127*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (9 - 5)) + 10\/2. Calculate the smallest common multiple of j*(-3)\/12*-4 and 90 - (1 + 0 + -1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, 10, -1191, 4, 8 in increasing order.\nAnswer: -1191, -5, 2, 3, 4, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.06 (c) -15 (d) -0.8 (e) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k**2 - 2*k - 1. Let z be j(-1). Let l = 78 - 64. Let y = z - l. Solve -4*f + 3*u + 13 = 0, 2*u = -3*f + y*f - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 18512*o - 258384.\nAnswer: -4*(o - 4614)*(o - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15976 divided by 3?\nAnswer: -15976\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - (-2)\/6. Suppose 0 = -p*n - 2*n + 54. Calculate the remainder when n is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4082860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 5*d**8\/8 + 25*d**4\/12 + d**3\/6 + 3*d + 15. Find the third derivative of m(k) wrt k.\nAnswer: 4200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6077 + 272. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and -17\/390?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127836 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**3 + 48*s**3 + 0*s**3 - 27*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2125*f**2 + 227*f - 4474*f**2 - 227*f as r*f + b + i*f**2 and give i.\nAnswer: -6599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.2 + -1.8. Let u = d + 12. Suppose 5*j - 5*i = 40, 4 = -2*j - 4*i - 4. Which is the closest to 5? (a) u (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*c + 52, 4*c + 13 + 31 = 4*i. Let h = 24 - i. What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = -15*t + 4*k - 32, 4*t + 3*k - 49 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6988 + -6987.92929. Round q to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 57.109. Round n to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 832, 6914, 23926, 57490, 113228, 196762, 313714, 469706?\n\"Answer: 937*x**3 - 157*x**2 - 6*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 123869395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 330\/88 + 2\/8. Suppose x*o + 496 = 1560. List the prime factors of o.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 453*s + 37750. Give t(-84).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 17032596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2600*a + 4*r = -2596*a - 20, 0 = 4*a + 5*r - 47 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 1. Let i be z(-5). Suppose -4*v - 5*f = -33, f = -i*v + 4*f + 57. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*p + 429036 = -187*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f**3 - 1968*f**2 - 384*f + 36698. What is b(179)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3 + 3 - z. Let h(i) be the first derivative of i**6\/120 - 47*i**3\/3 + 9. Let s(l) be the third derivative of h(l). Calculate s(q(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 10) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 1. Let q(p) be the third derivative of p**4\/4 + 7*p**3\/6 + 2*p**2 + 33. What is 28*n(i) + 4*q(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 850 + 1410 = 0. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 3*q + 12, -4*g + 24 = 2*q. Calculate the smallest common multiple of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 167, -50, 11.\nAnswer: -50, -4, -1, 11, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = o - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 50*g**2 + 52*g + 152. Let r be p(-49). Let m be 2 + 1 + -3 + 2. Solve -4*b + 2 = -2*a, -m*a - r*b = -b - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**3 - 5*y**2 + y - 9. Let c be z(-7). Find the common denominator of 1*3 + c\/288 and 113\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 148996344?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 6. Suppose 0 = 4*s - 5*s + 2. Let d = 8 - s. What is the smallest common multiple of l(d) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2460 (base 7) to base 14.\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 114*f - 387. Let p(l) = 4*l**2 + 229*l + 775. Let s(t) = 5*b(t) + 3*p(t). Differentiate s(j) wrt j.\nAnswer: 4*j + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -4, 5, -5, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2 + h - 2. Let f be j(6). Suppose -f*o + 0*o = -1072. Suppose 2*s - 93 - o = -5*u, -154 = -2*u - 4*s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24465, -24486, -24517, -24564, -24633, -24730, -24861, -25032?\nAnswer: -25249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*v + 3 + 2*v**3 - 391*v - 4 - 3*v**4 + 190*v as w*v + g*v**2 + f*v**3 + d + x*v**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let r(k) = 20670*k**2 + 2. What is r(p(q))?\nAnswer: 20670*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 8 = 0. Suppose 0 = -6*h + n*h + 4348. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53352 = 271*n + 1133*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8057 - 8062. Sort 19, s, -2, 1.\nAnswer: s, -2, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 + 3*a - 7. Suppose 2*m + 5*i - 2 = 0, 2*m + 0*m = i - 22. Let f = 10 + m. Calculate the remainder when n(-5) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2146, 1\/10, -2\/65, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71200 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706484*v + 706114*v - 46620 = 0 for v.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 23 = -4*v, v + v = 2*l - 14. Let x = 10 + v. Let f = x - -10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y + 221. Let p be j(-8). What is the highest common factor of 3381 and p?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381272 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147926 = -5*j + 2*n, -57*j = -58*j + 2*n + 29574. Is j a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -9\/43, 1, -40\/9, 0.2, 6.\nAnswer: -40\/9, -9\/43, 0.2, 0.5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 2. Let i(m) = 42 - 43 + 7*m - 8*m. Let z(a) = -5*a**2 - a. Let q be z(-1). Calculate q*p(l) + 7*i(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 2*x**3 - 16*x - 6*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 381404*q**3 + 11*q**2 + 2180*q.\nAnswer: 2288424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:29 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6299 + 1908. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.83 + -1.83. Let g = -76.96 + o. Round g to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001502820837 rounded to 7 dps?\nAnswer: -0.0015028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/4 + 63*r**3\/4 + 51*r**2 - 472*r = 0?\nAnswer: -59, -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-12)\/32 - (3 - 54\/16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Let j be (-6*7)\/((-8)\/h). Suppose x + j - 53 = 0. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))\/(m*m**(2\/5))*(m**(-2\/3)*m)**(5\/17) assuming m is positive.\nAnswer: m**(-332\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - -12 - (-4)\/(-2). Suppose x*q + 14000 = -q. What is q rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1518 * 0.05\nAnswer: 75.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:33 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5106 + 6*s**3 + 5106 + 33*s**3.\nAnswer: 39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2912452 is divided by 1184?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (-760)\/(-6). Let i = x - 77. Let a = i - 23. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w**3 - 21*w**2 + 23*w - 57. Let p(q) = 23*q**3 + 42*q**2 - 47*q + 117. Let s(i) = 3*p(i) + 7*x(i). What is s(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 12396867.\nAnswer: -1\/12396867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16331, 65361, 147075, 261479, 408579?\n\"Answer: t**3 + 16336*t**2 + 15*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*-3)\/(sqrt(20)\/sqrt(2)*-2)*2*-3)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 23 - 9 - 14.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180 - -188. What is the highest common factor of 104 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*u + 9*u**2 + 31*u**2 + 51*u + (-5 + 33 + 8)*(-u**2 - 3*u**2 + 0*u**2).\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1659 + 1658. Let b = 3 - 30. Let h = y - b. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/((-22)\/4) + (-18)\/(-22))*9. Solve -w + 21 = 4*c, -q*w + c + 16 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqg when three letters picked without replacement from gguqlguggvguquqlvur?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) -16\/7 (c) -2 (d) -7 (e) 0.3 (f) 0.2 (g) -1\/90\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n*n**3\/n)\/n)\/n)*n)**(2\/3))**(-1\/2)\/(n**(2\/13)\/(n\/(n\/n**(-2\/25)))*(n**(-2\/3))**(2\/27)) assuming n is positive.\nAnswer: n**(-4856\/26325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(6*w - 6*w - 6*w**3)*(5 - 7 + 4).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.9 - -5.97. Which is the third smallest value? (a) -2 (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6896*r - 6906*r - 140 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2, 2\/5, 4, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a + 5 - 4*a + a. What is r(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 5:04 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*r + 1. Suppose 3*k - 57 = r*k. Let m = k - -21. Sort 5, -5, m.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*h**2 - 51*h**2 - 71 + 263 as b*h**2 + f*h + k and give k.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3435*h**3 - 2*h - 6301 wrt h.\nAnswer: -10305*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3418 - -0.3418000953. Round t to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 421 - 412 + b**2 + b - 6*b**3 - b to l + p*b + f*b**3 + z*b**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*s + 2413 = 247 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1383*p**4 - 375*p + 19787458 wrt p?\nAnswer: 5532*p**3 - 375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106782 less than or equal to 5106783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 232836109 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g + 4. What is the remainder when (-13 + (2 - g))\/((-2)\/6) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -508, -1154, -2070, -3262, -4736, -6498?\nAnswer: -8554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1200)\/960*24\/(-5). Let h(y) be the first derivative of 1\/2*y**4 - 1 + 1\/5*y**5 + 4\/9*y**3 + 1\/36*y**r + 0*y + 0*y**2. Factor h(b).\nAnswer: b**2*(b + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyyu when four letters picked without replacement from {u: 9, y: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400635.\nAnswer: 3, 5, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:14 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -2 - (17 + -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -3035\/1128?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**5 - 91*k**2 + 2*k - 812 wrt k?\nAnswer: -120*k**3 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p**2 - p - 3. Let r(a) = -18*a**2 - a - 4. Let w(d) = 5*m(d) - 4*r(d). What is w(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + 6\/8. Suppose -4*u = -3*p + 1, 4*p + 5 = -3*u - 27. Which is the closest to 0.1? (a) -0.1 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.137.\nAnswer: -2.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/45 - 7\/((-63)\/55). Are 0.017 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 133. Suppose x*k - 65*k + 42 = 0. What is the lowest common multiple of k and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 - 2*c**2\/11 + 2*c\/11 + 2\/11.\nAnswer: -2*(c - 1)*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1972854810 and 7380?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -21 + 4 + 1 + 3. Let h(r) = -r**3 - 6*r**2 + 10*r + 19. Let k be h(p). Which is greater: k or -23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 34 = 5*q, -340*q - 5*s + 14 = -343*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3324910 is divided by 506?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79*(-1330)\/(-31521)*((-324)\/5)\/(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 + 1. Suppose -h - p - 10 = h, h - 2*p + 10 = 0. Let r(a) = -4*a**2 - a - 1. What is h*k(f) - r(f)?\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 209095 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30752 is divided by 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 752 + -524. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.029? (a) 11 (b) -1.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + 11 - (0 - -2) - -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -18. Let g(o) = -o**2 + 3*o - 2. Let h be g(i). Let b = h - -63. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6513 and 2505.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*5*(-10)\/(-20). Let j(i) = -13441*i**3 - 1 - 6*i - 3 - 1 + 3*i**2 - 9*i**2. Let s be j(x). What is s rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14098)\/(-3234) - (-2)\/(-77)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3)*g)\/(g*g\/((g**(1\/4)\/g)\/g))*((g*g**4\/g)\/g)**(-5\/3))**25 assuming g is positive.\nAnswer: g**(-975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -5a27?\nAnswer: 5a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1047668287*d**2 + 822642094*d.\nAnswer: -2095336574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 552.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*x + 25, 6*f = -x + 2*f - 9. Let b be (-25*x)\/((-3)\/1200). Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 2083a12?\nAnswer: 2083a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/26 in -3, 2\/27, 2\/9, -0.4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7602 + 7708. Calculate the remainder when 633 is divided by k.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -620 + 653. Let i = -27 - -29. Let v be 6 + (i - 5) + 0. Calculate the greatest common divisor of v and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, -0.0478?\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2851561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -259, -272, -303, -358, -443, -564, -727?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 7*o**5\/120 - o**4\/24 - 47*o**3\/3 + 50. Let u(l) be the third derivative of j(l). Give u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -24. Let h be (96\/28)\/(w\/(-7)). Let j(m) = -h*m - 6 - 3*m**2 - m**3 + 3 + 9*m. Calculate j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-7797.435.\nAnswer: -155.9487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 7*w - w)*(-40 - 52 + 13)*(3*w + w - 3*w + w - 4*w + w + w + 0*w + 0*w + (-3 + 3 - 2)*(-6*w + 2*w + 3*w)) to t*w**2 + y + k*w and give t.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -2, -0.3, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 292901190*f**3 + 276361447.\nAnswer: 878703570*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/95 + -21\/95. Let x(m) = -m**2 - 12*m - 1. Let k be x(-11). Let g = 11 - k. Is g < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -50 + -4 + 3 + -1 + -18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5376 + 1228. Is -4148 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/7193 + 14392\/21579. What is the closest to d in -0.5, 1\/13, -8?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.033, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 8*d - 5. Let a be c(-7). Let p be a\/54 - (-914)\/(-18). Does 9 divide p\/(-2)*8\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let g = -2 + 4. Let s(d) = -4*d**2 - 1 - g*d**2 + 0 + d**3 + d + 4*d**2. Give s(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 64754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189978*n + 189975*n - 17 = -4*h, -4*n - 26 = -6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b61922 - 4?\nAnswer: -b61926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**3 + 38*z**2 + 6*z + 41. Let u(p) = 5*p**3 + 13*p**2 + 2*p + 14. Let l(k) = 6*f(k) - 17*u(k). Let b be l(7). Let s = 37 - b. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/35)\/(112\/196)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.14 + 17. Let u = z - 0.67. Round u to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -192*r - 6. Let l(i) = -2*i - 1. Give -b(s) + 4*l(s).\nAnswer: 184*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:54 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 217\/(-49) - (-13)\/((-546)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3 + 3 + 30*d**3 - 2*d**2 + d. Let y(b) = 5*b - 4. Let r be y(1). What is the remainder when m(r) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26292 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 4*i. Let f be k(4). Suppose 3*x + 3 = -c, 2*c + 6 = -f*x - 4*x. Let m be 32\/(-72)*(-18)\/4. Which is bigger: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 2, -0.5, -0.036, 9\/7, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)\/(j*j**(2\/15))*((j\/(j\/(j\/j**(1\/3))))\/j)**28 assuming j is positive.\nAnswer: j**(-322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*a + 2 - 7 - 148*a + (6*a - 11 + 11)*(3 + 2 - 2) - 3 + 6*a + 3 as u + m*a and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 4.03664.\nAnswer: 9.03664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 127*m - 119*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 61. Let n(v) = -12*v + 18. What is the tens digit of n(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:44 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 1)*25*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.091 - -9.309. Let k = -9.488 + f. Round k to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/(-3)*(-1440)\/336*252\/54\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*v, 3 = 2*h - 5*v - 9. What is the units digit of 2 - (h + 0\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29\/2 + -14. Let p be 3\/(-42)*(6 + -2). What is the third smallest value in -0.1, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-20)\/5 - 461\/(-1). Let k = w + -3677\/8. What is the common denominator of k and 59\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1434001321 (base 5) to base 12.\nAnswer: -133a51b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.46141 from -49.\nAnswer: -32.53859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0397 * 2678.43\nAnswer: -106.333671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -96, -200, -346, -534, -764?\n\"Answer: -21*s**2 + s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/7, -0.4, -5, 8\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(720)\/sqrt(5)) + 2*(sqrt(19) - (sqrt(19) + 2 + 1)**2) + 3.\nAnswer: -53 - 59*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 20. Suppose 3*l = 4*z - 36, -v*l + 8 = 4*z - 0. Suppose -z = -12*g + 9*g. Solve 4*s - 2*k = -g + 16, k + 2 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 951796 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 27 = 2*u + 4, -k - u = -7. Sort -5, k, 17, 2, 6 in increasing order.\nAnswer: -5, 2, k, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*h + 21 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 8*d - 13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-5)\/3)*0. Let j = r + 2. What is the greatest common divisor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -280\/67?\nAnswer: -280\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 2*a - 10 - 72 + 2*a.\nAnswer: -a - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - i + 0*i - 7 = 0, i - 1 = -2*q. Let t be 32\/q + (-42)\/(-14). What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/54*(-4)\/(16\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 6)*(3*k - 2*k + 0*k) + 0*k - k - k + (-2 - 2 + 6)*(-k - k + k) + (5*k + 0*k - 4*k)*(-3 + 5 - 4).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 - 2*r**2 + r + 2. Let n(g) = g**2 + 129*g - 959. Let i be n(7). Let q(l) = -15*l**3 + 7*l**2 - 2*l - 7. Calculate i*k(p) - 2*q(p).\nAnswer: -5*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 121225.\nAnswer: 6182475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3\/7 - 9384*o**2\/7 - 1077852*o\/7 - 302600 = 0. What is o?\nAnswer: -2225, -119, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n = -g + 80*n + 1, 3*n = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213201?\nAnswer: 3, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + w + 2 + 23 = 0, 20 = 4*s - 2*w. Suppose 4218 - 1273 = s*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2875, 5408, 7941, 10474, 13007, 15540?\nAnswer: 18073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1158, -785, -0.3?\nAnswer: 1158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from ppxhppxxhpx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(-203) + (-2)\/(-70)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381981 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13 - 5 - 202*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0142 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*z**2\/4 + 111*z\/4 - 27\/2 = 0. What is z?\nAnswer: -9, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1372 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144580203 divided by -1383?\nAnswer: -104541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 21. Let z(m) = -8*m + 62. Calculate 11*v(n) - 4*z(n).\nAnswer: -n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - 122. Which is the nearest to z? (a) -1\/4 (b) 2\/19 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 11*r + 6. Factor -1 + 21*m**3 - 3*m**r + 24*m**2 + 1 + 9*m - 3*m**5.\nAnswer: -3*m*(m - 3)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -6*g**2 + 0*g**3 + 0*g**4 + 0*g + 1\/5*g**5 - 11\/120*g**6 + 0. Find the third derivative of l(h) wrt h.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 10. Let n be l(-8). Let d be (46\/27 - n)*-15. Let 16\/9 - d*m + 28\/9*m**2 - 2\/3*m**3 = 0. What is m?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-2))\/(-2))\/((-86548)\/2529*378\/(-112))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -116. Let z(i) = -2*i**3 - i**2 - i + 2. Calculate z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 2*sqrt(114)*2 - (sqrt(114) - (6*sqrt(114)*3 + sqrt(114))))\/(sqrt(6) + (sqrt(294)*4 - sqrt(6)) - (sqrt(1944)\/sqrt(4) + sqrt(6))))**2.\nAnswer: 475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204 or -0.1?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 142230.\nAnswer: -2702370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okmmpummmkooko. What is prob of picking 1 m and 2 k?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 12267?\nAnswer: 36801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 216442703 - 0?\nAnswer: 216442703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -dc1 (base 14) in base 5?\nAnswer: -41332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/270 + 617*h**4\/54 + 380689*h**3\/27 + 1683*h**2. Solve y(u) = 0 for u.\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/28 and 65\/72*660\/1050?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-4))\/((-5)\/((-6160)\/(-21))). Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -21\/1263953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + sqrt(33)\/sqrt(3) + -5 - 1*sqrt(66)\/sqrt(6)*4) + 0)**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4\/2 + 5*j**3\/2 - 27*j**2\/2 - 101*j\/2 - 35 = 0.\nAnswer: -7, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24648 + -19795. Calculate the greatest common factor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/112 and 21\/8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -119. Suppose -3*r + l = -294. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 2:44 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2 + 2)*(2*f + 3*f - 2*f) + 2*f**2 - 4*f + 4*f + 129*f + 29*f**2 - 129*f.\nAnswer: 37*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y - 2*o, -13*o = -11*o. Let x = 0 - -56. Which is the smallest value? (a) y (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11618*s**2 + 123*s + 11621*s**2 - 123*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - 1727949?\nAnswer: -1727993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8637, 8602, 8551, 8490, 8425, 8362, 8307, 8266?\n\"Answer: x**3 - 14*x**2 + 8650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/81)*n)**(2\/169)*(n**(-38)*n)\/n**(-3\/7) assuming n is positive.\nAnswer: n**(-3502144\/95823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y - 3*y)*(-5 + 3 + 0).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -9*n**4\/4 + 37353*n**3\/4 - 124383*n**2\/4 - 111981*n\/4 + 12441 = 0.\nAnswer: -1, 1\/3, 4, 4147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*4*((0 + sqrt(343))*-3 + sqrt(343)))**2.\nAnswer: 87808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -381337*h*k**4 - 1834*h*k**2 - 4*h*k + k**6 - 2*k**2 + 2*k - 2 wrt k?\nAnswer: -9152088*h*k + 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:12 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3946, 3628, 3306, 2980?\n\"Answer: -2*b**2 - 312*b + 4260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/13 + 682*p**4\/13 + 54578*p**3\/13 + 1602862*p**2\/13 + 15956708*p\/13 + 25927744\/13 = 0.\nAnswer: -241, -41, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10479878183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1875864.\nAnswer: 5627592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-200))\/((-11)\/20) + (-5)\/10?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611735089?\nAnswer: 7, 17, 1613, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1579, 1590, 1557, 1438, 1191, 774, 145, -738?\n\"Answer: -7*c**3 + 20*c**2 + 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.8552 or 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1092 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 13. Let c(a) = -8*a**2 - a**3 + 6*a + 2*a**3 + 3 + 7. What is the units digit of c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*i + 413. Calculate the greatest common factor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j + 4. Suppose 0 = -3*l + 1 + 17. Let y(q) = 3*q - 18. Let d be y(l). What is the second smallest value in d, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17594 + 29287. Is j a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21016 and 25560?\nAnswer: 945720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 = 47. Let u be (-1)\/(-6) + 359\/6. Suppose -u + 10 = -5*c. What is the remainder when r is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12\/25 - 11\/75. Which is the biggest value? (a) -1 (b) 4 (c) x (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 836*s - 836*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - 3.2. Suppose -52*z + 2*x = -47*z + 10, x - 5 = -z. Sort z, -16, c, -3.\nAnswer: -16, c, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1537412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epbee. What is prob of picking 1 p and 1 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/27 and ((-40)\/(-774))\/(6\/(-126)*7)?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.70735l to millilitres.\nAnswer: 9707.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6*v - 15. Let f(a) = -2*a + 0 + a + v. Let b be f(7). Let m(h) = h**2 + h + 2. Give m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 14*l**2 - 13*l**2. Let c(z) = -6*z**2 + 4*z + 4. Let d(u) = -5*u**2 + 3*u + 3. Let b(m) = 3*c(m) - 4*d(m). Calculate h(b(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7 + 3 + 391*u - 398*u. Let z(l) = 7*l - 10. Let n(h) = -4*i(h) - 3*z(h). What is the derivative of n(y) wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-24)\/14)*-3*20\/840.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, 7, 20.037.\nAnswer: -5, 1, 3, 7, 20.037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 71, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-12 - (7 + -51)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 3*r + 50 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 37 - (-1 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 56*p**3 + p - 8. Let z(m) = 37*m**3 + m - 5. Let f(h) = -5*r(h) + 8*z(h). Find the second derivative of f(c) wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 5*z**2 - 14*z + 8. Let i be n(7). Solve 3*q - 4*j = -35, -3*q - j + 30 = -i*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*s - 3, 0 = j + 4*s - 4. Solve j = -2*u + 3*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261 + 474. Suppose -5*g + d + 217 = 5*v, -286 = -3*v + 4*g. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3 + ((-6)\/3 - -2). Let a be ((-9)\/g)\/((-9)\/21) - 1. Solve m - a = -7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*q - 66*q**4 + 80*q + 2*q**3 - 80*q**4 + 1 to x + p*q**3 + k*q**4 + g*q**2 + u*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.7 - 16.7. Which is the third biggest value? (a) 0.06 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = -0*t - 3*t, 0 = 3*t + 6. Suppose 18*y - 189 + 63 = j. Solve 2*a - y = -3*p, 0 = -a - 2*p + p + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/720 - r**4\/12 - 4*r**2. Let m(l) be the second derivative of w(l). Let j(f) = -2*f + 0*f + 6*f - 3*f. Give m(j(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 200, -4, 4, -3 in descending order.\nAnswer: 200, 55, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 + 3*h + 1. List the prime factors of v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26885482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, e: 3}. What is prob of picking 4 f?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 226*g**3 - 2*g**2 + 2*g - 1. List the prime factors of t(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/120 - m**5\/40 + m**3\/2 - 3*m**2. Let d(v) be the first derivative of j(v). What is d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002048040966 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763 = 81*i + 3530 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*i + 5*i - 6 = 0, -i = -4*s + 14. What is the remainder when s is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1660?\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j = 2*z + 50, 0 = -3*z - 12. Suppose 0 = 2*v + 7 - j. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 at least 55845\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 114*v**3 + 4*v**2 + 4. Let a(w) = 114*w**3 + 3*w**2 + 3. Give -4*a(o) + 3*s(o).\nAnswer: -114*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyc when three letters picked without replacement from yccyyycccycycycc?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 4, -2\/205, 31\/6, -4?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 330?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242174454 or 242174456?\nAnswer: 242174456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 10 = -10*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 16090.\nAnswer: 176990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 39717060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-21))\/(6 - 595\/102)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121201 - 121?\nAnswer: -100122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 3. Give r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 12*m**2 - m + 9. Let k be r(12). Let u = -5.0178 - 0.0022. Let d = u + 0.02. Which is the third smallest value? (a) k (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213006851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -3\/8, 3, -3\/5, 89?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114792389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Suppose -3*a = -b - 5. Suppose -a*t + 16 = -20. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (211200027\/9 - 2)*3. Suppose 0 = 2*g + 2*g - 3*j + o, -4*g - 4*j = 70399996. What is g rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t**2 + 16*t - 21. Calculate q(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255\/4 + -64. What is the second biggest value in -8, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74473 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 28, 50, 86, 142, 224, 338, 490?\n\"Answer: q**3 - 2*q**2 + 13*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n)\/(n**(-1\/23)\/n))\/(n**(-5))**(-4\/11) assuming n is positive.\nAnswer: n**(563\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 291000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1395.3646 + -1389. Round y to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12033212 + 1?\nAnswer: -12033211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20 = 5*k, -l - 10 = 3*l + 2*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 7*o - 7. Let z be u(6). Let c = z + 39. List the prime factors of ((-5)\/c)\/(16\/(-64)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*u**2 - 772*u**2 + 238*u**2.\nAnswer: -1129*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426960?\nAnswer: 2, 5, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**2 + 20*u**2 - 50*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 5543745.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/225*5\/4)\/(-4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/15 = -116174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23c1 - 110?\nAnswer: 22b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -33, 72, 325, 780, 1491, 2512, 3897?\nAnswer: 5700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4 + 120*b**3 - 896*b**2 - 120*b + 900 = 0?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(1\/3))\/a)*a*a**(10\/3)\/a)\/(a**(-1\/2)\/(a\/(a*(a**(4\/7)*a)\/a))) assuming a is positive.\nAnswer: a**(193\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1593, 1595, 1599, 1605?\n\"Answer: u**2 - u + 1593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11133130202 (base 4) in base 16?\nAnswer: -15f722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 281*r - 3 + r**2 - 281*r as g + i*r**2 + u*r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-16)*40020\/(-14007)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/5, 4, -229, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 less than -1636.8?\nAnswer: -1645.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3224 is divided by 278.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1063*p**3 - p**2 + 13*p - 30. Let s be k(10). What is s rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*y - 2*o - 9, -o = -2*y + 28. Let q = 9 - y. Which is the nearest to -1? (a) 0.1 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28292 - 28292 + 161*o.\nAnswer: 161*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4321, 8750, 13405, 18400, 23849, 29866?\nAnswer: 36565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -622\/665?\nAnswer: -622\/665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*h**4 - 27053*h + 1422178 with respect to h.\nAnswer: -40*h**3 - 27053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooqooooqqqoooo?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 12216?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 26 = -5*x, -4*x - 20*x + 23*x = 4*k - 30 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - l = 137, 4*o - 189 + 57 = -5*l. Solve 26*p + o = -9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.03 or 15\/2231?\nAnswer: -5.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1459808, -1460072, -1460336, -1460600, -1460864, -1461128?\nAnswer: -1461392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let c(k) = -3*k + 35. Let d(s) = -c(s) - 6*i(s). Let x be d(-12). Let r(g) = -22*g**3 + 1. Determine r(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.520185 millilitres in litres?\nAnswer: 0.003520185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 4. Let o(l) = -l - 3. Let f(p) = 3*i(p) + 4*o(p). Let m(a) = -5*a + 4. Let v(z) = 9*z - 7. Let n(t) = 7*m(t) + 4*v(t). Give n(f(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 14)*(12 - 333\/27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 171 + 186 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + z - 2*z**3 + 2*z**3 - 3 in the form n*z + k + w*z**2 + t*z**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0 (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 2*q**2 - 2*q - 1. Let t be w(2). List the prime factors of (-2 - -3)\/(1\/t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 9*g)*(-3 - 2 + 4)*(-3 + 6 - 2)*(-3 - 7 + 1).\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*a = -29, -o + 0*o - 2*a + 15 = 0. Let p = o - 10. Sort p, -5, 4.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -34*z + 160. Let q be o(4). Let t be 366\/20 + q\/(-80). Solve f - 7*f = -t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, -165, -1729, -4721, -9603, -16837, -26885?\nAnswer: -40209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**5\/11 - 156*i**4\/11 - 1044*i**3\/11 - 2256*i**2\/11 - 1974*i\/11 - 612\/11 = 0. Calculate i.\nAnswer: -17, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20453, -20455, -20457, -20459?\nAnswer: -20461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3341 and 87400303?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -180 - 12. Let h be (u\/60)\/((-1)\/(-5)). Suppose 5*d - 31 + 7 = h*k, 2*k - 18 = -5*d. Let m(x) = -x**2 + 4*x + 2. Calculate m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79.6845 - 40.689. Let j = s + -39. Round j to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/80)\/(42\/12)*96\/(-9).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 80 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:33 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/((-18)\/(-60))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k + 27*k - 22*k in the form h + d*k and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/7*(-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 6 + 20260331\/67 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168.5 - -200.54. Let y = 2.24 - u. What is y rounded to zero dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17068 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**2 - 236*m - 2645. Let y(n) = n**2 + n. Let u(d) = t(d) + 6*y(d). Find j, given that u(j) = 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 5*x + 4. Let v(z) = 7*z**2 + 5*z - 3. Let g(f) = -3*u(f) - 2*v(f). Give g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -963, -1955, -2947?\n\"Answer: -992*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 85*g + 1500.\nAnswer: -(g - 15)*(g + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -5 (c) -14 (d) 23\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49613*b**5 + 23510*b**2 wrt b.\nAnswer: 2976780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4\/7 - 3*o**3 - 3*o**2 + 165*o\/7 - 18 = 0 for o.\nAnswer: -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-16))\/(2\/(-12))*(-124)\/217?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40587935 to the nearest integer?\nAnswer: 6371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(891\/(-9))\/11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3153.5 + 3157.5. What is the closest to -2\/15 in v, -0.11, 3\/5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 1445, 3, -2\/19 in ascending order.\nAnswer: -3, -2\/19, 3, 7, 1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00339 rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 2793399.\nAnswer: 8380197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34424610 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-454)\/3859 - (-4)\/34. Solve c = -10*v + 8*v, -5*r = -v + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1094 - 1081. Let y(x) = x**2 + 6*x + 1. What is the remainder when m is divided by y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 559*s + 569*s + 2 + 73*s**3 wrt s?\nAnswer: 438*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by -1.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1047b4 (base 14) to base 4.\nAnswer: 2012112322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4 and -17\/2250.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxyc when four letters picked without replacement from xcowywu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/5 + 222*z\/5 - 254968\/5 = 0. What is z?\nAnswer: -628, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/44 and -109\/82551794.\nAnswer: 1816139468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n + 1. Let d = -63 + 64. What is l(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 7*d**2 - 33*d - 6. Let s(j) = -j**3 + 7*j**2 - 37*j - 4. Give -4*a(m) + 6*s(m).\nAnswer: 2*m**3 + 14*m**2 - 90*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.9 less than 138.2159162?\nAnswer: 284.1159162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, -4, 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -660*n**3 + 2*n + 3445 with respect to n.\nAnswer: -1980*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.02. Sort k, -5, 4 in ascending order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000689687 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 370, 365, 356, 343, 326, 305, 280?\n\"Answer: -2*m**2 + m + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 385360860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/11 - 46*s**2\/11 + 1217*s\/11 - 1170\/11.\nAnswer: -(s - 18)*(s - 1)*(s + 65)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 110, 414, 920, 1628, 2538?\n\"Answer: 101*l**2 + l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -54 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/2 - 43\/8. Let m = -35 - -58. Let h = -22 + m. What is the closest to 1\/4 in y, h, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 3, 0, -5, -9, 5 in descending order.\nAnswer: 5, 3, 0, -5, -9, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/6 + t**3 + 7*t**2\/2 + 2*t. Let z be w(17). Is (-3 + 5)*-1 - z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 32 = -3*x, 3*x + 12 = 30*k - 36*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 + 2*j**2 - 5*j**2 + (0*j - 2*j + j)*(0 + 0 - 9*j) - 2*j**2 - 2*j**2 + 0*j**2 + j + 2*j**2 - j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8400807 divided by -9?\nAnswer: -933423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 19*k**5\/4 - 41*k**4\/6 - 170*k - 38. Let j(q) be the first derivative of d(q). Find the third derivative of j(s) wrt s.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {v: 1, y: 1, s: 1, l: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206211*g**2*q**2*y + 16*g**2*q - 6*g*q**2 - g*q - 25*q**2 wrt y.\nAnswer: 206211*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let p(h) = -55*h. Give p(y(m)).\nAnswer: -55*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229837674 + -9099.\nAnswer: -229846773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 14 + -11 + -104 + -30?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 4)*(-v + 1 - 1) - v + 5*v - 2*v)*(-v - 2*v + 0*v + (2*v + v - 4*v)*(-2 + 7 - 1) + 2*v - v - 3*v) in the form h*v**2 + k + u*v and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24.16*9620\nAnswer: 232419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 + q**3 + 2*q**3)*(0 - 1 + 4)*(3*q + 14*q + 0*q) - 5*q**3 + 5*q**3 + 4*q**4.\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**24\/(a**(-21)\/a))\/((a\/a**1)\/(a*(a\/a**(2\/5))\/a)) assuming a is positive.\nAnswer: a**(233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*b - 1073 = 0, 0*b = 3*q + 4*b - 1609. Suppose -3*h - 4*p + q = 0, 3*h - 3*p - 847 + 298 = 0. What are the prime factors of h?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, v: 5, t: 2, k: 2}. What is prob of picking 1 k, 1 v, and 1 t?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 9*o - 733. What is q(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2767 - 681. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hww when three letters picked without replacement from pwpwgpwppgpphwhwwwp.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*4\/(-112))\/((-10)\/(-1640)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (26 + -6)\/(2\/8). Suppose -84*u = -g*u - 88. What is the remainder when 85 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**3 - n**2 - n. Suppose -4*q + 2*q = 2. Let s be i(q). Suppose 0 = 5*j + s*m - 35, -1 = 5*j + 4*m - 8*m. Solve -3 + 18 = j*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2551 + 1?\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:24 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)*(n**0\/n)\/n)**25)**(2\/7) assuming n is positive.\nAnswer: n**(-225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7 = -2*t + 3, 0 = 5*a + t - 1. Let j be (4 + a)*1\/(-1). Let c(w) = 6*w**2 - 4*w + 9. Is c(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(648)*1 + sqrt(648)) + 1 + sqrt(1584) + 1)**2.\nAnswer: 434*sqrt(11)\/9 + 519275\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3023, -6036, -9035, -12020, -14991, -17948?\nAnswer: -20891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 2565 = -7953. What is the remainder when f is divided by 146?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxyxyyyyxxx. Give prob of sequence yxxy.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.79 - -0.21. Which is the nearest to -2\/5? (a) i (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 4 + -3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 999.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-8) - 5 - 4\/(-32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, -181, -413, -645, -877, -1109?\n\"Answer: -232*r + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46277 is divided by 15370.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:06 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938253 divided by 5.\nAnswer: 938253\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215849, -431673, -647495, -863315, -1079133, -1294949?\nAnswer: -1510763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-77))\/(-4 + -1). Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1461011 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31149 or 0?\nAnswer: 31149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 51 = 203. Solve c = -2*a - c + 6, -3*a - 5*c + b = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10 - -1)*(-20)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*1)\/sqrt(3) + 5)**2 + ((sqrt(686)*-1 + sqrt(14))\/(sqrt(700)*-2))**2.\nAnswer: 20*sqrt(2) + 1659\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -74. Solve 5*i - 1 = 5*j - 16, 5*i - 6 = -n*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7171 + 7171.05. Sort 1\/3, t, -0.06, 4.\nAnswer: -0.06, t, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b + 3*u - 344 = 0, 2*u = 4*b - 1460. Calculate the remainder when b is divided by 142.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -23221?\nAnswer: 23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391*j*m**2 + 4*j*m + 22*m wrt m?\nAnswer: -782*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.036 - -0.036. Let c = -43 - l. What is the nearest to -2 in -0.2, c, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 - 709\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-42)\/(-280)*620\/(-31))\/(6\/(-8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*j + 6, -j = k - 3 + 1. Suppose o + 3*o - 4 = k. Which is smaller: 1\/15 or o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10516.1 - 10516. Which is the third smallest value? (a) -0.5 (b) -16 (c) w (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522 by 29.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)\/v**(-5)*(v*v\/v**(-2\/79))\/(v*v**(-4\/3)) assuming v is positive.\nAnswer: v**(-152\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = -9 + 22 + 63 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 114*b + 15444.\nAnswer: -2*(b - 858)*(b + 117)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3117870 and 909.\nAnswer: 3117870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 805770965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 + 118 + 29*v**3 + 111 + 116.\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15429743 and 42.\nAnswer: 92578458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 169*h**2 - h**3 - 163*h**2 - 2*h - 4*h**3. Let s = 6 - 13. Let p(z) = -6*z**2 - z**2 + 285*z**3 - 279*z**3 + 0*z**2 + 2*z. Give s*r(u) - 6*p(u).\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99128501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-7 + 0 + 8 + 1). Let j = 12 - 14. Which is the nearest to k? (a) -1\/11 (b) 4 (c) -3\/10 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359668331 to the power of 1\/2, to the nearest integer?\nAnswer: 18965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*2\/(-4) - (-9 - -10). Let r(h) = -h + b*h + h + 5. Let x(y) = y**3 - 2*y**2 - 11*y + 6. Let z be x(4). Determine r(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Suppose -4*c = -4*h + 32, 4*h + 0*c + 2*c = 20. What is the second derivative of h*i**4 - 4*i + 5*i - 3*i**l wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -11*n**4\/4 + n**3\/3 - n**2\/2 + n - 53. Give m(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 11*j - 25. Let o(l) = -l**2 + 4*l + 15. Let v be o(7). Let h be c(v). Suppose 0 = h*p - 11 - 94. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 21*h + 306. Suppose -h*q + 49*q = -1870. What are the prime factors of q?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/18 - 50*s**3\/27 - 166*s**2\/9 - 160*s\/3 + 1165. What is b in c(b) = 0?\nAnswer: -15, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58858460 by -58858460.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - 0.01. Let t = d - -5.18. Which is the nearest to 0.1? (a) t (b) 3\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0*i**2 - 1\/6*i**4 + 0*i**3 - 93*i + 0. Let o(v) = -v + 5. Let l(z) = -z + 4. Let q(n) = 5*l(n) - 4*o(n). Calculate q(y(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + 4\/(-8). Sort -3\/7, 2\/3, f.\nAnswer: -3\/7, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -116162.6?\nAnswer: -3949528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let t(f) = -2*f**3 - 2*f**2 + 5. Let i(n) = n**3 + n**2 - 1. Let g(s) = r*t(s) + 5*i(s). What is the third derivative of g(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 16432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 449*j**8\/336 + j**5\/30 - 11*j**4\/2 - 9*j**2 - 3*j. What is the third derivative of p(f) wrt f?\nAnswer: 26940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626 a factor of 65175714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53817 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Suppose 0 = w*v + z - 8, -v + 10 = -3*v - 4*z. Factor 0 + 6\/7*s**v + 0*s - 10\/7*s**4 + 4\/7*s**2.\nAnswer: -2*s**2*(s - 1)*(5*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-1))**(2\/45)*(((d\/((d*d**6*d)\/d))\/d*d)\/d)\/(d\/((d\/(d\/(d\/d**(-8))*d)*d)\/d)) assuming d is positive.\nAnswer: d**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 + 7293\/(-204))\/(2\/80)*2\/15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n - 2 + 3\/2*n**2. Is 14 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(9\/(-21))*-8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10476415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v + 110*v - 61*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 times 8080?\nAnswer: -1672560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3676*g**3 - 2*g**2 + 16*g - 14. Calculate the smallest common multiple of 7 and j(1).\nAnswer: 25732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 3. Let x be w(-6). Let u = -18 + x. Solve 0*q - 3*q + u = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 531021678.\nAnswer: 531021682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, -27, -48, -5, -3.\nAnswer: -48, -27, -5, -3, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 0)*(12 - 12 + 3*q) to the form y*q + k and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 39. Which is smaller: m or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2957029 divided by -20\nAnswer: -2957029\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*1\/1*2\/6. Solve s = -3*u - 6*u - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**3 - 11*q**2 - 32*q - 30. Does 15 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:57 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 60. Let s be (2\/1)\/((-6)\/c). Is 35 + (3 - (-2 - s)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 7*n - 50. Calculate m(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t - 5*x = -280, 3*t + 4*x + 374 = 0. Round t to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 41350.648869?\nAnswer: -41350.848869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 4*v**2 + 6*v + 1. Let i be n(5). Let w be ((-8)\/i)\/(22\/(-3)). Which is the nearest to 0? (a) 3\/7 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*z + 0*z + 22*z)*(-29 + z**3 + 7*z + 29 - 5*z**3) as s*z**2 + r*z + y*z**3 + k + d*z**4 and give d.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 33 - 3. Calculate the highest common factor of 2519 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y**3 - y**2 - 17*y + 7. Let p(d) = 9*d**3 - d**2 - 12*d + 5. Let t(w) = 26*w + 5. Let v be t(0). Let k(m) = v*x(m) - 7*p(m). Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 3*o - 4*o. Let c = 342 + -313. Let f(g) = 39*g - 62*g + c*g. Determine h(f(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 14543 = -139392. Does 91 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**2 - 3*s - 2. Suppose 0 = 2*v + 3*n - n, -4*n + 12 = 0. Calculate l(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11284 (b) 2 (c) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*u - 1379 + 1395 = 0, -u + 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11568, -23133, -34698, -46263?\n\"Answer: -11565*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214 and 15836?\nAnswer: 15836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16d01 (base 15) to base 12\nAnswer: -36861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -5*o**9\/252 - 17*o**6\/120 + 83*o**5\/30 - 2*o**2 - 103. What is the third derivative of f(q) wrt q?\nAnswer: -1200*q**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 + -314. Calculate the smallest common multiple of 12\/((-2)\/(-6)*2) and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 84429688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 12. Let r = v + -33. Calculate the remainder when r is divided by 12 - (-1 - -2) - 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p\/p**(1\/4)*p)))**(2\/57)\/(p\/(p**(-1)*p))**(-4) assuming p is positive.\nAnswer: p**(157\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 28428958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}