diff --git "a/data/dm_maths/full_data_1/10942_11255.jsonl" "b/data/dm_maths/full_data_1/10942_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10942_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 176522 (base 12) to base 3\nAnswer: 202120200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/6 - g**3\/6 + 2*g**2 + 20. Let c(r) = -238*r - 77. Let p(i) = -c(i) + 6*z(i). Differentiate p(b) with respect to b.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68168627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641 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: Suppose -14*z + 36937 + 10551 = 0. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 13984*r - 13989*r - 5, -r = 5*m + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135483913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4344cm in kilometers?\nAnswer: 0.000044344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150647 is divided by 230.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25572*b**3 - 57*b + 98495175.\nAnswer: -76716*b**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 16\/4*1. Let j be (-2)\/(-1) + (-6)\/k. Solve 5*d - j = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7402869 to the power of 1\/2, to the nearest integer?\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92160 divided by -11520.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5))**(-2))**(-33) assuming n is positive.\nAnswer: n**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4713 = 4*u - 4765. Let i be (-3)\/6 - (4 + (4 - u)). Let -3\/4*q**2 + 21\/4 - i*q = 0. What is q?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*104\/78*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -228.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - 42 - 6 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, and 1 c when three letters picked without replacement from scsjcssddssdsisq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -305*n**4\/8 - 1811*n**2. Let d(m) = m. Calculate d(t(q)).\nAnswer: -915*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79434660?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 17*v**2 + 168*v + 1376. Let j be a(-10). Let k(b) = b**3 + 8*b**2 + 5*b + 13. What is k(j)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:38 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 11.8, 2\/9, 0, 3.0704?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9694 is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 s, and 1 r when four letters picked without replacement from {r: 1, h: 11, p: 5, s: 2}.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1*(-9 + 1). Let q(z) = 368 - 193 - z**2 + 9*z - 187. Calculate q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/5 - c**3\/5 + 6*c**2\/5 + 4*c\/5 - 8\/5 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 49176*-171\nAnswer: -8409096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 358 - -48. Suppose 4*u + h = 6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 139*a - 11*a - 12*a - 101*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 6\/((-2)\/(-1)). Suppose 5 = v, -3*v - u = -0*h - 2*h. What is the remainder when 50 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146306613 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + ((sqrt(1573) + 3 + 4)*5 - ((sqrt(1573) - (sqrt(1573)*-2 + 2 + sqrt(1573))) + (2 + sqrt(1573))*-5 + sqrt(1573)))))**2.\nAnswer: 125664*sqrt(13) + 1274848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 39 = -5*f - 2, q + 4*f = -12. Let j = -13 - q. What is the third derivative of 3*x**3 - 2*x**j - x**3 + 18*x**6 + 39*x**2 wrt x?\nAnswer: 2160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*7\/42)\/(0 + -5). Let l(u) be the third derivative of -11*u**2 - 13\/24*u**4 + d*u + 0*u**3 + 0. Let p(n) = n**2. Calculate l(p(f)).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sww when three letters picked without replacement from {s: 6, w: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 188.6807 to one decimal place.\nAnswer: 188.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 3 - 4*s - 3*s**2 + 9*s. Let a be q(3). Let u = a - 14. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 5) to base 3.\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5203 or 20809\/4?\nAnswer: 5203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/33 (b) 3 (c) -0.1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*u + 54 = 7*u, 30 = x - 4*u. Calculate the common denominator of 69\/110 and (x\/49)\/((-120)\/(-21)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 11:19 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11443 + -3041. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6150 and 25\/492?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121)\/(-11) - 23) + 100\/9.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/6? (a) 0 (b) 154 (c) 6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 5*s + 11. Let f be x(2). Suppose 3*n + f - 3 = 0, 5*n = r - 24. Calculate the greatest common divisor of 16 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201133 + -110103?\nAnswer: -311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*u = 47*u - 222 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/155400 and -55\/7784504.\nAnswer: 583837800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 24. Suppose -3*z = 4*p - 5*z + 6, 5*z = -s*p - 21. Let a(m) = -m + 8. What is the tens digit of a(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1044 - -1074. What is the greatest common divisor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8708 divided by -4\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 24. Let w be 96\/128 + 59\/(-4). What is c(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.7 - 37. Which is the second biggest value? (a) 1\/2 (b) 2\/9 (c) -0.05 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/7 + 5682*l**3 + 168093684*l**2\/7 + 189640187880*l\/7 - 156312225068736\/7.\nAnswer: 3*(l - 536)*(l + 4598)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 20*o**2 - o - 655. What is the hundreds digit of v(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -65. Suppose c = 5*k + 10. Solve 8*n + 5*o - 5 = 3*n, 5*n - 3*o - 13 = k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 9 (c) 1\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehenneeneennnew. Give prob of picking 1 w and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 + 776*f**2 - 75272*f = 0.\nAnswer: 0, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1225)\/(-14))\/5)\/5.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11303012 (base 4) to base 14.\nAnswer: -8926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1 - 1 - 8 + 3 + s**2 - 12*s - 3. What is v(14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, 6, 60, 174, 366, 654?\n\"Answer: 3*q**3 + 3*q**2 - 18*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 519530789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from hjhjjjjjjjhhhj?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784064788?\nAnswer: 2, 13, 271, 55639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -0.04. What is l rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.346 - -709990707\nAnswer: 709990706.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 174*j**3 - 46*j**2 + 7*j - 7. Let u(r) = 116*r**3 - 31*r**2 + 5*r - 5. Let k(q) = -5*o(q) + 7*u(q). What is the third derivative of k(a) wrt a?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 14*u**2 + 19*u - 1. Let r be y(14). Let w = r + -169. Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 103?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:27 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 760.7357 meters?\nAnswer: 760735.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7065300 to the nearest ten thousand.\nAnswer: 7070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99814474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 4. Let s be t(-4). Suppose -2*l - 5 = 3*p, 3*l = -4*p - 21 + 14. Sort l, 6, s, -2.\nAnswer: s, -2, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -3*q - 10, -x - 5*q = 15. Suppose -4*b - b + 15 = x. What is the second derivative of 14*u - b*u**2 + u**2 + 0*u**2 - 12*u**2 wrt u?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4240610.800011 + 4240613. Let p = k - 2.2. Round p to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicydicconnocddnn. Give prob of picking 2 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 9) to base 11\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - 16. Determine g(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -21. Suppose -z - 3*z = -a. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15776257307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 - d**3 + 4*d**2 + 8*d**2 - 12*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 4479.881?\nAnswer: 8959.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 26 = 82. Let v(z) = -2*z - 23. Calculate v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385702.3 millimeters in nanometers?\nAnswer: 385702300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-40))\/((-147)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 67 = 4*d, 4*d - 92 = 4*h. What is the least common multiple of d and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003985121 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*w - 4*w. Suppose 0 = -3*x - 5*r + 1, r = -3*x - 2*r + 3. Let d(v) = v**2 + x*v**2 - w*v**2. Let f(z) = -13*z. What is d(f(j))?\nAnswer: -338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392367 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12200\/(-27816) - -2*2\/38. Which is the smallest value? (a) 0.3 (b) p (c) -144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364837 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -8.917, -0.002?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7974, -1, -76, 8 in increasing order.\nAnswer: -76, -5, -1, 8, 7974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)\/((-3)\/6). Solve 2*a - 3*z + 17 = 0, -5*a - 21 = -k*a - 3*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/19 - 4202*c**3\/19 - 1017936*c**2\/19 + 4122104*c\/19 - 4138880\/19 = 0. What is c?\nAnswer: -223, 2, 2320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/140)\/((-154)\/44*1\/7).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20013 (base 4) in base 15?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1605 by -3.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 32. Let g(k) = k**2 - 6*k. Let y(n) = 2*n**2 - 13*n. Let d(t) = a*g(t) - 6*y(t). Let p(h) = -h. Give p(d(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x**2 - 2*x**2 + 5*x - 5*x. Let l(b) = 4*b**2. Give o(l(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -9, 175.55, -0.01, -0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/8)\/i*i*i**(-4)*i)**(-13)*((i**(-1)\/i)\/i)**(-46)\/((i**2*i*i)\/i)**(1\/10) assuming i is positive.\nAnswer: i**(7263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*s + 238, 5*y - 8*s - 300 = -3*s. Suppose -y - 21 = -5*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 408*g**3 - 6*g**2 - 6*g. Let r(d) = 50183*d**3 - 737*d**2 - 737*d. Calculate 6*r(y) - 737*z(y).\nAnswer: 402*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h + 5*h**2 + 57*h + 37*h - 186*h + 52*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 717, 1306, 1881, 2436, 2965, 3462, 3921, 4336?\n\"Answer: -n**3 - n**2 + 599*n + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6793, 6854, 6917, 6982, 7049, 7118?\nAnswer: 7189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/1*-2. Suppose -g + 25 = 2*m. Suppose 32 = 2*h + 5*z - m, 88 = 4*h + 5*z. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.28 to 0 dps.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230979 is divided by 131.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 112*j**2 + 1055*j + 722. Determine u(-9).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**2 + 22*p + 14. Is v(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 6*j**2 - 2*j - 4. Suppose 3*i + 10 = 1. Let f be y(i). Let d be (-4)\/14 + f\/(-14). Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(-1 - 29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 51262393450.156.\nAnswer: -51262393444.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 10\/(-4))*(-24)\/18. Solve 2*l + 1 = a - 1, 0 = -5*a - i*l + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126973804409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 - 44*u**4 + 156*u**3 - 244*u**2 + 176*u - 48.\nAnswer: 4*(u - 6)*(u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbo. Give prob of sequence bobb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 425*h**2 - 5840*h + 22080.\nAnswer: -5*(h - 69)*(h - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 14*j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26177 and -0.2?\nAnswer: 26176.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -23*h**3 - 3*h + 8. Let f(q) = -16*q**3 - 2*q + 5. What is -8*f(g) + 5*m(g)?\nAnswer: 13*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6730606?\nAnswer: 2, 17, 197959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -13*w**6\/10 - 29*w**5\/60 + 83*w**2 - 9. Let t(f) be the second derivative of d(f). Find the third derivative of t(m) wrt m.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 49 - 4 = 0. Let z(m) = m**3 - 10*m**2 + 12*m - 16. Calculate the remainder when 24 is divided by z(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let x be n(3). Differentiate -4*b**x + 1 - b**3 + 0*b**3 + 3 with respect to b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.7 less than 1?\nAnswer: 58.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, i: 12}. Give prob of sequence qqqi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 + 27*r + 2. Let o be t(-3). Calculate the remainder when 17 is divided by (6 + (-40 - o))*2\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26763?\nAnswer: 3, 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489779 is divided by 2489758?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*t - 3*l + 60, 60 = 3*t - l. Calculate the smallest common multiple of t and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1360128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215 + 2*f - 210 + 434 - f + 3*f**2 to u*f + m + o*f**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.6. Let f be -1 - 5\/((-5)\/2). Which is the nearest to 1? (a) -3 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3549128 divided by -44.\nAnswer: -80662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -7*q + 2*q. Let s = 23 + q. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57386.69t?\nAnswer: 57386690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -204*t**2 + 13*t + 6. Let z(k) = 612*k**2 - 37*k - 17. Calculate -17*b(y) - 6*z(y).\nAnswer: -204*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from ccciiiiididi.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -5)\/((-18)\/24). Let j = c - 6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 2, u: 2, o: 1, n: 1, r: 4}. Give prob of picking 1 r and 1 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 - -322. What is the closest to -1\/4 in 4, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/195*(-105)\/(-84).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28190599*y**3 + 17320459*y wrt y?\nAnswer: -169143594*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -6. Let g be (27\/(-12))\/((-6)\/16). Suppose 3*m = 6*m + g. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31651905959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 19*f + 7*f + 87039 = 0. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092659434.\nAnswer: 2, 3, 2621, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - (0 + 1)) - (-10 + 31).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*z = -3*m + 163*z - 33, 0 = -31*z + 124 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 63*j - 22. Let r(m) = 819*m - 285. Let x(p) = -27*b(p) + 2*r(p). Calculate the remainder when x(-3) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13252383073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2*n. Let q be z(-4). What is the second smallest value in 4, q, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 104 - 89, 3*h = 3*r - 143790. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 12*f - 54. Calculate the remainder when 28 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23335, -22643, -21491, -19879, -17807, -15275?\n\"Answer: 230*p**2 + 2*p - 23567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*r - 28, 0 = -2*r - 3*r - 5. Let s(u) = 10*u. Let l = -306646 + 306650. Let y(a) = -5*a. Determine c*y(z) + l*s(z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736\/1008 - (80\/(-100) + 76\/70).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -60682?\nAnswer: 60678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6928 - 2?\nAnswer: 6926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016412 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314753\/40 - -62957\/8. Find r, given that 112\/5 - 12\/5*r - b*r**2 = 0.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -6, -0.4, -0.08, -7.\nAnswer: -7, -6, -2, -0.4, -0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 26*d**2 + 7)*(-1 + 1 - 1)*(5 - 3 - 3) to w + c*d + p*d**2 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 43986?\nAnswer: 483846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u**2. Let b(v) = -412463*v. Determine b(i(l)).\nAnswer: 4949556*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36159 divided by 12053\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2205 and 567?\nAnswer: 19845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -22, -48, -86?\n\"Answer: -6*k**2 + 4*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*d - 10, 2*d - 6*d + 20 = -5*b. Suppose b = 3*o + 7 - 25. Is 6 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-23)*d**18*(d**(3\/2))**(-1\/5) assuming d is positive.\nAnswer: d**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14106 = 2*a + 3*h, -h = -a - 4*h - 7056. What is a rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/9)\/(38\/(-9576)*21).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10621, 42601, 95905, 170533, 266485, 383761, 522361?\nAnswer: 682285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j**2 + j**3 + 2*j + 5*j**2 - 5*j + 5*j. Let p be k(-4). Solve -z - p = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7978 - 8021. Put 4, 0.1, 2\/5, c in decreasing order.\nAnswer: 4, 2\/5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5316 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2384823*3\nAnswer: 7154469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9845686 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from sffsfssssffsff?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-111)\/(-2)*(-8)\/(-6). Let f be l\/26 - 2\/(-13). Suppose -4 - 2 = f*m. Let y(u) = -3*u. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 599\/8 - 75. Let i = 233 + -232. Is b less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkwkk. Give prob of sequence kkww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108696 and 16856?\nAnswer: 32717496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740 - 2058 = 448*y + 786 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from aadddaddadaddddd.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i + 1. Let n(l) = 34*l - 4. What is -2*n(k) - 7*t(k)?\nAnswer: 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 593, 1125, 1657, 2189, 2721?\n\"Answer: 532*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219\/(-511))\/(((-1)\/7)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004167 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 1. Let r = 2 + 18. Let f = q + r. Calculate the remainder when 55 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51280, -51279, -51278, -51277?\n\"Answer: a - 51281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n**2 - 77*n + 18. Calculate x(-12).\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 6. Let a(y) = y + 5. Let d(k) = -k**2 - 5*k + 3. Let b be d(-7). Let v = b + 7. Suppose 0 = -24*m + 12 - 84. Calculate m*z(l) + v*a(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 4. Suppose -4*x - 5*d + 37 = 0, -5*d = -4*x - 4*d + a. Let q(k) = -2*k + 2. Give q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 + 0*i**2)*(1 - 3*i - 1)*(1 + 7 - 3).\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153260 is divided by 21891.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1010 + 1005. Let y(r) = r**2 + 2*r - 21. Determine y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-2 + -2 + 13 + -17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2. Let h(f) = -f**3 - 107*f**2 - 205*f - 105. Let s(v) = -h(v) - 6*i(v). Suppose s(p) = 0. What is p?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772 is divided by 424?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243754807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -601?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ava when three letters picked without replacement from {h: 11, a: 3, v: 1, o: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:11 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwgwgggwgww. Give prob of picking 2 g and 2 w.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:58 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.472506 centimeters?\nAnswer: 0.00005472506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 8*n**2 - 6*n - 2. Let h be o(7). Suppose 115 - h = -2*k. Let c = -46 - k. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 674 + -675. Let j = -11 + 35\/3. What is the smallest value in q, -2\/11, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from lllqklqpllllklkkqqql?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 3. Let n be (6\/(-9))\/((-1)\/3). Let d(x) = x - 1. Let g(w) = 2*w + 3. Let j be g(-1). What is j*k(v) + n*d(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39550915 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*(f*f**(2\/3)*f)\/f)*f\/(f**2\/f))\/(f**(-1)*(f**(2\/5)*f*f)\/f))**(3\/7))**4 assuming f is positive.\nAnswer: f**(-124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.89407 minutes in seconds?\nAnswer: 3053.6442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(1 + -2*((sqrt(847) - (sqrt(847) + sqrt(847)*-3 + 1)) + sqrt(847))*3))**2.\nAnswer: -2310000*sqrt(7) + 304950625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*w. Let y be 6*(12\/8)\/3. Suppose -y*x + 2*g + 32 = w, 0*g + 56 = 5*x - 2*g. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 5*b**2 + 4. Let i(h) = 0*h**2 - 2*h**2 + 3*h**2 + 3 - 4. What is -6*i(v) - r(v)?\nAnswer: -2*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4282 and 1744.\nAnswer: 3733904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 110*t**2 - 30961*t - 31070.\nAnswer: (t - 130)*(t + 1)*(t + 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 717*c**4 + 727*c**4 + 2 - 1421*c**4. Let z(s) = 22*s**4 + 2. Let y(x) = -4*g(x) + 5*z(x). What is the derivative of y(i) wrt i?\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285359 is divided by 642668?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*b**2*g - b**2 - 3*b*g + 231*g with respect to b.\nAnswer: -44*b*g - 2*b - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 430 - 25*s + 413 - 846 - 5*s.\nAnswer: -37*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*a + 634*a - 7524614 = 0. What are the prime factors of a?\nAnswer: 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -857, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/7 + -51 + 58 + 56?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 6:51 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85499 is divided by 1474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 730\/350*5. Which is smaller: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*g = -13390862 - 3226265, 4*l = g - 33234221. Let h = l - -1708556. Round h to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12132032313 (base 4) to base 15.\nAnswer: -237ad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2*t)*(-1 + 6 - 3) + 114 + 4*t - 114)*(2*t + t - 5*t) + (-t - t + t)*(-13*t + 77 - 77).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgddvslig. What is prob of sequence dgdi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 8*h - 3. Let o be t(-3). Suppose o*g - 75 = -3*n, 38 = 4*g - 2*g - n. Solve 4*f - g = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 8*f**2 + 6 - f - 2 - 8*f. Let d = -54 - -63. What is the units digit of q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - o**3 - o + (o + 2 - 2)*(9 - 9 + 4*o**2))*(-21 - 38 - 14) as k*o**3 + m*o**2 + y*o + v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 57 - 32 = 0. Suppose 40 = b*w + 10. Suppose 0 = 45*y - 46*y + 2. Solve 2*v + y*g + 6 = -w, 3*g + 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 6*w + 12*w)*(-3 + 0 + 4) + (-3 + 4 - 3)*(0*w - 4*w + 2*w) + 2*w + 2*w - w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -8\/11, -1.6, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 + 2*d. Let p be j(1). Suppose p = -51*q + 46*q + 5. Solve -2*l - q = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8039, -8036, -8031, -8024?\nAnswer: -8015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 32.8. Let k = 33 - s. Let x = 6.2 + k. Round x to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 + 2*w - 6. Suppose 5*u - 1 = 14. Let g be (-2 + 1)\/u*-12. Let y be r(g). Solve -y*x - z = -8, -z = -3*x - 8 + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5))\/u)**(-4\/11)*(u**1)**30 assuming u is positive.\nAnswer: u**(1646\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4350 + -4352. What is the closest to s in 8, 1\/3, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.212 + 0.211534. Round n to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2123*d**2 - 5. Let w(l) = 124*l + 4. What is w(c(p))?\nAnswer: -263252*p**2 - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:07 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 46 = 4*r - 2*n + 18, -61*n - 85 = -4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 f when four letters picked without replacement from mofmffwwmffpff.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1 - 4*a**3 + 9*a**2 - 1 + 8*a**3 - 3*a**2 = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(1635 - -1). Let q = -488 + t. Let c be (-2)\/(5\/(q\/(-4))). Calculate the highest common divisor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15732074 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*k - 38*k**4 + 39*k**4 + 6*k to the form v + d*k**4 + w*k**3 + x*k**2 + s*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjvjvfvvjfovfvjfj. Give prob of picking 1 f and 1 v.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/90 and -13\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - -2?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.66.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2038 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 415 and -63.4736759?\nAnswer: 478.4736759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2592 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 3 - (16\/4 - 4). Suppose -5*b = 25, k = o - 5*b + 2*b - 417. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 583*m**2 + m + 1. Let f be j(-2). Suppose 0 = 3*r - 249 - f. Round r to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 560*t - 1662.\nAnswer: -2*(t + 3)*(t + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**3 - 21*b**2. Let i(u) = -u**2 + 17*u - 3. Let g be i(18). Let q(y) = -3*y**3 + 5*y**2. Give g*q(n) - 5*o(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -25. Let n = t + 33. Solve -n*l - 8 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 28*s + 2. Calculate f(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 10*h**2 - 3*h - 12. Let k be z(-10). Is 1\/(-2) - (-2223)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1199 - -1201. Let r(k) be the first derivative of 8 + 0*k**f + 3*k + 2\/3*k**3. Differentiate r(o) with respect to o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3\/4, 3, 2\/9, -0.181 in ascending order.\nAnswer: -1, -3\/4, -0.181, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a minute?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*b + 6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 3*v - 108 = 0. Suppose -2*p + 4*g = -28, 8*p = 6*p - 4*g - v. Put 0, -4, 9, p in descending order.\nAnswer: 9, p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7618220 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -979530 to the nearest 1000.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:07 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*g**2 + 811*g**2 + 671*g**2.\nAnswer: 1232*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/39)\/(14\/6). Let y = 0.6 + -0.5. Suppose -k = 1, 3*k + k = -3*w - 16. What is the closest to y in 5, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 25?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, q: 2, f: 1, t: 1, j: 2}. What is prob of sequence qo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -1984678.943753?\nAnswer: 1984678.843753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 11*a + 198. Let g be l(18). Solve g = -26*m + 8*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 54, 46, 10, -66?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4884 and 840.\nAnswer: 341880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, m: 2, h: 1, l: 5}. Give prob of picking 1 m and 1 h.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/6 + 21*h**5\/5 + 143*h**4\/4 + 299*h**3\/3 - 72*h**2 - 320*h - 333. Solve p(y) = 0 for y.\nAnswer: -8, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = g, -4*g + 3 = z - 9. Find l such that 9*l**3 + g*l**4 + 2*l + l - 9*l**2 - 3*l**4 - 4*l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2169, -3, 5, 4, -11 in increasing order.\nAnswer: -2169, -11, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 84*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 262 - 1282?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 40 - 4 = -4*x, -5*y + 15 = 0. Suppose t + 1 - x = 0. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 * -0.04\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 + 3) - (-28 - -29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 339.9674 kilometers?\nAnswer: 339967400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -276*f + 4. Let u be d(-3). Let r = u - 371. Let g = -7839\/17 + r. Which is the third biggest value? (a) -5 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -26*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988100334 to the power of 1\/2, to the nearest integer?\nAnswer: 54664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-15))\/(63\/(-105)). Let y = -0.4 - -0.3. Which is the nearest to 1? (a) 1.6 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/2)*l\/((l**28*l)\/l)*((l*l**(-21))\/l)\/l**(-36))**(-39) assuming l is positive.\nAnswer: l**(507\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2206836, -2206834, -2206832?\nAnswer: -2206830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/5)*g*g)\/g)\/g**(-1\/2))**(2\/39) assuming g is positive.\nAnswer: g**(17\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14*k - 5. Let z(m) = 79*m + 24. Let v(w) = 11*h(w) + 2*z(w). What is v(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times -0.17?\nAnswer: 7.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 3*h**5\/140 - h**4\/7 + 2*h**3\/7 + 2*h - 22. Factor c(m).\nAnswer: 3*m*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1316580 and 5661294?\nAnswer: 56612940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(81) + sqrt(81)*-2)*-4)**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3aa09?\nAnswer: -3aa07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/5 of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let u(j) = -j**2 - j - 3. Let k(z) = 2*z**2 + 2*z + 7. Let t(h) = 2*k(h) + 5*u(h). Calculate t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9310 = -578*t + 88*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6317670 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 14*u - 3*u**2 + u**2. Let d be g(14). Solve 11 = -0*t + 3*t - v, -2*t + 5*v - 10 = d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in -3\/5, 15, 0.04?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140297 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*u - 3*u**2 + 23 + 2*u**2 - 106 + 713*u.\nAnswer: -u**2 + 1317*u - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*n + 7 - 25, -2*n + 4*c - 2 = 0. Solve -d = 2*x + n*x - 25, 3*d - 7 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = t + 6. Suppose -3*x - x = -20. Suppose -5*g + 4*g + x*s = -30, -t*g = s - 20. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8063, 8066, 8071, 8078?\nAnswer: 8087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 - 196\/10)\/(2\/(-10)) is divided by 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-24)*(-252)\/(-147)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a + 6 - 2 + 10*a - 8 - 4. Give n(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6434526 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + w + 12 = -2*w, -3*b = w - 6. Suppose b*n + 2*n = 0. Sort -1, -1\/6, n in descending order.\nAnswer: n, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -58, 84, -3, 7.\nAnswer: -58, -3, 0, 3, 7, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -20*w**2 - 591*w - 562. Suppose -2*g - g + 5*y = 52, -y + 14 = -g. Let k(h) = -5*h**2 - 148*h - 141. Let p(a) = g*k(a) + 2*j(a). Factor p(u).\nAnswer: 5*(u + 1)*(u + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {t: 1, g: 1, v: 2, a: 1, i: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -21898, -5 in descending order.\nAnswer: -4, -5, -14, -21898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 28*v - 9. What is the units digit of p(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2ab7 - -1707a?\nAnswer: 143a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 108220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = n. Let q(z) = n*z**2 - 4*z + 4*z. Let s(f) = -f. What is q(s(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 49883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -528 - -951. Let w = 418.6 - v. What is w rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + 0.9. Let p = 5.3 - 4.9. Which is the second smallest value? (a) d (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/2 - 6\/(-4). Let l be (-3)\/9 + w\/(-4). What is the closest to -0.1 in l, 4, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from {c: 2, s: 1, i: 2, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249945579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16007 = -30*o + 11563. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2024111 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-22))\/(z\/z**(2\/49)*z))**(1\/24))**(1\/10) assuming z is positive.\nAnswer: z**(-269\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48485.898 + -48479.0379358. Let r = d - 6.86. What is r rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 738 = -4*i. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*w + 15 = -0*w, w = -4. Let t = -6 + z. Let j = t - -2. Let s(p) = p**2 - 4*p + 4. Give s(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Let p(c) be the second derivative of c**4\/12 - c**3 + 3*c**2 + 27*c - 1. Calculate p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/a**0*a)\/a))**(13\/6)*a*a**(2\/7)*a**(1\/4) assuming a is positive.\nAnswer: a**(-53\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -57*p + 274. Give v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-54)*((-92)\/24)\/(-23)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.5 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, g: 5, z: 3, d: 1, b: 8}. What is prob of picking 2 b and 1 d?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 281, 282, 283, 284?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 17 + (2 - 16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3\/5, 3, -844, -3.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 1:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8767339445 to 2 decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*b**2 - 24*b**2 - 38*b**2)*(-4*b + 3*b + 2*b) in the form x*b**2 + n*b**3 + w + i*b and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8606371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110012331 + 0?\nAnswer: 110012331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1911*v + 3*o + 12 = 1910*v, o = -5*v + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -13, -14, -13, -10, -5?\n\"Answer: m**2 - 6*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (102 - 94 - (0 - -15) - -23)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (97 - (242 + -50))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 3. List the prime factors of x(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q = -284 - 1045 - 453 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 8, 226 in descending order.\nAnswer: 226, 8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4572652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 9, -9, 2, -3 in descending order.\nAnswer: 9, 2, -3, -9, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*c*l - 6940*c + 188*l wrt l?\nAnswer: 13*c + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 536*r - 4564*r - 2.\nAnswer: -5100*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 11*j - 13. Let h be k(-9). What is the remainder when ((-14)\/(-4))\/((-2)\/(-4)) is divided by (-2)\/(h\/(-2) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -5 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.2053 to zero dps.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13310*a + 2659*a + 2658*a + 2667*a + 2660*a + 2664*a + 10.\nAnswer: -2*a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 - 2. What are the prime factors of m(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243619 - 538801 = 11020*t for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4151*r - 5105753. Determine c(-1230).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*h**2*o**2 + 2*h**2 - 136763*h*o**3 + 69254245 with respect to o.\nAnswer: -34*h**2*o - 410289*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4567, 9151, 13749, 18367, 23011, 27687, 32401, 37159?\n\"Answer: g**3 + g**2 + 4574*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 8) to base 5.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*z + 60 = -423*z. Which is the second smallest value? (a) -0.01 (b) z (c) 2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/42 and 68\/9237921.\nAnswer: 18475842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10588\/11 + 962. Which is the third smallest value? (a) 2 (b) t (c) -1\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*q**4 - 887561*b*q**3 + 2*b*q**2 + 38762*b - q**6 - 64*q**2 - 13*q wrt q.\nAnswer: -72*b*q - 5325366*b - 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 + 25976*h**3 - 42249892*h**2 + 252798432*h - 378847296 = 0 for h.\nAnswer: 3, 3244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + -5 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*7\/(-35).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-4) - (-7 - -7)\/(-6). Solve -5*o = -5*a - 45, a - 6*a - 33 = -j*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -449 - -2244\/5. Let k = 209\/111 + -8\/37. Let i = -0.2 + 0.3. Which is the nearest to -2? (a) k (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.1282ng to grams.\nAnswer: 0.0000001881282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2601568 divided by 2\nAnswer: -1300784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t - 5 + 22*t + 3 in the form f*t + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 1.9 (c) -3\/7 (d) 1 (e) 1\/2 (f) 5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 19521?\nAnswer: -19523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(242) + -1 - sqrt(242))**2 - ((sqrt(242) - (sqrt(242) - sqrt(242)*1)**2) + 4)).\nAnswer: -11*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 11:47 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 = -b, 5*b + 4 = b. Suppose c*k + 2 = -3. Is 39*(0 - k) + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111977.\nAnswer: 111977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 114*r**2 - 90*r + 1305. Determine p(-115).\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, j: 2, h: 1, x: 5, g: 3}. Give prob of picking 1 x and 2 f.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15025353 - 5?\nAnswer: -15025402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w + 52*w - 9752 = -7*w. What is the remainder when w is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/5)\/(8\/(-40))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/5040 + s**6\/2160 + 29*s**3\/3 + 14*s**2 - 1. Let g(x) be the first derivative of y(x). Determine d so that g(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:17 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 20232.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3160, 3154, 3146, 3136, 3124, 3110?\n\"Answer: -k**2 - 3*k + 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*l. Let n(y) = 2*y**2 - 3*y + 1. Let q be n(2). Is ((-13)\/q + 1)*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485.8 - 486. Which is the closest to -1? (a) 3\/5 (b) 4\/7 (c) z (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqeq when four letters picked without replacement from crerrrcrqceerrqr?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66096.7 rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022321991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 792, 785, 776, 765, 752?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9698 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4296 and -5\/2528196.\nAnswer: 5056392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/((-4)\/(-16)*-2). Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7427.\nAnswer: 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(420)\/(sqrt(12)*-1))\/((sqrt(126)\/sqrt(2))\/sqrt(9)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 - 2*t**3 - 1 - 7*t**4 - 4*t**2 + 1 as y*t**4 + n*t**3 + j + l*t**2 + o*t and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2015 + 4086. Let p = -852 + b. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8563*d**2 + 7938*d**2 - 15604*d**2 + d**3.\nAnswer: d**3 + 897*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.11762938 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3593 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1527, -3036, -4547, -6060, -7575?\nAnswer: -9092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 - 50 = -5*f, 0 = -3*w - 4*f + 230. Suppose 9*k - 89 - w = 0. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -5754078.\nAnswer: -1\/1918026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -254, -507, -760?\n\"Answer: -253*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/72 - 17*v**3\/36 - 13*v. Suppose o(u) = 0. Calculate u.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 l, and 1 c when four letters picked without replacement from {c: 2, l: 4, g: 1, n: 1, f: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2 + 8. Factor 202*u**4 + 52*u - 6*u**4 - 180*u**2 - 16 + 60*u - 35*u**h - 77*u**3.\nAnswer: 4*(u - 1)*(u + 1)*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 24*a - 20*a. Which is greater: 49 or a?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/184 and -33\/3266?\nAnswer: 13064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*j - 5*l + 8 - 57 + 14, -31 = 3*j + 4*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q + 4\/3*q**3 + 0*q**2 + 1. Let c(v) = -v. Calculate c(l(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 + 5*u + 6. Let n be m(-4). Let v(h) = 9*h - 10. Determine v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 203. Let g be ((-2)\/(4\/(-19)))\/(6\/(-24)). What is the remainder when n(g) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.419 + 2.319. Let j(d) = d**3 - 4*d**2 - 5*d + 3. Let k be j(5). Which is the closest to -0.1? (a) k (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.18 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-2)\/1)\/8. Let d = 0 - -0.1. Is c < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 - m + 5. Let i = 115 + -108. What is q(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.9 + -31. Let l = -4 + s. Let j = 4021 + -4026. Which is the closest to l? (a) 0.4 (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 9*k**2 + 11*k + 21. Let z be n(7). Sort -25, z, -5 in ascending order.\nAnswer: -25, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjxftjjjj. Give prob of sequence jt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 50*y**2 - 505*y - 38. Let i be o(-36). Let a(q) = 50*q - 7. Determine a(i).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -671736 * 16.1\nAnswer: -10814949.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 1, o: 2, l: 1, i: 1}. What is prob of sequence pm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose 5*j - h*a - 12 = 0, 0 = 5*j - j + a - 18. What is the lowest common multiple of 18 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - j + 9547*j**2 + 7*j.\nAnswer: 9547*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by 3004674\nAnswer: -70\/1502337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-12) + (-4)\/(-6). Let d be 0 - (-1 - (-6)\/x). What is the units digit of (-66)\/(-4) + d\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a + 1. Let s be m(-1). Suppose 6*f = s*f - 10. What is the highest common factor of f and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8212, -64460, -216922, -513706, -1002920, -1732672, -2751070, -4106222?\n\"Answer: -8018*c**3 + c**2 - 125*c - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o + 6. Let x be v(-6). Suppose -3*m + 3 = -x. Find the third derivative of -i**2 + 5*i**5 - 5*i**m + i**5 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - s - 21 + 76, 0 = 3*q + 2*s - 40. Let k = 16 - q. Let l = -2 + k. Solve -l*u - 18 = w, -2*w + 10 = -7*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.51490009 + -23.515. Round h to six dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 f when four letters picked without replacement from iiififfififififiiff?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 813, 1563, 2313?\n\"Answer: 750*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1789)\/3578*(-2)\/(-49).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/72*3 - (-16)\/6. Suppose i - 4*i + 3 = -5*b, -d*i - 4*b = -36. What is the greatest common factor of 426 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 20\/31 (b) 0.5 (c) 1\/49 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -2*u**3 - 296. Let m(h) = 3726*h**2 - 299. Let y(p) = 25*p**2 - 2. Let b(w) = -6*m(w) + 897*y(w). What is b(l(a))?\nAnswer: 2484*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4\/3, 0, -0.5 in decreasing order.\nAnswer: 4\/3, 0.5, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33549?\nAnswer: 3, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * -2950.\nAnswer: 197650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.189 - -2.811. What is the closest to 1 in 4, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 + -22.71. Let r = u - -22.9916. What is r rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 2, -1, -2, -1, 2, 7?\n\"Answer: p**2 - 8*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 21 = -5*o + 6, -g = 4*o - 32. Let j(s) = -8*s - 7. Let r(h) = 3*h + 6*h - 2*h + 6. Give o*r(i) + 6*j(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -672.11193 - -673.97. Let f = i - 2.15807064. Let s = f - -0.3. What is s rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*m - 12 = 0, 5*m = u - 19 - 5. Suppose c + 3*x - 13 = 0, 5*c = -u*x + 55 - 1. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - c - 22 = 0, -163*c - 22 = -5*h - 162*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 7*b = -5*b + 18, -3*d + 4*b = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 36. Suppose 0 = 5*x + i*b - 45, -x - 2*b = -0*b - 5. What is the greatest common divisor of 143 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*360\/(-225)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(8) + sqrt(216)\/sqrt(12))*-3)**2.\nAnswer: 180*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 30 = -3*v. Let j = v - -2. Is (-1 + -29)*j\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 1, m: 1}. Give prob of sequence ukm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1013 - -1016. Let y(z) be the first derivative of 5\/3*z**s + 0*z - 5\/2*z**2 + 10. Factor y(x).\nAnswer: 5*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37.67 in -4, -11\/2, -3, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273246146?\nAnswer: 2, 3, 37, 601, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g + 5*z, 3*g - z - 12 = -g. Let o be (-1)\/g*(-8)\/2. Is o - (1 - 2)*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 8:01 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 66226, -3, -5, 1 in decreasing order.\nAnswer: 66226, 6, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**2 + 1. Let k(z) = z**2 + 32*z + 86. Let o be k(-29). Determine a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13334d (base 14) to base 5\nAnswer: -132140321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:57 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - ((-1*sqrt(187) - sqrt(187))*-6 - sqrt(187)))*4)\/(1*(sqrt(99) + (sqrt(99)*2 - sqrt(99)))\/sqrt(9)))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449 + 451. Let n(q) be the second derivative of 0*q**d + 1\/294*q**7 + 1\/210*q**6 - 2*q + 0 - 1\/140*q**5 - 1\/84*q**4 + 0*q**3. Factor n(o).\nAnswer: o**2*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 10*b + 14. Let q = -40 - -48. What is the remainder when j(q) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 - 3*s**2 - s - 3. Let y be m(-3). Let x be (-148)\/7 - (5 - 108\/21). Let a = x + 30. Calculate the greatest common factor of a and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1) + 2 - 10. Let x be (-89)\/(-7) - (3 - (-23)\/y). Let r = 126 - x. What are the prime factors of r?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 + -132. Calculate the remainder when 93 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:15 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 535\/7. Let a = -56 - -28. Let f = a - -28.2. What is the third smallest value in u, -4, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {p: 2, e: 1, w: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2352*c**3 - 73*c**2 + 46*c**2 + 27*c**2 - 39 + 927 wrt c.\nAnswer: -7056*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324, -640, -958, -1278, -1600, -1924?\nAnswer: -2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/45 + 56\/(-230). Let k = r + 26\/69. Let s = -5496\/323 + 330\/19. Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 30621.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 0*c + 3*c + (0*c + c - 2*c)*(1 + 1 + 0) - 2*c + 2*c - c + (-2*c + 3*c + 0*c)*(-2 + 7 - 3) + 0*c + 0*c - c + (19 - 8 - 7)*(c + 0*c - 2*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13ada (base 15) in base 16?\nAnswer: f6e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3 - 187. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Let a = 3 - s. Does 13 divide 28 - a\/(-2 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 564*o + 1040. Calculate j(-143).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001157144 divided by -4.\nAnswer: -250289286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggguupvugovguuvgiupi. Give prob of sequence pvo.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 5*w - 7. Let x(y) = 6 + 6*y + y**2 - 3*y + y - 3*y**2 - y**2. Give -6*m(q) - 7*x(q).\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2952920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, 1 g, and 1 a when four letters picked without replacement from afgvhfa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -192. Suppose -d = -5*c + 299. What are the prime factors of c?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.3 (c) 1\/6 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.016843 and 0.3?\nAnswer: -0.0050529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/4 or 3937?\nAnswer: 3937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4472099*a**2*l + 19*a**2 - 13358153*a*l - 15*l wrt a.\nAnswer: 8944198*l + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -a - 3*a, 3*a - 2*v - 23 = 0. Calculate the remainder when 4\/10 + (-1044)\/(-90) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7916, -3, 5, -5, 4 in ascending order.\nAnswer: -7916, -5, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 + 1 = 0. Suppose 5*c - 6 = -3*m, 6*m - 3*m - l*c - 6 = 0. Suppose 0 = 5*z - m*z - 15. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - -1 - (1 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**5\/20 + c**3\/3 + 3*c**2\/2 + c. Suppose 123008*q = 123020*q + 36. Calculate i(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2. Let a(k) = -119*k + 4. Determine n(a(l)).\nAnswer: -99127*l**2 + 6664*l - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 4*u**3\/3 - 12*u**2 + 36*u - 18. Solve o(v) = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22596832477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-9)\/(-180)*(-4552)\/(-6). Do v and -36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p - 10*p**3 - 6*p + 8*p**3 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 228 in 2.4, 0.5, -6, -2\/5?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4096*p**2 - 164608*p + 1653796 = 0.\nAnswer: 643\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 51 = -8*a + 2*g, 5*a - g - 72 = 0. Suppose 7*j = -8*j + a. Solve j = -s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4715\/(-3772)*(32\/10)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 73 = -4769*s + 4778*s - 2, -3*n = -2*s - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + -248 + 251?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-705)\/(-135) - 2\/9. Suppose 0 = -v - 2*i - 2*i + 6, 0 = 5*v - i - 9. Suppose j*t - v*t = 39. What is the highest common factor of t and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -199, -297?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(-1 + 1 + g)*((1 - 3 + 1)*(g**4 - 3*g**4 + 4*g**4) - g**3 - g**4 + g**3) - g**5 - g**5 - 2*g**5.\nAnswer: -22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16389 + 14992.32. Round k to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 23*s + 20. Let i(j) = 15*j**2 - 369*j + 321. Let u(v) = 2*i(v) - 33*w(v). Find k, given that u(k) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1359598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12488?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606188318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyannokk. Give prob of sequence kka.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s - 55. Let t be v(6). Suppose -8*i + 3*i - 5*p + 235 = 0, 2*p = -t*i + 220. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/26*-1*4. Factor -21*h**2 + 19*h**f + h**4 - 1 + 2.\nAnswer: (h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6) + -1 - (-2 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35195*y + 35070*y - 1875 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 (base 4) in base 9?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - (66 + (-132 - 18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 25. Let r(n) be the third derivative of -n**4\/12 - 13*n**3\/6 + 103*n**2. Calculate -4*j(z) - 7*r(z).\nAnswer: -2*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 127. Let m be (-31616)\/(-43680) + 4\/(-70). Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518339287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/21 (b) -0.2 (c) 2 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-26))\/(130\/(-338)))\/((-532)\/70)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221201021121122 - -12?\nAnswer: 221201021121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-264)\/(-21) + 24\/(-42). Suppose 3*x - 3*m = k, -4*x + 13 = -0*x - m. Suppose l + x*a = 132, -6*a + 5*a + 380 = 3*l. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooogjjiijijgjoooii. What is prob of sequence jjog?\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 182077343958 - 0.7\nAnswer: 182077343957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -8*d - 30, -d + 2*d = 5*a - 33. What is the smallest common multiple of a and 4278?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -1 + 2 + -1 - -21\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -10992\nAnswer: -10992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -186384 and -186382 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdjjdllljldggdlllll. Give prob of sequence gj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*u - 15 = 0, -5*u = 5*p - 22 + 7. Solve -p*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -4. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*m = 6 + 10, 4*o - 3*m - 28 = 0. Let g be 9 - 2 - (-1 + o). Suppose -x = -4*x, g*z + x - 40 = 0. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-6))\/((-9)\/(-27)). Let h(g) = -17*g + 6. Let r be h(y). Let s = 139 + r. Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536)*2 - -3*sqrt(216))\/((-1*sqrt(40))\/sqrt(5)*-3).\nAnswer: 25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w - 3*w + 5*w + 7 + w. Let i(y) = 3*y + 3. Let h(s) = -13*i(s) + 6*u(s). What is h(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 = -15*x. Let o be 4\/(-15)*6\/28. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133732634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4.8 - 688130796\nAnswer: -688130791.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -486 in decreasing order.\nAnswer: 4, -1, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3546*x + 1049. Is w(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -35.58. Let f = -0.62 + p. Let x(r) = -r**2 + 4*r. Let d be x(5). Which is the nearest to -2\/11? (a) f (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*x - 5*x + 23*x - 94*x.\nAnswer: 124*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 730780.7m?\nAnswer: 730780700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 2*f - 2*f + (3 - 5 + 6)*(0*f + 3*f - 4*f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3237002 or -3236942?\nAnswer: -3236942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/45)\/(20*279\/(-4650))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1 - (-2006)\/5. Let q = l + -402. Let p be (8\/(-24))\/((-2)\/6). Is p < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {r: 1, f: 4, d: 2, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5, 53, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(-3\/11))*o))\/((o*o**(-4\/3))\/o))**(-42)*(o**(-1)*((o*o**(-1\/2)\/o)\/o*o)\/o)**(-13) assuming o is positive.\nAnswer: o**(-769\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 168 = 3*r, 551*o - 275*o + 3*r - 42 = 275*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5 - 4 + 0 + 14496171*m**2. Let b be t(1). Let n = b + -10296172. Round n to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -1.038935?\nAnswer: 0.638935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 998 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 30*g + 493. Let b be v(-16). Solve -3*z + b = 5*r + 14, 4*r - 7 = -5*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/7 - 36*s**3\/7 - 18*s**2 - 156*s\/7 - 9 = 0?\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 19. Suppose -4*m + u + 8 = 0. Solve 8 = -4*l + r + r, -m*r + 5 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.1262.\nAnswer: -0.2524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372673 is divided by 372245.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*s - n + 5*n, 5*s - n = -5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 103. Let t = r + -23. Is 28 a factor of (-24)\/t*(-23 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 18*v - 15, -j = 4*v + 15. Solve -j*z = -10*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*l - 16. Suppose 6 = -3*h - l*h. Put 0, -3, h, -2 in increasing order.\nAnswer: -3, -2, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1288 and 2851448.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8183)\/7014)\/(22\/24)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61479.23mm?\nAnswer: 61479230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4430 - 7337 = 18453. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78662\/15 - 15730\/3. Factor -u*a**3 + 0*a**2 + 4\/5*a + 2\/5 - 2\/5*a**4.\nAnswer: -2*(a - 1)*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o**(2\/3))\/(o**3*(o*o**(2\/5))\/o*o))\/(o**(1\/11))**(-30) assuming o is positive.\nAnswer: o**(-56\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 806*h + 239090 = -1717*h - 69132 + 86198 for h.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01196826 to five dps.\nAnswer: -0.01197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**3 + 61*q**3 - 32*q**3 - 2*q**2.\nAnswer: -58*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5740)\/(-100) - (0 - 6\/10). Calculate the highest common factor of u and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-370)\/72 - 1\/(-2). Let y = g + 19\/4. Let j = y + -7\/9. Which is the third smallest value? (a) 0 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31471249 to the nearest integer?\nAnswer: 5610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 324.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 668053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.88 <= -166703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1506 and 1508 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 185, 189, 193?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = 4*c - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -79\/5 (b) -1\/10 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12963 divided by 29\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**12*g)\/g*g)\/g**(1\/8))\/(g**4)**(-1\/34) assuming g is positive.\nAnswer: g**(1903\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -0.1014?\nAnswer: 0.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 955090.5 hours?\nAnswer: 3438325800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llwlwlwlwll?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 2 - (-5 - -5) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g + 182*g - 66 = -2*h - 31*g, -4*g = 13*h - 459 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 - 22*r**2 + 8*r - 1. Let b(j) = -j**3 + 2*j**2 + 1. Let d(t) = -6*b(t) - w(t). Let v be d(9). Solve -1 = -3*h - v*k - 27, -5 = k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*11 - (-12)\/4. Suppose -2*k = 8 - f. What is the lowest common multiple of 2\/(-8) - (-27)\/12 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 10*l + 72. What is v(5)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -4, 0.09, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**3\/6 + 575*r**2 - 1. Let v(m) = 8*m - 5. Give -v(y) - 6*x(y).\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11464 + -45857\/4. What is the closest to -1\/5 in 1\/52, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -18*q**7\/7 - 10*q**3\/3 + 4. Find the third derivative of z(d) wrt d.\nAnswer: -2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -5 (b) -236 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001101 + -11010100?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166 (base 7) in base 5?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.61957, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -6. Let b(o) = 3*o - 2. Let z(s) = -3*s + 1. Let p(w) = r*b(w) - 4*z(w). Differentiate p(v) with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(13\/((-182)\/(-35)))\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15\/916 + 188561\/8244. Let j = d - 463\/18. What is the common denominator of -35\/116 and j?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -80, -136, -188, -236, -280?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 549271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 69\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27776 divided by -3472\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 u when four letters picked without replacement from {k: 1, x: 1, u: 1, e: 3, s: 3, t: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24347, 0, 10, 3 in decreasing order.\nAnswer: 10, 3, 0, -24347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17567, -17577, -17593, -17615, -17643, -17677, -17717?\n\"Answer: -3*w**2 - w - 17563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3377 - -3410. Sort -12, 1, 5, d in decreasing order.\nAnswer: d, 5, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921980910 to the power of 1\/2, to the nearest integer?\nAnswer: 43840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 52735.\nAnswer: 158205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*i + 13 - 6, -5*y - 4*i - 31 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 4334044313?\nAnswer: 4334044224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 22*f - 26*f + 115, 0 = -32*s - 2*f - 0*f + 618 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 8:55 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:02 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/213 (b) -5 (c) -1\/3 (d) 2\/13 (e) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73, -72, -71, -70?\n\"Answer: z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {x: 1, a: 2, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.3003 to zero decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -31*t. Solve -5*z + 0*z - 15 = t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96712*d**2 - 74277 wrt d.\nAnswer: 193424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:18 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.1. Let c = 47.89 + 0.11. Let o = 47.6 - c. What is the closest to t in -2\/11, 4\/5, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = 10. Let l be ((-2)\/(-6))\/(n\/276). Let j be ((-9)\/6)\/(1\/l). Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 734675.6ng?\nAnswer: 0.0000007346756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 17*k + 5. Let g(p) = -p**2 - 8*p + 2. Let f(z) = -5*g(z) + 2*r(z). Find the second derivative of f(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-289)\/1734)\/((-350)\/(-20) - -13).\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - 1 - (-11 + 13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125779555 and 30690.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13572000 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136449 is divided by 2820.\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4 - -7)*-1. Sort 1, r, 3.\nAnswer: 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let r(j) = j + 15 + 0*j - 11. What is r(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 2, q: 1, g: 1, b: 5, k: 1}. Give prob of sequence ncg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/40*(-212)\/318*(8\/5)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846065998 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*y + 61 = 5*v, -v = 2*y - 22. What is the least common multiple of 8 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, 0, -0.8, 0.042, 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 15*o + 124 = -92*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 5*s - t, t = -s. Let w be (-2)\/(-4)*-2*-6. Let u(y) = w - 2*y - y + 1. Calculate u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5992171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.088 in 5, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.1 (c) -0.036 (d) 1\/6 (e) -5497\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 3*a**4 + 4*a - a - a + 2*a - 3*a + 17 as d*a + c + f*a**4 + g*a**3 + p*a**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276150007.\nAnswer: 11, 1571, 73847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20c + -5?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6 + -6)*(3 + (4 - 5))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 4*p = -10*y - 1100, 3*y + p - 845 = 0. Suppose -2*r - 5*h = -11, r + 33 = 4*r + 2*h. Suppose -r*c + y = -11*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2154*f**2 + 2092692 - 2092692)*(7 - 7 + 3*f**3).\nAnswer: 6462*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - 30\/(-108). Suppose -2*g - 21*g + 46 = 0. Which is the biggest value? (a) -29 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 25. Suppose z*f - 15 = -40. Let i = -5 - -8. Which is the second smallest value? (a) f (b) i (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 * -73256\nAnswer: -6153504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127.22 - -126.22. Suppose -2*r + 2*t = -5 + 527, -5*r = -4*t + 1304. Let d = r - -5462\/21. Which is the third biggest value? (a) d (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(8\/5)*z\/(z\/z**(1\/31))*(z**(-3\/7))**(-1\/35) assuming z is positive.\nAnswer: z**(2498\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2797\/9 + (-6)\/(-27). Suppose -2*k + h - y = -7*k, -3*h = -3*k + 201. Suppose 3*v - 62 = -5*i, 2*v - 3*i = -2*i + k. Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8*p. Let d = p - -5. Let l = 11 - d. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/13 + 186462*z**3\/13 - 745822*z**2\/13 + 559362*z\/13 = 0.\nAnswer: 0, 1, 3, 93227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -106, -47, 0, 29, 34, 9, -52?\n\"Answer: -h**3 + 66*h - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let d(q) = -q - 1. Let m(z) = 8*z + 6. Let f(w) = -6*d(w) - m(w). What is f(i(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0846 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11 - 28 + 18 - x**3. Let f(c) = 7*c**3 - 5. Suppose 3*a + 1 = -5, -4*i + 2*a + 24 = 0. Let n be (-2)\/(96\/(-60)) - (-2)\/(-8). What is i*k(p) + n*f(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 14031\nAnswer: 5612.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 410.9219 - 410.7. Let q = j + 0.0781. Let s be (-2 - -1)\/(15\/(-2)). Sort -4, -1, s, q.\nAnswer: -4, -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 221*v**2 + 16*v - 52. Let c be m(8). Suppose 9*t - 48609 = -c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a200 (base 14) to base 5\nAnswer: 1342312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 7. Suppose 207 = -t*g + 8*g. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = -r, n - 2 - 2 = 0. Suppose -3*u - d = -r*d - 43, 0 = -4*u - 2*d + 54. Calculate the remainder when 849\/(-566) - 159\/(-2) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183326 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 - 5*b + 9. Let w be s(-3). Let v(j) = j**3 - 17*j**2 + 27*j + 18. Let n be v(w). Are -105\/4 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -10*k - 11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 10\/4)\/(-4). Let j = 0.42 + -0.62. Which is the smallest value? (a) j (b) 0.3 (c) -3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 3. Does 10 divide ((-3)\/6)\/(s\/(-174))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 12) in base 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1628203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*l + 4*a - 12, 5*l = -5*a + 20. Solve -4*b = -2*h - 20, l = b - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 7680?\nAnswer: 38400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:05 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, o: 1, w: 2, t: 2}. Give prob of sequence ox.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a - 82. Suppose 2*k - 4*w + 16 = 0, k - 708*w = -711*w - 33. Determine l(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 433*g\/2 + 216.\nAnswer: (g + 1)*(g + 432)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 16 = -271*z + 270*z, 5*k = -5*z - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 267, 501, 797?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 37 = 4*c. Let a(o) = -o**3 + 12*o**2 + 12*o + 15. Let g be a(c). Solve 2*d - g = -4*v, -d = 3*v - 0*d - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 - -563. Let b = -191 + w. Which is greater: b or -1\/74?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -88613*y**2 + 2*y - 2. Let s be r(2). Let p = 2075456 + -1091006. Let n = p + s. What is n rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.1, -4, -1, -0.2, -230.\nAnswer: -230, -4, -1, -0.2, 0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172316 and 105876944.\nAnswer: 7492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*m - 20264015, 0 = -z + 3*z + 4*m - 8105612. What is z rounded to the nearest 10000?\nAnswer: 4050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + z - 15, -6*z + 25 = r - 2*z. What is the second derivative of -182*g**2 + 2*g**5 + 182*g**2 + r*g wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -1836. Suppose 5*q - c = -551 + l, 4*c = -q + 253. What is the remainder when ((-2)\/6)\/((-3)\/q) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -3 + 2*sqrt(200))*5)**2.\nAnswer: 18000*sqrt(2) + 180900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.42938 to two decimal places.\nAnswer: -2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Suppose -2*g = 8 - 18. Let p(a) = -g*a + 2*a + a. Calculate i(p(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 5\/4 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -41460174569954?\nAnswer: -41460174569958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1\/(-3)) + (-12 - -11). Suppose -o = 2 - 4. Let p(i) = -6*i**3 - 1 + i**3 - i**k - 3*i**3 + o*i. Give p(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/24*(-536)\/18 and -49\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18227, 72022, 161609, 286994, 448183, 645182?\nAnswer: 877997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22196, 88749, 199666, 354953, 554616, 798661, 1087094, 1419921?\n\"Answer: v**3 + 22176*v**2 + 18*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4507585475 rounded to three decimal places?\nAnswer: 0.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:07 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 7*n**4\/12 + n**3 + 5*n**2\/2 + 4*n. Let m be o(6). Put m, -3, -4 in descending order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113252 is divided by 211.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 10*w = 290. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884 or 886?\nAnswer: 884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 + -375.0000203. What is q rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 2*c**2 + 1879 - 1869)*(0*c + 2*c - 3*c - 1).\nAnswer: -2*c**3 - c**2 - 9*c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -16*v**3 - 25*v**2 - 6*v + 15. Let s(w) = 3*w**3 + 5*w**2 + w - 3. Let q(t) = 11*s(t) + 2*y(t). Determine q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-48))\/(17\/85*-5)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 42. Let m = 2.9 - n. Let s = 2.7 + -2.2. Which is the second biggest value? (a) 4 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**7\/35 + 3*c**4\/8 + 12*c**2. Find the second derivative of t(a) wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 65.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(640) + sqrt(168)\/sqrt(32))\/(sqrt(12)\/(sqrt(4) - (sqrt(1176) - sqrt(24))\/sqrt(6))*5).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 + -4.4. Let f be ((-6)\/45)\/((-2)\/(-6)). Let s(l) = -l**3 - 7*l**2 - 6*l + 1. Let d be s(-6). What is the nearest to q in f, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -7. Let r = -30.2 - n. What is r rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 4*k + 22*k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/7 - 3434*a**3\/7 - 1894750*a**2\/7 - 347498206*a\/7 - 3597756888\/7 = 0. Calculate a.\nAnswer: -804, -451, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-6)\/24 + 6\/(-8)). Is 1.1 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-11))\/q**(-9\/4)*(q*q\/(q*(q\/(q**(3\/11)*q))\/q)*q)**(-2\/11))**49 assuming q is positive.\nAnswer: q**(323841\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**4 - 9*v**3 + 84641*v**2 + 7*v - 50166.\nAnswer: -60*v**2 - 54*v + 169282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + 10176\/232)*(-7)\/(-70)*5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-32) + (-437)\/4. Let v = -73 - a. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155303 (base 8) to base 15\nAnswer: -118d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = -0. Let z be (-1)\/a + 33\/84. What is the smallest value in 3, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3768*j + 0 + 3768*j + 701425*j**3 - 701426*j**3 + 0 + 0.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + 1, -4*c = -3*w + 183. Let s = c - -50. Calculate the least common multiple of s and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let h be 28\/(-18)*9 - 670\/(-50). Sort 0.04, -1\/3, h, x in descending order.\nAnswer: 0.04, -1\/3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0843 times -3?\nAnswer: -3.2529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -157*v**6\/6 - 4*v**5\/5 - 68*v**3\/3 + 1396. Find the third derivative of h(w) wrt w.\nAnswer: -9420*w**2 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*f = -252*f - 238*f + 1254 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 367384797 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53895869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 314, 279, 220, 137?\n\"Answer: -12*b**2 + b + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3596 divided by 58\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -5.89 and -39.012 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, v: 4, s: 2, k: 1, i: 5, l: 3}. What is prob of picking 2 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4210262973.9999081 - -4210263162. Let w = -188 + n. What is w rounded to 6 decimal places?\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 times -0.1811\nAnswer: 0.0088739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698050693 plus 9947?\nAnswer: 2698060640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -f - 181. Suppose -7333 - 2603 = -f*q. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-16))\/((-3)\/20) and -127\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15253 is divided by 4700?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -666*x**2 - x**3 - 687*x**2 + 2*x + 1489*x**2 in the form w*x**2 + h + j*x + u*x**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 15642 = 188*q - 13*q for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/33)\/(10\/(-6)). Let a = -15\/4 - -9\/4. Sort a, p, 5\/2 in ascending order.\nAnswer: a, p, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-4))\/7*15\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -1020230322?\nAnswer: 1020230303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -35 (c) 0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 3*i = -0*c + 16, -4*c - 16 = -4*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 3400*p + 1455246. Let s(y) = -2*y**2 + 3403*y - 1455239. Let k(u) = -3*g(u) - 4*s(u). Suppose k(z) = 0. What is z?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5366 + 633237\/118. Calculate the common denominator of z and 29\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410695544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*g - 5*p, -2*g + 2*p + 4 = 6. Suppose r + 7 = -g*j, 0*r - j = 3*r + 31. Let u = 73 + r. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -20. Let d(k) = -k**3 + 12*k**2 - 20*k - 3. Let j be d(10). What is the third smallest value in j, -5, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -218. What is the third derivative of 92*q**3 - g*q**2 - 58995 + 58995 wrt q?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -93?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9*y = 0. Solve 4*a + a + 20 = y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.15814 take away 0.05?\nAnswer: 2.10814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 2}. Give prob of sequence ssh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9484, -18925, -28260, -37435, -46396, -55089?\nAnswer: -63460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Let m(q) = -q**3 - 6*q**2 - 2*q - 9. Let v be m(-6). Solve v*t - 3 = -y*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291 - 292. What is the closest to 2 in -9, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 + 1. Let l = 36 - 42. Let t = -73 + 49. Let g be t\/18*l\/(-4). Determine o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 140*v + 36. Is j(-32) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -44*o + 259 - 859 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 19. Suppose 0 = 3*j - 3*d - 18, -j - 3*d - 2 = -0*d. Suppose 0 = -k + j. Which is the closest to 2\/11? (a) k (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 + 4 - -5 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-7))\/(16\/(-672)). What is m rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*q + 23583 - 7203. Suppose 6*p + 377 - q = 0. Solve -3*y - 4 = -p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 1 (b) -83 (c) -8\/25 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 greater than -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3058525*t**2. Let s(q) = -30*q. What is s(m(v))?\nAnswer: 91755750*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 12 - (-606)\/54. Let d = 67 + -131\/2. Which is the closest to -0.1? (a) s (b) d (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107158 divided by 131.\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r**3 + r + 28. Let i(d) = -12*d**3 - d - 28. What is -6*i(y) - 5*v(y)?\nAnswer: 2*y**3 + y + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 5 (c) -0.3 (d) 2\/39 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55376 divided by -4?\nAnswer: 13844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2*h**2 - 43*h + 0 + 45*h to the form w*h**2 + q + k*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = 3*h - 43, 3*b + 36 = 4*h. Suppose -y + 3*s = -2*s - 56, 0 = 2*s + h. Suppose y = 3*c - 13. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 16, -5\/9, 16\/449, 1\/7 in descending order.\nAnswer: 16, 3\/2, 1\/7, 16\/449, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16010 is divided by 143?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 2*t + 7 + 6. Let i be p(-7). Let w be (-18)\/(-4)*i\/(-9). Put -2, 3, w in decreasing order.\nAnswer: 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z - 7. Let p be h(1). Suppose -3*m + 5*s = s, 4*s = p*m. Solve m = -5*f, 4 = -t + 4*f + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -182*w + 8620. Calculate the remainder when 380 is divided by v(47).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19289 = 1281*j + 2155 - 31544 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -2\/13 (c) 51 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 24\/5 - 76\/5*z**2 + 4\/5*z**4 - 12*z**3 + 4\/5*z + 8\/5*z**5 = 0.\nAnswer: -2, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -85*p - 855. Give i(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257328928*n**2 + 167528544*n wrt n?\nAnswer: 514657856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/18 + 24\/108. Which is the nearest to s? (a) -4 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -35848477.\nAnswer: -215090862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 11:04 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(200) - (1*sqrt(200))**2) + sqrt(200).\nAnswer: -196 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(48)*-3 + 3 + sqrt(48) - ((sqrt(432) - (sqrt(432) - (sqrt(432)*4 - sqrt(432))**2)*4) + sqrt(432) + (-1 + sqrt(432) + 2)**2).\nAnswer: -15980 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from {q: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70.4 - -70. Which is the fourth biggest value? (a) -4 (b) -4\/3 (c) 2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/35)\/(1\/15). Suppose -w + 4*w = 0. Let m = w - b. Solve -2*p + 0*p + 3*c = -2, -5*c + m = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x - 4*x**5 + 2*x**2 + 2362 + 12*x**3 - 2362 + 2*x**4 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = 0, 44*x = 39*x + 2*j - 11. Let u(p) = -2159*p**3 + 28*p + 29. Let m be u(x). Round m to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)*(1 - -40). Let i be s - (8\/2 + -5). Suppose -4*d = -i - 10. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 2*i - 74 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ee7d - 5?\nAnswer: -6ee83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 4*b + 6*b)*(14 - 4 + 7).\nAnswer: 51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 4*s**2 - 1\/2*s**3 - 9\/2*s.\nAnswer: -(s - 6)*(s - 3)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - x + 3*x)*(-3 + 3 + 1) + x + 0*x - 2*x + 166 + 5*x - 166 - 3*x + 7*x + 5*x + (-1 - 2 + 2)*(-x + 0*x + 2*x) + 0*x + 3*x - x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z**2 - 30*z**2 + 6*z**2)*(7*z - 18*z + 2*z).\nAnswer: 351*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:39 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 24. Let s be 83\/4 + 1\/4. What is the units digit of (-4)\/(-2 - s\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 - 0.14. Put l, 4, 0.2, -0.2 in increasing order.\nAnswer: -0.2, 0.2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - (2 + 5))*-53. Let j = 48 + s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**4\/12 + 2*x**3 + 3*x**2 + 3. Let g be f(4). Solve -n + 1 + g = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 2*s**4 - 8 - 961*s + 968*s - 37)*(-1 - 2*s + 1).\nAnswer: -4*s**5 - 14*s**2 - 128*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 5. Let f be s(5). Let q = f + -9\/2. Let x = 23\/6 + q. Is x at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 807*t - 804*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -356 at most as big as -354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -800 - -420.5. Let l = v + 380. Which is the closest to 1? (a) 1 (b) l (c) 5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -2 + -2 - (sqrt(153)*1*3)**2.\nAnswer: -1381 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 37. Solve 21 + 11 = -4*x - 4*u, -4*u = v*x + 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.7 and 8176?\nAnswer: 8177.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 2 + 5 - 2 - l**2. Determine c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/4 - 9*l**2 + 81*l\/4 - 21\/2 = 0. Calculate l.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33800 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11101011?\nAnswer: -11101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 0*b**2 + b**3 + b - b**2 to k*b**3 + t + x*b + q*b**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + q = 3*q + 9, 0 = -3*x + 2*q + 3. Suppose 30*h - 5*s = 25*h, 0 = -4*h - 3*s + 28. Which is the closest to x? (a) h (b) 3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 21 + 12 = 0. Suppose -4*v + 48 = -0. What is the remainder when s is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 11970*w + 7164045.\nAnswer: 5*(w - 1197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - ((-189)\/35 - (-2)\/5). Solve f = 3*q + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 - -559. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 less than 9972398282076?\nAnswer: 9972398282047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l + 1. Suppose -5*r + 13 + 22 = 0. Suppose 0 = -4*z - 3*c + r - 1, 4 = z + 2*c. What is p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/(-8) - (-4)\/(-16). Suppose l - 34 = -5*f, 5*l - 55 = -4*f - n. Suppose 53*p - 38*p + 49*p = 128. Solve -p*i = f, 2*i - 4*i = c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48023*b - 198*b**2 + 533*b**2 - 1033*b**2 - 48023*b.\nAnswer: -698*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 32*o + 99. Give w(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-11 + 18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1340 and 109\/6.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61, 85, 157, 301, 541, 901?\n\"Answer: 4*h**3 - 4*h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + -25 - -8) + (-4 - 13) - 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(-3*(-10)\/(-225))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + 3*j**3 + 3*j**3 - j**2 + j**3. Let c be a(-2). Let h be (-1)\/(-5) + (-236)\/c. What is the highest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -4. Calculate the highest common divisor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -956, -1127, -1312, -1511?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5964 and 0.34?\nAnswer: -2027.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from {b: 1, r: 3, j: 3, u: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*t + 25*t - 14*t in the form c + s*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 4*x - 5. Let r be i(4). Let d(v) = -8*v**2 + 59*v - 24. Let f be d(7). Sort 52, r, f in decreasing order.\nAnswer: 52, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158*k**2 + 574*k**2 + 582*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 17565 = 5*m - 10*m, -k + 14042 = 4*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n - p - 222 = -5*p, -23 = 5*n + 10*p - 6*p for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d**2 + d. Let u(s) = -2*s**2. Calculate u(x(l)).\nAnswer: -288*l**4 + 48*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 1, -848236 in increasing order.\nAnswer: -848236, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*a**3 + 4*a**2 + 939521*a - 75760986 wrt a?\nAnswer: 15*a**2 + 8*a + 939521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-30))\/(2\/(-3)). Let i = 0.2 - 0.1. What is the nearest to i in f, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10 - 0. Suppose 4*x - 5*b - 173 = 0, 18 = -p*x + 4*b + 106. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26533 - -45?\nAnswer: 26611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -127, -185, -239, -289, -335, -377?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366 - -704. Round d to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 5*w - 3 + w + 3 + (-1 + 1 + 2)*(3*w - 2*w - 6*w))*(0*w - w - 2*w) to c*w**2 + g + z*w and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/48 + 35*f**4\/6 + 84*f**2. Let i(z) be the second derivative of v(z). Let h(d) = 6*d. Determine h(i(o)).\nAnswer: -90*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/27*(-1)\/2. Is h > 4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53774 (base 8) in base 11?\nAnswer: 15a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*f - 0*f + 20, -30 = -5*f + 5*k. Let r = -10 + f. Let j = r - -4. Is j at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 12*p - 16. Let t be u(14). Calculate the common denominator of (-3)\/(-5)*231\/36 and (3\/t)\/((-63)\/518).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.32 times -0.03?\nAnswer: -0.1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9053303.\nAnswer: 7, 1293329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661030721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1097976 + 2239428 = 201*v. List the prime factors of v.\nAnswer: 2, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 5 - 10 + 16 + 67*b**2. What is the tens digit of r(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/399 and 103\/3876?\nAnswer: 27132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -2\/13 (c) -3\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 - 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:30 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 - (-43477 - 3) - -9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiitiiiiinn. Give prob of sequence iiii.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 96 - 37. Let f = -12 + j. Suppose -5 = -4*v + f. Calculate the highest common factor of 104 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 9. Is z(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6326\/5 - 1293. Which is greater: g or -28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 70 = -o, 3*o = -2*r + o + 44. Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4980 + 4980. Is n > -4\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 102 and -3498428729?\nAnswer: 3498428831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10775106 divided by -199539?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d. Suppose 0*l + 3*j = l + 3, l - 2*j + 2 = d. Suppose u + 2*g + 3*g - 25 = l, -2*u - 4*g + 38 = 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: What is the units digit of 171728598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3786\/7, 2\/13, -2\/27, 3, -4, -4\/7, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5203 * 8.\nAnswer: -41624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-5)**2 - (1 + sqrt(80)).\nAnswer: -4*sqrt(5) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33303*i**2 - 5 + 0 + 4 + 33353*i**2 + 1.\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002891 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**3\/6 + f**2\/2 - 40*f. What is t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -221. What is the highest common factor of k and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 - 12?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 2. Let u be f(-2). Let g = -73 - -75. Suppose y - 2*t - 7 = 0, -g*y + 2*t = -4*y + 2. Solve 5*v - y*k - 8 = u, -v - k + 1 = -7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-40) + 3\/(-5). Let q(a) = 5*a**2 + 2*a + 1. Let t be q(m). Suppose 5*b = -5*h + 3534 + 2886, -4*b = -t*h + 5144. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-38))\/(-2))\/(620\/(-310)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = -k, -k - 20 = -5*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/(11\/(385\/4)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.033 - 0.071. What is d rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265704 is divided by 104?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 > 9\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let o(d) = d**2 + 21*d - 28. Let r be o(-22). Sort -4, r, k in decreasing order.\nAnswer: k, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1 (c) -4.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + 0.46. Let q = -4.94 - -1.92. Let h = q + 0.02. What is the smallest value in c, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(5) - sqrt(24)) + (sqrt(48)*-3)\/sqrt(8))\/(((-1*sqrt(72) + sqrt(72) - sqrt(72))*2 - sqrt(72))*-5).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**(-2\/13))**(-30)\/((t**(-2\/3))**(-2\/15)*t**3*t**(-7)) assuming t is positive.\nAnswer: t**(2963\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 41*d = -3, -4*d = p - 2238. Suppose -p*u = -2235*u + 28. Calculate the highest common factor of u and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3768, 3, -1\/7 in ascending order.\nAnswer: -3768, -1\/7, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 11) in base 16?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tteteee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:56 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 14*n**2 - 14*n + 20. Let o be h(-15). Put o, 4, 0, -1 in descending order.\nAnswer: o, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 3*s. Let t be n(4). Suppose 3*w = 161 + t. Let p be w\/6*(-32)\/(-6). Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5825407 hours in weeks?\nAnswer: 0.0868008375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/930 and -36\/325.\nAnswer: 60450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31438 * -426.\nAnswer: -13392588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d - 7. Solve 0 = -2*o - 0 - d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Suppose 1 + 5 = o*m. Factor 6*z**2 - z**2 - 2*z**m.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249207 and 12936?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99332?\nAnswer: 2, 19, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002492666928 rounded to six decimal places?\nAnswer: -0.002493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/2 - 8064*f**3 + 493315*f**2 - 7277436*f - 15557629\/2 = 0. What is f?\nAnswer: -16189, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 4 + 4)*(-28*l - 25*l**2 + 28*l + (1 - l - 1)*(-2 - l + 2)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 11150656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125040 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 7*g + 21 = -3*g, 5*g = 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3399, -27307, -92253, -218757, -427339, -738519, -1172817?\n\"Answer: -3420*l**3 + l**2 + 29*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h**3 + 1 - 5)*(1 - 1 + 2).\nAnswer: 4*h**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4344 is divided by 107?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.5. Let t = -1.2 + w. Let j = t - -0.8. Which is the nearest to 1? (a) j (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1669 and -0.3.\nAnswer: 1668.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 76 = -0*w. What is the highest common divisor of 209 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 7 - 7 + (0 + 0 + n)*(-n + n - n) + 5*n**2 - 3*n**2 + 2*n**2 to s*n + k + a*n**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 134*y**2 + y + 1. List the prime factors of g(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 + 173. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10.2. Suppose 0 = 2*h - 4*a - 0 + 4, -18 = -5*h - 4*a. What is the nearest to -0.2 in m, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 4. Let u be m(0). Suppose 22 = u*g - 6. Let x(n) = -n + 10*n - g*n. Let c(t) = -5*t. What is x(c(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 - 943 = -3*z. What are the prime factors of z?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -5*n**2\/2 - 54*n - 25. Let r be x(-12). Solve -r = 3*z - 0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -28*b**3 + b**2 - 6*b - 4. List the prime factors of z(-3).\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*y - 3*y + 133, 3*l - 3*y - 69 = 0. Suppose q + l = -q. Let i = 44 + q. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 2. Which is the nearest to q? (a) 0 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34b7e (base 16) to base 9\nAnswer: 358176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.00791 - -28. Round o to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 + -13. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:41 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 794327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -637.22 times -0.17\nAnswer: 108.3274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-199*n - 616*n + 465*n)*(n + n - 4*n)*(n**2 - 3*n**2 - n**2) in the form t*n + l + g*n**4 + j*n**2 + u*n**3 and give g.\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 20. Solve -5*o + 1 = -a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-2))\/(42\/2499). What is the common denominator of m\/(-42)*(-36)\/128 and 49\/2?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 7:08 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8757 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2075*y + 1039*y + 3*y**2 - 8*y**2 + 11*y**2 + 15*y**2 + 1036*y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 40*x + 165 = 0. What is x?\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 + 2*b + 18. Determine c(-6).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33551, 33557, 33563, 33569, 33575?\n\"Answer: 6*k + 33545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3 - 71. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 687810656 - 687810706.0000167. Let p = f - -50. What is p rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**3*w**3 - 60*q**3*w**2 - 265*q*w**3 wrt q.\nAnswer: -36*q*w**3 - 360*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*b - 164*b = -630 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-54)*-3*33 + 14514\/1239.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 66*s**3 + 56*s**2 - 6564*s - 1758. Let c(u) = 14*u**3 + 12*u**2 - 1313*u - 352. Let m(l) = -14*c(l) + 3*q(l). Differentiate m(x) with respect to x.\nAnswer: 6*x**2 - 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 1030*t - 1029*t - 27, -5*n - 73 = -3*t. Let d(v) = -v - 4. Let o(c) = -1. Let p(y) = d(y) + 4*o(y). Determine p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l - 80 = -67*l. Let p(m) = -2*m**3 - 2*m + 1. What is the remainder when p(-3) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/5*k**2 - 12\/5*k**3 + 0 + 0*k - 9\/5*k**4 = 0. What is k?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4799742 and 710.\nAnswer: 23998710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43550, -87118, -130678, -174230?\nAnswer: -217774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -99*k - 135 - 358 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 72 = 7*k. Let t(f) = 7*f + 4*f - k*f. Let p(s) = 13*s**2. Determine t(p(n)).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19093623+-3\nAnswer: -19093626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/3*(-2300)\/18630.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -2?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 0.8405?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from evviv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 59*v**2 - 4*v - 1. Let p = -13 - -15. Let w be h(p). Suppose w - 1175 = -6*q. What are the prime factors of q?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3444*l - 37901. Give m(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/5 + 18*v**3\/5 - 8*v**2\/5 - 24*v\/5 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 26891908\nAnswer: -26891908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/2 - 7197*a - 51796809\/2 = 0?\nAnswer: -7197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 11. Let l(j) = 5*j - 55027. Calculate l(b(r)).\nAnswer: -5*r - 55082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 63, 135, 235, 363, 519?\n\"Answer: 14*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 b when four letters picked without replacement from qnnwqquwnbuwqunqwqub?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 21 = -z. Let m be (60\/z)\/(1\/((-14)\/2)). Suppose -5*j + m = 2*c, 12 = -3*c + 5*c - j. Solve c = -h + 4*k - 0, 3*h = -3*k - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.007, -1, -0.3, 2?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -283) + 216\/36. Which is bigger: 290 or d?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 3*k + 11. Let o be x(6). Suppose 3*q = -0*t + 3*t + 9, -2*q = 2*t - 22. Let b = o + q. Solve 2*j = -b*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/476)\/(((-28)\/245)\/(6\/15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 64*p\/3 + 3059.\nAnswer: -(p - 69)*(p + 133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13162932 by 16578.\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-17)\/34). Let l be 1*i\/(15\/(-545)). Let y = l + 199. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:09 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 + 5*m - 2. Let k = 9 - 5. Let o be h(k). Is 15 a factor of 662\/18 + o\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1 - 7*x**2 - 9*x - 2 - 2. Let b(l) = 4*l**2 + 5*l + 3. Suppose 3*t - 5*j = 22, 4*t + j - 41 = -4*j. Suppose -2*f = f - t. Calculate f*w(o) + 5*b(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - i**3 + i**3 + i**2 + 3*i**4 - i**2 + (4*i**2 - 4*i**2 + 2*i**2)*(-i**2 + 0*i**2 + 3*i**2) - 2*i**4 - i + i - 227*i**4 - 358*i**4 - 168*i**4.\nAnswer: -747*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 5660 (b) -1.9 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4 and 137\/350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 - 104*q - 16. Give u(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5567942 to 2 decimal places.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 1\/2*58. Let n = j + 40. Suppose 0 = -3*a - 0*a + n. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -1.2. Let x = 0.07 - -1.13. Let h = x - p. Which is greater: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-30))\/((-1)\/3). Let d = -27 - -41. What is the tens digit of (d\/l)\/((-4)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -836 - -3157. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1590548, 1590742, 1590936, 1591130?\nAnswer: 1591324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/45)\/(15\/(-18) - -1). Suppose j*l + 4*q - 514 = 0, 4*q = 5*l + 705 - 1990. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 42. Which is the closest to v? (a) -4 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 878 = -b - g, 347 = 2*b + g. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -132. Let k(p) = -2*p**3 + 15*p**2 + 6*p - 60. What are the prime factors of k(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4))**(12\/17)*(v*v**(12\/11))\/(v**11\/v))**(-49) assuming v is positive.\nAnswer: v**(91875\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/14 (b) -0.31 (c) 4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + u)*(-2*u**2 - 2*u**2 + 2*u**2 + (-2 + 2 + u)*(-3 - 3*u + 3)).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 30 = -7*p + 2*j, -2*j = p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-18)\/24 + 3)*(-45 - -41)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:21 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-56))\/((-6380)\/770 + 8).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 0*u**2 - u**2 + 2 - 1 - 4*u in the form g*u**2 + o*u + k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*s + 2*s = -2, 3*s = -3*y - 21. Let g be (-3)\/(-3) + -1 + 1. Put -1, g, y in decreasing order.\nAnswer: g, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 4*w**5\/5 + 7*w**4 + 8*w**3 - 64*w**2 - 128*w - 18. Factor a(r).\nAnswer: 4*(r - 2)*(r + 1)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10253636 + -3?\nAnswer: -10253641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5331072 divided by 83298?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2068\/16913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.0000236 - 46. What is d rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -68, -72?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 31. Let u = 31 - o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -4 (c) 94 (d) 25 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/8)\/(24\/17632)?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -145*x**2 - 35390*x - 2440 = 0?\nAnswer: -244, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 21240413203?\nAnswer: -21240413202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21)\/9 + (137228\/39)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -19. Suppose -4*x + 25 = t, -2*t - 2*x + 77 = -j*x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 z when four letters picked without replacement from ztztztzzzzztttzzzzt.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.197082 millilitres to litres.\nAnswer: 0.000197082","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 18. Suppose -17 = -5*x - 2, -4*x + 287 = 5*i. Calculate the remainder when i is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 + 4?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 63 = 83. What is the second biggest value in t, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 28907 = -2*n - 28883, 4*n + 15 = 3*n + 2*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18247.894 + 0.3.\nAnswer: -18247.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 4*n**2 + 5*n + 9. Determine a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - b**2 - b**2)*(2 + b - 2 + (-5 + 3 + 3)*(-4*b + 2*b + 0*b) - 5*b + 0*b + 2*b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 divided by 3?\nAnswer: 349\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:53 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/59 - 127\/531. Let i = 9 + -14. Which is the smallest value? (a) z (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2764\/171 or -17?\nAnswer: -2764\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1 (c) 2\/27 (d) -0.345 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 3 in decreasing order.\nAnswer: 3, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.207558ms in microseconds?\nAnswer: 3207.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99127, 99642, 101051, 103804, 108351, 115142, 124627?\n\"Answer: 75*v**3 - 3*v**2 - v + 99056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.51 - 44.38.\nAnswer: 14.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*y - 7*y**2 - 6*y**2 + 0*y**2 - 12*y**2 - 2 + 27*y**2.\nAnswer: 2*y**2 + 611*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40564 is divided by 2898?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -312 - 73*c + 381 - 3*c**2 + 0*c**2 + 19*c + 5*c**2 as n*c**2 + p + k*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3.1 (b) 0.2 (c) -1 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(2736) + -3).\nAnswer: -48*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8490 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: Let d(l) = 10*l. Let g(k) = 1. Let t(n) = n**2 + 2. Let i(j) = 2*g(j) - t(j). Determine d(i(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -129, -165, -35, 345, 1059, 2191, 3825, 6045?\n\"Answer: 14*k**3 - k**2 - 131*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78793, -157583, -236371, -315157, -393941?\n\"Answer: m**2 - 78793*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from yiy.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -54. Suppose 6*h - u = h. Suppose 12 = -g + 4*g + 5*p, -g + 4 = 2*p. Solve 3*c - 17 = g*n, h*n + 9 = -3*c - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 2376 = 2*x. Suppose 2*b - 96 = 4*o, 0 = -2*b + 4*o - 9*o + x. Let c = 35 - 21. What is the greatest common factor of b and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/4 - 2*t. Let r(c) = -2*c**2. Let u(g) = 5*f(g) + 8*r(g). Let y(k) = -11*k + 20*k - 11*k. What is y(u(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 595\/(-238) - 15\/10 - -46\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**5 - 96*c**3 - 128*c + 3 wrt c?\nAnswer: 380*c**3 - 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 - 2*w**2 - w - 4. Let d(h) = 10*h**3 + 4*h**2 + h + 9. Let g(k) = -3*d(k) - 7*x(k). Let u be g(-2). Sort u, 2, -2, 4.\nAnswer: -2, 2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 + -310. What is the closest to 1\/40 in -0.1, d, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1011?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28129760033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 2. Let r = -3 + n. Suppose -5*v + r*v = 76. Calculate the remainder when 73 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 5*n + 7. Calculate o(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4 and (-194)\/36 + 5 + -6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.5. Let n = y - 0.8. Which is the nearest to n? (a) 0.4 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -24. Let s(z) = 2*z**2 + 43*z - 660. Let b be s(-32). Solve 2*d - b = 2*q, -3*d = -4*q - 17 - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -5. Suppose c = -4*w - 14. Put w, 1, -2 in descending order.\nAnswer: 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0271369? (a) 2 (b) -2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/3898584 and 89\/3032232.\nAnswer: 27290088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/7 - 430*z**4 - 1127972*z**3\/7 + 3429176*z**2\/7 + 971152*z - 9096256\/7 = 0.\nAnswer: -754, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 380806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 5*y - 9*y + 5*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29016 and 597?\nAnswer: 5774184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1016?\nAnswer: 1\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3851396.\nAnswer: 2, 23, 41863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 11*y + 14. Give s(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 16960891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3671101 (base 11) to base 5\nAnswer: -3113304204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 7*y**2 - 9*y - 31. Is l(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9940 divided by 284\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -3. Let b(d) = d - 10. Let t be b(h). Sort -5, 5, t in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/22 + (-408)\/(-66). Suppose -4*l + 61 = -z, -3*l + z - o*z = -17. Suppose 2*k = 95 + 45. Calculate the highest common factor of l and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000728395 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1860 - 1859.9997657. What is z rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/281 (c) -1 (d) -2\/3 (e) 1 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023340 (base 5) to base 10.\nAnswer: -17345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + (-25 - (-8 - 10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - l)*(-1 + 0 + 2) - 2*l + 2*l - 2*l - 5*l - 3*l - 7*l - 2088*l + 1067*l + 791*l.\nAnswer: -248*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 8*l**2 - 32*l + 117. Calculate i(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164690363?\nAnswer: 1021, 161303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33161, 66287, 99413, 132539, 165665, 198791?\n\"Answer: 33126*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -297 - 58?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 95 - 94 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 - 1\/((3 - 4)\/1). Suppose -5*q + 5*p + 2 = -x, 4*q = 2*p + 14. Let s = 12 + -12.3. Which is the nearest to 0? (a) s (b) q (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3763.\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104452 and -1.8.\nAnswer: 188013.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.941 + -235.841. Let h = 3.48 - -216.52. Let m = h + i. Round m to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -54*r**3 + r**2 - 7*r. Let n be k(-3). Suppose 1 + 2 = u. Suppose -n = -u*j - 13*j. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 557*o - 35634. Calculate l(64).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 924*f - 920*f = 88. Solve 0 = f*i - 13*i + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/19121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 170. Let z = 1.2 - 0.2. Which is the smallest value? (a) z (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*s + 38, 54199*s + 42 = 54197*s + 4*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454, 1350, 3768, 8464, 16194, 27714, 43780?\nAnswer: 65148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(6890\/78))\/((-36)\/(-15))*-12*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.5 and -178.5.\nAnswer: 1160.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110110110001100111010 (base 2) to base 14.\nAnswer: 1106cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 101?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkxkx. Give prob of sequence kk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19*65\/2470)\/((-1)\/(-3)*-2). What is h in q*h**2 - 27\/4 + 0*h = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*c - 36 = 0, 0*c - 4*c - 34 = -3*i. Suppose -9*r + i = -4*r. Solve -2 = 4*y + r*a, 5*a - 2*a + 12 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 333*y**2 - 61 - 59*y**2.\nAnswer: 274*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0579224 rounded to three dps?\nAnswer: -4.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3 - 3. Suppose -5*w - 5*j - 11 = -3*w, -3*w = k*j + 3. Suppose -3*l + 2*s + 30 = w*l, 5*l - s = 25. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -255. Let n = 8 + -4. Suppose -k = -n*i + i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 25) + -1 + (-1 - 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 5. Let w = -0.52 - -0.62. Which is the third biggest value? (a) -2 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 10*s**2 + 0*s**2 + s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -553904482 + 553905472.003492. Let h = 990 - v. Round h to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (99077 - 6\/(-2)) + 2. Let l = p + -51082. Round l to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000125681693 rounded to 7 decimal places?\nAnswer: 0.0001257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 1. Give u(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*r - 4 = 0, 0 = -2*g + r + 4 - 3. Suppose g = 5*w - 3*w - 186. Is w a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 12. Let s(t) = 55*t + 130. Let h(f) = 65*i(f) - 6*s(f). Let j(a) = -a**2 + 0*a**2 - a**2. Determine j(h(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -17 + 22)\/((-2)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38191*f**3*r**2 - f**3*r - 3*f**3 + 3*f**2*r**2 + 97*f**2*r + 7232*r**2 wrt f?\nAnswer: -229146*r**2 - 6*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(171) - (-3 + sqrt(171) + 0)) + sqrt(171) + (sqrt(171) - 2*sqrt(171))*3)**2 + 0.\nAnswer: -36*sqrt(19) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 270915158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/798*-6)\/(52\/(-4732)*13)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8043764 or 8043763?\nAnswer: 8043764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 71, -5 in decreasing order.\nAnswer: 71, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, a: 2}. Give prob of picking 2 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*v - s, -111*s = -99*s - 60 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1165.99413 + -1166. Round w to four dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19374417 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Suppose -4*t - u*o - 61 = -304, -4*t + 3*o = -251. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/5, -2648\/17, 1, 2\/17 in descending order.\nAnswer: 1, 2\/17, -0.05, -1\/5, -2648\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i + 3. Let o = 0 + i. Solve w - o*w + 4*c + 16 = 0, -5*w + 22 = -c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*g - 74*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 4596\nAnswer: 29\/4596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 19629578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 43. Let u be a(0). Suppose -u = l - 2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 2*c**2 - 1. Let m be a(-1). Suppose -3*p = -10*p. Solve -m*x + 3*x = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2788 + 2786. Sort 3, 1, o, -5.\nAnswer: -5, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a1 + 0?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3376 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05356 take away -77?\nAnswer: 76.94644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-316)\/(-16) - 1\/(-4). Suppose -3*c = c - t. Suppose -4*l + 2*a + 80 = 0, c*l + 2*a - 3*a = 100. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, r: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -7, -71.35?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/((-99)\/(-55))*9. Solve -6*x + 17 = -9*x - 2*h, -5*x + c*h - 23 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -25. What are the prime factors of 18\/45 - 146\/j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 56 = -2*k, 13*i - 10*i = -8*k + 6 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3, -2*a - 875 = 3*m + 1069. Let f = 922 + m. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7217054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 104*n**2 + 486*n - 576. Let a(c) = -c**3 + 2*c**2 + c. Let m(z) = -6*a(z) + l(z). Factor m(w).\nAnswer: 4*(w - 1)*(w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -76?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 28*d**2 + 16*d + 364. What is t(-28)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638 - 2413 - 6645 = -421*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1554 divided by -425697\nAnswer: -518\/141899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**2 - 4*y**2 + 29*y**3 + 2 - 28*y**3.\nAnswer: y**3 + 13*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**3 - 3949*r**2 - 1456*r - 462901. Calculate v(-987).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.35513172 plus 0.0778?\nAnswer: 45.43293172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -160*i - 5604. Determine k(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l. Let p be f(1). Suppose g - 100 = -p*x - 4*g, -g = -5*x + 82. What is the remainder when 67 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g + g - 2*g)*(-6 + 3 + 5) + (3*g + 2*g - 4*g)*(-5 + 3 - 3))*(-13*g + 0*g + 20*g + 1).\nAnswer: -63*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2850*l**3 + 3*l + 2. Is x(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**8\/280 + b**5\/40 - 2*b**3\/3 - 3. Let s(x) be the third derivative of v(x). What is the second derivative of s(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3159 and 56121.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(272) - sqrt(204)\/(sqrt(60)\/sqrt(5) + sqrt(12) - sqrt(12)).\nAnswer: 1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 2. Let n(c) = -7*c**3 + 34*c**2 + 2*c - 6. Give -n(v) + 4*p(v).\nAnswer: -v**3 - 34*v**2 - 2*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42828 and 1494?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074911 rounded to 5 dps?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 25, 26, 19?\n\"Answer: -4*h**2 + 21*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - 11.5. Which is the second biggest value? (a) i (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569904755?\nAnswer: 3, 5, 1783, 58699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z - k = -22*z + 2*k - 3 - 24, -9*k = 99 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.11958 * -0.068\nAnswer: -0.00813144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 671963884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:14 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 - (-21 + 7 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.164 + 0.764. Round f to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/3 - 1\/3. Let g = -225 + 225. Solve -h - d - 2 = -3*d, g = l*h - 3*d + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*h**2 - 3)*(-319 - 42 + 3*h - 41 + 0*h) in the form s*h + x*h**2 + y + z*h**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1800)\/(-130) - (-8)\/52. Solve -4*z - s = -0*f + 3*f, 0 = -5*f - 5*z - 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 28*r + 25 = -26*r, 2 = 4*w - 2*r. Calculate the lowest common multiple of 25 and w.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (109 + 2 + 13)) + -17 + 30 + -4\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 1, y: 1, d: 5, j: 4, r: 2}. Give prob of picking 2 n, 1 q, and 1 r.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -4 - (33 + 10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111233327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 7. Let j(g) = 2*g + 14. Let l(n) = -2*j(n) + 5*z(n). What is the units digit of l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.0696 + -0.06\nAnswer: 15.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 1. Let w be z(-1). Let r = -0.9 + 1. Which is the third biggest value? (a) 0.2 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -48, -17\/43, 4, -2\/7, -1.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/3)*n)*n)\/n*n**(-20))**(-1\/20) assuming n is positive.\nAnswer: n**(59\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/8)\/(-7))\/((-351)\/(-104))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*g - 2)*(1 + 1 - 4) + 4*g + 0*g + 21 - 11.\nAnswer: 8*g + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**2*p**2*q**2 + 2*i**2 - 8*i*p**2*q**2 + 2*p*q**2 + 2*p*q wrt p.\nAnswer: 12*i**2*q**2 - 16*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 11. Determine y(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:20 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1310 - -1310. Solve 3*m = -2*j + 1 + 2, -4*j + 2*m - 2 = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276982 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 2*j = 22, -5*a + 40 = -2*j. Let c(m) = 25*m - 33. Is 2 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002006089575 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 65 = -3*w. Let r(i) = -i**3 + 16*i**2 - 33*i + 20. Let t be r(14). Let m = w - t. What is the least common multiple of m and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110011111110101 (base 2) to base 10.\nAnswer: -485365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 43. Let z(f) = 1 - 4*f**2 + 5*f**2 + 3*f + f. Let t be z(-5). Solve 5*i - 2*i + t = p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*z. Suppose -z*h = 3*s - 22, -4*h - 4*s = -6*h + 22. Let q(g) = g**3 - 7*g**2 + g + 4. Give q(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/16 and 41\/50304.\nAnswer: 50304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 6*i**3 + 20*i**3 - 10*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*u + 5*j - 2, 0 = -2*u - 4*j - 6. Let m(t) = 2*t - 9. Let q be m(4). Is q < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 19, 8, -19, -68?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17563189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 36*f - 77. Let s be 3\/2*(-112)\/42. Let c be w(s). Which is bigger: -219 or c?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*s + 16408, 0*s + s = -4*r + 16414. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 - 92*t - 25. What is u(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5787*i + 6650 = 5717*i for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -13*r + 183. Suppose 13*g = 2245 - r. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*w - 12245 = -20264 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 594 divided by 66\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 + (-24)\/96*-4. What is the second biggest value in 2\/3, k, 125?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5*y**2 + y - 10. Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48132*u - 1 + 136*u**2 - 2*u**3 + 48132*u + 1.\nAnswer: -2*u**3 + 136*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995416889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*208\/(-13). Solve r - n + 32 = -5*l, -l - r = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o - a, -2*o + 12 = -3*a - 6. Suppose 0 = -0*c + c - o. Solve 2*s**2 + 0*s**2 - 2*s - 2*s**4 + s**c + s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60177 is divided by 847.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 32598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1519.41366ms?\nAnswer: 0.00001758580625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -41819?\nAnswer: -41819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 3*s**2\/2 - 1047. Let h(i) = 3*i - 14. Determine h(f(z)).\nAnswer: 9*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/7 - 12*m**3\/7 + 36*m**2\/7.\nAnswer: -3*m**2*(m - 2)*(m + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*x - 2*m + 8, -4*m = x - 22. Solve -1\/8*f**x + 0*f + 0 + 1\/8*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((-6)\/8 + 15636354\/(-456)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -35*t**2 + 36*t**2 - 7*t - 5*t + 16. Let n be g(12). Suppose 0*o + o - 128 = 0. Calculate the highest common divisor of o and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and -125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22501 + -2?\nAnswer: 22488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 694748746.097914 and -0.2.\nAnswer: 694748745.897914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Suppose -2 = 5*c + 18. Let p(l) = 6*l**2 - 5. Let r(n) = n**2 - 1. Let j(t) = c*p(t) + 20*r(t). What is j(w(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 - -3. Let x = c + -0.6. What is the smallest value in 2, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 17*z**7\/70 - z**6\/120 + 129*z**5\/20 - 109*z**2. Find the third derivative of j(o) wrt o.\nAnswer: 1224*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -590 + 588. Let q be 4\/(-2) - (3 - 6). Let v be (49 - (q - 3))*z\/(-3). Calculate the greatest common factor of v and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/48*-2*-9*88\/(-1287).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + -5 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let d(u) = u**3 + 16*u - 6. Let i(g) = -d(g) - 6*n(g). Let b(w) be the second derivative of i(w). Is 5 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 * -8.9854.\nAnswer: -988.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4220901 minutes to milliseconds.\nAnswer: 25325.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*h = -1, 3*d - h = -2*h + 5. Suppose -l + 96 = -6*g, -423*l - 246 = -425*l + 3*g. Calculate the least common multiple of d and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10219917 take away 569062?\nAnswer: -10788979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:59 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.118553 centimeters to nanometers.\nAnswer: 81185530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276 divided by 2?\nAnswer: 4138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f**2. Let u(k) = -2*k. Calculate l(u(t)).\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/6 + 38*c**3\/9 + 8*c**2 + 39*c. Find p such that q(p) = 0.\nAnswer: -12, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*k + 44 = 175*k. Solve 6 = -0*y + 3*y, 4*q = -3*y + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 24. Let n(i) = -12 - 43*i + 19*i + 15*i + 10*i. Let m(g) = -5*n(g) + 2*x(g). Determine m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.013, 6, -28?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**2 + 1\/40*s**5 - 2*s - 1\/12*s**3 - 1\/24*s**4 - 7 + 1\/60*s**6. Find c, given that o(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1) + 6*-3. Let g be l\/(-4)*6\/(-9). Is ((-94)\/(-4))\/(g\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 8 - -7 - 20 - (19 - 85).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10875 > -2201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -346*k - 6944 + 1408 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -25339*w. Let n(k) = -2*k. Determine n(v(q)).\nAnswer: 50678*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/200037947 and -61\/35483?\nAnswer: 1400265629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 + 0*m**2 - 7*m**2 + 0*m**2. Let u(b) = -3*b**2 - 2*b**2 + 3*b**2. What is u(x(l))?\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d72b (base 16) to base 9.\nAnswer: -423226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391071?\nAnswer: 3, 67, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -4651279.18642.\nAnswer: 4651279.18642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -7. Sort 7, -4, 4, f in decreasing order.\nAnswer: 7, 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399493 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - 4*t = -3387, -12 = -4*t. Let z = -431 + p. What is z rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/36881 + -1955365\/8261344. Let j = -538389\/154 - -24470\/7. Calculate the common denominator of d and j.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/181578 and 14\/25387?\nAnswer: 86975862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001314 rounded to 5 decimal places?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17 - 2*f**3 + 21 - 13 + 25*f - 3*f - 5*f**2. What is the units digit of l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-114)*-6 - ((-96)\/7 + 5).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from hehyyyvyyfyoyyvvo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62006474177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 0, -4*b - r + 10 = -2*b. Solve -3*c - 5*n = -b*c - 13, 2*n = -4*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/9 - (5716\/(-12) - 5)?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3) + 0 - 22. Let x = -14 - u. Is (609\/(-28))\/((-3)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9127037 and -0.02?\nAnswer: 182540.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226\/5*i**2 + 431\/5*i**3 + 37\/5*i - 468\/5*i**5 + 228\/5*i**4 - 2\/5 = 0 for i.\nAnswer: -1, 2\/13, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416308*d**2 - 416308*d**2 + 832607*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 11, u: 4, f: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 5*g + 4*g)*(-9 - 8 - 1) - 41 + 20 + 29*g + 19.\nAnswer: 47*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + (-6 - (-9 + 4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*z + 609*z = 705. Let t = z - -469. Calculate the remainder when t is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134184.771 hours in weeks?\nAnswer: 798.718875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 3, y: 1, x: 8, h: 4}. What is prob of sequence hhh?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 698379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 2. Let m(d) = -11*d - 3. Determine 4*m(f) - 7*z(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18906*s + 27 = -2*p + 18901*s, 3*p + 13 = -2*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0*u + u - 19 + 30. Let o be y(-11). Suppose o*s - f + 156 = 2*s, 0 = -3*s + 2*f + 241. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9561 divided by -27\nAnswer: -3187\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4557 - -4525. Which is the closest to 0.2? (a) 4 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b**3 + 37*b + 13. Let t(f) = 120*f + 94. Let r be t(-1). Let v(k) = -4*k**3 - 9*k - 3. What is r*v(w) - 6*x(w)?\nAnswer: 2*w**3 + 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(1\/2)\/i*i)\/i))\/i**(-33))\/((i**(-2\/9)\/i*i)\/(i\/(i**(21\/5)\/i))) assuming i is positive.\nAnswer: i**(2927\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/12 + 2*n**3\/3 + 2*n. Let l(g) = 3*g + g + g + g**2. Let z(b) = 4*l(b) - 5*o(b). Let i(h) = 3*h. Determine z(i(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -101011001011011000001 (base 2) to base 10\nAnswer: -1414849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 534 + 190 = 0. Let a = -72 + r. Let t = -24 - a. Solve -2*u + t*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + 2?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {z: 1, s: 1, p: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2342*b - 11622. What is k(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 - 155. Let o = -27.00059 + t. What is o rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11591 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -239.4 and 1.465.\nAnswer: -350.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 735689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10518996?\nAnswer: 2, 3, 29, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*q - 27, -2*q + 4 = t + 7. Let k(l) be the third derivative of -5\/6*l**3 - 1\/24*l**4 + 0*l + 0 + t*l**2. Differentiate k(h) with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*5\/(-5))\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (sqrt(1539) + -6*(sqrt(1539)*4 - sqrt(1539)))**2 + sqrt(1539) + sqrt(1539) + -4*(2 + sqrt(114)\/sqrt(6)).\nAnswer: 14*sqrt(19) + 444757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5836 + 81737\/14. What is the smallest value in s, -1\/5, 4, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1006192729 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + 0 + -2 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403012 (base 6) to base 2.\nAnswer: 111110000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -89 (c) -0.002 (d) -2 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {s: 6, j: 9, m: 4}.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4. Suppose -161 + 151 = -10*j. Let u(r) = -r + 34. Let z(k) = j*u(k) + 6*i(k). Calculate z(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-2681225\nAnswer: -241310.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 9:25 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28697402231 - 28697402381.00000313. Let w = d - -150. What is w rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/4)\/((-700)\/(-56)))\/((-32)\/(-20)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 106*n - 2920.\nAnswer: 2*(n - 73)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716.05 - 716. Which is the closest to -1\/2? (a) w (b) 1\/3 (c) -2\/9 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*d = 6*d + 47, 0 = 4*d + 20. What is the remainder when 479 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 7*f**3 + 9*f**3)*(9*f**2 + 2*f**2 - 4*f**2)*(-10 - 5 + 0).\nAnswer: -525*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86220, -86320, -86420, -86520, -86620?\nAnswer: -86720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -165 and -2.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 137520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -61, 1\/2047, -6, -2\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.4. Let w = r - -0.1. Let p = 78 + -233\/3. Which is the second biggest value? (a) 5 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24292795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 + -20 + (0 - -3) + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*r + 2*m, 3*m - 2942 = -2933 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506993022 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3+9.71\nAnswer: 12.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(272)*-1 + 0 + sqrt(272)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/15)\/(2*21\/30). Let x = p + -201\/56. What is the common denominator of -85\/76 and x?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1845113 years to decades.\nAnswer: 0.01845113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 - 15 = 0. Let z(l) = -3*l - 2. Suppose 4 = 4*t - 6*t. Let u(d) = -4*d - 3. Determine q*z(s) + t*u(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7848327243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2115509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247450726.\nAnswer: 2, 31, 43, 107, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 13522*a - 2 = 13521*a, -41*f - 36 = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 212*q + 212*q)*(-5*q**2 + 3*q**2 + q**2) + (-2*q**3 - q**3 + q**3)*(-4*q + 4*q - 2*q) + 0*q**2 + 0*q**2 + 4*q**4.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6258*v**2. Let f(j) = -j. What is f(i(n))?\nAnswer: 6258*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7032 is divided by 2200.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 + -33. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4 + 16*n**3 - 36*n**2 + 54 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 865\nAnswer: 52765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 26 = 3*r, -5*j + 120 = -0*r + 5*r. Suppose -f = -3*f + 6. Factor -17*x**3 - j*x**3 + 8*x**f + 48*x**2 - 18*x + 1 + 1.\nAnswer: -2*(x - 1)*(4*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130572, 130550, 130506, 130434, 130328?\nAnswer: 130182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 9. Let f(a) = 72*a**2 - 11*a - 8. Let l(h) = 24*h**2 - 4*h - 3. Let s(k) = 3*f(k) - 8*l(k). What is the remainder when s(-1) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -16 + 24 + -40.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2297874762 divided by 6?\nAnswer: -382979127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 + -3.39. Let i = -44.17 + 1.17. Let h = 46 + i. Which is the second biggest value? (a) l (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/119159 and -11\/6?\nAnswer: 714954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(18)\/sqrt(3)))\/(sqrt(18)\/sqrt(2)*-2) + 0)*-4.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41194a (base 11) in base 14?\nAnswer: -133011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + (-4)\/(-8). Let k(m) = -m**3 - 11*m**2 - 9*m + 12. Let x be k(-10). Suppose -x*y + 6 + 0 = p. Solve c - 12 = -y*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 727 = 5*d, 3*d - 417 = -0*d - 4*l. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**2 + 2*x + 1. What is i(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1457 + 2598. What are the prime factors of a?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1780, 3546, 5326, 7126, 8952?\n\"Answer: g**3 + g**2 + 1756*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 4986860*o**3 + 1657909865790*o**2 - 183723492240891820*o - 918658909574464475.\nAnswer: 5*(o - 332459)**3*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.3 (c) -7651 (d) -2\/33 (e) 1\/2 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -6)*1\/2. List the prime factors of -95*(17\/(-5) - s).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740452 is divided by 740218.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 4 (c) -0.0012 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 59118579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/(y*y**(-1\/5)*y))))**24)**(23\/3))**(-1\/36) assuming y is positive.\nAnswer: y**(184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63.97009 years?\nAnswer: 0.06397009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 485 = 2*s, -4*s + 0*m + 973 = m. Let c = 141 - s. Let x = c + 274. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334816.2 tonnes in micrograms?\nAnswer: 334816200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + y**2 + 3 - 2*y**3 + y**2 - 5*y + y**3. Let c be n(3). What is the first derivative of -2 + 0 + c - 4*m**4 + 0 wrt m?\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5 + 965*p**4 + 15455*p**3 + 88335*p**2 + 214920*p + 190080 = 0.\nAnswer: -176, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*q**2 + q - 3*q + 50*q**2)*(3 - 5 + 3)*(2*q + 2*q - 6*q).\nAnswer: 8*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115875605?\nAnswer: 5, 23175121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -507*d**8\/784 + 299*d**7\/49 - 433*d**6\/21 + 172*d**5\/7 + 50*d**4\/7 + 16*d**3\/21 - 749*d**2. Solve b(r) = 0.\nAnswer: -2\/39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -175? (a) -5 (b) 0.3 (c) -19 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 797\/1 - (13 - 11). Let v = r - 781. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 + 0.86. Let r = -2.3 - b. Let x = 13 + -38\/3. What is the nearest to x in 5, r, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -62, -82, -110?\n\"Answer: -4*z**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13890 is divided by 1982.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3\/5*x**5 + 0*x**4 + 1 + 0*x**3 + 5\/2*x**2 + 0*x. What is the second derivative of n(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4\/7, -4, -0.5, -3\/4 in increasing order.\nAnswer: -4, -3\/4, -4\/7, -0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-45 + -57 + 51 + 126)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 7 - 5 + 25)*(-1 + 1 - 4*z) as x*z + d and give x.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1610923 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -22. Suppose u - g = 28. Suppose 10*l + 4*l - u = 0. Solve 16 = j + 4*i, -2*j - 2*i + l*i - 20 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3558 and 8\/87.\nAnswer: 103182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18))\/((-235)\/(-846)*(-8)\/(-60))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74472 and 4922?\nAnswer: 1712856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrrrrtxxgtrgxxrxrr. Give prob of picking 2 x and 1 t.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*g - 1543*g + 2 = -5*p, 2*g - 2*p = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = w - 4, z + 74*w = 73*w + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 5*x - x + 1 - 1 + x + (0*x - 2*x + 3*x)*(3 - 1 - 1).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 + (-6)\/3)\/(4 + 2). Let i(m) be the first derivative of -6*m - g*m**3 + 8 + 0*m**2. What is the first derivative of i(c) wrt c?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -70. Factor -192*m - 101*m**2 + 64 + 98*m**n - 139*m**2 + 324*m**2.\nAnswer: 2*(m + 2)*(7*m - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16131 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 + f**3 + f**3)*(37 + 173*f - 87*f - 87*f).\nAnswer: -5*f**4 + 185*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277 or -9599?\nAnswer: -9599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3024 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**4 - 2*i**4 + i**4 + (3*i**4 - i**4 + 0*i**4)*(2 + 4 - 4) - i**4 + 0 + 0 to c*i**3 + d*i**2 + q*i**4 + s + b*i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.4, -0.6, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 25. Let y(c) = -3*c + 26. What is -3*p(v) - 2*y(v)?\nAnswer: -3*v + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/18 + (-705)\/1410\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let h be (0\/(-2) - -1)*3. Let i = o + h. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in 0.2, -1, -529, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 + 204\/48*-4. Let v = -111 + 337\/3. What is the nearest to 1 in v, o, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a**(-17))**(-9) assuming a is positive.\nAnswer: a**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -473 - -56?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554996.\nAnswer: 2, 13, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54544, 218167, 490858, 872611, 1363420, 1963279, 2672182, 3490123?\n\"Answer: -q**3 + 54540*q**2 + 10*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 10*h)*(2*h**3 + 4*h**3 - 5*h**3) + h**4 + h**4 - 3*h**4 - h**4 + 95 + 2*h**3 - 2*h - 95.\nAnswer: 9*h**4 + 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfkffktlfkkxfl. Give prob of picking 1 f and 2 x.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*u. Determine z, given that 17 - 1 + u + z**2 + 9 - 10*z = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75281 + -526125\/7. Let b = 13983\/112 - w. Find the common denominator of b and -1 + (2 - (-69)\/(-20)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 727.3 - 727. Let d = -29\/33 - -6\/11. Which is the closest to i? (a) d (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2304\/13, 2, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/723240 and 107\/17640.\nAnswer: 723240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*d - 740, 784*a - 4*d + 390 = 786*a. Calculate the least common multiple of 179 and a.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 7 - 27 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*w + 11. Let b be (6 + -1)*w\/(-10) - 3. Let s = 75 + -72. Solve -s*u = p + 18, 2*p + u - 19 = b*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-3*5 - sqrt(117))\/(sqrt(18)\/(sqrt(6)\/sqrt(3)) + sqrt(9)))**2 - (sqrt(624)\/(sqrt(12)*3))\/(-3*sqrt(144)).\nAnswer: sqrt(13)\/54 + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5498\/7 or 1.4?\nAnswer: -5498\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221.1 - -7652508?\nAnswer: 7651286.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160321200 and 283800?\nAnswer: 1763533200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let y = 0 - -1. Let v = y - 2. Put i, v, 3\/2 in ascending order.\nAnswer: v, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/39 + 677\/(-3). Let y = -229 - m. Let p(c) = c**2 + c - 5. Let f(t) = t**2 + t - 6. Let a(g) = -2*f(g) + 3*p(g). Determine a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v**(5\/9))**(-20)\/((v**(-1\/25)\/v)\/(v*v\/v**(2\/5)))**(-33\/2) assuming v is positive.\nAnswer: v**(19199\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/60 - 9*t**5\/40 + 17*t**4\/24 + 3*t**3\/4 - 9*t**2\/2 + 10*t + 287. Determine d, given that c(d) = 0.\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/31, -0.5, -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -395*u**2 - 151282*u + 1146. Calculate i(-383).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + (-7 - (10 - 13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 3*a**2\/2 + 5*a\/4.\nAnswer: a*(a - 5)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3872885389 to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 0.1 (c) 47.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-116)\/6 - 7\/(-21). Let u = 21 + p. What is the smallest common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + -71. What is the smallest common multiple of ((-8)\/10)\/(4\/(-60)) and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000192 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 16 = -32 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u + 9. Let n = -3.9 - -4. Which is the smallest value? (a) -2 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1303410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*r - 475 - 1520. What is the biggest value in -1\/5, -5\/4, r, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.321 in -255, 4, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f + 5 + 2*f**3 + 5 + 9*f**2 - f**3. Let y = 2818 - 2826. What is g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + -51. Let a = c + 93. Let o = 0.06 - -0.24. Sort o, -1\/4, a in decreasing order.\nAnswer: o, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 465923139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(161\/281) - (-36)\/16*64\/12.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 2*w**5 + 0*w + w**5 + 0*w**5 + 0*w**5 + (-w + w - w**5)*(-1 + 6 - 3) + 0*w**4 + 0*w**4 - 2*w**5 - 309629 + 309629 - 474*w**5.\nAnswer: -475*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 668339.3 centuries in years?\nAnswer: 66833930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 13 (c) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5476.7365 and 4?\nAnswer: -21906.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 520*x**2 + 4042*x - 2530. Give f(252).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3182.6449 - 3183. Let q = -468 - -467.64. Let a = q - x. Round a to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48751718?\nAnswer: 2, 37, 658807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1 + 2 - 2*t - 4. Let g(w) = -2*w - 1. Suppose -3*z - h + 8 + 16 = 0, 5*z - 5*h - 20 = 0. Suppose z*q + 45 = 16*q. What is q*g(c) - 6*s(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o**2 - 2*o - 3. Let u(r) = -r**3 + 5*r**2 - r + 2. Let f = 0 + 5. Let k be u(f). Let i be s(k). Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 26. Let v(o) = -o - 27. Let z(d) = -6*u(d) - 7*v(d). Let k be z(-28). Sort k, -0.1, 9 in increasing order.\nAnswer: -0.1, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhiiihuuinunhhunhi. What is prob of picking 2 u?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 180159 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2484 and 46736?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 86*r - 854. What is b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15150.7008 rounded to the nearest one hundred?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(1960\/(-42)) + (-4)\/(-16)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.3057 + 0.0057. Let m = -60 - g. Let v be -1*1 - 1\/(-4). Which is the closest to 0.2? (a) -4 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*b = -964 - 636. Let j(h) be the second derivative of 4\/3*h**b + 0 + 0*h**3 - 6\/5*h**5 + 0*h**2 - 13*h. What is the third derivative of j(v) wrt v?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + sqrt(68)\/sqrt(4))**2 + -4 + (sqrt(833) - sqrt(833)*-1) + 0 - ((sqrt(102)*-1*-6 + sqrt(102))\/sqrt(6) - sqrt(204)\/(sqrt(60)\/sqrt(20))).\nAnswer: -7*sqrt(17) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + 9. Let w(b) = -13*b**3 - 2*b**2 + 1. What is the remainder when d is divided by w(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004199708 to five dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 232 - 232 - 2*g in the form a + x*g + i*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**6\/6 + 5*x**4\/6 - 5*x**2\/2 + 6*x. Factor w(r).\nAnswer: -5*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*z + 325, -f - f + 4*z = -290. List the prime factors of f.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234 - -441400234?\nAnswer: 441401023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 41*j - 164539. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -21. Find the common denominator of 71\/22 and 1\/t*(-1170)\/(-80).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -5) + -31 + 18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1867 divide 4575584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*g**3 - 730*g + 730*g.\nAnswer: 626*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2042 + -1631. Is 2 + d\/(-4) + (-10)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 - 17*r - 3. Let l be i(6). Let n(a) = 16*a - 5. Let h be n(5). Suppose 87 = l*q - h. Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 25 = -4*y, 0 = -4*x + 64*y - 59*y + 29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -300*a**3 - 218*a**3 - 259*a**3 + (a**3 + 1 - 1)*(2 - 2 - 2) - 2*a**2 + 2*a**2 - 2*a**3 + 3*a**3 + 3*a**3 - 5*a**3.\nAnswer: -780*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(((-4)\/(-10))\/2). Suppose 40*z = -42*z + 88*z. Suppose z = 40*t - 212 + 52. Solve -4*k - h = o, 5*o + 18 = -t*k - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 16459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1290*k**3 - 35*k**2 - 35*k - 15. Let s(p) = 76*p**3 - 2*p**2 - 2*p - 1. Calculate -2*f(w) + 35*s(w).\nAnswer: 80*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 236*n - 35*n + 14*n - 7077155. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001447673 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42635671597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 35.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985*k = 988*k. Suppose -432 = -k*p + 2*p. Is -216 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssscssscisssssiccccc. What is prob of picking 2 i and 1 s?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 158*t. Let f(j) = -9*j**2. Calculate n(f(s)).\nAnswer: -162*s**4 - 1422*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2 + 10576404*r + 13982540196402 = 0.\nAnswer: -2644101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 + 7*s**3\/3 + 35*s**2\/6 - 25*s\/3.\nAnswer: s*(s - 1)*(s + 5)*(s + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (11 + (0 - 22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 2043 = -1149*g + 1144*g, 2*z = -128 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - s**2 - 3*s**4 - 2*s + s**2 + 4*s**4 as m*s**4 + v + d*s**3 + i*s + f*s**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 672574 times 1?\nAnswer: 672574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 + 143*q**2 + 210*q - 79. Does 78 divide x(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20266960 divided by -1013348.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 14*j**2 + 4*j - 7. Calculate z(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/146 and -1\/8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -14. Let k = 5.99999999 + d. Round k to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*z + 326*z - 123 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) 2 (c) -0.06 (d) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 20. Let u be q(11). Solve u*a + 3*y - 5 = a, 3*y = 3*a - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -69*n - 2*n**2 + 14*n**2 - n**2 - n**2 + 444 - 454. Give j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(4 - 3 + 3)*(-1 + 4 - 2)*(z - 4*z**3 - z) to b + u*z**2 + l*z**3 + f*z and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2044 and 65\/239732?\nAnswer: 1678124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znuazuuuu. What is prob of sequence uz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q**(-4))\/(q**(-2\/3)*q)**(-7) assuming q is positive.\nAnswer: q**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -a - 9, 2*a = j - 3*a - 23. Let r = j + 7. What is the remainder when 18 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - d + 2 = d, -4*d = -4*x + 20. Is (-234)\/3*(-2)\/x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379260 and 1350090?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.4958 + -165906.4958. Let s = g - -165769.9943. Let l = s + 111. Round l to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21147)\/2014*4\/238.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdt when three letters picked without replacement from ditttkvvktktkvit?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u - 1. Let q be f(-1). Suppose m + 3*y + q = 0, 0 = 3*m + m - 2*y - 38. Let z(p) = p - 6*p + 4*p + 16 - 10. Determine z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 53823.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0 (b) -1 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*v - 3*h, -4*h - 1 = -v - 8. Let p be 2*3\/v - 426\/(-15). Is (-17715)\/(-7) + 120\/p + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42)*6\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 11*w + 14. Let f be c(7). Let t(r) = r**3 + 6*r**2 - 7*r + 4. Determine t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) -13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -826, -3286, -7386, -13126, -20506, -29526, -40186?\nAnswer: -52486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 995928 rounded to the nearest 10000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqc when three letters picked without replacement from {v: 3, w: 3, c: 6, a: 4, q: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, -9.2, -1, 1 in increasing order.\nAnswer: -9.2, -1, 0, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 569.02 + -567. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 49*d**5\/20 - 3*d**3\/2 - 2*d**2 + 93*d - 6. Let b(p) = 12*p**3 - 2*p - 1. Give -9*b(w) + 2*y(w).\nAnswer: -10*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 37. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 2, j: 2, g: 3}. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.24117 and 0.8.\nAnswer: -1.792936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -573 + 7656. Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 90. Let v(s) = -2*s - 10. What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 4*a, 0 = 2*a + a + 4*p - 8. Let v = a + 6. Let l(o) = o**v - 5*o + 2 + 3 - 7 + 1. Give l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(168\/60)\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*d + 5 + 4, -2*l + 6 = 2*d. What is the lowest common multiple of 16 and (l - -20) + (-4)\/4?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2721888 and 242541?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 4. Let n = 1\/744 - -12461\/744. Find the common denominator of 10\/g*312\/128 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/6)\/1)\/(5\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1264625 - -3?\nAnswer: 1264631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13725*t**3 + 6875*t**3 + 6852*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178.300002168 - -178.3. Round b to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 32 = d. Suppose 3*x + a + 2*a = 48, x - 3*a = 16. Suppose 0 = 4*q - x. What is the smallest common multiple of d and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3903558.89 and -3.2?\nAnswer: 3903562.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 912*y**3 - 2*y**2 + 26*y + 27. Let g be m(-1). Let x = -437 - g. List the prime factors of x.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212303332 (base 4) in base 3?\nAnswer: 22002001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 22105.\nAnswer: 22105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2129193*d*j**2 - 13*d*j - 2*d + 2*j - 85 wrt j.\nAnswer: 4258386*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -0.5, -42, 1\/30.\nAnswer: -66, -42, -0.5, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from fwwwwwwwwwfwwwfwww.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 + u**2 + (2*u**2 - 7*u**2 + 3*u**2)*(-3 + 5 - 3) - u**2 + 1 - 1 - u**2 + 0 + 0 + 3*u)*(0*u + 0*u + u)*(11*u - 15*u - 14*u).\nAnswer: -36*u**4 - 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 25575950.5 to the nearest one thousand.\nAnswer: 25576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:52 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.8 or -136.9156?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2 + (9 - 5). Suppose -c*u = 4*g - 304, 10*g - 380 = 5*g - 3*u. What is the remainder when g is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 4634*j**2 + 0 + 4630*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6660 and 1479420.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1000, 4025, 9112, 16297, 25616, 37105, 50800?\nAnswer: 66737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.991 + -0.009. Let p = q + 4. Let y = -19.05 - p. What is the biggest value in y, -5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((20\/(-6))\/(-5))\/((-20)\/(-12390)) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 - 2*s + 1. Let i be (-4)\/(-18) + 174\/(-54). Let k be p(i). Solve -5*w + n - k = 0, 3*w - 8*w + 3*n - 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 9. Let j be b(-5). Let y(w) = w**3 - 48*w**2 + 47*w + 1. Let r be y(47). Sort j, -8, r in descending order.\nAnswer: j, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/690 and 21\/34799.\nAnswer: 1043970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201495 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 12. Let q be m(14). What is the nearest to 0.1 in -1\/4, 0.3, -8, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30666230 + 4?\nAnswer: -30666228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Suppose -4*z + g = -4, 2*z + z - g = 4. Let s(a) = 0*a - 2*a**2 + z*a + a**2. Give s(h(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 48 + 12 = 0. Suppose -5*q - 1 + 40 = -3*l, 2*q + l = i. What is the remainder when 10 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 12, -x + 3*i - 4 = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hegy when four letters picked without replacement from ageahayeay?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -537573 or -537572?\nAnswer: -537572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b2 - 1a?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -215.9 - -199.95. Round n to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 8\/5, -2, -3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3839028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3293, 4, -1504 in decreasing order.\nAnswer: 4, -1504, -3293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 - 1047 = 103*n + 908 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from akakkqaktvkkk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -18 + 88\/5*v**2 + 11\/2*v**4 + 1\/15*v**6 + 56\/5*v + 206\/15*v**3 + 26\/25*v**5. Suppose y(t) = 0. Calculate t.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 7*k**2 + 8*k + 9. Let v be c(8). Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*i + 18, -i + 6*i - 15 = 0. Let a(h) = -n + 8 + 3 + h. Let b be a(-4). What is the highest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32528780 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*z + 107 - 107)*(0 + 0 + 2*z**3 + 2*z**2) as c + t*z**2 + j*z + q*z**3 + v*z**4 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2*b + 16, -c + 180*b - 71*b + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**19\/(w**(-3\/2)*w) assuming w is positive.\nAnswer: w**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-6*sqrt(2)*1 - (-5 + sqrt(32))) + sqrt(32) + (sqrt(96)\/sqrt(3) + 2 - sqrt(32)))**2.\nAnswer: -336*sqrt(2) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35035 and 1.076.\nAnswer: 37697.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**3 + 58*m**2 - 10*m + 9. Give n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 - -4. Let m = 50.87 + 1.13. Let y = m - 52.3. What is the nearest to c in -6, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + -11.95. Let u = -13 - d. Let g = 0.22 - 0.19. Is u at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2506257.\nAnswer: 3, 13, 31, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * 3.78.\nAnswer: -21.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125 + 175*o - 18*o**2 + 5*o**3 - 6*o**2 - 3*o**2 - 28*o**2.\nAnswer: 5*(o - 5)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j + 12 - 12.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27181.\nAnswer: 7, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.392 * -0.4.\nAnswer: -0.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-12)*16\/(-6). Suppose -3 + l = -n. Let t(x) = -x - 7. Let a be t(0). Is a at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.863 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/35023272 and 151\/744.\nAnswer: 1085721432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_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 product of -61 and 4358?\nAnswer: -265838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 10*r + 1 + 6*r - r**2 + r**3. Let j(b) = -2*b**3 + 3*b**2 - 3*b - 4. Determine -4*f(s) - j(s).\nAnswer: -2*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2}. Give prob of sequence fx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**3\/11 - 42*v**2\/11 - 96*v\/11 - 72\/11.\nAnswer: -6*(v + 2)**2*(v + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - b = -3*b - 4, 3*a - 4*b - 8 = 0. Suppose 0*m - 5*m + 230 = a. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423945 is divided by 13672.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7196812m?\nAnswer: 719.6812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(0 + 6\/12). Suppose -y + 5*l = -3*y + 26555, 4*y + l - 53137 = h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 248*y**2 - 242*y - 492.\nAnswer: -2*(y - 123)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 - 2*z - 1. Let j be w(2). Solve 5*i - j + 7 = 2*r, 0 = 2*r + 2*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12) - (-2)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 502 + -59. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1 - 1 + 1 + 2 + (0 + 6 - 5)*(-1 - 3 + 2) + 0 - 2 + 3 - 3 + 7 + 62)*(-3 + 3 + o) + 1 - 2*o - 1.\nAnswer: 68*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (14 - -5) - 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + u. Let b be n(1). Let x be b*(36\/15 - 2). Sort x, 3, 0 in decreasing order.\nAnswer: 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.094.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.34, -2\/19, -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + 32*j**2 + 86*j + 5. Determine n(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/680 and -97\/2110?\nAnswer: 143480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 3*b - 11, -13 = -2*q - b - 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Factor 2*v**5 - 12*v**3 + 84*v**2 - 84*v**w - 2*v**4.\nAnswer: 2*v**3*(v - 3)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 1, -21, 48 in decreasing order.\nAnswer: 48, 12, 1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 11. Let b = 27 + -11. Suppose 72 = -b*f + 8*f. Determine c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 10 (b) 21 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Sort b, 5, 2 in increasing order.\nAnswer: b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/504*-7)\/((-70)\/(-45))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:34 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -647 + 650. Sort s, -32, -2, -4\/5 in descending order.\nAnswer: s, -4\/5, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - 92. Let d = 15 - 24. Is (-1)\/3 + p\/d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a**2 - 4*a + 4. Let t be 0 - (-2)\/(12\/18). Let r be b(t). Let c be (3\/9)\/((-26)\/36). Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 <= 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1876 = -127*c + 2696. Solve 5*d + 4*t + 4 = -c, 3*d + 27 = -3*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 8210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 26.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26164251?\nAnswer: 3, 109, 149, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 17*f + 9. What is s(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463965371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 90 + 10. Suppose -5*t + 25 = -5*y, -3*t + c - 1 = -4*y. Let h = -6 + 1. Put h, -2, y in increasing order.\nAnswer: h, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 160 = -2*i. Calculate the greatest common divisor of i and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26.9 and 4.\nAnswer: -22.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256448839.\nAnswer: 256448839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/11 or 60\/29?\nAnswer: 60\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142825477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(234\/(-27)))\/((189\/12)\/7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x. Let g(n) = -n - 17. Let t(h) = -3*h - 36. Let r(f) = -7*g(f) + 3*t(f). Give r(c(l)).\nAnswer: 10*l + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286482721 a multiple of 693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 53 = 7*j. What are the prime factors of (1162\/10)\/(j\/(-10))?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 3*s**2 + 2. Let u be j(-2). Let g(q) = -q**3 + 8*q**2 - 2*q + 5. Is g(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -2, -10, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 3. What is q(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) 313 (c) -28 (d) -0.3 (e) 5\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -941 - -562. Let z = l + 376. Let v(t) = 2*t. What is v(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-23)*p\/(p\/(p*p**(2\/3))))\/(p**(-23)*(p**(6\/5)*p)\/p) assuming p is positive.\nAnswer: p**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1\/1895, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(3*sqrt(12)*-2) + -3*(sqrt(567) + 2).\nAnswer: -163*sqrt(7)\/6 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 938571539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*((1*sqrt(1088)*-1 + sqrt(1088) - sqrt(1088) - sqrt(1088)) + 1))**2.\nAnswer: -4608*sqrt(17) + 626832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000158279 rounded to six decimal places?\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*-2*(1 + sqrt(1872) + 3 + -3 - (((sqrt(1872) - sqrt(1872)*-2) + 0 - sqrt(1872)) + 0)))**2.\nAnswer: -67428 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001113985476 to 6 decimal places.\nAnswer: -0.001114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, 26, 257 in ascending order.\nAnswer: 26, 200, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -36*p**2. Let w(q) = 12809*q + 8. Give w(f(b)).\nAnswer: -461124*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126634 or 0.05?\nAnswer: -126634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749.83 + -0.4.\nAnswer: -750.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*h - 4961 + 3073 - 5834 for h.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (444\/18)\/((-75)\/((-9225)\/82)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Let d be h(-2). Let p be (3\/(-3)*-83)\/d. Let r = -48 - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4480.9 - -4481. Which is the closest to -0.06? (a) 0.06 (b) p (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98767 - 49208. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 5*v**3 + 3*v**2\/2 + v + 2135. What is r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-60)\/(-252))\/((5\/6)\/5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvrvbbzbb. Give prob of picking 1 z, 1 v, and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -661, -4819, -2, -4 in ascending order.\nAnswer: -4819, -661, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219941 + 219929. Let s be 3*1\/(-4)*-4. Let t = 6 + -8. What is the nearest to t in -1, p, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69\/14062 - -1\/89. Let l = 299\/2686 + h. Let g = -8 + 6. What is the closest to g in l, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 334*c**2 - 3125*c - 2147. Give k(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 2*u. Suppose 2*b + 4 = 6. Let a be (-2)\/b + 0 + 17. What is the highest common factor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 37*q - 84. Is 62 a factor of d(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207969*i**3 + 130984 wrt i?\nAnswer: -623907*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let g(a) be the third derivative of a**5\/12 + 36*a**2. Calculate g(l(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 4, 580, 2808 in descending order.\nAnswer: 2808, 580, 4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(50))**2.\nAnswer: -50*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.050358458\nAnswer: -0.550358458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l**(-2\/7)\/l)\/l)))**(-2\/11) assuming l is positive.\nAnswer: l**(32\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/108 and 179\/180.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 7\/2 (c) 1\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 111, 256, 451, 690, 967, 1276?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -678015\nAnswer: -678015.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*g = -7, w = 2*w - 3*g - 31 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301.885cm to nanometers.\nAnswer: 23018850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05428569 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311120 - 1302?\nAnswer: -313022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1. Suppose 420 = 20*n + 15*n. Let d(h) = 2*h**2 + 10. Give n*i(r) + d(r).\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1952 and 99\/1172.\nAnswer: 571936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-1 - 3) - -35. What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -560*o + 571*o - 37125. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(194*(-4)\/(-48)). Let s be -3*(-8)\/(-18) - ((-104)\/24 + 4). Which is greater: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 996 + -992. Suppose 5*u = w*p - 3095, 2328 = 8*p - 5*p + 3*u. List the prime factors of p.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 9, j: 1, b: 2}. Give prob of sequence hjbh.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 7*w - 4*w + (-1 - 9 + 0)*(-w - 2*w + w))*(1 + 2*w + 4*w**2 - 4*w - 2*w**2) in the form s*w**3 + f + o*w + n*w**2 and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -8, 9, 0.5.\nAnswer: -50, -8, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5060 + 5059. Which is the closest to g? (a) -1 (b) 1 (c) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/60*r**5 + 6*r**2 + 0*r + 1\/2*r**3 + 1\/12*r**4 + 0. Let i(j) = j + 1. Let v(t) = 5*i(t) - k(t). Determine v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105, -1\/2, 1\/26, 0.2?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1034.72839 and 195.01.\nAnswer: 1229.73839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 13) to base 15\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 17*b**2 + 0*b - b**3 + 0 + 17\/24*b**4 - 1\/30*b**5. Let o be c(8). Solve 4*p + 12 = -o*n, -4*n - n = 5*p + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = f + 10, 4*f - 8 - 2 = -2*u. Calculate the remainder when 81 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -4 + -8 - 2) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(2736) + sqrt(2736)*3)**2)*-4.\nAnswer: -175104 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 6*t + 25. Suppose n = -t*p, 5*n + p = -0*p. Suppose n = -3*h - 2*h + 165. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**5\/450 + r**4\/90 + r**3\/45 + 21*r**2\/2 - 62. Let l(p) be the second derivative of c(p). What is h in l(h) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3352*x**2 + 5*x**3 + 1671*x**2 + 1681*x**2 - 3.\nAnswer: 5*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1062 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28906?\nAnswer: 2, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -6)*(-3 + 2). Suppose -u + f = 1. Let t(w) = -2*w**2 - 9*w + 2. Let v(x) = -3*x**2 - 17*x + 5. Let g(k) = -5*t(k) + 3*v(k). Calculate g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*x + 26*x + 0*x + 20*x to the form r*x + o and give r.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = -3*n - 3*j, 5*n - j = 13. Suppose a + 0 = n. Differentiate -17 - h**2 + 5 + 5 + 0*h**a with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791023.\nAnswer: 3, 31, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -344280, -688563, -1032846, -1377129, -1721412?\n\"Answer: -344283*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 - 2*(4 - 3). Suppose -5*u + r*u + 45 = 0. Let q be u\/(-5) + (-9 - -7). Sort 0.1, 1\/2, q.\nAnswer: q, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oohhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -481*o**8\/84 + o**7\/210 - o**4\/12 - 275*o**3\/3 + 530*o**2 - 4. What is the second derivative of r(a) wrt a?\nAnswer: -38480*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from kbjtvkvz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 + 6 - 39)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 14*s - 4*s. Put -2, s, -49 in decreasing order.\nAnswer: s, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789 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 f(t) = 2*t**2 + 116*t - 39746. What is f(-175)?\nAnswer: 1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 11*c - 18*c - 3*c as b*c + t and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/171590 and -1\/240226?\nAnswer: 1201130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -763210, -763218, -763226?\n\"Answer: -8*m - 763202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -289*r**7\/42 - 152*r**3\/3 - 208*r + 106. Let x(h) be the first derivative of d(h). Find the second derivative of x(a) wrt a.\nAnswer: -5780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85705*h**2 + 15901 with respect to h.\nAnswer: -171410*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125430989 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 7. What is the remainder when v(-6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3822914 + -378471691\/99. Let g = -290\/9 - b. Calculate the common denominator of (-174)\/36*8\/22 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.03 take away 231191262?\nAnswer: -231191265.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -1074, -1613, -2154?\nAnswer: -2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315073788 divided by -6.\nAnswer: -52512298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 0.0303. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375600486.\nAnswer: 2, 3, 62600081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115398273 to the power of 1\/2, to the nearest integer?\nAnswer: 10742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*r - 39, 0 = -5*r + 5*x - 15 + 20. What is the closest to 0 in r, -4, -5\/6, 1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*h + 1 + 13*h**3 - 4*h**3 - h**4 - 2*h**2 - 107*h in the form j + z*h + w*h**2 + u*h**4 + i*h**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 9*q - 19. Let p be f(-11). Solve t + 3 = -m + 2, p*t = 5*m + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -16. Let v = 12 - y. What is the closest to -0.2 in -3\/4, 2, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -889163 divided by -17\nAnswer: 889163\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23220 divided by -3.\nAnswer: -7740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.685 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*36\/(-180).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1717283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14642, 58551, 131732, 234185, 365910, 526907?\n\"Answer: 14636*j**2 + j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - l - 3*l)*(3 + l - 3) - l + 2*l**2 + l - 10*l**2 + 12*l**2 + 16*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from bdeecececeeb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t\/(t*t*t\/(((t\/(t*t**(1\/2)))\/t)\/t)))\/(t*t*t**0*t*t)**16*(t**(-7)\/(t**3*t))\/(t**(2\/3)*(t**(-5\/2)\/t)\/t) assuming t is positive.\nAnswer: t**(-215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13322606 is divided by 945.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*q = 6, 1035*l + 105 = 1000*l + 4*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1902449 and -5\/1758.\nAnswer: 11414694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 860164, 1720326, 2580488, 3440650, 4300812?\nAnswer: 5160974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1708\/135 - 1458491\/115695. Calculate the common denominator of 21\/3428 and f.\nAnswer: 3428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112841, 225699, 338557?\n\"Answer: 112858*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 16*p**2 - 22*p + 79. Let v be s(17). Which is smaller: v or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -129385*i**2. Let m(a) = 53*a. What is m(l(k))?\nAnswer: -6857405*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38842574 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(13\/(-182)). Solve m = -3*r + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 259452147 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 5*m + 8. Let t(o) = -o - 1. Let q(r) = 3*t(r) + x(r). Let b = 19 - 24. What are the prime factors of q(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 3*q - 3*q)*(-77*q**2 + 37*q**2 - 31*q**2) + (0 + 0 - q**2)*(3*q**2 - 7*q**2 + 0*q**2).\nAnswer: -209*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than -6031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -24*j + 748. Let p be u(0). Calculate the greatest common factor of p and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)*(25 - (1 - 7)). Find the second derivative of -125*g + 36*g + o*g - 33*g**2 - 30*g**2 wrt g.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r**14\/r)\/r)*r**(-21)*r assuming r is positive.\nAnswer: r**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:58 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -22*(-14691)\/159. Let o = -2033 + a. Let g = 331\/795 + o. Sort 0.3, -3\/7, g in ascending order.\nAnswer: -3\/7, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2*m**3 - 1. Let a(h) be the third derivative of 0*h**4 + 7*h**2 + 0 + 0*h - 1\/30*h**5 + 0*h**3. What is a(v(s))?\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/144 and -50*25\/1320 + 0?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01908241 rounded to 5 decimal places?\nAnswer: -0.01908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhhhrh. Give prob of sequence hhh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 9, 13, 17, 21, 25?\n\"Answer: 4*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwnwwgtwtwnw?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/78)\/((-4)\/(-24))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 32, 36, 24, -10?\n\"Answer: -m**3 + m**2 + 18*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiiw. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*w + 72 + 17*w - 10*w**2 - 66)*(2*w - 1 + 1).\nAnswer: -20*w**3 - 4*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -2408, 122 in descending order.\nAnswer: 122, -127, -2408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -11. Let u = -9 - f. Sort u, 0.3, -4 in descending order.\nAnswer: 0.3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4443, -5495, -6541, -7575, -8591, -9583?\n\"Answer: q**3 - 3*q**2 - 1050*q - 3391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (-8 - -11) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*p**5 + 20*p**5 + 34*p**5 + (3*p + 2*p - 6*p)*(p**4 + 4*p**4 - 3*p**4).\nAnswer: 99*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, z: 1, q: 1, s: 1}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.78867 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12126552\/11 > 1102415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28851305683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:07 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**3 + q**2 - 3*q + 2. Is l(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5055916 divided by -4.\nAnswer: -1263979","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 9734 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.4, -12 in ascending order.\nAnswer: -12, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314672*m + 7558*m**3 - 314672*m + 9110*m**3.\nAnswer: 16668*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332015*m**2 - 1002*m**3 + 332015*m**2.\nAnswer: -1002*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -214, -19, 157 in ascending order.\nAnswer: -214, -19, -2, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5 - 1 = 0. Suppose 3*c + 8 = c. Let p = a - c. Solve -6 = -u - p*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(2401)*-1*3)\/(1*sqrt(112) + sqrt(847)*-2))*1)**2.\nAnswer: 35*sqrt(7)\/3 + 1243\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/18 and (24\/(-40))\/((-48)\/135)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p + 4. Let k = 0.5 - 0.1. Let y = -3.4 - -3. Which is the closest to p? (a) -1 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 - 40 = 153*t + 171 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 237*g - 513. Calculate the smallest common multiple of 231 and x(3).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 2. Let b be z(-4). Solve 2*f**3 - 9*f**2 - f**2 - f**2 - 7*f**b + 4 + 6*f + 6*f**4 = 0 for f.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - (9 + (-52)\/(-16))) + (2 - 2). Suppose -3*m + 0 = -9. Suppose m*o - 5*o + z + 1 = 0, 0 = 2*o + 4*z + 4. Is t at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5320*f**4 + 5*f**3 + 2*f - 56560 wrt f?\nAnswer: -21280*f**3 + 15*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:54 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.38 - 0.38. Let h = -202602887.00000464 - -202602834. Let i = n + h. What is i rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*d = 32, -3*b + 87*d - 92*d + 35 = 0. Solve 7*x = b*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + -6 + 3)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**3\/3 - d**2\/2 + 22*d + 1. Let n be ((-3)\/(-6))\/(0 + (-6)\/60). What is the units digit of f(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 at least as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a**2 - 2164*a + 8887. Determine i(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -28. Suppose 3 - 27 = -q*u. Solve -4*z - 4*t = -u*t + 20, 5*t = -3*z - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 4*f + 2, 2*s = -0*s + 4*f + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 848500 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + 98.91. Let b = 86 - j. What is the fourth biggest value in -5\/3, b, 0.1, 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*q - 24, -17 = -3*o + q + 3. What is the least common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 17 + 38 - 16. Suppose 0 = 2*q - 3 + 7. Let x(m) = -2*m - 6. Let i(j) = q*x(j) - 3*d(j). Find the first derivative of i(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = 3*r - 23, -r = 2*g - 46. Let w = 21 - g. Is -34\/11 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2333 - 3694. Suppose 4*z - 1687 = -3*t, -5*z - l - 790 = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5505 + -5497. Solve 18 = 2*w - 3*y, -s*w + 4*w - 5*y = 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dkdkdkdkkddk.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 12*g**2 - 3*g - 24. Let j be t(-12). What is the remainder when 11 is divided by (15\/(-12))\/((-3)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 4*q - q + 6*q - 4*q**2.\nAnswer: -4*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2}. What is prob of picking 1 m and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12650109 is divided by 237.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 13*c**2 + 5*c - 25. Let v be r(-11). Let d = -117 + v. Calculate the highest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 30*g + 150. Let u be (4 - (0 + 7)) + 2. Put 5, u, g, -3 in increasing order.\nAnswer: g, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-22)\/(-16) + 34\/136. What is the third derivative of -22*i**6 - 22*i**6 + 7 + 5*i**2 + 0*i**2 - k wrt i?\nAnswer: -5280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26477188 to the power of 1\/2, to the nearest integer?\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156210789?\nAnswer: 3, 7, 2531, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -202622 take away 75626304?\nAnswer: -75828926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11658103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1457 - 1288. What is the remainder when 181 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -33*z**3 - 5*z**2 - 5*z + 5. Let h(k) = 1007*k**3 + 152*k**2 + 152*k - 152. Calculate 5*h(v) + 152*x(v).\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8373983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 13*c + 114 = -12*c, -5*g - 2*c - 1 + 40 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t**2 + t)*((0*t + t + t)*(6 + 6*t**2 - 6) + 150*t**3 + 153*t**3 - 349*t**3).\nAnswer: 68*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 110.3819.\nAnswer: -993.4371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 14. Let i = a - -21. Let w be i\/(-4)*(33 + -37). Solve -3*l + w*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-8) - -3)*(-40)\/(-24) - -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46.1, 5, -744, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 - 2*t**2 + 2*t - 1. Let y be p(1). Suppose 5*h - y - 2 = 0. Let s be 4 - (-4 + h + 2). Solve 0 = l + 4*z + 3 + 13, 4*z + 16 = s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 40 = -4*r, 5*r + 30 = 3*n - 0*r. Let k(l) = -2*l**3 - l**2 - 3*l - 6. Calculate the least common multiple of n and k(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**4\/7 - i**3\/7 = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -20*a**3 + a**2 - 2*a + 1. Suppose 6*u - 6*u - 7 = -7*u. Calculate h(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 13, -37969\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**1)**(-18\/13)*n**(-3)\/(n**(-10)\/n))**(2\/45))**(-28\/5) assuming n is positive.\nAnswer: n**(-3808\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.701 - -5?\nAnswer: -396.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116504 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i**2 + i**3 + 0*i**3 + 2890 + 44*i**2.\nAnswer: i**3 + i**2 + 2890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2)*(60\/50)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/1845648 and 95\/4921728?\nAnswer: 14765184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**3 + 959*j**2 + 615*j**2 - 24*j**3 + 44*j**3.\nAnswer: j**3 + 1574*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 10. Let h = -1671 - -1672. Which is the biggest value? (a) -1 (b) 2\/3 (c) h (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + -3?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9056, -9040, -9010, -8960, -8884, -8776, -8630?\nAnswer: -8440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from yooypooy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*g**2 - d - 13205*g**2*s - 2*g*s**2 + 112763*s**2 wrt g?\nAnswer: -2*d*g - 26410*g*s - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360046921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9222, 37530, 84904, 151344?\n\"Answer: 9533*l**2 - 291*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.799014 - 7.879. Let n = d - -0.08. Round n to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 2*n**2 - n + 404. Is w(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*m - 2*b, -148*m + 151*m + 4*b = 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-380)\/(-28) + (-3)\/(-7). Calculate the greatest common factor of 4032 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/8 + 147*q**4\/4 + 2978*q**3 + 225717*q**2\/4 + 2459743*q\/8 = 0.\nAnswer: -167, -103, -13, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-40))\/((-10)\/8). Suppose 2*s + 1 + 13 = 3*l, 0 = -4*s + 3*l - 16. Which is the nearest to s? (a) j (b) 3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 765904673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24171.\nAnswer: 3, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*o - 21 = -4*d, -5*o - 14 = -2*d. What is the greatest common divisor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6604)\/13*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 12*m**2 - 907997*m - 529669 = 0.\nAnswer: -7\/12, 75667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 at least as big as 60662\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 55*f - 55. Calculate the lowest common multiple of z(-29) and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*r - 22, 2*r = -7*k + 12*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2744?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 319. Let u(p) = -2*p + 664. Determine 11*g(m) + 6*u(m).\nAnswer: -m + 475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + p**2 + 2160 - p - 2*p**2 - 350.\nAnswer: -p**2 + 1810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 5. Let z be -2 + (-1)\/(-2)*-8 + (-25)\/(-4). Let d = 199 + -592\/3. Which is the nearest to z? (a) d (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -32*n + 103. Suppose 4*b - b = 3*o - 27, 57 = -4*b - 3*o. Does 38 divide z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 126. Let d(m) = -2*m**2 + l - 37. Let h(i) = -i**2. What is h(d(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4*w**2 - w + 0*w + 3*w**2)*(12*w - 36 + 36) - 6*w**3 + w**3 - w**3 in the form j + d*w**2 + k*w**3 + f*w and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**4\/6 + y. Let x(z) = -5*z. Let s(t) = -26*t. Let j(r) = -2*s(r) + 11*x(r). Give j(k(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b + 3. Determine a(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*c + 1 = -2, -3*c - 3 = 0. Suppose 0 = -z*w - 2*w + 18. Solve 5*f - b = 4*f - 6, 0 = -4*f - b - w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 2 = -2*w. Let i = -5 - w. Let n(l) = -l**3 - l**2 + 2*l + 2. Calculate the lowest common multiple of i and n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 52 = -214. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2305\/18719 or 0?\nAnswer: -2305\/18719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5929*v**3 - 45507*v**2 + 68085*v - 23409 = 0. What is v?\nAnswer: -9, 51\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 992905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(24\/(-22) - -1). Let m be (1\/5)\/((-12)\/(-10)). Let l = -0.03661 - 0.06339. What is the second biggest value in l, m, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 812 and 11?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 853*a + 4250. Calculate b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let j(o) = -9829*o. Calculate j(r(x)).\nAnswer: 19658*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xemx when four letters picked without replacement from xxxmemmeeexexxmmxx.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 205 + 1?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {z: 1, q: 1, i: 6, h: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -16 - -3) + 7 - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 37*r**2. Let w(s) = -876924*s**2. Calculate w(z(n)).\nAnswer: -1200508956*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4422942 - -10?\nAnswer: 4422952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -16?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.2? (a) -1\/3 (b) -0.142 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18258 and -29\/6444.\nAnswer: 109548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 7520*l**3 - 33 + 2*l**2 + 69.\nAnswer: -7520*l**3 + 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.00197 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b + 10 - 46. Let q be 0\/(4 + b\/(2\/(-2))). Let q + 2\/7*l - 1\/7*l**2 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:17 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -12a4?\nAnswer: 12a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -68, -203, -462, -887, -1520?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*1)\/sqrt(2))\/sqrt(11).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*x = 111*x - 880. Calculate the highest common factor of 44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y = -4. Suppose -y*f - 16 = 0, 5*g - f + 3*f - 142 = 0. Suppose 4*b - 3*q - 70 = 0, 5*q + g = 2*b + q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 25124675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*g - 93*g + 39*g)*(706 - 706 + 135*g**3 - 2*g**2).\nAnswer: -4320*g**4 + 64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a + 36. Suppose 6*f + 12 = 36. Let g be k(f). Solve 0 = 4*h - g*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 139.4 and -45.\nAnswer: 94.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1376271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 935976 and 311992?\nAnswer: 935976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 2, d: 3, y: 1, x: 1, t: 11}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17159?\nAnswer: 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(5 + 4 + -5 + -4). Solve m = -2*j - 209 + 199 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13265 is divided by 377.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t**2 + 8*t - t**2 + 3 - 11. Give q(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 + 2. Let k be x(-4). Let r be ((-3)\/k)\/(42\/(-476)). Solve 4*z + r = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5388)\/4041 - (((-229)\/87 - -2) + (-14)\/21)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085.014426 rounded to one decimal place?\nAnswer: -1085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a. Suppose 3*b = -1 + 4. Let y be b*(0 - 1)*-1. Let k(g) = -5*g - 1 + y + 6*g. Calculate k(t(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*o - 3665 = 0, 6*o = -5*z + 9*o + 3660. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939497063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -5, 1.5, 0.4 in ascending order.\nAnswer: -5, 0.4, 1.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190754641 and 81751989?\nAnswer: 572263923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-6 - -3) + 2. Suppose m*p - 35 = 2*y + 3*y, y + 1 = -2*p. Suppose n = p*n - 20. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxdxxddxxdddd. Give prob of sequence dxdx.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 3*z - 2. Let q be y(-2). Let h = -4 + q. Suppose 19*v - 16*v = 21. Put -4, v, h in descending order.\nAnswer: v, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319052 and 12284.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014070444 rounded to 7 decimal places?\nAnswer: -0.0001407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.136 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000064962 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 21175 - 42420 = 0. Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 257, 259, 261?\n\"Answer: 2*x + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71513873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = y + 6, 2*t = -3*t + y - 6. Let r be (3\/(-1))\/((-2)\/t). Let l = 1.18 + -0.78. What is the nearest to -2\/3 in r, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - ((-3)\/(-3) - -1). Let g be (-6)\/3*(-15)\/y. Suppose 0 = -0*h + h - g. Solve -10 - 4 = 4*a - 3*u, -4*a - h = 5*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54363635.\nAnswer: 5, 71, 153137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1382 divide 2993071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 44. Let u be f(16). Suppose -3*p + 3*t = -2 - 1, -20 = -u*t. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27443078 (base 9) to base 4.\nAnswer: -303230102003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 274.9 - 283. Let m = a - -8.099647. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3190264 months in millennia?\nAnswer: 0.0001932522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419426 is divided by 65387.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8338 divided by -2\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 5*s + 6. Let r(g) = 3*g + 5 - 16 + 38 + 14. Let x be r(-15). Calculate y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 146. Suppose j = 6*t - 5*t. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0 (c) 0.5 (d) 39 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 147350065*n + 147350060 = 0. What is n?\nAnswer: 1, 29470012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 11 + 4 = -5*y, -4*b + 2*y + 12 = 0. Solve 2*w = o + 6 - b, -w + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36983 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1111111101010100100010000?\nAnswer: -1111111101010100100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*i = i + 40, -3*i - 6 = 0. Suppose 0 = -0*y + 5*y - g. Let m be ((0\/3)\/(-1))\/y. What is the smallest value in 2\/19, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:40 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-8 + 3) - 4. Suppose a = t*a - 268. Round a to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 1. Let k be ((-16)\/(-6))\/((-4)\/30*5). Let b be (-1*(-96)\/(-20))\/(k\/10). Let d(u) = 2*u**3 - 2*u**2 - 10*u + 12. Calculate b*f(i) + d(i).\nAnswer: 2*i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 22 = 14*b + 5*m, 0 = 5*b + 5*m - 20 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 568, 576, 598, 634, 684, 748, 826?\n\"Answer: 7*m**2 - 13*m + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 21*k**4 - 162*k**3 - 45*k**2 + 6. Let n(f) = -f**2 - 2. Let x(y) = -3*n(y) - v(y). Factor x(g).\nAnswer: -3*g**2*(g - 8)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s + 568 = 109 - 917 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 777 + -28?\nAnswer: 74c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 3*u**2 - 24*u + 62. What are the prime factors of w(10)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7122 is divided by 7109.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -2\/11 (b) -4\/7 (c) -91\/334 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*a = -0*a + 6630, 0 = -5*t - a + 6660. Suppose -4*v = 5*s + 36 - t, -3*v + s + 995 = 0. List the prime factors of v.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 greater than or equal to 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1881 + -1878. Let k = -5 - -7. Suppose -k*w = r*h - 1075, -w - 4*w = 5*h - 1800. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -0.079 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 16 = 4*i, -4 = -72*s + 74*s + 10*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 870536, -3\/5 in increasing order.\nAnswer: -5, -3\/5, 1, 870536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/12 - 5*l**2\/2 + 3*l. Let u(n) be the first derivative of a(n). Let h(b) = b. Calculate u(h(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6 - 0. Let d(a) = -4*a**3 - 4*a**2. Let g(i) = -i**3 + 387*i**2 - 782*i**2 + 394*i**2. Give h*d(m) - 26*g(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 9*k + n + 4441 = 0, 5*n - 8896 = -2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5.16 (b) -1 (c) 141 (d) -2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8927436*h - 32697157 wrt h.\nAnswer: 8927436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(-13 + 2 - 10)*(-2*k**3 + 7*k**3 - 2*k**3).\nAnswer: 63*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let t be (-44)\/(-21) + 28\/(-294). Solve -t*b = b - v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12031, 48544, 109399, 194596, 304135?\n\"Answer: 12171*k**2 - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*s + 3*n + 25, 3*s + 19 = -4*n. Let u = -2 + s. Let p(i) = 5*i**2 + 2. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*o - 10, -y = -269*o + 270*o - 10. What is the lowest common multiple of o and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 3. Let l be h\/25 - 4\/(-5). Solve 5*m + 5*c - 25 = 0, -l = 4*m - 3*c - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 3. Let o be w(2). Suppose 2*s = o*s + 6. Let p(j) = -227*j**3 + 6*j + 4. Let c be p(s). Round c to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -399133, -399132, -399131, -399130, -399129, -399128?\n\"Answer: h - 399134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146, 90, 550, 1228, 2118, 3214, 4510?\n\"Answer: -f**3 + 118*f**2 - 111*f - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541139.\nAnswer: 19, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/135759 and 97\/4323402?\nAnswer: 56204226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 - 65436*j\/11 - 2026594\/11.\nAnswer: -2*(j + 31)*(j + 32687)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.848610395 + -784.\nAnswer: -780.151389605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.4 + -8. Let l = 4.6 + k. Are l and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401066122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/25 + (-14)\/(-5). Suppose 684 = 4*h + r*i, -h + 4*i + 189 = 36. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12311 = -2*h + 8669, 0 = -t + 2. Is 106 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 - 40*p + 25. Let y be (-342)\/(-38) - (0 - -1)\/(-1). What is the hundreds digit of v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = -5*n - 31*g + 10, 5*n - 2*g = 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16*j - 121. Calculate n(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 smaller than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -47. Let a be ((-4)\/c)\/((-12)\/18). Factor 0 + 1\/3*s**a + 1\/3*s + 2\/3*s**2.\nAnswer: s*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 25. Sort -5, 4, b in ascending order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64275?\nAnswer: 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69301*u - 183 = -69271*u - 3*q, 0 = -2*u - 5*q + 97 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 55, 51, 47, 43, 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -181*h + 350. Let s be u(6). Let l = s + 834. Let y be (-28)\/(-6)*3\/1. What is the greatest common divisor of y and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 4*v = -6*t - 28, 4*t = -2*v - 2. Suppose 5*p - 3*c = 2*c - 2736005, 2*p + 1094398 = -t*c. Round p to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/15 + k**4\/8 + k**3\/3 + k**2 + 42. Suppose r - 4 = 3*r. What is u(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 6*b - 9.\nAnswer: -(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4837487649 to the nearest integer?\nAnswer: 69552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9665000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188 minus -1774163.6?\nAnswer: 1774163.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48, 269, 1258, 3255, 6596, 11617, 18654, 28043?\n\"Answer: 56*r**3 - 75*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42\/54 + 2\/(-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 2, q: 2, i: 4}. Give prob of picking 1 p, 1 w, and 2 q.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 144 - 3*q - 360 + 162. Let n be t(-8). Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w + 0 - 405*w**3 - 126*w**2 - 729\/2*w**4.\nAnswer: -3*w*(3*w + 2)*(9*w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-2\/17))*r*r**(-3\/2))\/(r*r**5*r\/(r*r\/r**6)))\/((r*((r*r**(2\/3)\/r)\/r*r)\/r)**(-1\/31)*r**6*r**(-2\/13)) assuming r is positive.\nAnswer: r**(-675877\/41106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3. Let c(q) = -6*q**3 + 3*q. Let k(f) = f**3 - f. Let o(d) = c(d) + 3*k(d). Calculate -2*o(x) + 10*z(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1766)\/(-446) + -8*(-8 - 221\/(-26)). Is x equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:54 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-9)*3 - 2. Suppose -12 = -u - s*f, -u = -6*u - 4*f + 38. Suppose -c + u = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65363023*i**2 - 100255640*i wrt i?\nAnswer: 130726046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 79040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3 + 4\/3*l - 1\/3*l**2.\nAnswer: -(l - 5)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**3 - 5*k**3 - 6*k**3 + 16 - 28*k**2 + 12*k**4 + 4*k**5 = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 787, 0.3, -4 in decreasing order.\nAnswer: 787, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 828 = -14*l + 324. Let y(q) = -q**3 + 24*q**2 + 4. Give y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8\/(y**(3\/10)*y))**(-26)\/((y*y*y**(-2)*y*y*y)**(-12))**5 assuming y is positive.\nAnswer: y**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*f + m, 2 = -f - 4*m - 12. Solve -4*v - f = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -168*k - 776 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -3*k**5\/20 + 3*k**2\/2 - 9*k. Differentiate m(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49752 (base 15) in base 9?\nAnswer: -386635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 395. Let z(j) = 4*j + 398. Give -3*s(l) - 2*z(l).\nAnswer: l + 389","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h - 10. Let p(d) be the second derivative of -13*d**3\/3 - 11*d**2\/2 + 6*d. Let c(u) = -6*m(u) + 7*p(u). What is the derivative of c(r) wrt r?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxczydzcczcdcdyccd. What is prob of picking 2 z and 1 l?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -79.99765. Round h to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Suppose -8*u - 24 = -0*u. Let p be y(u). Let n be 2 - 24\/18*p\/4. Solve n*i = -12, -i + 6*i + 40 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -100114?\nAnswer: -100123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 - (-2 - (5 + -6)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6605 - -34193. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:41 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1051*d - 306*d + 12 - 39 - 17 + 1580*d wrt d?\nAnswer: 2325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 32 = -3*l + 4*r, 10 = -l + r. Let w be 18\/4*l\/(-9). Solve 5*m + o - 13 = 5*o, w*m + o = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.091 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486127, -1944482, -4375075, -7777906, -12152975, -17500282?\nAnswer: -23819827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 554637 by 5.\nAnswer: 554637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258450 and 225.\nAnswer: 775350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*w + 2*m, -3*m = 3*w - 3 - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3959499 and 804.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14 = -4*j - j, -5*j + 5 = -5*c. Suppose s = -s - j. What is the units digit of 5 - (s + (-4)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + 2. Let u be (-5)\/20 + (-22)\/8. Let c be y(u). Let i = 27 + -17. Calculate the greatest common factor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-350)\/4760*(-2)\/(-10). Suppose -5*w = 15, m + 0*w + 5 = -2*w. Which is greater: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58280789 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5656 and 14406?\nAnswer: 5820024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6. Let g be n(0). What are the prime factors of (-2)\/g*1\/((-2)\/(-372))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 86\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11012975447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let y(j) = -36281*j**2. What is y(f(b))?\nAnswer: -145124*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52.76, -3, -0.3668.\nAnswer: -3, -0.3668, 52.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/83 in -0.03, 0, 41, -3\/4, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 114265.687?\nAnswer: -114263.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiirhrhikihiihihk. What is prob of picking 1 k and 1 h?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 16*l - 23. Solve 3*f + 0*j + 1 = j, -9 = -3*f + l*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 933 + -57. What is the least common multiple of s and 6?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114885, 1, -2, -1, -3, 2.\nAnswer: -114885, -3, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*c - 21*c = -918 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a + 8. Let f(w) = -w**3 + w**2 + 4*w - 9. Let g(i) = 4*f(i) + 5*t(i). What is the remainder when 18 is divided by g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31571996, -63143999, -94716000, -126287999?\n\"Answer: n**2 - 31572006*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118085518 is divided by 742676?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*((1 + sqrt(500))*3 - 3*sqrt(500)*1)*4)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 43 = -3*v, 4*v = 9*v - 5*z + 85. Let b(w) = w. Let o(t) = -4*t + 25. Let x(h) = -6*b(h) + o(h). What is the tens digit of x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g + 140*g - 113*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-36)*(-80)\/(-35)*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -1 - (-1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5578.5 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 6*i**3 + 28*i**3.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -18903 - 6496. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -16, t - 21 = 6*t + z. Let x(j) = 2*j**2 - j + 1. What is the remainder when ((-5)\/t)\/((-2)\/170*-1) is divided by x(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401503.\nAnswer: 331, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8990 = -3*s - 2*s, -5*h = 4*s - 8954. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 9 - 44*d**2)*(0 - 1 - 2) - d**2 - 2*d + 2*d + (d - d + 2*d)*(-6*d + 0*d + 4*d).\nAnswer: 127*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/7 + 7461*j**2\/7 - 5169105*j\/7 + 639252975\/7.\nAnswer: -3*(j - 1165)**2*(j - 157)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*u + u**3 + 702 + 41*u + 51 + 483.\nAnswer: u**3 + 1236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/279630 and -203\/111150?\nAnswer: 26564850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -61. Suppose 10 = -5*p + q, -3*q = 5*p + c - 19. What is the smallest common multiple of 24 and (p + 4)*22 + 1\/(-1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/4 + 16*p. Let h(u) = -3*u. Calculate h(d(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 58 = r - 187, b - 245 = -3*r. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2701\/1155 + -2\/385. Let k = -617 + 617. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -26*i - 14*i + 221*i**2 + 51 + 37*i. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 1 - (7 + -3312 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**7\/350 + 49*h**6\/25 - 9988*h**5\/25 + 37632*h**4\/5 - 294912*h**3\/5 + 11*h**2 + 2*h + 69. Suppose t(b) = 0. Calculate b.\nAnswer: 4, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3444100 + 1142?\nAnswer: 4000242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 814025*r**3 - 33122471760*r**2 - 762247530540*r.\nAnswer: -5*r*(r - 81414)**2*(r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 2*d**2 + 3*d - 2. Let t be v(2). Suppose -t*x + 12 = -0*x. Let s(i) = 12*i + 3. Is s(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 534*u**2 + 3096*u.\nAnswer: 3*u*(u - 172)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-31)*(-5)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 3\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 + 41486*f**3 + 16*f**2 + 18117.\nAnswer: -24*f + 248916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233383125, 233383123, 233383121?\nAnswer: 233383119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) -4 (c) 333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30411 and 33.\nAnswer: 334521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.89 times 1?\nAnswer: -75.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079819 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p - 2*p)*(6*p**2 - 3*p**2 + 0*p**2) + 2*p**3 - 3 + 3 + 0*p**3 + 4*p**3 - 6*p**3 + (5*p**3 - 5*p**3 - p**3)*(-5 + 1 + 5).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/170)\/(36\/15)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1626 - 1626. Which is greater: b or 8\/203?\nAnswer: 8\/203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3140251909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/((d\/(d\/(d\/d**(-2))))\/d))\/d)**(-35)*(d*d*d**(-1)\/d)**(-5\/3))**(-2\/97) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 + -137. Let g(q) = -q**2 + i*q - 42*q + 31*q. Let r(f) = f**2. Determine r(g(d)).\nAnswer: d**4 - 18*d**3 + 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 289*w**2 + 50*w + 572. Is n(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-64)*2)\/((-2)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1358 + -1358. Suppose -1 = -s + 2. Suppose b = -s - 0. Put 2\/5, c, b in ascending order.\nAnswer: b, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6 + 116*p - 2 - 3 as m*p + l and give m.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 345*b + 3668. What is the ten thousands digit of v(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlvlllvvvlvlvvlljjl. Give prob of picking 3 j.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*-1*-3. Suppose 0*p - 18 = -3*p. Suppose -c = -5*m + 25, -i*m - 5*c + p = -4. Calculate the remainder when 8 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/3 - 122008*n**3\/3 + 1708406*n**2\/3 - 5979764*n\/3 = 0?\nAnswer: -61018, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 346, 344?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 2. Calculate m(-28).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 289.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 224267490 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppnppppppppp. What is prob of sequence pppp?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 + j**4\/6 - j**2\/2 + 7*j. Let y be z(-1). Factor 4\/7*k + 2\/7*k**2 + y.\nAnswer: 2*k*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981243749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(-88)\/22. Let j be (-1)\/9*r - 10\/45. Suppose j = -11*d + 7*d - 60000. What is d rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*n - 10, 3*n = v + 1 + 1. Let h = n + 1. Let y(r) = -90 + 32*r + 89 + 28*r - 59*r - r**2. Let d(g) = -2*g**2 + 3*g - 2. Determine h*d(o) - y(o).\nAnswer: -o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*c - 4, 2*x - 3*c + 8 = -6*c. Let h be (x + 4)\/(1 + -5). What is the biggest value in -1, h, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g**2 + 9. Let t(v) = -v**2 - 1. Let h = 31 - 40. Let m(o) = h*t(o) - r(o). Let i(q) = -q. Determine m(i(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 15, c: 1}.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**4 - 185*k**3 + 546*k**2 + 563*k - 172 = 0.\nAnswer: -1, 1\/4, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8280)\/46)\/(-30))\/(60\/130).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let w be (-12)\/54*(-18)\/8*2. Let a(s) = -16*s - 37. Let i be a(-2). What is the nearest to w in -1\/4, i, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/5 + 92*a**3\/15 - 136*a**2\/5 + 28*a - 98\/15 = 0.\nAnswer: 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 72*t**2 - 3291 + 3291.\nAnswer: 72*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1651 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/350*(-70)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Suppose -4*n - 17 = -3*j - 2*n, -5*n = j + 17. Let l(f) = -5*f + 20 - 28 - j*f. Calculate -l(i) - 6*q(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/156)\/(6\/(-27)) - (-22)\/24. Let t be (-1)\/((6\/(-22))\/(-3)). Is t smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**(-17)*(d*d*((d\/((d\/(d*d\/d**(14\/9)))\/d))\/d)\/d)\/d**27 assuming d is positive.\nAnswer: d**(-1454\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 23 - 2 - (7 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 29*y + 188. What are the prime factors of v(38)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d - 17 - 34*d**3 + 0*d**4 + 91\/5*d**5 + 0*d**2. Find the third derivative of g(i) wrt i.\nAnswer: 2184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34871039*g**3 - 1603009*g wrt g?\nAnswer: 209226234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**2 + 95*t + 750 = 0.\nAnswer: -6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.028079 to the nearest integer.\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 26. Let o be (d + -18*1)\/(7\/(-133)). Calculate the highest common divisor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -789125000 rounded to the nearest 1000000?\nAnswer: -789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 7*g**2 + 6*g - 3. Suppose -p + 2 = d, 5*p - 4*d = 2*p - 8. Let c(z) = z + 6. Let h be c(p). Calculate l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**4 - 3*u**4 - 5*u**4)*(-1 - 2 + 1) + 2*u**4 - 5*u**4 + 2*u**4 + 55*u - u**4 - 55*u to x*u + t*u**2 + i*u**3 + y*u**4 + l and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than or equal to -886523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121658 + 2?\nAnswer: -121656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4 and -9\/127?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3280, -3310, -3340, -3370, -3400?\nAnswer: -3430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38472 and 60785760.\nAnswer: 60785760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033272667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 258161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:40 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - b**3 - b**3 - 7*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 5}. What is prob of picking 1 f and 3 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*m - 2*m. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 3*x**2 + 8*x**2)*(-5*x - 3*x - x + (-x + 4*x - x)*(1 + 3 - 3)).\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11690, 11639, 11576, 11495, 11390, 11255?\nAnswer: 11084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3064)\/48 - (-4)\/(-8). Is k greater than -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51402870 rounded to the nearest ten thousand?\nAnswer: -51400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 481 + 1705 = 0. Suppose 0 = -j - 3*j - 16. What are the prime factors of ((-2)\/j)\/((-3)\/y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020142 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 + 3*m - 14. Let w be b(6). Suppose w*o = -6*o - 100. What is the units digit of (28 + 2)*o\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4006, 4017, 4042, 4087, 4158?\nAnswer: 4261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 less than 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 358864 and 1435456?\nAnswer: 1435456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1649\/(-5060) - (-2)\/11. Let x = w - 3\/506. Let v = x + 3\/4. Which is smaller: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) - (sqrt(200)*-3 - sqrt(2))) + -4 + (sqrt(48)\/sqrt(4)*5)\/(sqrt(6) - sqrt(30)\/sqrt(45)).\nAnswer: -9 + 79*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -2 - 15\/4*x**4 + 6*x**3 + 3\/5*x**5 + 6*x**2 - 24*x. Factor l(p).\nAnswer: 3*(p - 2)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-51612)\/289)\/12 + 15. Which is the second biggest value? (a) -0.5 (b) -1 (c) -35 (d) g (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwmtzkwwwmtzzwwmzksz. Give prob of picking 1 t and 2 w.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -64*b**2 - 15*b - 15. Let x be f(-1). Let i = -63 - x. Solve -i + 5 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3131011 (base 4) to base 6\nAnswer: -145301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/345)\/(34\/(-85))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.059 - -7.941. Let i be (-3)\/(-12) - 3\/(-20). Put -5, i, x in ascending order.\nAnswer: -5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -954683\nAnswer: 2\/954683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 x when three letters picked without replacement from {x: 1, c: 1, l: 1, r: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 2. Suppose -9*o + 7*o = 0. Let s be w(o). Let b be (6\/2)\/(1\/6). What is the greatest common divisor of s and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19623 + 136669\/7. Let z = t - -99. Sort 5, -1, z.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/8)\/((-2)\/(-8)). Let q = 6 - b. Suppose 0 = -5*t - q + 220. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23001103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14399891 take away 1653?\nAnswer: -14401544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6583 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/150 + m**5\/100 - m**4\/3 + 7*m + 71. Find k such that h(k) = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-14)*8\/34. Which is the second biggest value? (a) h (b) -2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {i: 4, z: 3, h: 2, g: 1, o: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 38. Calculate the smallest common multiple of 84 and h(-18).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3777 and 8.\nAnswer: 30216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9*26\/(-1404)*-450654?\nAnswer: 75109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-22)\/(y*y\/y**(-9)*y*y*(y\/(y**5*y))\/y)*y*y**(-2)*y\/(y**(-4\/3)\/y)*y**(-5)\/y**(-5) assuming y is positive.\nAnswer: y**(-146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let s be ((-12)\/14)\/((-2)\/14). Suppose m + s = 4*b, -3*m + 5*b - 3 = -6. Solve m*a = j*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245*g*q**2*v**3 - 22*g*q**2*v**2 + 8*g*q*v**2 - g*v**2 + 6*q**2*v**3 - 2*q**2 + 4*v**3 - 1 wrt v?\nAnswer: 1470*g*q**2 + 36*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4397 + 4213.5. Round g to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**2 + 3*r + 1. Determine g(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 333? (a) -1\/2 (b) -1\/3 (c) -155 (d) 0 (e) 8 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, 0.2, 3?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538187?\nAnswer: 13, 41399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4641156 and 633?\nAnswer: 4641156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1434 + 1384 + 2 + 74?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-2\/5)))\/r*(r**(-18)*r)\/r)\/(r*r**(-2\/7)\/r*r*r*r*r**(-7)))**8 assuming r is positive.\nAnswer: r**(-4232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4607 - 4601. Solve 2*b + 5*f + j = 3*f, -4*f - 15 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -52, -4, 4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13520 and 5408?\nAnswer: 27040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1027 and 42581.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 13. Let l be (-14)\/(-1)*4\/16*2. Let f be w(l). Let g be (2\/f)\/(1\/(-6)*-3). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 36) + 27 + -34 + 86.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7179959179 to the power of 1\/3, to the nearest integer?\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 287988 and 10609?\nAnswer: 29662764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 + -3.7. Let g = -1 + f. Which is the closest to g? (a) -1 (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/24)\/(((-23976)\/(-567))\/148)*2\/(-7)?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (-3*(sqrt(204)*-1 + sqrt(204)))\/sqrt(12) + (sqrt(17) - (sqrt(34)\/sqrt(2) + 4)) + 3))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 877.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -13068\/7*m + 201 + 6336\/7*m**2 + 131\/7*m**3 + 3\/28*m**4. Factor c(o).\nAnswer: 3*(o - 1)*(o + 66)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. What is the lowest common multiple of s and 97?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -442084048829?\nAnswer: 442084048828.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 20 + 4. Let a(m) = -4*m + 2*m - 3*m**3 + 6 + 4*m**3 - 4*m**2. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 0.9, -1\/3, -2, 0.5 in descending order.\nAnswer: 0.9, 0.5, -1\/3, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 + -6. Let m = -0.9 + 1. Let l = m - -0.4. Put 2, n, l in decreasing order.\nAnswer: 2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -478, -457, -384, -229, 38, 447?\n\"Answer: 5*r**3 - 4*r**2 - 2*r - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5 = 4*c, -12*c + 8 = 92*n - 96*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 5, -5\/1996 in ascending order.\nAnswer: -5\/1996, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 61 = 41. Let z = -101\/3 - k. Do 4\/7 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79169494274.45 - 4?\nAnswer: 79169494270.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -227\/3, -3, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -788558\/49 + 16094. Let x = 454\/49 - p. Solve 92\/7*g**2 + 2 + 22\/7*g**4 + 2\/7*g**5 + 68\/7*g**3 + x*g = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23861*w**2 + 100*w**3 - 23861*w**2 + (w**3 - 5*w**3 + 3*w**3)*(5 - 2 - 1).\nAnswer: 98*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (119076\/24 - 6) + 2\/4. Let z = -3017 + p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1622 - -1659. Calculate the remainder when m is divided by 0 + 0 + 0 + 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 8*h - 2*h**2 + h**2 + 22*h + 21*h.\nAnswer: -h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2145 and -14\/33.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070451227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 4, 2894, 0, 1, -4, -5 in descending order.\nAnswer: 2894, 38, 4, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2932775 is divided by 1058.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2396010 is divided by 3915.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-208649)\/(-164) - 9\/(-12). What is the greatest common factor of h and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 23 + 81)*(-8*c**2 - 120*c**3 + 26*c**2 + 118*c**3)*(-c + 3*c - 3*c).\nAnswer: 40*c**4 - 360*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**6\/180 - i**3\/6 - i. Let j(f) be the second derivative of t(f). Let w(s) = -3*s. What is w(j(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 704. Let l(c) be the third derivative of -c**4\/8 - 59*c**2 - 1. Give l(n(x)).\nAnswer: 6*x**2 + 2112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -2.2517781075.\nAnswer: -24.7482218925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 + 1344 = 13*r. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let b = q - -31. Suppose 4*z = 25 + b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006748885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 11*h**2 + 24*h + 18. Let k be o(-13). Suppose -3*v + 4*l - 33 = 26, -5*l - 120 = 4*v. Let c = k + v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**35)*f\/(f**(2\/7)*f*f))\/(f**(2\/5))**37)**(2\/19) assuming f is positive.\nAnswer: f**(-3506\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -r - 29, 0 = 2*x - 3*r + 5 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/52, 1, 2\/5, -2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38967 is divided by 2292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s - 4*s. Suppose -d + 6*d - 25 = 0. Suppose -d*y = 2*k - 84, 4*y - 61 = k + s. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1. Let s(n) be the second derivative of -2*n**3\/3 + 9*n**2 - 6*n. Let a(v) = 8*m(v) - s(v). What is the first derivative of a(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-99) + 57\/11. Suppose -d + k*d = -136. Let q be (-106)\/d + 8\/(-68). Solve 3*l = -15, -2*b - 2*l - 7 = -q*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*l*v**3 + 3*l*w**3 - v**3*w**2 - 3*v**3 - 4*v*w**3 wrt l?\nAnswer: -11*v**3 + 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:17 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50b5 (base 12) to base 10.\nAnswer: 8777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 5*n + 2. Let z be g(4). Suppose 0 = 3*i + 9 + z. Let t be 2*(-1)\/(1\/1). Sort 5, t, i in ascending order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.70831 to one decimal place.\nAnswer: -71.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -251401145765 and -7.3?\nAnswer: 251401145757.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -4*g + 369, 19*g - 3*r = 17*g + 147. Calculate the remainder when 575 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 + 4978*j + 24 - 4976*j)*(j**2 - j + j).\nAnswer: 2*j**3 - 105*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50.2 + 50. Let w = -28 + 25. What is the closest to r in w, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 0.05 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 21 - 13 + 6*c**3.\nAnswer: 6*c**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -56. Let o(f) = -73*f + 55. Is 10 a factor of o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 139. Let r be g(-21). What is the highest common divisor of 374 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, q: 2, p: 1}. Give prob of sequence sp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 k when four letters picked without replacement from iiikkkkkkkkkkikkik.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 18. Let h = -30 - k. Let w = -7 - h. Solve 5*c - w = -33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 - -244.8. Let d = g + -68. Which is greater: -23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*b + 17*b + 37*b to the form r + d*b and give d.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141388298*a**3*b**2 + 16871*a**2 - b**2 + 1147 wrt a.\nAnswer: -848329788*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1509 - -2634. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g. Let f(n) be the third derivative of -n**6\/120 - n**5\/60 + 2*n**2 - 3*n. Give f(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/11)\/((q\/(q*q\/(q\/q**29*q)*q))\/q) assuming q is positive.\nAnswer: q**(336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -597*c + 2340*c + 2522*c + 501*c as p*c + n and give p.\nAnswer: 4766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3543 (base 16) to base 6\nAnswer: 143043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254 and 9741336.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8483 is divided by 1087.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, i: 4, m: 4, g: 3}. What is prob of sequence cgim?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28217665*y**3 + 97191*y + 155 wrt y?\nAnswer: 169305990*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 29 - 5 = 0. Suppose 0 = -2*c + l*m + 55, 7*c - 125 = 2*c + 5*m. Suppose -c = y - 100. What is y rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 64 - 1)*(10 + 0 - 4)*(-4*p + p + 2*p).\nAnswer: -252*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 11 - 6*u**2 - 9*u**2 + 11.\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -680*r**3 + 2*r**2 + 10*r + 8. Let t be f(-1). Let n = t - 588. Which is bigger: n or 453\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 + 4.16. Let p = -3.65 + j. Let h = p + -0.477. What is h rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 12, 3, -16, -45, -84?\n\"Answer: -5*q**2 + 16*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:57 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, -11, -46, -91, -152, -235, -346, -491?\n\"Answer: -s**3 + 4*s**2 - 36*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 22. Which is the smallest value? (a) -2\/3 (b) p (c) 0.5 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - (-248)\/14. Let o be ((-2)\/c)\/(6\/(-9)). Let l be 3 - 2 - (-2)\/(-6). Sort o, l, -2 in decreasing order.\nAnswer: l, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2 + 1)*1. Let n = 9 - s. Let q(j) = 13*j + 52. Let l be q(-3). Solve -k - 4*h + l = 4*k, n = 5*k + 2*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -421.7781\nAnswer: -1687.1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 128247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 139781.769 rounded to the nearest one thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1946, 1941, 1946, 1973, 2034?\nAnswer: 2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 + 732. Let z = -416 + q. Are z and -18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2574, 5105, 7638, 10173?\n\"Answer: g**2 + 2528*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n - 17*n + 9*n + n**2 + 4. Let q(j) = 2*j**2 + 9*j + 9. Let u be (-10)\/(-4)*(-64)\/40. Give u*q(c) + 9*y(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.8 + -1937743644?\nAnswer: -1937743699.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-189)*((-3)\/4)\/(2745\/(-854))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2 - (-5 + 5)). Let f(r) be the second derivative of -r**2 + 0 - r + n*r**3 - 1\/12*r**4. What is the first derivative of f(k) wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 293 * 124976.\nAnswer: 36617968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120890893 is divided by 76320?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7 + 9 + 585*c in the form o*c + j and give o.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 1 + 6 - 4)*(-5 + 584*k - 29 - 586*k).\nAnswer: 4*k**2 + 66*k - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -180, -179, -178?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*j + 23. Let x(d) = d**j - 6*d + d + 2*d + d - 16. List the prime factors of x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 37*m**3 + 6*m**2 - 4*m + 2. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58575*l + 114649 + 16652 = -60196*l for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000816044 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 23 - 388*f**2 + 12 - 20*f**3 + 388*f**2.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - (3 + 0) - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16165 and 30?\nAnswer: 96990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, t: 1, w: 2, p: 1, c: 1}. Give prob of sequence sc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -16\/3 + 8*n - 4*n**2 + 2\/3*n**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(48) - sqrt(36)\/(sqrt(36)\/sqrt(3)) - ((sqrt(75) - (sqrt(75) + 0 + 3)) + sqrt(75))) + 4)**2.\nAnswer: -420*sqrt(3) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11505*x + 42*x**2 + 11505*x.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1957700 to the nearest 10000.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21 = h + 45, -2*c + 137 = 3*h. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -13. Suppose -b - c + 8 = 4*c, -5*c + 20 = a*b. Let s(f) = f**2 - 8*f + 13. Let o be s(5). Is b >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a)**36*(a*a\/((a\/a**0)\/a))**(4\/5) assuming a is positive.\nAnswer: a**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.26455 in 5, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.92 + 15.12. What is the third biggest value in 1\/3, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5, 13, 4699948?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3*x - 1879*o**3 + 673*o**2*x + 10*o*x - 129*o with respect to x.\nAnswer: o**3 + 673*o**2 + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 14. What is the units digit of 10\/(2*3\/n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.847 to zero decimal places.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/70 + (-2 - (-11)\/7). Let q = 44.25 + -46. Let c = -0.75 - q. What is the closest to 1\/3 in c, s, 31?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96\/983 + 3452\/4915. Suppose -12\/5*u**3 + 8\/5*u + 0 + 4\/5*u**4 + 4\/5*u**5 - b*u**2 = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 2)**2 - (sqrt(12) - (sqrt(12) - sqrt(48)\/sqrt(4)) - sqrt(3)).\nAnswer: 19*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x + 168539 = 10*x. Is 181 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19709615 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 4*y**2 - 7*y + 8. Is j(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -211 + 36. Let g = -70 - v. What is the greatest common divisor of g and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2 + 155*x - 154*x - 6. Let n be r(5). Suppose -2*y + 3 = -n. Solve -y*d - 4 = 4*l - 6, 3*d = 3*l + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i**3 + 0*i + 0 - 2\/15*i**6 + 0*i**5 + 29\/12*i**4 + 22*i**2. Find the second derivative of r(p) wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 216\/23 (c) -1 (d) -2\/5 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 5 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -21*f**2 + 1499*f - 133. Determine c(71).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 12)*(-2*t + 0*t + 37*t + 7*t).\nAnswer: 210*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/((v*v*v**(5\/7))\/v)*v*v)**(1\/24) assuming v is positive.\nAnswer: v**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 - 6*l**4 + 45*l**3 + 24*l**2 - 204*l + 144 = 0.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 30122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14003 + -13951.976. Let b = 0.024 - k. Let q = b - -49.75. What is q rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 574.2131l?\nAnswer: 574213.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 739*u + 980*u + 2211*u as q*u + k and give q.\nAnswer: 3930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 113493.0249 to the nearest 1000.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3, -0.3, 60\/11, 3, -8 in increasing order.\nAnswer: -8, -3, -0.3, 0.04, 3, 60\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/944 and -79\/8.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-5 - -7) - -1932 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-40)*16*5\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 2162745?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:50 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114813061507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4643986 + 5?\nAnswer: -4643981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**2 + j**4 + j**4 + 0*j**4 + (-2*j + 1 - 1)*(1 + j**3 - 1) - 5*j**3 + 5*j**3 - j**4.\nAnswer: -j**4 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1801 + -1477. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 17*h + 3*k - 14244, -2374 = -h - 5*k. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 times -2.6\nAnswer: 0.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156350947*x**3 - 238476201*x**2?\nAnswer: -938105682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 - 59)*(-x - x + 3*x).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8870 and 10.\nAnswer: -88700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.3. Let d = f - 0.456. Round d to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86.31 + 1.31. Let d = 85.0000006 + g. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50098 divided by -217\nAnswer: 50098\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.5 and -162616445054.\nAnswer: -162616445052.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20890 = -1817*i - 86313 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35187\/14 + -2506. What is the common denominator of m and 43\/12*(5 - 3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 16 = -2*f, -5596*y - 5*f = -5600*y + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljvk when four letters picked without replacement from hkvkvfkkhkjkhhhflvll.\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 2910504*c + 705919461168.\nAnswer: 3*(c - 485084)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -33, -28, -21, -12, -1, 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -69161 at most -69162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2872566 and 18?\nAnswer: 2872566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273120 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13*h**2 - 2*h + 2. Let u(b) = -474*b. What is u(i(a))?\nAnswer: 6162*a**2 + 948*a - 948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 0*r - 2*r**2 - 5 + 4\/3*r**3. What is the second derivative of c(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-2*sqrt(3)*1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3474894820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109844 less than -624042.858?\nAnswer: -733886.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 9, 3*v - 38 = 5*n - 4. Let c(s) = 10*s**2 + 5*s + 6. Let b be c(n). What is the common denominator of 1\/(-2) + b\/24 and -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.82 + 12. Let z = -0.08 + t. Which is the second biggest value? (a) -4 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -3\/4*p**4 + 0 + 2\/3*p**3 + 0*p + p**2 + 1\/3*p**5. Let x(j) = 0. What is j?\nAnswer: 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433072078547*c**2 - 1 - 21*c + 433072078547*c**2 + 5*c**3 + 1 + 21*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1*sqrt(19) + -3)**2*1 + 5*(sqrt(171) + -2).\nAnswer: -1 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10407 - -17185. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2 - 8. Solve 2*h - 3 = 3*z, h + m = -h + z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**4\/24 - 2*t**2 - 3*t - 498. Let n(g) = 3*g + 3. What is -4*l(a) + n(a)?\nAnswer: 7*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 235509954 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**3 - 4*i**2 - 2*i - 6. Let f(m) = -6*m**3 - 4*m**2 - 2*m - 5. What is 6*f(x) - 5*g(x)?\nAnswer: -x**3 - 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31 times -60055\nAnswer: -1861705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 7*z - 49. Let c(o) = -o + 11. Let d(v) = 2*v - 10. Let h(b) = 5*c(b) + 4*d(b). Calculate the remainder when z is divided by h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262289527?\nAnswer: 53, 4948859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**4 + 5*g**2 - 3*g**5 + 11*g**5 + 2*g**5 + 0*g**5 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 78 - 78)*(3*g + 3*g**2 - 2 - 2*g**2 - 2*g**2).\nAnswer: 2*g**4 - 6*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*w + 20. Let z be (-3)\/w*(-8)\/6. Suppose 0 = -4*m - 5*p - 9, -2*p = 2*m + z + 1. Solve 10 = 2*j - m*s, s = 2*j + 5*s + 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -0.024\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9206\/35 + -859\/35. Let z = 287 + p. Let x = 79 - 713\/9. Which is the closest to x? (a) -0.4 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242587982?\nAnswer: 2, 7, 13, 557, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 30*o**2 - o - 1. What is the tens digit of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/((220\/140)\/((-12)\/126)).\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 949181870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2639)\/(-21))\/(-29)*3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16132467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j**2 + 250*j + 1488 = 0.\nAnswer: -93\/4, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38234177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 18884*h**3 + 1 - 4 - 18862*h**3 - 3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*296\/(-1554)*(-49)\/462\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h + 109. Calculate i(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/17)*t*(t*(t*t**(4\/5)\/t)\/t*t)\/t*(t*t**(-2\/25)*t*t)\/t**(2\/9) assuming t is positive.\nAnswer: t**(16979\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqagagaagaggggaqgn. What is prob of picking 1 a, 1 g, and 2 q?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 d when four letters picked without replacement from dssddhsdsddhsssdds?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:50 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465378670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 1 (b) -2\/1563 (c) 17\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 4*q**2 - 5*q - 4. Let s be r(5). Let h be s\/14 - 32\/(-14). Suppose u - z - 4*z + 2 = 0, 5*z = -4*u + 42. Solve u + 0 = -h*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/2 - 0)\/1. Let g = -6 + 3. Sort g, -5, d.\nAnswer: -5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12)*21 - 2. Let x = v + -8. Calculate the least common multiple of 11 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 5. Let n(c) = c + 3. Let u = 17268 + -17266. Give u*z(l) - 5*n(l).\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 4)*875\/(-14000)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104010 < 104011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = -h, 2*h - 11 = 4*m - 3*m. Suppose -h*z + 40 = -32. Calculate the highest common divisor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f = -4*x + 55, -4*f = 5*x - 69. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 5, 45, 117, 227, 381, 585?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521 divided by 34937?\nAnswer: 503\/4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uykueuuykuuuuuuquuk. Give prob of picking 1 y, 1 k, 1 q, and 1 u.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 35636402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1596129795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:29 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -176*s**2 + 1811*s + 2522. Differentiate q(o) with respect to o.\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j, 3*x - 5*j - 253 + 23 = -2*x. What is the smallest common multiple of x and 1\/((-3)\/(-36)*2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(7320\/36) + 574\/20?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5934 a factor of 1797177213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/4 + 261*o**3 + 82575*o**2\/4 - 8788728*o - 283821120 = 0. Calculate o.\nAnswer: -165, -31, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 141?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 6. Let j(w) = w**2 + 9*w + 12. Let h be j(-8). Let a be 1 + -2 + h - 1. Solve -a*k - 3*q = 5 + z, q = -k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -119 and -52.55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/1325 + -120639\/10600. Find the common denominator of r and (-5)\/16 + 0 - -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t*t*t**(-2\/17))\/t)**44\/(t**21*t**(-23)))**(-23) assuming t is positive.\nAnswer: t**(-50370\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212997268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*q*u + 2*l*q + 5999*l*u**2 + 8*l + q - u**2 + 724 wrt u?\nAnswer: -l*q + 11998*l*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 1 - 1)*(n**2 + 2*n**2 - n**2) + 3*n**3 - 6*n**3 + 5*n**3 + 0*n**3 - 3*n**3 + 8*n**3 - 5 - 2*n**3 + 5.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 7*m**4 - m**4)*(3 + 0 - 2)*(m - 5 - m + 2*m).\nAnswer: 6*m**5 - 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = g + 143 + 140. Solve -56*r - f = -59*r - 4, g*f = -2*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/(-3) + (-16)\/6. Which is the fourth smallest value? (a) r (b) -0.1 (c) -1\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18720859 or -18720852?\nAnswer: -18720852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703 is divided by 3670.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 220 = 0. What is the remainder when x is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1056\/(-15))\/4)\/(12\/(-60)). Is v < 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = 0, 4*l + 39*b + 30 = 37*b. Let d(o) = 7*o + 36. Give d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0659783 - 0.0659. What is x rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - m - 6, 3*n - 5*m + 0 - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287993 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + (8 - 1) + (13 - 28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 4. Let c be l(-4). Let t(i) = i**2 - 6*i + 12. Let x be t(6). Suppose -c*f + 0*f = -x. Calculate the highest common divisor of 27 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-1 + 3 - 1). Suppose 2*g = -b*g - 10. Let i(u) = -56*u**3 + 28*u**3 + 4*u**2 - 163 + 163 + 3*u + 31*u**3. Calculate i(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -75.6 (b) -5 (c) 1\/7 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*c**4 - 10*c + 0 - 43\/3*c**2 - 14\/3*c**3.\nAnswer: -c*(c + 1)*(c + 3)*(c + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101101110110010 + 10?\nAnswer: 10101101101110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.3187 + 41741.07.\nAnswer: 41761.3887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 1\/16*x**4 + 1\/20*x**5 + 0*x**2 - 1\/24*x**3 + x + 0. Factor t(c).\nAnswer: c*(c + 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542604667?\nAnswer: 17, 90741451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3873 divided by 4?\nAnswer: -3873\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 6062, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*k)*(-606 - 386 - 679 - 720) as v + h*k and give h.\nAnswer: -4782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 138567 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -350?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*v + 29 + 57 - 86.\nAnswer: -311*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 63*d = -59*d + 5, 0 = 3*h + 2*d - 11. Which is the closest to -1\/4? (a) -4 (b) h (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 55*s**2 + 5*s + 116. Calculate the smallest common multiple of 4 and k(30).\nAnswer: 9532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/122 - -2653\/2074. Let a = -22896601\/102 - -448917\/2. Let c = a - m. Find the common denominator of c and -7\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yytf when four letters picked without replacement from {a: 2, y: 5, l: 1, f: 4, t: 2}?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199*w**3 + 111*w?\nAnswer: 1194*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148445 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 199844835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 12.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -109 + 67 - h**4 + 4*h + 64 as f*h**3 + s*h**2 + i*h**4 + t + k*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51579 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 + 15*l. Let b be i(-5). Round b to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*g - 300 = 319*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 + v. Let b be r(2). Suppose 0 = b*u + u - 93. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 762. Let g(l) = 22*l - 2. Calculate t(g(r)).\nAnswer: -66*r + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a**3 + 4*a**2 - 5*a**3 + 21*a**3 - 2 - 384*a**2 as c*a**3 + w*a + q + i*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 24*q**3 - 14*q**3 + 44*q**3.\nAnswer: 6*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2550*i**3 - 3443*i**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 891359 + -8873379\/10. Let x = 8139\/2 - c. Solve -2\/5*l**2 - x - 44\/5*l = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let m(t) = -t**3 - 8*t**2 - 13*t - 4. Suppose 0*d - 2*d = -6. Let k(c) = d*r(c) + m(c). Calculate the remainder when k(-7) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210808189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 2, o: 3}. What is prob of picking 1 o and 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprrrrrrrpp. Give prob of sequence prr.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0)*-1 - (-1 + 1). Let h be 20\/5 + z*2\/(-4). Solve 0 = -5*c + 8 - h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*c + 320 = 0, 208 = -0*m - 3*m + 5*c. Let i = -39663\/4 - -9849. Let j = i - m. Are 0 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51535 (base 7) to base 12.\nAnswer: -7377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - g + 2 = -3*h, 5*h = 3*g + 2. Is h bigger than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 5*x - 12, 5*f - x = 8. Suppose 19 = -5*w + f*d, -2*w + w + 3*d + 4 = 0. Which is the closest to 1\/2? (a) w (b) 1\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in -12, 0.02, -11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/15360*(-18)\/60*5.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3123010 (base 4) to base 15.\nAnswer: -424a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.1 take away -102?\nAnswer: 80.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 4*q - 357.\nAnswer: (q - 17)*(q + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/13 - 614*a**4\/13 + 43474*a**3\/13 + 325478*a**2\/13 + 711948*a\/13 + 33120 = 0?\nAnswer: -3, -1, 130, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.96663 and 4.22111059.\nAnswer: 3.25448059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 14*o. Let t be c(-17). Suppose -3*x + 118 + 35 = 0. What is the highest common divisor of x and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.72582411 rounded to 2 decimal places?\nAnswer: -3.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(1 - 2 + 3)*(-5*g + 4*g + 27*g).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -98.1. Let s = -4.2 - f. Round s to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138054 and 10507?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 = 15932\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480 divided by 10.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 128 = -748. Solve l = -8*p + 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 40 = -0*q. Let m be (-2542)\/(-18) - q\/36. What is the common denominator of (-1)\/4 + m\/6 and 5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*o + 4 = 9, 5*o = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91662442, 91662447, 91662454, 91662463, 91662474?\n\"Answer: w**2 + 2*w + 91662439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 23*k - 27*k + 10*k**2 - 2 - 9*k**2. Suppose -14 = 4*q - 6. Let i be 1 + -2 + 1 - 3. Let n(d) = -2*d**2 + 5*d + 2. Give i*g(u) + q*n(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -20.4?\nAnswer: 224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2545808, 2545813, 2545818, 2545823, 2545828?\nAnswer: 2545833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 20, 13*t = 51*o - 52*o - 54 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12924 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 37.188. Let j = 0.088 + c. What is the closest to -1\/6 in 4, j, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -14271, 0.63?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.9 - -292.\nAnswer: 284.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 6*i. Let y be u(6). Suppose y = 3*z + o + 16, z - 3*o - 8 = -0*o. Suppose 2*a - 3 = 4*a - 3*h, -3*h + 12 = -5*a. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*g**2*h - 597*g**2 wrt h.\nAnswer: -193*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10) - 1)*(-42 - -67).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*i = -719992, -8*i + 9*i - 2 = 0. Round v to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*m, -6*x - 5*m - 15 = -4*x. Suppose 14 = 3*l + 5*t - 33, 2*l = x*t - 2. Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-7 - -16)*(-4)\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014166619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2324 (base 5) to base 8\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8515031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17867020 divided by 5.\nAnswer: 3573404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 25. Let z be t(22). Let r = z - 80. Is -1 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33697 and 193486?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 17*p - 28 = 0. Let b = 30 + p. Solve b = 4*u, -u + 31 = -5*o + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5))**(3\/34)*z**(-8)\/(z**(-2\/3)*z) assuming z is positive.\nAnswer: z**(-4241\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0952438 + 0.0347527. Let h = -0.13 + s. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(1 + (-1)\/5). Let b = f - -26. Let q = b - 36. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 1990*g**3 - 103400*g**2.\nAnswer: -2*g**2*(g - 940)*(g - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 2*m - 5*m)*(1 + 0 + 1) - m - 6 + 6 + (-3 + 1 + 1)*(6*m - 5*m + 6*m)*(-4 - 4 + 3) to j + d*m and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 3*c**5\/5 + 3*c**2\/2 - 2. Find the second derivative of i(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 + 1 + 1240*f - 568*f - 641*f + f**2 to the form g + k*f**2 + b*f**3 + z*f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 21100122222011220?\nAnswer: 21100122222011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3\/(a*a**31))**(-9\/4))**(-2))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.04059 tonnes in kilograms?\nAnswer: 74040.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55799 + 55819. Let m = 10 + -41\/4. What is the third biggest value in x, 0.2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.058 + -3.044. Let u = o + -0.014. What is the fourth biggest value in -5, u, -4\/5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 22. Determine c(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194.97 + -197. Let x = f - -0.03. Suppose 2*r + 7 = -o + 6*r, -2*o - 4 = 2*r. Which is the nearest to 0.2? (a) -0.1 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 3*c**5 + c**4\/2 - 1451*c**2\/2 + 1538. What is the second derivative of q(v) wrt v?\nAnswer: 180*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -25. Let j = a - 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -34990*a**2 - 1574546*a\/5 + 36\/5 = 0.\nAnswer: -9, 2\/87475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-63))\/(5\/(-1140)*-8)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -73. Let x = 172 - h. Calculate the greatest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19660, -39272, -58884, -78496, -98108, -117720?\n\"Answer: -19612*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/6*(-111)\/(-74). Let u(y) be the second derivative of y**5\/20 - y**4\/4 - 5*y**3\/6 - 3*y**2 - 12*y. Calculate u(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/((-5)\/6)*2495. Suppose -s = -5*c - 358. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 - (5 - (-3 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 + -18474?\nAnswer: -18509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 29*p - 12 + 72*p.\nAnswer: 43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/69)\/((-4)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58*((-590)\/413 - (-108)\/56).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -161*x + 32 - 200 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16745313 is divided by 1718.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.142 - -0.1358. What is y rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-338) + 4\/(-26))*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let b(s) = 2*s**2 - 5*s. Calculate b(p) - 6*t(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjw when three letters picked without replacement from tttttjtztjtttwc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + 19. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 10:34 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/(-288) + (-122)\/(-18). Suppose -n*x = x - 16. Solve 0*c = -x*w + 5*c + 33, -3*c = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5072 and 211122?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d. Suppose 3*i + 47 = 4*p - 52, -2*i - 48 = -2*p. Let s be (-1246)\/(-63) - -2*3\/p. Solve 4*z = -d + s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -11. Suppose b = 3*o - r, -5*b + 2*o + 13 = -2. Find the second derivative of b*x**4 + 85*x**3 - x - 85*x**3 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12860, 20607, 28350, 36089, 43824, 51555?\n\"Answer: -2*l**2 + 7753*l + 5109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b + 2*b. Suppose -3*v + 930 = -b*v. Suppose q - v = -5*w, q = -w + 4*q + 78. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200220 + -11?\nAnswer: 1002200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -171174, -171170, -171148, -171102, -171026, -170914?\n\"Answer: t**3 + 3*t**2 - 12*t - 171166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**7\/7 - 7*j**3\/6 - j. Find the second derivative of g(x) wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, -3, -41, -113, -231, -407, -653, -981?\n\"Answer: -2*i**3 + i**2 - 5*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1718 by 5312.\nAnswer: -859\/2656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0039 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l - 104. Determine p(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2563781310.9 less than -1504.8?\nAnswer: 2563779806.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9351145\/104 - -89914. Find the common denominator of 19\/14 and i.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/30 and -49\/1235?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*(6\/16)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2))**(-2)*(t\/(t\/t**(-2\/3)))\/t**(11\/4))**43)**8 assuming t is positive.\nAnswer: t**(-9718\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/18)\/(10\/45). Suppose -y + m + 34 = -27, -s*y = -2*m - 182. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 213745\/(-2635) + (-4)\/(-34). Which is smaller: h or -79?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, 1 f, and 1 n when four letters picked without replacement from uhbfnhb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-10*g + 6*g + 7*g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.988 - -0.012. Let k = x - 21.0000049. What is k rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 20.27898 nanoseconds?\nAnswer: 0.00002027898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860 = 21*v + 902 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -2\/9, -32, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g**2 - g - 1. Suppose 92 = -6*w + 68. Let c(f) = -f**3 - 3*f**2 - 6*f - 3. Let d(u) = w*n(u) + c(u). What is d(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 335716 + 2091*d**2 - 335716 as h*d + k + v*d**2 and give v.\nAnswer: 2091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -4. Let j = i - -6. Suppose -h + 0 + j = 0. Solve -3*l = -h*d - 1, -4*d + 0*d + 6 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from flplzllflplfpplle.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 9 - 9)*(-3*y**2 + 4 - 4)*(5*y**2 + 2 - 2).\nAnswer: 105*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16*p**2 + 406*p + 2. Let u(b) = 85*b**2 - 2029*b - 11. Determine 11*j(z) + 2*u(z).\nAnswer: -6*z**2 + 408*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27241.85 centuries in years?\nAnswer: 2724185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/6 + -2)\/(232\/(-16) - -9) and -61\/363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 6 = -2*h, -4*s + 4701*h = 4704*h + 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2164763 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4)*1)\/(sqrt(60)\/(-1*sqrt(10))) + 1)**2.\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c63 (base 14) to base 4.\nAnswer: -1100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 163 and -9.4.\nAnswer: -1532.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -61*q**2 + 6*q - 5. Let f be k(-9). Round f to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3855953124?\nAnswer: 2, 3, 17, 89, 70793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loo when three letters picked without replacement from xuololllooddvlo?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/2605 (b) 3\/2 (c) 1\/2 (d) 6\/7 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10*p + 15. Let i = -254\/13 - -1752\/91. Let w = 4 + -4.2. Which is the fourth biggest value? (a) i (b) p (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-3) - 464)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5751*s + 17198*s - 7796*s)*(0*s - s + 0*s).\nAnswer: -3651*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.66 + -40. Which is smaller: 36 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636, 602, 558, 498, 416, 306?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 + 8*a - 6. Let z be o(5). Suppose 3*u = -u + z. Suppose 2*d + 2*v - u = 0, 3*v - 46 = -2*d - 2*v. Round d to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.536 to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (5 - (6 - (15 - 4)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 25*d**4\/12 + d - 11. Let b(s) = -84*s + 3*s**2 + 41*s + 43*s. Give b(o(i)).\nAnswer: 1875*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13152362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.35 and -1.99.\nAnswer: 6.6665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(34)\/(sqrt(2) - (sqrt(2) + (sqrt(2) - sqrt(8)))))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 919463027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14414388.02 minus 117?\nAnswer: 14414271.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5659\/632 + -73\/8. Is 0 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -21*k**3 + 11*k**2 - 15*k - 5. Let o(d) = 64*d**3 - 30*d**2 + 40*d + 14. Calculate -8*m(y) - 3*o(y).\nAnswer: -24*y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1\/23)*o**3*o*o**(2\/41)*o*o\/(o\/(o\/o**(-1))) assuming o is positive.\nAnswer: o**(7549\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -22 + 18 + 58 + -29 + 24?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -118. Let y(w) = 1198*w + 21569. Calculate the remainder when j is divided by y(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 12*u**2 - 11*u + 5. Let c be f(-11). Suppose -2*x = -c*a - 42, -4*a + 45 = 3*x - 41. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -410345114?\nAnswer: -410345102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/((-6)\/(-58)*30\/(-45))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:02 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 72*l. Let f(k) = k**2. Determine q(f(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 8*v**2 + 9*v - 2. Let x be l(-7). What is the remainder when 48 is divided by ((-36)\/x)\/((-2)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.773892 - -80.215508. Let o = h - 81. Round o to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1554 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**2*n**2 + 16091*k**2*n - 77*k**2 - 95194*k*n + 9*n**2 - 7 wrt k?\nAnswer: -8*n**2 + 32182*n - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-25))**(-9)*(n\/n**(-17))\/(n\/(n**(-10\/9)\/n)) assuming n is positive.\nAnswer: n**(2159\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*b - 6*b - 7*b)*(0 + 0 - 1) + (0*b - b - b)*(2 + 3 - 3) - 4*b - b + 3*b)*(2*b - b + 2*b) to k + c*b + u*b**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 - z**3 + 1 - 3 - 25*z**2 + 27*z**2 as i + n*z**2 + k*z**4 + w*z**3 + h*z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 611050577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (406*l**3 - 218*l**3 - 211*l**3)*(1 - 1 - l - 1 + 1 - 2*l + (2 + 0 - 1)*(l + 0*l + 0*l) - 5 + 5 - 2*l - 8*l + 9 - 9).\nAnswer: 276*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.417 - -253828868490?\nAnswer: 253828868488.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*5\/(-6) + -1. Let f = 61 + -55.6. Let q = f - 0.4. Which is the second smallest value? (a) 0 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -0*v - 5*v + 39*x - 2391, x - 27 = -3*v + 46 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 - 3119 = -110*s + 474 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -9. Let q(d) = -d**3 + 8*d**2 + 12*d - 23. Let z be q(9). Suppose 0 = -z*m - 2*s + 70, 2*m - h = -0*s + 5*s. Solve -3*x + m = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1017917 and 0.31?\nAnswer: 0.4117917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216081\/19 or 11373?\nAnswer: 216081\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 12) to base 7\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -9. Suppose -5*k + 6 = -2*k. Let u be 2 + k*-1*-9. Calculate the greatest common divisor of m and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 3*b**4 + 2*b**4)*(-1 + 3 + 1)*(2*b - 3*b + 2*b - b + 0 + 0 + (6 - 2 - 3)*(-b - 2*b + 5*b) + 205*b - 281*b + 169*b).\nAnswer: 285*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 9:18 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2 - 76234*g + 533540 = 0?\nAnswer: 7, 38110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (784\/(-490))\/(4\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccckccccccccccckcccc. What is prob of picking 4 c?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10.98 * 41155\nAnswer: 451881.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -182c7b + 2?\nAnswer: -182c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.1 and 8702.0822.\nAnswer: 8705.1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27003 + 27013. Solve h*b - 1087 = -1027 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 54 + 42. Let c = t + -30. What is the smallest common multiple of 14 and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (9 + -6 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106630 is divided by 92.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/3 + 92*a**3 - 272*a**2\/3.\nAnswer: -4*a**2*(a - 68)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73359 and 228228.\nAnswer: 2054052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -83908914 - -9?\nAnswer: -83908905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 19*p**3\/2 - 38*p**2 - 84*p. What is the derivative of f(a) wrt a?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603328 divided by 1714.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617540?\nAnswer: 2, 5, 7, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(54)\/sqrt(6)*1) + sqrt(49)\/(sqrt(567)*-2 - sqrt(567)).\nAnswer: 26*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/39 and 71\/1797?\nAnswer: 23361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1626\/6347 - 62\/577. Sort 22, 14, h.\nAnswer: h, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 23*x + 78. Give k(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/4968 and 5\/4278?\nAnswer: 154008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a - 15*a - 4 + 42*a - 5*a + 4.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36590 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 87*r**2 - 136*r - 26. What is p(45)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -0*n - 2736. Suppose d - 4*f - 456 = -2*d, -3*d - 3*f = -n. Suppose -36*u + d = -32*u. What is the remainder when u is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-501484)\/(-2)*(-14 + (-870)\/(-60)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4892 + -4154. What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11523, 46748, 105445, 187608, 293231, 422308?\n\"Answer: -f**3 + 11742*f**2 + 6*f - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-5)*9\/2. Let u be (1 + 1)*y\/12. Suppose -u*g = -223 - 224. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1159, -1337, -1515, -1693?\n\"Answer: -178*u - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 396\/45 - 4\/5. Let x be (-6*1*7)\/(8\/n). What is x rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + ((sqrt(2) + (sqrt(6)\/sqrt(3))**2)*2 - sqrt(2))*-5).\nAnswer: -32 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h, -3*p + 2*h - 276 = h. Let o = 7 - p. Suppose -3*j - 2*j + 5*a + 120 = 0, -4*j + o = -3*a. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f + 657. Let k be i(47). Which is bigger: k or -12\/179?\nAnswer: -12\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 2*j + 2. Calculate the remainder when y(7) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 - (12 + 27 + -8 + -13).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 770, -641, -3048, -6457, -10874?\n\"Answer: -b**3 - 492*b**2 + 72*b + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 2 - 4*z**3 - 3985*z**4 + 3984*z**4 + 4*z + 10*z**2 in the form k + l*z + c*z**3 + o*z**2 + m*z**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 1107 != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-1\/2))*f*f*f)\/((f**(-2\/9)\/f)\/f)*(f*f**(2\/3))\/f*f**3*(f*f**(-2)*f\/f**(2\/3)*f*f)\/(f**(-1)\/f)**(-31) assuming f is positive.\nAnswer: f**(-905\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*r**3 + 104*r**3 + 109*r**3 + 161*r**3 - 498*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86843.\nAnswer: 86843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12904*c + 12949. Determine u(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4\/2 + 24539*n**3\/2 - 61360*n**2 = 0.\nAnswer: -24544, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 2*x)*(-20*x**2 + 24*x**3 + 20*x**2) - x**4 + 9*x**4 - 3*x**4 to the form r*x**4 + u*x**2 + t*x**3 + c*x + g and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 2)*(-317*l + 17 + 19 - 36) as t*l + c and give t.\nAnswer: 951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -6 + 21 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r + 18 = 22*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*9\/(-6) - (4 + -6). Solve 35 = -f*s + 4*o + o, 3*o - 15 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) -1\/2 (b) -1 (c) -11 (d) 5 (e) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 148636\/22*7\/14. Let b = -3381 + i. Find the common denominator of -35\/2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbukvwuukluuwvkwuuu. What is prob of sequence lb?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(176) + 0 + -4) - (-1*(sqrt(176) + 1) + 2 + -1*sqrt(176))*-1)**2*4.\nAnswer: -1472*sqrt(11) + 4932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85208637.\nAnswer: 3, 28402879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-18))\/((-4)\/456). Find l, given that -22*l**2 - 3 + 10*l**4 + z*l**3 - 31*l**3 - 26*l + 15 = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u. Let o = -60 - 8. Let q = o + 80. Let d(z) = q*z - 14*z + 2*z + 2*z. Give d(p(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -22212?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -1243.55527?\nAnswer: 1244.55527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 8:42 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41b - 5?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b - -2?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) -31 (c) 4 (d) -1 (e) 16 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -435*v**2 - 8. Let x(j) = -5*j. What is n(x(c))?\nAnswer: -10875*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 1163 + 523. Suppose 0 = 3*v - 3, 3*y - 4*v = -8*v + j. What are the prime factors of y?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -17, -28, -43, -62?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86052 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37173396 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16365488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.06, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*f + 168, -s = -4*f - 0*s + 143. Let w = 97 + -14. Suppose 0 = -4*b + w + f. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 67. Which is the nearest to v? (a) 3 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73.97517 and 0.191.\nAnswer: 74.16617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 362560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330849858 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/2 - 705*f**2 + 137468*f - 538560 = 0. Calculate f.\nAnswer: -1584, 4, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -38*j + 137788. Let o(d) = 6*d. Determine o(y(k)).\nAnswer: -228*k + 826728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*d - 2691 + 2691 to the form a*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5279, -1\/3, -2\/7 in descending order.\nAnswer: -2\/7, -1\/3, -6, -5279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -41*z + 1035. Determine b(26).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -16. Solve 0 = -2*p - 2*x + g, -4*p - 5*x + 4*x + 14 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7838 divided by 3919?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 1230 = 11*i - t, -3*i - t + 730 = 0. Calculate the greatest common factor of 70 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -72 - (522 + -501).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 14. Let l be (p\/48)\/(22\/6). Which is the nearest to 2\/7? (a) l (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740846941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - i + 15. Let s = -120 + 174. Let c = s + -46. Is u(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5304 (base 16) to base 14.\nAnswer: -7a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2 + -3) - 0 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*j**2 - 10*j**2 - 106*j**2 - 18*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -26*p**2 - 63*p + 71. Determine u(7).\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 61752.\nAnswer: 802776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -841, -843, -845, -847, -849, -851?\n\"Answer: -2*u - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397 by -1117813.\nAnswer: 397\/1117813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4697 + -164?\nAnswer: 4533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4466\/(-44)*(1 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 109874*d**2 - 109010*d**2 + 12 to v*d + u*d**2 + r and give u.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5*z - 4. Let w(i) = i - 14. Let q be w(11). Determine f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 5*v**2 - 4*v. Let k be x(4). Let a = 730 + -480. Suppose 5*i + 35 - a = k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 10. Let c be 1\/((-15)\/p + 2). Solve c*w - 2 = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11991806 rounded to five decimal places?\nAnswer: 0.11992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3 + (-2 + 3 - 3)*(-4 + 1 + 1) + 3 - 1 - 3 + 4 - 3 - 2)*(4*n + 0*n - 2*n) as s + d*n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 + 4*b - 2*b**2 + 1\/10*b**5 - 1\/3*b**3 + 1\/3*b**4. Suppose o(m) = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let j(g) = 2*g**3 + 9*g**2 + 5*g + 17. Let q be j(-6). Let o = 122 + q. Solve -3*f = 4*n + o - 5, -4*f - n + 14 = u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t - 15. Suppose 17 = 2*g + 3*z, 2*z - 27 = -3*g - t*z. Suppose 2*l + g*m = 14, -4*l + 8 - 2 = -3*m. Solve -u = l*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21631 (base 9) to base 13.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 14. Let b(q) = -2*q - 17. Let r be b(-5). Let o be m(r). Suppose x - 4*h - 12 = o, 0 = -x + 2*h + h + 15. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010111111010000 - 0?\nAnswer: -1011010111111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 129*y**3 - 70*y**2. Let f(j) = -26*j**3 + 14*j**2. Let b(a) = -11*f(a) - 2*z(a). What is the third derivative of b(w) wrt w?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -128*g**2 - 2*g + 8. Let u be n(-4). Let k be 1\/3 + (u\/3 - 1). Let x = -443 - k. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88)*-6 + -6*1*sqrt(88))\/(sqrt(16)\/(2*sqrt(2)) + (sqrt(1152) - 1*sqrt(1152))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.7419 (b) 0.7 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 + 289. Solve 0 = i*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gsgsszssgzkgzs.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9017 - -9018. Does -3\/460 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 + j + 96. Let h be f(0). Suppose -t + 0*c + 3 = 2*c, -c = 0. Suppose -h = -z - t*z. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15822666 by -2.\nAnswer: -7911333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*b - 44, 3*b - 2*l = -7*l - 4. Does 14 divide 106 - (-4 + b - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 90410?\nAnswer: 2531480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -45.77 (c) -138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10880 + -2?\nAnswer: 10879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4347 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -f38?\nAnswer: f39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 + 15804*j**3 + 15602496*j**2 - 15618304*j = 0. What is j?\nAnswer: -1976, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*((-16)\/24)\/(-2). Suppose -3*c = -3*u - o, 4 = -5*u + 3*c - c. Factor -2\/3*l + u + 2\/9*l**2.\nAnswer: 2*l*(l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112112022 (base 3) to base 14.\nAnswer: -b067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4929.\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.46, 4 in descending order.\nAnswer: 4, 0.6, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-24))\/((-89)\/801). Sort y, -2423, -1.\nAnswer: -2423, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5462680?\nAnswer: 2, 5, 37, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22833 - 24165 = -36*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -410, -0.1, -2\/51?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 + 3988*o**4 + 833356*o**3 - 80006692*o**2 + 1652402240*o - 1573232896 = 0.\nAnswer: -536, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r**2 - 7. Let b = 8 - 2. Let v = 15 + -12. Suppose -15 = 2*t + v*t, -3*j - 2*t = b. Determine i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from yyyyyyyyyyssyyyyyyyy?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11621656 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1227*40\/(-48) + 3\/(-6) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27502 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - 100011011?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -1, 1, 6, -3, 18 in decreasing order.\nAnswer: 84, 18, 6, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + a**5 + 0*a**5 + (2*a - 2*a - a + 0*a - 4*a + 5*a + 2*a + 5*a - 5*a + (-a + a - a)*(-2 + 5 - 2))*(-3*a**4 + 4*a**4 + a**4).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 4*f + 76. Let c be m(9). Let l = 18 + c. Calculate the remainder when 391 is divided by l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(156)\/(-1*sqrt(768) - sqrt(768)) + 0).\nAnswer: 5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*i - 16, -12 = 7*b - 4*b - i. Let u = 0 - -2. What is the closest to u in 0.3, -0.2, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1002 = -q + 180, -5*z + 4734 = 4*q. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25769 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*q = 20, 4*d + d = 2*q - 28. Is 22 - (d*2)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*1746\/1080 - -13?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740ba8 (base 13) in base 8?\nAnswer: 12267234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39241.6 tonnes to nanograms.\nAnswer: 39241600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 6*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -25*g + 4. Let c be y(0). Suppose -5*k + 15 = 2*t, -5*t + 11 = 5*k - c. Solve t*v - 4*v + 4*i - 12 = 0, -v + 12 = 4*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 4. Suppose -51*b = -2*b. Determine y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1907684, -1907683, -1907682, -1907681, -1907680?\nAnswer: -1907679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109596193?\nAnswer: 7, 2236657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3. Suppose -4*u - 4*p - p = -13, -10 = -4*u - 2*p. Calculate k(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 8. Let w be m(4). Let c(f) = -f. Let x(b) = -5*b. Let n(h) = -4*c(h) + x(h). Determine n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h)**(-1\/29)\/(h**12*h\/h**(-2)) assuming h is positive.\nAnswer: h**(-2178\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -15. Let j be 9 + v + -1 + 3. Let r(f) = f - 1. Let t be r(j). Is t greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*a**(1\/8)*(a**(-1\/4)*a)\/a**1 assuming a is positive.\nAnswer: a**(-89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrcrnnfarcu. What is prob of picking 1 f and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1801476, 3602958, 5404440, 7205922, 9007404, 10808886?\nAnswer: 12610368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((4\/14)\/((-55)\/(-77))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100505 (base 7) to base 16.\nAnswer: -20e32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + -1 - (-5)\/5. Let h = n - 6. Calculate the highest common factor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 h when four letters picked without replacement from {w: 4, h: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/31)*u*u**(1\/12))\/(u**(2\/15)\/u*u*u*u*u\/(u*u*u**(-2))) assuming u is positive.\nAnswer: u**(-1231\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d**3 - d**2 - 5*d - 9. Let o be w(-7). Suppose 0 = 19*y - 110 - o. What are the prime factors of y?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-73)\/(-4) - (-3)\/(-12). Let g = s - -64. Suppose 7*i = 5*i + g. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3120612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13965 and 152.\nAnswer: 111720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 3, y: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(n**4 - 4*n**4 + n**4) - 4*n**4 + 3*n**4 + 2*n**4.\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*f + 35, -37*f = -4*p - 33*f - 20 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 2*k + 3*k. Let t = -30 + k. Solve t*q = 3*h + 3, -h + 8 = 5*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**3 - u**2 - 13*u + 6. Let z = -484 - -478. Let n(a) = a**3 + a - 1. Calculate z*n(q) - l(q).\nAnswer: -q**3 + q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65371923 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2 - 116*v + v**3 + 56*v + 2 + 57*v. Is w(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2\/5)))**(-4\/3)\/(l**(-4)*l*l*l**(-5\/4)))\/((l**(-4))**(-42))**20 assuming l is positive.\nAnswer: l**(-201373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*l + 16, -3*p - 4*l = -6*p - 11. Suppose -p*f = -2*f - 5. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7)\/s)**(-2\/9)*(s**(1\/4))**(1\/2))\/((s*(s*s*s**1*s)\/s)**15*((s\/(s*s\/(s\/s**(-1\/3))))\/s)**(8\/11)) assuming s is positive.\nAnswer: s**(-109225\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9099\/12 + 5\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 5*k**4 + 2*k**4)*(0 + 2 - 3)*(-6*k + 4*k + 4*k) + 2*k**5 - k**5 - 5*k**5.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90221\/2406 - -2\/1203. Find the common denominator of -151\/18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:19 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -211a6 (base 11) in base 3?\nAnswer: -1120022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 10. Suppose 0 = -4*q - x*q + 24. Solve q*c + 9 = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpzp when four letters picked without replacement from {h: 2, p: 2, z: 1, r: 6, s: 4}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcc when three letters picked without replacement from ccccccccccjc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 - 6) - -5 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120353*u**5 + 178*u**2 + 7*u - 4.\nAnswer: 7221180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*s + 1, 1 = 3*s + 9*m - 4*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a*((a**5\/a)\/a)\/a)*a*a\/a**(2\/7)*a*a*a*(((a*a**(-1)*a*a)\/a)\/a)**49 assuming a is positive.\nAnswer: a**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.93826 meters to micrometers.\nAnswer: 55938260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 25*j**2 - j + 25. Let z be 125\/15*(4 + 1 + -2). Let k be v(z). Solve -l - 3 = -k*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6221 in -0.1, 2\/3, -2\/5, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39638 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6658, 53194, 179500, 425458, 830950, 1435858, 2280064, 3403450?\nAnswer: 4845898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**3 - 14*f**2 + 23*f + 62. Is k(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 15.3. Let o = -0.7 - i. Which is the nearest to 0? (a) 5 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7854.683um?\nAnswer: 0.000007854683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -245, -3, -41, -1, -588 in decreasing order.\nAnswer: -1, -3, -41, -245, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*y - 2 - 31*y - 4 + 3 - y**4 to j*y + o + f*y**2 + z*y**4 + u*y**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445263 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 5, 3, -10, 1\/4 in descending order.\nAnswer: 5, 3, 1\/4, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*u = 0, 3*o - 2 = 2*u - 3*u. Let l be 0 + (0 - 4\/(-158)). Are l and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 + 1255*f**4 + 15550*f**3 + 60190*f**2 + 78775*f + 32875 = 0.\nAnswer: -5, -1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -53. Calculate the common denominator of 3 + 4 + j\/(-70)*58 and -22\/53.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 12 = 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(4\/((-96)\/168))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -7. Let g = -602 + 665. What is the highest common divisor of g and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 4. Let y be c(6). Suppose 3*i - 51 = -3*u, 0 = -i + y*u - 2 + 4. Solve -i = 4*t - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10089*y**3 - 136*y**2 + 17*y + 14790. Let a(z) = -3363*z**3 + 48*z**2 - 6*z - 4930. Let c(j) = 17*a(j) + 6*t(j). Differentiate c(r) wrt r.\nAnswer: 10089*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.7. Let l = m - 0.3. Suppose -12 = -2*a + 6*a. What is the smallest value in a, -2, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81.998 + -83. Let s = m + 1. Round s to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 0, 2*k = -3*r + 60 - 68. Put 17\/5, -0.4, r in decreasing order.\nAnswer: 17\/5, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/4, -3, -9, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + -6 + 13 - -10) + 11 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703082?\nAnswer: 2, 419, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 16*g + 18. Calculate the least common multiple of o(15) and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12810224 and 131\/14869010.\nAnswer: 832664560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/587 and -71\/51?\nAnswer: 29937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.949 rounded to 1 decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60*(-15)\/(-60)*-1. Let d(k) = -k + 15 + k - 3*k**2. Let q(t) = -2*t - 1. Let y be q(0). Let r(f) = -1. Calculate m*r(v) + y*d(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0.27, -3, 3\/2 in decreasing order.\nAnswer: 15, 3\/2, 0.27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/3*o**3 + 1\/3*o**4 - o + 0 + 4*o**2. Let f(h) = -h**2 - h - 3. Let w(l) = -6*c(l) - 20*f(l). Factor w(n).\nAnswer: -4*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 + -2 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 11*m**2 - m + 5. Let b be l(-11). Suppose 2*o + 5*g - 4*g - 102 = 0, b = 4*g. What is the remainder when 94 is divided by o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3586605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35, 2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m - 62*m = -228 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10283077?\nAnswer: 7, 37, 39703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o + x, 3*x - 14 = o - 3*o. Let b = o - -5. Is b smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*p + 317*p - 4656 = -18*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 6, d: 4}. What is prob of picking 2 m and 2 d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 3*y - 5*d + 5, -5*y - 5*d = 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14000 + 2129.7\nAnswer: 16129.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {m: 2, y: 1, a: 1, z: 4, j: 2, d: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/20 + 4 + (-2)\/1. Let k = -0.07 + -0.03. What is the second biggest value in 5, 0, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 5*i)*(0 + 0 + 1) + (-5 + 5 + 3)*(4*i + i + 0*i).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*q - 50, -34 = -2*q - 46 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acaa when four letters picked without replacement from {a: 17, c: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -44698 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9267.581 millilitres to litres.\nAnswer: 9.267581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7260\/31 + 7730\/217. Which is greater: -198 or g?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by (-11 - 160\/(-20)) + 136.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-220)\/(-14) + -4*(-6)\/84.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - (-2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -116, -155, -214, -299, -416, -571?\n\"Answer: -w**3 - w**2 - 15*w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.87*107\nAnswer: -93.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/9 - 134*d**2\/3 + 2650*d - 313750\/9 = 0.\nAnswer: -251, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d + 148*d = 253*d - 26532 for d.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/179134081?\nAnswer: -12\/179134081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12061675 divided by 2412335.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17390 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p - 220. Let o be y(39). Suppose 4*k + o = -3*b + 8, 0 = 2*b + 3*k + 4. Put -3, 3, b, -1 in decreasing order.\nAnswer: 3, -1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 i when four letters picked without replacement from {v: 1, i: 2, y: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -120 (c) 2\/5 (d) 6729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17343404 divided by 22612?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8608*m**2 - 1 + m**3 + 8618*m**2 + 88*m - 104*m. What is s(-11)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/1 - ((-8 - (-5 + 10)) + 20). Sort 2\/11, 566, l in decreasing order.\nAnswer: 566, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.3 and -176.08?\nAnswer: -2517.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -295*w + 129. Give i(-2).\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269212207*j**3 + 2*j**2 + 81*j - 47548.\nAnswer: -1615273242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*m**3\/2 + 163*m**2 + 95*m\/2 - 10549 = 0. Calculate m.\nAnswer: -274\/13, -11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2 and 61\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849246 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 95076562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*b**4 - 28929*b**3 + 566190*b**2 + 556932*b - 38280 = 0.\nAnswer: -1, 2\/31, 22, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 11*l**2 + l - 11. Let z = 1 + -10. Is f(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 + 126 = -9*i + 114 + 119 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 9}. Give prob of sequence xk.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 3*g + 11. Let p(t) = 3*t**2 + 3*t - 11. Let c(b) = -5*p(b) - 6*r(b). What is the tens digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-11 + (3 + 46 + -9 - -18)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16126 = 213*r - 44*r - 28125 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-83 - 25) - -8.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let v = 0.53 - -0.07. Let i = v - 1.1. Which is the nearest to g? (a) i (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Let q(h) be the second derivative of 1\/4*h**4 + 0*h**3 + h**x - 3\/20*h**5 - h + 0. Let t(r) = -7*r**3 + 7*r**2 + 4. What is -5*q(u) + 2*t(u)?\nAnswer: u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18663 + 5.23903. Let v = -0.0524 + l. Which is the closest to -12? (a) 3 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*v = 4, -3*p - 4 = p - 4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = g - 2*g. Let a be ((-12)\/2)\/(6\/g). Solve 0 = d + 3*d - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxxoxxooxxoxxxxxo. Give prob of sequence xoo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -61236 divided by -14\nAnswer: 4374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, x: 4, p: 4}. Give prob of sequence pxt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80\/3 - 566\/21. Let l = -3.2 + 3. Which is the second smallest value? (a) r (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose -5*u = -i + 925, -5*u - 2786 = -q*i - u. What is i rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c + 665 = c - c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2831 + 4394. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {z: 2, g: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 11635 = 131*d - 6455 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 872 and 981.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-127)\/((-1)\/(-3) - (-4)\/(-3))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 179, 351, 469, 491, 375?\n\"Answer: -7*u**3 + 15*u**2 + 176*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8316670\/21 - -396131. Let s = o - 99. Let m be (-1)\/(-3 + 2) - 0. Which is the smallest value? (a) -3 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3498 is divided by 578?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2, 29, -920, 0, 9, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d1222 + -62?\nAnswer: 1d11c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1209203980 divided by 302300995\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z**3 + 0*z**5 + 0*z**6 + 0*z**7 + 1\/24*z**4 + 0 - 3*z**2 + 1\/168*z**8 + 0*z. Find the second derivative of d(t) wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20080 equal to 5.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 36*p - 12. Determine b(-5).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 1579.\nAnswer: -1105.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -32.6. Let y = 47292121 - 47292118.40000055. Let u = m - y. What is u rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 297 in descending order.\nAnswer: 297, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*1 + 1 + -2. Suppose g + 3*g = 24. Solve 0 = -g*u + u - y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 33.6. Let t = -0.9 + j. Which is the nearest to -2\/11? (a) -5 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 3, u: 1}. What is prob of picking 1 s and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26421 - -26425. Solve 246*s**3 - 150*s**2 + 0 + 24*s - 105\/2*s**w = 0 for s.\nAnswer: 0, 2\/7, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvhhhhv. What is prob of sequence vvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**1\/z)\/z)\/z)**(-30)\/(z**(-1\/3)*z*z**(-4)))\/((z**(2\/5)*z)**47\/(z\/((z**(-2\/7)*z)\/z))**37) assuming z is positive.\nAnswer: z**(4736\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14306 - -29718. List the prime factors of g.\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 190 = 15*l. Are 54\/5 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046 and 1666?\nAnswer: -76.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 2, n: 2, m: 5, t: 1, f: 1}. What is prob of picking 2 g and 1 m?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 815112119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, o: 3, h: 1, k: 1, m: 2}. Give prob of picking 1 k and 1 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o + 4. Let u(x) = 43*x + 19. Let i(h) = 14*l(h) - 3*u(h). Let m(k) = 1. Give -i(c) - 2*m(c).\nAnswer: 17*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 5*a + 9*a**2 - 11*a**2)*(-5*a**2 - 4*a**2 - 5*a**2).\nAnswer: 28*a**4 - 42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*j**3 + 110*j**3 - 64*j**3.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/52554 and -53\/78.\nAnswer: 683202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*z + 41. Suppose 5*j = 5*v + 57 - 12, z = 2*j - 4*v. Let m be 2 + j - (3 + -1). Solve -p - m = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - k - 270, 432 = -4*c - 4*c + 5*k. Sort 1, c, 2.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/509 - -1009\/1527. Let k = 15 + -18. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z + 5. Let n be q(4). What is the tens digit of 15 + (n - 3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/20 - 1353*m**4\/4 - 6787*m**3\/6 - 10*m + 10. Find the second derivative of s(d) wrt d.\nAnswer: 6*d - 8118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1850 and 50303350.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {m: 5, e: 9, t: 1, n: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*f + 21 = -15, -55 = 5*x - 5*f. Let p be (x\/6)\/((-28)\/63). Sort p, -4\/33, -2\/9, 3\/5.\nAnswer: -2\/9, -4\/33, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/8)\/g)\/g*g**(-5\/9)*g*(g**(-3)*g)**(-1\/12))**(-16) assuming g is positive.\nAnswer: g**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12837684*q**3 - 12629812 with respect to q.\nAnswer: -38513052*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/(-15)*-1*(-70)\/63?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31889725243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 3*y - 26. Suppose 9*s = 81 - 27. List the prime factors of x(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14075 or 14071?\nAnswer: 14071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j. Let s = 35 - 32. Suppose -r = -2*q - 0*r - 9, -s*q + r = 13. Let z(b) = 3*b. Let p(y) = q*m(y) + 11*z(y). Let h(a) = -3*a. What is h(p(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:26 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - s + 2. Suppose 0 = -4*u - 5*x - 4, 22*u + 4*x + 24 = 24*u. Let z(y) = 4*y**2 + 1. Give u*z(a) - 3*r(a).\nAnswer: a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1183 * 1515\nAnswer: -1792245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 50061*n + 750892. What is m(-15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*z + 27 = 0, -5*c + z + 39 = -0*z. Suppose 2*g - c = -0. Suppose b - 6 = 4*k - k, 4*k = g*b - 48. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -40*z - 2. Let o(k) = k - 1. Let l be -24 + (-9)\/(-36)*108. Determine l*o(r) - t(r).\nAnswer: 43*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -21*g**2 + 21. Let h(k) = 1. Let b(t) = -21*h(t) + i(t). Let q(d) = -2*d**2. Determine q(b(v)).\nAnswer: -882*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + 624. Let o = 738 - m. Which is smaller: o or 22?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/50 - -1 - (-12 + 3 - 1424\/160)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -u + 2*k, u + k + 3 = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4821\/3355 + 81\/61. Let c = o - 1\/11. Suppose -2*i - 4 = -0. What is the nearest to i in 2\/5, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.6746 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 1. Let y be b(-1). Let o be -7 + (y - 0) + -2. Does 5 divide (-83)\/o - 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 109 + 38 - 62 = 0. Which is the smallest value? (a) t (b) 120 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 15*y**2 - 13*y + 7. List the prime factors of x(13).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3360, 2640, 1922, 1206, 492, -220?\n\"Answer: f**2 - 723*f + 4082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980112 is divided by 108897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 755 - 750. Solve 3*w + 11 = p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/7 + -1\/7. Let m = -12.7 - -11. Let h = m + 1.6. What is the second biggest value in j, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/30*((-2112)\/1160)\/(-33)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 271721\nAnswer: 163032.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65581 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 37. Let z be -3 + m - 35\/(-20). Sort -27, z, 5.\nAnswer: -27, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwcwwc. Give prob of sequence cw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 23*m**2 + 83*m - 2. What is u(4)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7805089693.\nAnswer: 89, 87697637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 872357.4 tonnes?\nAnswer: 872357400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 1*(-2)\/2. Let x(y) = -7*y**3 + 5. Suppose 5*m - 15 = 10. Let b(l) = 2*l**2 + 7 - 4*l**3 - 6*l**2 + 4*l**2 - 6*l**3. Calculate d*x(s) + m*b(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100704786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21601*h*u**2 - 69*h*u + h + u - 20 wrt u.\nAnswer: 43202*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 46 = 53. Let x be (-6)\/(-6) + 27\/n. Solve -x*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 59, 0.9 in ascending order.\nAnswer: 0.9, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -425.43 to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**5*k)\/(k*k\/(k*k**5))*k**(3\/11)*k\/(k*(k*k\/(k**(2\/17)*k))\/k) assuming k is positive.\nAnswer: k**(2317\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:03 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599250 divided by 6.\nAnswer: 99875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 2*k + 1392 = -3*h, 5*h - 2*k - 1731 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 - 11\/(-2). Let m = 0 + -3. Let d = w + m. Solve -2*c = -d*q - c + 2, -2*q = 2*c + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 69*o**2\/2 + 492*o - 4032.\nAnswer: -3*(o - 56)*(o - 6)*(o + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-12 + -10 + 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49, -102, -157, -214, -273?\n\"Answer: -x**2 - 50*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44068 divided by -44068.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 446208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 3.71541.\nAnswer: -1.857705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 10*x**2 - 9*x - 12. Suppose -30*f - 84 = -474. Calculate the remainder when f is divided by o(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.25 + -2.03. Let i = 2.2 - k. Let v(u) = 4*u**3 - u**2 + 3*u - 1. Let j be v(1). What is the smallest value in i, j, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58837.66 rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -22657130 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10133 (base 11) in base 8?\nAnswer: -34716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 - 7*y**4\/6 + 8*y**3\/3 - 9*y**2 - 3*y. Let d be w(13). Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:03 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-260)\/(-585) - 16\/(-18). Which is the fifth biggest value? (a) p (b) 3 (c) 0 (d) -1\/7 (e) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2450 - 1188. Let i = s + -622. Suppose 3*w + 151 = i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (22 - 21)) + (0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2934855 is divided by 226.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = 10*s, 135*s + 4*x + 16 = 134*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30141 or -90424\/3?\nAnswer: -30141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*f**2 - 163*f**2 - 168*f**2 - 33*f - 172*f**2.\nAnswer: f**2 - 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 1. Let x(d) = 20 + 17*d + 19*d + 24*d**2 - 8*d. Let l(h) = 20*i(h) - x(h). Factor l(q).\nAnswer: -4*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 1. Suppose 5*h + 32 = 2*x + 7, 0 = 4*x. Put 4, h, p in decreasing order.\nAnswer: 4, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**5 - 4*m**4 - 12*m**3 + 4*m**2 - 3*m**5 - m**5 + 8*m.\nAnswer: 4*m*(m - 2)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -11 - -12 - -13 - 26 - -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*k**2 - 8550077*k + 450004.\nAnswer: (k - 450004)*(19*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 440463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-4)*w*w*w**(7\/5)*w*w**(-1)\/w**7 assuming w is positive.\nAnswer: w**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 - 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22618 or -1010?\nAnswer: 22618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1610 (b) -2\/7 (c) 6 (d) 1.2 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23\/7 (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*i**4 - 3*i**3 - 6*i**2 - 2.\nAnswer: 2040*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4930876, 19723509, 44377898, 78894043, 123271944, 177511601?\nAnswer: 241613014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65557, -127416, -189263, -251092, -312897?\n\"Answer: z**3 - 61866*z - 3692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51643 (base 7) to base 16\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(3 + (sqrt(15)\/sqrt(3) + -5)*-6 + -3) + -5))**2.\nAnswer: -34800*sqrt(5) + 102100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16430, -12, 0 in ascending order.\nAnswer: -16430, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -61*n**3\/6 - 2*n**2 + 6*n + 1. Let m(h) = -h. Give i(m(b)).\nAnswer: 61*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(3*r**2 + 0*r**2 - 4*r**2) - 4*r**2 + 2*r**2 - 3*r**2 in the form i*r**2 + p + s*r and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1956 - -29?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 + 0*q**2 + q**2 - 7*q**2 + 22*q**2 + 22*q**2 + (-5 + 2 + 2)*(3*q**2 - 2*q**2 + q**2) - q**2 + 5*q**2 + 2*q**2 + q**2 + q**2 + 0*q**2.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1870021453 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvqyvq. What is prob of picking 2 q, 1 v, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-5\/4))*(y*y**(-7)*y*y)\/y*(y**(-7\/3)*y)\/(((y\/y**(-11\/5))\/y*y*y*y)\/y) assuming y is positive.\nAnswer: y**(-707\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66314\/43, 0.06, 1.\nAnswer: -66314\/43, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*l**3 + 319*l**3 + 222*l**3.\nAnswer: 379*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/(1 + 0). Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0 + 0*a - 1\/24*a**4 - 2*a**2 + 0*a**3. Let d(x) be the first derivative of -x**3 - 2. Calculate q(d(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -113*n**2 + 666*n - 130. Calculate t(6).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7223, -13797, -20371, -26945, -33519, -40093?\nAnswer: -46667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 76419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/4)*(k\/k**(-1\/19))\/k*k\/k**(-6)*k*k**(-15)*k*k assuming k is positive.\nAnswer: k**(-433\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17329 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (7 + (-7 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208193 - 209158.911. Let r = m - -1063.8892. Let f = -98 + r. Round f to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 - -1) - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 557919371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*l + 279*l + 101*l + (-1 + 2*l + 1)*(-4 + 7 - 4) + 5*l - 13*l - 4*l as a + d*l and give d.\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + 14. What is the first derivative of -3 + 106*h + k*h - 19 - 58 wrt h?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o - 4 = 3*y, 0 = -3*y + 3*o - 9. Suppose -y*l + 12 = 6*p - 2*p, 2*p = 6. Let h(w) be the first derivative of w**2\/2 - 3*w + 1. Calculate h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/177 and 77\/1770.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8479, -16822, -24969, -32920, -40675?\n\"Answer: 98*p**2 - 8637*p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-70)\/25*5*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -995*j + 1349 wrt j?\nAnswer: -995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107.9999735 - -108. Round x to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(363) - sqrt(363))**2 + 1.\nAnswer: 29404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3648256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 3, 37, -3.\nAnswer: -3, 3, 37, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - 220. Let n(y) = y**3 - 5*y**2 + 5*y - 4. Let f be n(u). Let v be (2\/4)\/(8\/64). Solve -l + f = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.04, -0.4, -0.3, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -37 - 31) + 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10292 is divided by 206.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*s**3*t**3 + 35*s**3 + 2*s**2 + 2*s*t**4 + 19*s wrt t?\nAnswer: 180*s**3*t**2 + 8*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2387, 3, -3, -7, 114 in ascending order.\nAnswer: -7, -3, 3, 114, 2387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23*i + 2 + 10*i + 10*i + 0*i. Suppose -4*c = 3*l + l - 36, -4*c + 5*l = 9. What is f(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-180)\/8)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -247. Let s = q - -29. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a**3 - 3 + 1215*a + 1 + 20*a**3 + 26*a**3.\nAnswer: 2*a**3 + 1215*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 7\/3*d**2 + 0 - 1\/3*d**3 = 0 for d.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14029 + -13874. What is the greatest common factor of 3813 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 240, 2128, 7256, 17244, 33712, 58280, 92568?\n\"Answer: 270*b**3 - 2*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29027*q**3 + 29033*q**3 - 1998 + 1998.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 3*k**2 - 5*k + 2. Let a be i(1). Let h be (-16)\/(-3)*(306\/(-12))\/a. Let n = -66 - h. Calculate the remainder when n is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102116567*q - 190207027.\nAnswer: 102116567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3634 is divided by 1458?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4194 is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 15)*2\/(-3). Suppose -3 = 3*j - h*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*u**2 + 2*u**4 + 4 + 5*u - 3*u - 4 in the form j*u**3 + f*u**2 + o + c*u**4 + y*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 20 = 4*z, 3*k + 19 = -155*z + 159*z. What are the prime factors of 1396 - (-5 - z*6\/24)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*q - 135, -52 = 5*b - 2*q - 642. Suppose 0 = -4*o - o + b. What is the units digit of 2 + o - 1\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42954\/11 + 3908. Suppose 0 = 5*w + 100 + 10. Calculate the common denominator of t and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4 + 2. Let x = -2 - -2. Which is the closest to x? (a) -2 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3622*m**2*x**3 - 2*m**2 - m - 5567*x**3 - 27002022 wrt x?\nAnswer: 10866*m**2*x**2 - 16701*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*j*t**2*z**2 - 2*j*t**2*z + 2*j*t*z**2 - 2*t**3*z + 108*t*z**2 - 2*t*z wrt t?\nAnswer: 46*j*z**2 - 4*j*z - 12*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13)\/52 - (-226)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**19\/h)))\/h)**25 assuming h is positive.\nAnswer: h**425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -102, 0, -2\/15, 3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2227.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 1131 - 4*z + 14*z.\nAnswer: z - 1131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*a + 1, -4 = -a + 2*i - i. Suppose 29*s - 30*s + 2 = -p, -4*p = -a*s + 4. Solve -4*h = 2*w + s, -2*h + 1 = -h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/41 (b) -0.3 (c) 541 (d) -3 (e) 3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 23 + 22 = -5*c, 91*t = 90*t - 5*c - 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**3 - s**3 - 3*s**3 + 2*s**3 + 1 to the form q*s**2 + z*s**3 + n + f*s and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1103010?\nAnswer: -1103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (276\/(-18))\/((-3)\/(-9)). Sort 0, 5, q in ascending order.\nAnswer: q, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 132. Suppose -33*u = -j*u - 140. Calculate the remainder when u is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcjcccj. Give prob of picking 3 c.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.6. Let v = -1.42 - -0.9. Let a = 0.02 + v. Put s, 5, a in increasing order.\nAnswer: a, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q*v**3*y - q*v - 201*q*y + 3*v**3*y - v**2*y + 3*v*y wrt v.\nAnswer: 36*q*v*y + 18*v*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, n: 1, e: 4, a: 8, w: 3}. Give prob of sequence aw.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = 61. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -13 + (-49 - -19 - (-1 + 6)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9601 - 9608. Which is the closest to -0.1? (a) 4 (b) v (c) 7 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 3*t - 216, 5*t + 429 = 2*y. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 34\/(-6)) + 46\/(-69). Suppose 1761368 = -l*v + 174561368. Round v to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(((-31)\/310)\/((-60)\/(-25))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224 + 224.2. Put -0.1, 18, k in decreasing order.\nAnswer: 18, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 214\/4 - (-2)\/(-4). Let h = x + -25. Suppose 3*g - g - 274 = -4*o, -5*o = -5*g - 365. Calculate the highest common factor of h and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r + 5*r + 10*r - 8*r. Let q(n) = 16*n. What is -4*g(t) + q(t)?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -11\/71, 1\/2, -2\/717, 1\/3 in descending order.\nAnswer: 1\/2, 1\/3, -2\/717, -11\/71, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*l**2*v**2 - 120774*b*l*v - b*l + b*v**2 - 39605965*l**3*v**2 wrt l.\nAnswer: 4*b*v**2 - 237635790*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1470\/(-588)*3\/5*4\/3. Which is the nearest to -0.1? (a) q (b) -1 (c) -423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 67. Suppose -v = 5*b + v - 323, -u*b + 4*v = -110. What is the remainder when 245 is divided by b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let n = 25 + -23. Suppose -3*q - 5*c + c - 2 = 0, n*c - 4 = -4*q. Let h(j) = j**2 - 4*j**2 + j**q + 11*j**2. Give h(o(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42634.94kg in milligrams?\nAnswer: 42634940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4718*v**2 + 1 + 327*v**4 - 313*v**4 - 4796*v**2 - 4 to t + z*v + u*v**3 + s*v**2 + g*v**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -4, -9, -14, -19?\n\"Answer: -5*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/(1\/(-16)). Let b = j + 40. Suppose -18*p - 12*p = 41*p - 10224. What is the highest common divisor of b and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = 2*v. Let h = 6 - v. Suppose h*q = 6*q - 111. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:38 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -37*l**2 - 18*l - 10. Let m(i) = -109*i**2 - 44*i - 27. Let z(w) = -8*j(w) + 3*m(w). Calculate z(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/10*785\/(-2). Suppose 146 = -4*p - h. Let w = -572\/5 - p. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 19644?\nAnswer: 137508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -117190.12626 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*i**2 - 94*i**2 + 16*i + 43*i**2 + 4*i**2 - 3*i**2 + i**2 + (0 + 0 - 2*i**2)*(-3 + 3 - 2) to the form q*i + d + o*i**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1568 and 8036.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(68)*-2 + sqrt(68)*-2*-4 - (sqrt(68) + (-5 + 1*sqrt(68))**2 + (sqrt(68) - (2 + sqrt(68))) + 5)).\nAnswer: -30*sqrt(17) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 57*t + 208. Let k be c(24). Calculate the highest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7432 + 925*j - 7432.\nAnswer: 925*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + v**2 - 3*v - 5. Give l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*s**3 + 354*s + 98*s**3 + 2 + 384*s**4 wrt s?\nAnswer: 4608*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81466, 162972, 244478, 325984?\n\"Answer: 81506*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 4 + 4 - 591*n + 591*n + 87*n**2 + (-2*n - 3 + 3)*(n - 3*n + 3*n) + 0*n**2 + n**2 + 3*n**2 to c*n + t + r*n**2 and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10184034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - 306*r + 306*r)*(4 - 3 - 4)*(-r + r - 2*r**2).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, j: 5, l: 2, r: 3}. Give prob of sequence jdl.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.57 - -34.43. Let g = 32 - d. What is the biggest value in -0.5, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/405)\/((-6)\/10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, -53\/7, 1\/5, 4, 282 in descending order.\nAnswer: 282, 12, 4, 1\/5, 0, -53\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57673068511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-24)\/(-9))*18\/(-4). Let o(d) = -d + 5. Let t be o(6). Let h(z) = -4*z**3 - z**2 + 1. Let k be h(t). Solve -q*j + 8 + k = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4352, 6488, 12284, 23570, 42176?\nAnswer: 69932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -64*b - 53 - 10 - 2*b**2 + 8. List the prime factors of y(-26).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:15 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 840037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*v + 80, 124 = 18*v - 14*v + 5*q. Suppose -5*n = 20, 3*n - v = -2*r + 8. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -837*r + 833*r + 12, 5*b - 4*r = 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5079630, -5079627, -5079624, -5079621?\n\"Answer: 3*b - 5079633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**5 - 22*b - 9*b**5 - 37*b + 14*b wrt b?\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355929684 + -97\nAnswer: 355929587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26423767031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 3751?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 969964 - 84385825\/87. Let n = 48\/29 - w. What is the second biggest value in 1\/4, -4, n, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256*w + 5656*w + 9731*w - 2196876 = 0 for w.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62273?\nAnswer: 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 0 - (-76 - (51 - 15 - 28))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 13*z = -0*q + q + 15*z + 65, q - 5*z = 197 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*a**3*j**2 - 2*a**3*j + 4*a**2 + 21*a*j - 3*j**2 wrt a?\nAnswer: 240*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(16\/6) + (-29 - -30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16913*k**2 + 17484*k**2 + 24691*k**2 - 42926*k**2.\nAnswer: 16162*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189546867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f. Let z(h) = -6*h. Determine v(z(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/20 + z**3\/2 + 28*z. Let y(d) = d**3 - 2*d. Determine 2*m(g) + 3*y(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8594453 is divided by 665?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*j + 62*j + 27*j.\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6*f + 112 = 0. Suppose -4*v + f + 98 = 0. Suppose -v = 5*p + 7. Which is the nearest to 1? (a) 0.4 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjff when four letters picked without replacement from kqqqqqfkjkfqk.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*k - 33877 = 0, -22435 - 11458 = -3*b + k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 399 - 398 = 0. Suppose -3*n + 2 = -n. Put w, n, -3, 5 in increasing order.\nAnswer: -3, w, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126042443?\nAnswer: 126042443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l + 317 + 516 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 437869+-1.82\nAnswer: 437867.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 n when four letters picked without replacement from {y: 3, j: 4, n: 11}.\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -0.039458. Round o to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1316)\/(-8225)*15\/8*-1*1.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140778 and 243162.\nAnswer: 2674782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -45695474 and 7.\nAnswer: -45695467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -2*n. Suppose n = 3*w - 38 - 70. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -j - 2*w + 4, 3*w + 7 = 5*j. Factor -14\/5*r**3 - 2\/5*r - j*r**2 + 0 - 6\/5*r**4.\nAnswer: -2*r*(r + 1)**2*(3*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 16*q**4\/3 + q**3\/6 - 974*q. Determine o(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1593\/3 - -14) + (-6)\/1 is divided by 448\/5 - (140\/25 + -6)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 10) in base 5?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -11?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7680762.\nAnswer: 2, 3, 426709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.42 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24294154259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2624358 divided by 51458?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-4461614 + 3 - (-8 + -1)). Round x to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/5 - 115290\/(-175). Calculate the greatest common divisor of j and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(110\/224) - (184\/10 - 19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 45650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3 - 245*q + 4773. Let f(p) = -5*p. Determine f(n(z)).\nAnswer: -15*z**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 + (-320)\/(-35))*(-2)\/3. What is the closest to -0.1 in -0.5, -6, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13236*q + 13241*q - 5*d - 30 = 0, 5*q - 2*d = 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 38 (c) 1\/2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 8*w - 8. Suppose -12 = t - w*t. Solve -2*z + 4 = -2*c, 2*z - t*c = -0*z + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -4\/883682701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4713914 + 2912285 = 7*q, -3*q = 3*l - 3268371. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) + 4*sqrt(2058) - sqrt(42)) + (sqrt(168)\/sqrt(4) - sqrt(42))*-4)\/(1*-1*sqrt(486) - (sqrt(486) - (sqrt(486) - 1*sqrt(486)*2))))**2.\nAnswer: 5488\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*j**2 - 51*j**2 + j - 53*j**2 + 71*j**2 to l*j**2 + q*j + v and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361*q + 6637*q + 546 - 275 - 271 to c + f*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f - 54 = 0. Let n = f - 9. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g + 1273. Calculate w(-91).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4013, -4007, -3997, -3983?\n\"Answer: 2*u**2 - 4015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(0 + 1))\/1. Suppose 4*f - w - 152 = s*w, f - 38 = w. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 65. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 * 0.35733.\nAnswer: -1.107723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/10*(7 + (-232)\/16). Suppose -2*j - 2*z = -4, 4*z + 4 = 3*j - 16. Solve 0 = g*f - j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/13 - 2436688*q\/13 + 742181051168\/13 = 0 for q.\nAnswer: 609172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5700*j - 68511. Determine s(12).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 - q + q)*(-3*q + 5*q + 0*q + (-13*q + 6*q - q)*(1 + 2 - 5)) as g*q + v*q**2 + y + x*q**3 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 43. Solve 2*c = q*c - 3*l - 6, 0 = 5*l - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -832 + 2002. Suppose 4*q - 2*m = -0*q - y, -5*q - 1464 = -2*m. Let x = -161 - q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**2 + 755*r**3 - 6*r**2 - 978*r**3 + 520*r - 9496*r wrt r.\nAnswer: -1338*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Let w be (-9)\/(135\/(-6)) - (-24)\/15. Suppose b = j + w, j - 18 = -2*i - 3*i. Solve z = -z - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k - 2*a - 53, 0 = 5*k - 2*a + 67. Let t(w) = w**2 + 5*w - 14. Let i be t(k). Suppose -128 = -3*z + i. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 16 = -5*x, 0 = x + 4*q - 16. Suppose x = -a - 2*a. Solve -w + a = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by 135\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 178 + 755*p - 111 as f*p + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 16 + 120. Suppose p + 6 = d. Suppose -a + d = 3*a. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 5*k + 5*k - 9*k + 2*k - 7540 + 7543.\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 7*j - 16. Let o be r(-7). Let c = o + 93. What is the second derivative of -c*i - i**4 + 33*i + 8*i**4 wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*n + 2*n**2 - n**2 + 5*n**2.\nAnswer: 6*n**2 + 74*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/35 - 1374\/(-7). Suppose 4*k - 196 = -4*y, 2*y + 6 = -0*y. Suppose -5*f = -2*z - c, 5*f - 132 = -2*z + k. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f**2 - 9*f - 2. Let p(r) = 23*r**2 - 17*r - 3. Let l(k) = -11*j(k) + 6*p(k). Let m(o) = -2*o**2 + 3 + 0*o - 4 + o. What is 2*l(v) + 7*m(v)?\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4594 times 139?\nAnswer: -63.8566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*p = 119*p + 22080. What is the greatest common divisor of p and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816, -1119, -1422, -1725, -2028?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + 2*o + 39, 5*u = o - 65. Let n be (8 - 0) + 4\/2. Let g = u + n. Let z(j) = j**3 + 3*j**2 - 4. What is z(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(180) - 1*sqrt(180)*-6)\/(3*sqrt(576)*3).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-5)*g)\/g)**(-15)*g**(-2\/19)\/g**(-2\/15))**(-1\/7) assuming g is positive.\nAnswer: g**(-2444\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-41 + 4) - (0 + -22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 - c. Let r be y(1). Solve -16 = -r*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*m - 5*q, 5*m - 173*q - 20 = -172*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 0) + (1 - -6). Let s be (2 + 0)\/(4\/22). Solve s - 3 = z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 5*n + n)*(36 - 13 + 12).\nAnswer: -70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 41*r - 105 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -42) + -5 - (-1 + (-2 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76867.91m to centimeters.\nAnswer: 7686791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-3 - -1)) + (9 + -7 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.8 (b) 0.1 (c) -3 (d) 0.06 (e) 3 (f) 18 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 1. Let c be m(-1). Let d be (-15)\/c + 3 + 7. Solve -b + 1 = d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 77.87 (b) -0.4 (c) 288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*i)*(-3*i**2 + 3*i**2 - i**2) + 0*i + i**3 + 0*i + (2*i - 4*i + 2 + 0*i)*(-i**2 + 4*i**2 + i**2) to c + m*i**3 + u*i**2 + d*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7920) - -1*sqrt(7920) - sqrt(7920)))\/((sqrt(1715)*-3)\/sqrt(7)).\nAnswer: -20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmspptspmemsptism. Give prob of sequence pi.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -34, -11 in increasing order.\nAnswer: -34, -11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rws when three letters picked without replacement from {a: 3, r: 2, u: 3, w: 3, c: 1, s: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, 14, 66, 146, 260, 414, 614?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 135*r**3 + 8*r**2 - 9*r + 32. List the prime factors of i(6).\nAnswer: 2, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 33*v = -42*v + w - 926, -v = 5*w + 14 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11030212 - 1000?\nAnswer: 11023212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1574, -3181, -4788, -6395?\nAnswer: -8002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 - 241\/2. What is the third smallest value in 4, -2, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 5*k, -1230*v - 5*k + 4 + 5 = -1267*v - 33 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minus 0.126585646?\nAnswer: 285.873414354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506561036?\nAnswer: 2, 17, 139, 53593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 513, 1026, 1539, 2052?\n\"Answer: 513*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*c + 297*c + 1273*c - 15609 = 13263 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320\/3 + 380\/3*d + 55\/3*d**2 - 5\/3*d**3 = 0. Calculate d.\nAnswer: -4, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2423 - 2419. Solve 17 = 4*c + 3*m + 25, -8 = a*c - 3*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61107*f**5 - 94*f**4 + 33691*f**2 - 387*f?\nAnswer: 3666420*f**2 - 2256*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/((r**(1\/10)\/r)\/r)*r*r*r)\/r)\/r*r)\/r*r*(r\/(r*r**(-6)*r))\/r)\/(r*r**(-2\/3)*r*r\/(r*r**(-5)\/r)))**17 assuming r is positive.\nAnswer: r**(799\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 333.1 millennia?\nAnswer: 3997200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 70 = 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-14 - -6)) + (-1 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v + 3. Let y(t) = 4*t + 2. Let z be y(-2). Does 7 divide a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - -0.05. Let y be 30\/40 + (-525)\/28. Let r be 2\/5*(-8 - y). Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 5*d - 2. Let i(y) = -y**2 + 10*y + 4. Let r(l) = 6*f(l) + 3*i(l). Let a(z) = -110*z**2 + 2. Calculate r(a(j)).\nAnswer: 36300*j**4 - 1320*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.592181nm?\nAnswer: 0.0000009592181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 25 = -75. What is the remainder when ((-7)\/(49\/(-2583)))\/(-3 + 27\/6) is divided by r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, -1\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + 15955 - (-7 - -18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + 1 + sqrt(2) + 3.\nAnswer: sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3802789819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 19*f**2 + 3*f + 17. Is m(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 + h - 6. Let b(v) = -v**3 + v**2 + 1. Let d(g) = -2*b(g) + r(g). Determine d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6377*7\nAnswer: -32.4639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -5. Let p be f\/(-4) + 9\/(-2). Put p, 2, 3 in ascending order.\nAnswer: p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 + 4548*m**2 + 45312*m + 72448 = 0.\nAnswer: -2264, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394180711.\nAnswer: 59, 71, 94099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - 2*c**3 + 3*c**4 - 7*c**2 + 6*c**2 + 0*c**2 in the form u*c + y*c**4 + r + m*c**2 + o*c**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -686565000 rounded to the nearest one million?\nAnswer: -687000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.738585 litres in millilitres?\nAnswer: 738.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 6*x - 4. Let o be (-57)\/(-12) + 7\/28. Give n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1489*r + 1387*r - 4733*r - 1 - 2695*r - 5085*r in the form m + z*r and give z.\nAnswer: -9637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.7273 meters to centimeters.\nAnswer: 61472.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*s**3 + 11 - 49*s**3 - 59*s**3 + 230*s**3 - 11.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 38012395\nAnswer: 6\/38012395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -702, -1042, -1378?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2777*n + 2778*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13596, -51656, -115090, -203898?\n\"Answer: -12687*p**2 + p - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -197 divided by -4\nAnswer: 197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2005333 (base 6) to base 15\nAnswer: 1d016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 9:59 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 17 + 56 + -125 + 75\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-17 - -270400)*1. What is g rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from oii?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171) + (-1*sqrt(171) - sqrt(171))) - sqrt(171) - sqrt(171))) - -5*sqrt(171)*2)\/(-5*sqrt(9)*-1*4).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 27*s + 31. Let r be n(-8). Let o(k) = k**2 + 47*k + 158. Let i be o(-45). What is the greatest common factor of i and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 5*t**2 + t**2)*(-2 - 2 + 5)*(30 - 15 + 14).\nAnswer: -58*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 305673.15133 take away 2?\nAnswer: 305671.15133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = u - 5*p, -430*u - 3*p = -428*u - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, 49, 7, -3, -4, -1 in descending order.\nAnswer: 243, 49, 7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1536640 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 29602 = 59*b. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 11*m + 7. Determine b(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 71?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76360*q + 124888?\nAnswer: -76360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-2 - (-4 + 0)). Suppose 0 = -4*j + 4*p - 5*p - 36, o*p - 20 = 5*j. Let z = -3 - j. Solve 3*x = -z*f + 13, f + x = 3*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m - 182 = -596 - 802. Calculate the greatest common divisor of m and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -1 (c) 0 (d) 9\/113 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.315 + -0.035. Let u = l - 0.38. Is u greater than 1\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, a: 3}. What is prob of sequence laa?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5290 divided by 13414.\nAnswer: -2645\/6707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(15\/4)*(v*v\/(v\/(v*(v**(8\/7)*v)\/v)))\/v*v*(v\/(v**(-3\/20)\/v))\/v*v*v**(-24)\/v*v assuming v is positive.\nAnswer: v**(-1047\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 61. Suppose -t = 4*t - s. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 3830.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 + 184460?\nAnswer: 184361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 4722512 and 4722507 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16577 or -301?\nAnswer: 16577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (7 + -11 - -12) - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.05 - 21. Let f = -0.27 + 0.07. Which is the third smallest value? (a) 1\/2 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(-2 + 1 + sqrt(192) + (-1 + 1 + sqrt(192) + sqrt(192) - sqrt(192)) + sqrt(192) + sqrt(192) + 2))**2*-2.\nAnswer: -6146 - 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 1. Let p = -0.02591 - 0.07409. Which is the biggest value? (a) -0.2 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 + 18 - -12) + 10 - (-130 + 1).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/3 - 31538*h + 662200\/3 = 0.\nAnswer: 7, 47300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8336, -16394, -24350, -32198, -39932, -47546, -55034?\n\"Answer: r**3 + 45*r**2 - 8200*r - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 121 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 4\/7, 0.2, -2, 10 in decreasing order.\nAnswer: 10, 4\/7, 0.2, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1328655002 to four decimal places.\nAnswer: -0.1329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/294*(-12)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31523140 (base 6) in base 16?\nAnswer: e2b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(32)\/(sqrt(2)*-2))\/(sqrt(128)*2 + sqrt(128)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4804\/19927 or 0?\nAnswer: 4804\/19927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*o = -216*o - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(3 + -20 - -4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-128)\/(-4032))\/((-4)\/36). What is the fourth biggest value in -9, 1, 2, -1.6, m?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011966 to the power of 1\/2, to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.89 - 47.49. Which is the nearest to 2\/11? (a) 3 (b) -1 (c) -0.12 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339190, -678492, -1018026, -1357906, -1698246, -2039160, -2380762, -2723166?\nAnswer: -3066486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhfxhfhxhhih. Give prob of picking 1 h and 2 f.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 647910, 1295883, 1943856, 2591829?\n\"Answer: 647973*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -p + 36, -3*s - 6 = 3*p - 24. Let n = 11 + -18. Let u = n + s. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, e: 5, w: 2, k: 2, b: 2, x: 1}. Give prob of sequence week.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1305 - -11153?\nAnswer: 12460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**27*j\/(j\/j**21)*j*j\/((((j\/j**(-3\/7))\/j*j)\/j)\/j)*j*j*j**(-1\/12) assuming j is positive.\nAnswer: j**(4409\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 1387, 2915, 4823, 6979?\nAnswer: 9251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**2*q\/(q\/(q**(2\/11)*q))*q*q\/q**1)\/((q**(2\/3))**39)**(-2\/105) assuming q is positive.\nAnswer: q**(1544\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 83*m + 2450. Calculate h(-29).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 2533.\nAnswer: 53193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-378) + (-1)\/15 + (-28)\/(-70).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (134\/5)\/(((-2)\/(-26))\/((-1915)\/9958))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 253075408, 506150816, 759226224, 1012301632?\n\"Answer: 253075408*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 e when three letters picked without replacement from oetljpe.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*f - 5*f - 5*x, -2*f = -2*x + 30. Let m(l) = l**3 + 21*l**2 - 17*l + 48. What is the units digit of m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 725 = 11*x. What is the smallest common multiple of 1 and x?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*d + 28*d**2 - 775*d - 345*d.\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 6*z**2 - 3*z - 14. List the prime factors of w(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(176) + (sqrt(176) + sqrt(176) + (sqrt(176) + sqrt(176) + 0 - sqrt(176)))*2) + 1)**2.\nAnswer: -931395 - 1008*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*l = -2*w + 301*l + 72, l - 149 = -4*w. Solve 64*s = w*s - 54 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 532324\nAnswer: 106464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -545 + 543. What is the closest to m in -4, 4, -216?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 30*f**2 - 3*f. Let q(z) = -2*z**3 + 29*z**2 + 4*z. Let p(m) = 4*l(m) + 3*q(m). What is the third derivative of p(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrr when three letters picked without replacement from zzqqzzrzrzzqqzq?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*p**3 - p**2 - 1344071*p - 38087893?\nAnswer: -42*p**2 - 2*p - 1344071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + -63260?\nAnswer: -63274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2651, -2\/15, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.059789492492 - 197.7.\nAnswer: -197.640210507508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 2. Find the common denominator of -9\/4 and g\/78 + (-1)\/208*-1866.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 14*l**2 - 6*l - 42. Let k be m(-7). Solve -2*j + a - 5 = -k*j, j = a - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*j + 7 = 0, -1 = -u - 2*j + 12. Let h = 6 - u. Suppose -c - 4*l + 6 = -0*l, h = -c + 3*l. Solve -c*a + 5 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6453 = 162*o - 2565 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, n: 2, e: 7}. What is prob of sequence ee?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113874163 is divided by 91760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(3 + 2 - 2)*(-62 + 50 - 29)*(-2 + 1 - 1).\nAnswer: -246*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-36) - (-16)\/3. Suppose 0 = -l + 1, -b = b - m*l - 19. Let j(v) = 9*v - 104. Let w be j(13). Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*n = 2*n + 104, -2*n = 5*t - 144. Calculate the remainder when t is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15\/(-6)*-2 + -4)*669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose 0 = -0*n + 5*n. Solve 3*t - 8*t - 5*y - 10 = 0, n = -g*y - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -511765616, -1023531234, -1535296852?\n\"Answer: -511765618*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i + 5309. Let w be d(-180). Solve 20 = -444*y + w*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641908 is divided by 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 43*q + 27. Let d be k(22). Solve d*w + 10 = -3*i, 2*w = 3*i + 6*w + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 273411892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -302825 divided by 5?\nAnswer: -60565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1*(-48)\/9*3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -20. Let q = 40 - t. Suppose w + q = 6*w. Calculate the lowest common multiple of w and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111293622 - 1310.\nAnswer: -111294932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76284*h**4 - 10*h**3 - 1431086 wrt h.\nAnswer: 305136*h**3 - 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/976?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 607 = 4*t, -4*j = 2*t - 2446. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y\/(y\/(y*y**(3\/5))))**(-26)\/(y**22)**(4\/7) assuming y is positive.\nAnswer: y**(-2806\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 5a12 (base 12) to base 9\nAnswer: 14755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40334.\nAnswer: 2, 7, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 356245 * -3.\nAnswer: -1068735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 12. Let u be s(-8). Let k be 9\/(-21) - u\/(-7). Let j(v) = 251*v**2 - 2*v - 1. Let a be j(k). Calculate the highest common divisor of a and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3847926 is divided by 109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.001 + -8.001. Let z = -7.9999785 - f. What is z rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 43, 2\/13, 2\/9, 0.2 in ascending order.\nAnswer: -0.3, 2\/13, 0.2, 2\/9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9339867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 116.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, -5, 5 in ascending order.\nAnswer: -5, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.75141 rounded to two decimal places?\nAnswer: -35.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**3 + 2*z**3 - 21197 + 21197 + z**3.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58 + (18\/3 - 7). Suppose -55*s + 2 = -q*s. Let i(o) be the second derivative of 3*o**5\/20 - o**4\/6 - o**3\/3 - o**2\/2 + o. Calculate i(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -260.861 and -0.5.\nAnswer: -261.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/70 - d**4\/24 - 6*d**2. What is the second derivative of v(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-10)\/30)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6658?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35769*u**3 - 19768 wrt u?\nAnswer: 107307*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + 49. Let r be j(8). Suppose -2*n + n = 10. Let t be (-3)\/(-6) + r\/n. Is -1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007705099.\nAnswer: 271, 643, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -14. Suppose 2*n - 5*t + t = 74, i*n - 138 = 3*t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -21. Let q be (-4)\/14*(-28)\/r. What is the closest to 0 in 2\/3, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/40 - (-2)\/(-5). Let x = -1 + 1.04. Let o = 0.06 + x. Which is the third smallest value? (a) m (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -17\/6*b**3 + 6*b + 0 + 5\/4*b**4 + 0*b**2. Find the second derivative of h(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12157*-1)\/((-25)\/250). What is p rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/170267 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3303 + 3302. What is the nearest to c in 3, 165, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109899 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(-2*sqrt(112) - sqrt(63)*-1 - (sqrt(28)\/(sqrt(12)\/sqrt(3)) + -5 + sqrt(7)*1)))**2.\nAnswer: -40320*sqrt(7) + 211968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - (-11 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9495873 divided by 531.\nAnswer: 17883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v + 93. Let a be z(-5). Calculate the remainder when (-377)\/(-3) + (-451)\/a + 12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - i. Let k(r) = -r**2 + r. Let x be k(2). Let y(o) = -3*o**2 - 10*o + 5. Let c(d) = x*b(d) + y(d). Does 10 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.12 (b) 2\/13 (c) 1\/6 (d) -82\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -3 + (4 + -2 - -53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1317*f**3 - f**2 + 2*f. Let i(t) = -t**2 + 2*t. What is a(x) - i(x)?\nAnswer: -1317*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3\/z)\/z)\/(z*(z*z**(2\/11))\/z*z)*z**22*z\/(z*z**(1\/14))*z assuming z is positive.\nAnswer: z**(3503\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*l + 259*l + 1109*l + 2*l - 5*l + 0*l + (1 + 1 - 4)*(-3*l - l + 3*l) to i*l + f and give i.\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -26, -37, -62, -107?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23429695 divided by -7115.\nAnswer: -3293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1156 and 698.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/3, -27 in decreasing order.\nAnswer: -2\/3, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(1\/6). Let y(g) be the first derivative of -g**3\/3 + 3*g**2\/2 + 615. Give y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 17*k + 11*k)*(2 - 5 - 1)*(2 - 4 - 3).\nAnswer: 700*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29946403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 38*g**3 + 4*g**2 + 2*g - 1. Let u(s) = 193*s**3 + 22*s**2 + 11*s - 6. Calculate -22*k(f) + 4*u(f).\nAnswer: -64*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y + 28*y - 2*y + 45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)*(s*(s\/(s**8*s))\/s)\/s)**(-30) assuming s is positive.\nAnswer: s**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 325?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + sqrt(7) + sqrt(70)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273668 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 5*c - 5. Let h(u) = u**2 + 7*u - 7. Let p(a) = 7*d(a) - 5*h(a). Let f(i) = 5*i**2. Calculate p(f(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31 minus -1.284?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -0.1963.\nAnswer: -0.1963, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7652736 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26*g + 60. What is j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -324, -773, -1424, -2289, -3380, -4709, -6288?\n\"Answer: -2*k**3 - 83*k**2 + 4*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -550, -559?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14.83 (b) 6 (c) -0.2 (d) 0.5 (e) -17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oohhoooo. Give prob of sequence oho.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 4. Sort n, 4, 3.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 8*i = -22. Let q(v) = 5*v**3 + 3*v**2 + 3*v + 1. Let g(n) = 9*n**3 + 6*n**2 + 5*n + 2. Let x(l) = i*q(l) - 6*g(l). Factor x(a).\nAnswer: (a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/7 - 64836*i\/7 - 525463362\/7 = 0.\nAnswer: -16209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/70*4 - -1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28990 is divided by 601?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**4 - 4*r**4 - 3*r**4)*(-3*r + 0*r - 2*r) + (-2*r - r + 6*r)*(-2*r**4 + 30*r**4 - r**4).\nAnswer: 86*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/154 - (120\/(-21) + 6)\/2. Let z be (-34)\/(-52) - 4\/8. Let r = -31 + 125\/4. What is the nearest to r in -2\/7, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4 = -11, 5*n + 2*y + 74 - 35 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nniininiin.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212220112 + -10?\nAnswer: -2212220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/161279 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:11 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2152 + 2173. Let k(a) = a**3 - 22*a**2 + 21*a + 3. What is k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5522751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18814 - 18816. Let v = 954\/7 - 136. Which is the closest to v? (a) s (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 3*b**4 + 4*b**4 + (-4*b**3 + 5*b**3 - 3*b**3)*(7*b + 17 - 17) + 87 - 87 - 89*b**4 + (2 + b**2 - 2)*(-b**2 + 0 + 0).\nAnswer: -102*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19\/(-4))\/(75\/(-2600)). Let y = -14351\/2 - -7336. Let t = y - g. What is the common denominator of t and -89\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:43 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 88, 1, 3, -1 in decreasing order.\nAnswer: 93, 88, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101101 + -1110000111010000?\nAnswer: -1101111100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - 136\/(-16))*-6. Let o(h) = h + 3. Let p be o(-6). Is t less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 25542?\nAnswer: 178794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 55, 1 in increasing order.\nAnswer: -3, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16838563 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/5 + 48*v**4\/5 - 82*v**3 + 1428*v**2\/5 - 1568*v\/5 = 0.\nAnswer: 0, 2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207140 = 4*c + 3*t, -4*c + 4*t = 3*t - 207140. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -32 + 44 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c - 3. Find a, given that 0*a**3 - 10*a**4 + 11*a**4 - a**c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l**3 + 62*l**2 + 11*l - 41. Let x(o) = -5*o**3 + 22*o**2 + 4*o - 14. Let c(d) = -4*v(d) + 11*x(d). What is c(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:55 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + k + (138 + 208 - 1804)*(-k - 4*k + 3*k) - k + k + 2*k.\nAnswer: 2919*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/7 - 18294*i\/7 - 27889203\/7.\nAnswer: -3*(i + 3049)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6) + (10 - 78\/52)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 49*y**2 + 99*y + 208. Let j be b(51). Solve -59*l + j*l = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -500612 (base 7) to base 12.\nAnswer: -40982","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*g + 10, -23 = -l - 3*g. Let w(h) = 6*h + 8. Let x be w(-1). Let i = x + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3220201880 - -3220201921.00000011. Let t = -76 + 35. Let f = x + t. What is f rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 9.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = a - 6 + 5, -2*i - 4*a - 20 = 0. Let u be (12\/i - 0) + 5. Solve -2*k + 2*y + 16 = -u*y, 0 = 3*k + 2*y + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-2)*n*n)*n)**4\/(n\/n**9*n*n*n\/n**(-2\/29)*n))\/((n*((n**(-11)\/n)\/n*n)\/n)\/(n**(-13)\/n))**(3\/5) assuming n is positive.\nAnswer: n**(2136\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 40 - 32 - 23*l**2 + 90*l.\nAnswer: -26*l**2 + 90*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29889521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 99.85418 hours?\nAnswer: 359475048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 6209\/78?\nAnswer: 6209\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7*y - 2748. Let c = 335 - 331. Suppose -c*d = -y - 1829. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 308 - 305. Let f(a) = 2*a - 11. Let u(s) = s - 6. Calculate w*f(x) - 5*u(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325 + 205. Let f = 171 + j. Calculate the common denominator of (-142)\/3*(f\/(-54))\/(-17) and -5\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7 + 13*c**2 + c**3 - 4 - 2 - 3*c**3 - 6*c. Let u be m(6). What is the units digit of (7\/u - 2) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 520 + -8843\/17. Suppose h = 3*h. Which is greater: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/18 and 64\/2161443.\nAnswer: 12968658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -108. Suppose f*n = -3*o + 2*n + 18, 4*o + 3*n - 24 = 0. What is the remainder when ((-88)\/(-12))\/((-2)\/(-3)) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5550 and 766850?\nAnswer: 85120350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 853169351 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -29891?\nAnswer: -29890.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-33) + 80\/198. What is the third smallest value in -6, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*f + 2*u + 14, f - 3*u - 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -34354017?\nAnswer: 34354020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 218399321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 39312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 3*j - 4*j)*(-2 + 2 - 1) + 2*j - 3*j + 2*j in the form m + b*j and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31, 4, 1 in descending order.\nAnswer: 4, 1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 336 = 0. Suppose 6*p - 591 = 3*p. Let x = o + p. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/3 + -2)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - 0) + 3 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/8, 57, -103205, 0, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.094 + 4.906. What is the nearest to -3 in 0.4, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**8\/6720 + y**7\/1680 + y**6\/12 + 173*y**5\/60 + 9*y**2 - 2*y. Let d(h) be the third derivative of p(h). Factor d(x).\nAnswer: -3*(x - 5)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3557, 3558, 3561, 3566, 3573?\n\"Answer: s**2 - 2*s + 3558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 401594.\nAnswer: 2409564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688419.\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2794 + 4195. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 28*u**2 + 24*u.\nAnswer: 4*u*(u - 2)*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -241\/640 + -3\/128. What is the closest to -5 in w, 0.2, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(250) - sqrt(250)*-1 - sqrt(250) - sqrt(250)))\/(sqrt(90)*-1))\/((-1*sqrt(25)*-1)\/(sqrt(180)*-2 - sqrt(180))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1682.77 - -1693. Let n = o - 10.3. Let p be 1\/2 + (-17)\/18. Is n > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*q - 38. Let n(a) = 3*a**2 - 4*a + 2. Let v be n(q). Suppose -384 = v*l - 1080. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9657 (base 13) to base 9\nAnswer: -31546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 + 3*j + 5. Let h(p) = -p**3 - p**2 - p. Let t(n) = -2*h(n) - z(n). Is 17 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 10, -0.1, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 5*p - 2*p - 4*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2936 and 2202?\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -48. Suppose 5*p = -i + 89, -150 = -0*i - v*i + 4*p. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011412 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 91 = -5*c, -j = 3*c - 75 + 20. What is the highest common divisor of 171 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128798587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003246476426 rounded to 6 dps?\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394275 is divided by 853.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73529 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 16. Let b = c - -136. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 3*t**2 - t + 15. Let z(n) = n**3 - n**2 + n + 2. Let g(j) = -r(j) + 3*z(j). Let d(q) = q - 1. Calculate -6*d(m) + g(m).\nAnswer: m**3 - 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 35.3. Suppose -2*t + 15*r = 12*r + 8, 6*r - 9 = -3*t. Which is the second smallest value? (a) -1\/2 (b) t (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5402181, 21608702, 48619577, 86434812, 135054413?\n\"Answer: n**3 + 5402171*n**2 + n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.123 + -785974\nAnswer: -785972.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 take away 145?\nAnswer: -144.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/9 - 25\/36. Let k be -5 + 4 + (4 - 2). What is the closest to u in -2\/7, k, -1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 43100.\nAnswer: -129300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2)*l*l\/l**(-10))\/((l*l**(2\/11)*l)\/l)**12)**12 assuming l is positive.\nAnswer: l**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:41 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2919 or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o - 190. Let u be b(-13). Let y(n) = 150*n - 25. Let t be y(u). Calculate the greatest common divisor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g + 7. Let w be i(8). What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -10*u + 7*u. Let t = 73 - u. What is the units digit of (120\/t)\/(11\/(-154))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -8\/3, 10, 0.5, -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 191 in decreasing order.\nAnswer: 191, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 13 - 3. Is 3705\/7 - v\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 45*p**2 - 680*p + 700 = 0.\nAnswer: 10\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 247550*n**2 - 45958 wrt n?\nAnswer: 495100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 49*r**5 + 126*r**4 - 577*r**3 + 134*r**2 + 228*r + 40 = 0.\nAnswer: -5, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:08 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 + 1653*s**2 + 7276*s**2 - 305.\nAnswer: 8929*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 258802.082 + -493?\nAnswer: 258309.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(11) + 2)**2 - (-2 + sqrt(88)\/sqrt(8)) - (-3 + (3*sqrt(110) + sqrt(110))\/sqrt(10) + 0).\nAnswer: 35*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**5\/60 + q**4\/24 - q**2 + 3. Let h(z) be the second derivative of o(z). Factor h(j).\nAnswer: j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 182\/15 - (6 + (-704)\/120). Solve g = 4*g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 13. Let r be (-4)\/(-18) + (-2)\/t. Solve r = -4*z - 16 - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*a + 90*a - 5082 = -20*a for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1 (b) 0.5 (c) -7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 122, 285, 608, 1145, 1950, 3077, 4580?\nAnswer: 6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31571*s + 4*s**3 - 9*s**3 - 23*s**3 + 31571*s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -29*1030.7066\nAnswer: -29890.4914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*r - 1 = 3*o + 114*r, -2*r - 8 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(6)\/(-4*-4*sqrt(2) - sqrt(2)) - ((-1 + sqrt(300))**2 + 0 + sqrt(27))).\nAnswer: -300 + 256*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-4 + 3) - -2. Suppose n + 5*b - 63 = -n, -5*n + i*b + 111 = 0. What is the derivative of n - x - 5*x - 23 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25777 = 6*p - 25885 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1, 3, 4 in decreasing order.\nAnswer: 4, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2242 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 411*p - 12726221 + 2558492. What are the prime factors of p?\nAnswer: 11, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038476 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/108 - 7*w**3\/18 - 23*w**2\/9 - 3*w + 256. Factor s(d).\nAnswer: (d - 23)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-1827)*2625 + -90)\/((-8)\/(-66) - 0).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 0.8 (c) 810 (d) -0.3 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(12)*2*6 + sqrt(432) + -3 + -3)*-3*-2.\nAnswer: -30 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 599 + -595. Suppose 5*u + 4*c - 1272 = 3*u, f*u = -2*c + 2520. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 49 = 3*s, -90 = -4*s - 3*f - 28. Let a = s - 38. What are the prime factors of (-4)\/14 + (-132)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3)*4 + (sqrt(3) - sqrt(108)\/sqrt(4)))**2 + ((sqrt(6) - sqrt(24))\/sqrt(2) + (sqrt(3) - (sqrt(6)*-2)\/sqrt(2)))**2)*2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - n - 775 = -5*s, 785 = 3*s + 4*n. Is s 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 6304686?\nAnswer: 2, 3, 1050781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387569 and 2218939.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -145523.65 rounded to the nearest 100?\nAnswer: -145500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/100)\/((14\/(-5))\/(-7))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2195 - -7.92.\nAnswer: -2187.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010111011110010 (base 2) in base 6?\nAnswer: -4245510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + w - 4 = 0, -4*w - 873 = -5*n - 837 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -836 + 2503 - 829 - 540*x - 838 to the form l*x + n and give l.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 11*c**2 - 3*c - 20. Let r be k(-11). Suppose -8*j + r = -59. What is the greatest common divisor of j and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 18 = 4*c, 25 = -5*m - 539*c + 534*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1042.\nAnswer: 1\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o - 7*o + 19*o + 10*o + (2 - 4 + 1)*(3 - 3 - 2*o) - 35*o - 48 + 48.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -16358, -4, 5, -5 in decreasing order.\nAnswer: 5, 4, -2, -4, -5, -16358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*k + 65*k - 935 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -1\/10, 3\/14, 25.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97\/57 + 7\/19. Let w = -0.016 - 3.984. Let g = 5.3 + w. What is the smallest value in o, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 34. Does 10 divide (-154)\/(-8) + 3 - x\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*d + 280, -2*d + 7 = -3. Suppose a = 55*v - 52*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36883 + 36883 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t - 3. Let w(i) = -7*i + 3. Suppose 0 = -28016*c + 28039*c - 138. What is c*h(d) + 5*w(d)?\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofffffffff. Give prob of sequence ffoo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*k + 68, 3*y - 16381 + 16365 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -780*y + 780. Let p be q(1). Factor p*t - 4\/3*t**2 + 2\/3*t**3 + 0.\nAnswer: 2*t**2*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/25, -2, 0, 24\/7, -5\/3892?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -992, -1977, -2972, -3983, -5016, -6077, -7172, -8307?\nAnswer: -9488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x + 1. Let v be h(2). Suppose -i = v*s + 43, 3*i = -2*i + 2*s - 266. Does 30 divide ((-26)\/i)\/(2\/568)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 + 5*a**3 + 7*a**2 + 3*a = 0. What is a?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11, -2\/3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 + -57 - (5 - 18)) + -14\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3906, 8101, 12792, 18225, 24646, 32301, 41436?\nAnswer: 52297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115295*h**3*x**3 - 2*h**3*x**2 + 342*h**3 - 6*h**2*x**2 + 3*h*x**2 wrt x?\nAnswer: 691770*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9669 and 32230?\nAnswer: 96690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:49 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -108725 - 142?\nAnswer: -108867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*s + 41157 + 50688 = 0. What is the remainder when s is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -82*l + 720. Calculate d(6).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 9}. What is prob of sequence fvv?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*2.8447.\nAnswer: 0.170682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*u + 2403 = 93*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 32634756139937\nAnswer: -32634756139937.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 9*g**2 - 6*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 13, 13, -5, -47, -119, -227?\n\"Answer: -f**3 + 19*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 355774019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17864*u**4 - 2*u + 8203.\nAnswer: 214368*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -1 (c) -2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4549.\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 5*x**4 - 2*x**4)*(-3 + 7 - 2) + (4*x - 2*x - 3*x)*(-x**3 - 3*x**3 + 2*x**3) + 2*x**4 + 55*x**4 + x**4.\nAnswer: 62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -165a36d + -3?\nAnswer: -165a371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 8*m**2 - 4*m**2 + (4 - 4 - 3*m)*(3 + 2*m - 3).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 74. Suppose -8*u + 6*u = -5*u. Suppose u = -0*s - 5*s + x. What is the remainder when 14 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22440677 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x - 2*r + 6, -2*x = -2*r + 6. Suppose w = -x*w. Suppose 32 = 4*d + 12. Solve w = -d*j + 5*h + 15, -2*j + 24 = 3*j + 4*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/(-4)*1122\/(-63) + 2992\/(-31416)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199925 smaller than -200027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 31*l - 33. Let m be f(-23). Let h = m - 157. Sort 0.3, h, -1\/3, -2 in descending order.\nAnswer: 0.3, -1\/3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079911143 to the nearest integer?\nAnswer: 32862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -376 - -192.8. Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117348, -234824, -352300, -469776, -587252?\nAnswer: -704728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 104 = k - 6*k, -5*k + 3*y + 103 = 0. Let t = k + 25. What is the greatest common divisor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + 1 + 0*n - 11*n**2 + 2*n. Let m be i(-1). Are m and -8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 10*l**2 + 0*l**3 + 23*l**2 - 4*l**3 in the form r*l**2 + p*l**3 + u*l + g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 16 + 14. Let t(r) = 14*r**m + 8*r + 7 + 1 - 7*r**2 - 15*r**3. Let p be t(-8). Solve -g = 5*f + 14, 4*g + 8 = -p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 52. Suppose -5*y = -3*o - 0*y - 13, 14 = o + 2*y. Suppose -o*q = -0 - 28. What is the remainder when w is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*j = -303*j + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*g - 2*z + z, 2*g + z + 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 + 24 = 0. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 58 (b) 5 (c) -0.3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5474 = 7*o - 3143. What is the remainder when o is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3394625*h + 20367758. Give n(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2)\/((-2)\/22). Let q(f) = f**3 - 6*f**2 - f + 7. Let s be q(6). Let g be s\/((7\/3)\/7). Solve -16 = 3*l + 2*l + 4*o, 2*l - g*o = -x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 119.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32818 and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 13 + (11 + -25 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*g**2 + 762 - 762 to q*g + c*g**2 + b and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {r: 2, n: 1, h: 1, i: 1, w: 2, v: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1410 and 213192?\nAnswer: 1065960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(0 - 2)*2. Put 3, b, -3 in decreasing order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**2 - 37\/3*q**3 + 2 + 8*q. Let r(j) = -2*j**2. What is r(c(k))?\nAnswer: -10952*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Are -7969101\/4 and -1992274 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-36)*-6 + (113 + -95 - 20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 3*p**4\/8 + p**3\/6 + 7*p**2 - 1. Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693197?\nAnswer: 3, 1564399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 5 - 2 + 3)*(1 - 2*l**2 - 1 + (-l + l - 2*l)*(8*l - 18*l - 2*l)) to the form h + u*l + w*l**2 + y*l**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 3824098.\nAnswer: 57361470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/36*(-3 - 18)*(-112)\/14. Let w = -4 + 6. Suppose -w*f + 17 = 5*t, f - 4*t + 0 = p. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/78409 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-21)*(-120)\/1840?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 312266479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) - 8\/2. Let u(k) = -k**3 + k**2 - k. Let y(t) be the second derivative of t**4\/4 - t**3\/2 - 14*t + 216. What is s*u(d) + y(d)?\nAnswer: 2*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 427, 656, 885, 1114, 1343?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220597459\/10967320 + -47\/11960. Let l = -108\/131 + y. Let h = l - 19. Are 16 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 10. Suppose -3*f + 5*f - 4 = 0. Suppose -f*y + 2 + 0 = 0. What is the lowest common multiple of t and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 4*a - 3. Calculate the lowest common multiple of 1 and j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*p - 3 + 3)*(p - 3*p - 7*p)*(6 - 2 - 1) to a + f*p**2 + d*p and give f.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1728003 by -6.\nAnswer: 576001\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89307*i**3 - 6*i + 1839 wrt i?\nAnswer: -535842*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-82)\/(-205))\/((-4)\/(-30)). Factor 68\/5*l**d + 44\/5*l - 4*l**4 - 8\/5 - 84\/5*l**2.\nAnswer: -4*(l - 1)**3*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 - 4*o**3 + 4*o**3)*(3*o + 6*o - 5*o - 2) as c*o**2 + i*o**3 + y + h*o**4 + p*o and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002925541 rounded to 6 decimal places?\nAnswer: -0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.5 (c) -42 (d) 104 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 3*n**3 + 11*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -884 + 887. Which is the third smallest value? (a) -0.16 (b) -0.3 (c) -0.5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18981718 is divided by 1581809.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 5*y**7\/504 - 89*y**6\/180 - 149*y**5\/80 - 85*y**4\/36 - 19*y**3\/18 + 653*y. Let w(a) = 0. What is a?\nAnswer: -1, -2\/5, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2279 = -0*d + 5*d, -461 = -d - 2*m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*p + 297 = 0, 45 = i - 0*i + 4*p. Suppose 64*o - 84 = i*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4097.9878 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 30854375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305349187.\nAnswer: 11, 13, 194119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i - 0. Suppose 0*v + 8 = -4*p + 2*v, 4*p - v = -6. Put i, 3, p in increasing order.\nAnswer: i, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 45 - 52 - 73 - 18 + 50 in the form i*g + t and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 1. Let j = -4 - x. Let b = j - 4. Calculate the remainder when b is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -15, 3*d = -c + 13 - 2. Let p = 62 - c. What is the smallest common multiple of p and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 + 642*y - 89615300\/13.\nAnswer: 2*(y - 4925)*(y + 9098)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbxbbxxxyxxb. Give prob of picking 3 b and 1 x.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*m**3*q**3 - m**3 + 43*m*q - 299*m - 2257*q**4 + 37*q**2 - 291*q - 2 wrt q.\nAnswer: -720*m**3*q - 27084*q**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.088 - -10.388. Let w = -1247013749 - -1247013759.29999806. Let c = w - q. What is c rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8743 - 8740. Solve 0 = -i*p - 1334 + 1358 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000008378 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(-234)\/65 + (-48 - -31).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, b: 4, a: 2}. Give prob of picking 1 a, 1 b, and 1 g.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 4*x)*(-5*x + 0*x + 3*x) + x**2 + 0*x**2 - 3*x**2 + (4*x - 2*x - x)*(-3*x - 2*x + 4*x) - 41 + 41 - 113*x**2.\nAnswer: -118*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/166 - -6191\/1162. Let f = 305\/63 - d. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*6)\/(558\/(-15252)))\/4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82.66 + -83.06. What is the fourth smallest value in -0.1, l, 0, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w*w\/w**12)\/w*w*w**12*w*w assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3213098.37 + -0.047\nAnswer: 3213098.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let a be (1*4\/4)\/(2\/2). Suppose 0 = -h*m + m - a. Is 3\/2 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -54. Are g and -26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 10:41 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4*r - 5)*(-r - 3*r + 3*r) + r**2 - 3*r + 3*r.\nAnswer: -3*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3667*l**2 - 51362*l - 77. Determine v(-14).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 0 - 5 - (4 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-36)*3 + 418\/(-228)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 0*r**4 + r**4 + (-r - 5*r + 3*r)*(3*r**2 - 3*r**2 + r**3).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -4*l**3\/3 - 56*l**2 + 113. Factor x(u).\nAnswer: -4*u*(u + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571755 is divided by 7864.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22967099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 3615282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 0, 26, 3 in decreasing order.\nAnswer: 26, 3, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 4*u. Suppose -14*r = -29*r - 75. What is x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386259 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose -165 = -i*h + 3*v, -75 = -4*h + 2*h - 5*v. Suppose 6*d = d + h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801207 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:09 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ukuukyyuuzyoukk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 (base 4) in base 3?\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52227 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(152) - sqrt(152))*-1)\/(sqrt(88)\/sqrt(539) - sqrt(8)).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 0*f**3 - f**3 + (4*f**2 + 3*f**2 - f**2)*(-2*f + 3 - 3) + (4*f - 4*f - f**3)*(0 - 5 - 2).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*w**3 - 6 + 4 + (w**2 - 2*w**2 + 0*w**2)*((-6*w + 2 - 2)*(3 + 3 - 4) - 2*w - 4*w + 4*w + 1 - 1 - 4*w) to p + q*w**3 + r*w + d*w**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -83. Suppose 0*m = 2*m - c. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:44 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -4. Let q = s - 13. Let w be (2\/(-4))\/((-2)\/(-8)). Is q greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2787 from 7.\nAnswer: -2780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g + 726 - 265 = 165 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvbhkbrchbkvhr. What is prob of sequence vvk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 1. Let c(q) = 6*q - 1. Let b(n) = -5*c(n) - 4*r(n). Let o(a) = 2*a. Let i = 47 - 56. Calculate i*o(j) - 2*b(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.6504 times -965\nAnswer: 627.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13838 + 33524. What are the prime factors of l?\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21886324 is divided by 462?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 10 = -5*m, 68 = -109609177*v + 109609186*v + m for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - -0.32. Sort -2\/11, f, 0.7 in ascending order.\nAnswer: -2\/11, f, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 469*h - 923*h + 452*h.\nAnswer: -2*h - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*b - 3 = 5*b, s + 5*b + 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10*a + 48. Let i be -2 - 0 - (a - -2). Solve -3*t + 3*m - 3 = -6, 0 = 4*t - m + i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -65.537362961 and 0.353.\nAnswer: -65.184362961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*m)*(4 - 2*m - 4) - 3 + 3 - 2*m**2 - 4*m**2 + m**2 + 4*m**2 + 0 + 110*m**2 - 2 - 99*m**2 as a + n*m + b*m**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -33766.51 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 y, and 1 f when four letters picked without replacement from {w: 1, f: 2, g: 7, z: 1, a: 1, y: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from blltlltbbbbbllltl?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - 4.99. Let h = 0.564 + 0.236. Let p = 0.5 - h. Which is the fourth biggest value? (a) p (b) m (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75.3 - -76. Let z be 32\/63 - 8\/28. What is the third smallest value in i, z, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 104714?\nAnswer: 523570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64432867 is divided by 3910.\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - u)*(-2*u**3 + 4*u**3 - u**3) + (-1 + 2 - 3)*(5*u - 33*u**4 - 4531*u**3 + 4531*u**3) to p*u**2 + v*u + o*u**4 + x*u**3 + n and give o.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -303, 1, -0.03, 1.3?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -29*t**3 - 4. Let v(j) = -1. What is 4*m(c) - 8*v(c)?\nAnswer: -116*c**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3754 is divided by 1791?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750861 a multiple of 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/154 - 84\/(-22). Let p be 25\/14 - 4\/14. What is the third biggest value in p, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**2 + 11\/6*j**3 + 0 + 6*j. Give v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8349 + 1290 = -13*h. Is 544 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2608 and 65\/18256.\nAnswer: 18256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -4\/486708293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*3\/(-1 + 4). Let q be (1 - o)\/1 - -2. Factor 4*i**3 + 4*i**q - 2*i**3 - 12*i**2 - i**4 + 8*i.\nAnswer: -i*(i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 849 by 5.\nAnswer: 849\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8140 + 268661\/33. Calculate the common denominator of n and -62\/195.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 + 2*v**2 + 2*v - 2. Let z(t) = 19*t**3 - 13*t**2 - 13*t + 13. Let c(s) = s**3 + 6*s**2 - 10*s + 18. Let a be c(-7). What is a*y(u) + 6*z(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 783\/109 or 8?\nAnswer: 783\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532308 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 5*y = 13*y + 42185. List the prime factors of y.\nAnswer: 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:05 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -369.6 - -370. Which is the nearest to -2? (a) -1\/9 (b) w (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 278451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*n**3 + (0 - 2 + 6)*(4 - 3 + 1)*(0 - 6 + 3)*(-436*n**3 + 230*n**3 + 222*n**3).\nAnswer: -387*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 7 = 2*s. Let d be 6*(30\/7)\/(1\/s). Let x = d + -19. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 38 = 3*z. Suppose -5*s + 3*m + 56 = 0, -4*s - m + 23 + 15 = 0. Calculate the greatest common factor of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3 - 403984689*k*l + 58740748*l wrt k.\nAnswer: -6*k**2 - 403984689*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 12*d - 8. Suppose 0 = -3*n + 8*n - 4*b + 4, 0 = -d*n - 4*b + 4. Suppose n = -4*o + 32 + 52. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 181*v - 60. Let w(a) = a + 15. Let u(r) = -q(r) - 4*w(r). Let b(t) = -3*t**2. Calculate b(u(m)).\nAnswer: -102675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15460000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.83 * 1080.\nAnswer: 1976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, -4, -2 in descending order.\nAnswer: 16, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8608 and 103\/40.\nAnswer: 43040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4764 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a decade in years?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.44 + 0.04. Let v = b + 1.4. Let m = -0.34 - -0.04. What is the third biggest value in -2\/7, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/14062105 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29720751*f**3 - 18652392?\nAnswer: -89162253*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(sqrt(637) + -2 - sqrt(637))**2 + (-3 + sqrt(637) + sqrt(637) + 1)**2)*5*1*-6.\nAnswer: -75840 + 1680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - (-13 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*t = 112*t + 9, -10*t + 90 = 5*o. Solve -4*y - o = 5*i, 137*i - 139*i - 9 = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - ((8 - -27) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*g**3 + 6*g**2 - 3 - 8*g**2 in the form z*g**3 + j + n*g + y*g**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -5*k**3 - 25*k - 2. Let y(z) = 0 + 2*z**2 + 0 - z**2. Give y(i(m)).\nAnswer: 900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**7*k)\/k*k)**49\/(k**10\/(k*k\/(k**(-1\/4)*k*k)*k)) assuming k is positive.\nAnswer: k**(1729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -479, -480, -481?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 20. Let t(b) = -b + 59. Let j(w) = 215. Let m(f) = -j(f) + 4*t(f). Calculate 5*m(k) - 6*q(k).\nAnswer: -2*k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 + -24)*1\/(-12) and ((-3)\/5 + (-6232)\/(-95))\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-11)*(28 - 1). Let z = n + 167\/77. Which is smaller: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -66*o + 423 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216205 = -2*s + 216201, -2*g + 68 = -5*s for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b + 204 = -59*b. Calculate the highest common factor of 34 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(56\/(-3)))\/(60\/(-70)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 223\/3. Let v = -0.1 - -0.2. What is the second biggest value in 1, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-16) + (-1)\/4. Let y(g) = 2*g. Let m(f) = -f. Determine q*y(d) - 3*m(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 28. Let g(t) = 9*t - 84. Let u(n) = 3*g(n) + 8*o(n). Let a be u(-8). Let h = 89 + a. What is the remainder when h is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25147834 or 25147841?\nAnswer: 25147841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 14 (b) 1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5, -2*z + z + 964 = 5*w. Calculate the remainder when w is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 34*k - 568. What is p(15)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, 1651, -25, -12 in descending order.\nAnswer: 1651, 11, -3, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -296, -295, -294, -293?\n\"Answer: q - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 7. Let o(i) = -2*i**2 - 19*i + 13. Let x be o(-10). What is the units digit of ((-1)\/w + 1)*x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3899 and 6857?\nAnswer: 2673.5443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -8a5?\nAnswer: 8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 6*c**2 - 7*c - 3. Let w be y(-7). Let g(x) = x**2 + 2*x. Let a be g(w). Sort 1, 5, a.\nAnswer: 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/(q\/q**(-28)))\/((q\/(q\/(q\/(q*q**(6\/11)))))\/q*q**(-1\/64)) assuming q is positive.\nAnswer: q**(-15797\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = -0*u. What is the third derivative of -6*b**6 + 10*b**2 + 19*b**u - b**6 wrt b?\nAnswer: 1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 0.1078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4913, 19666, 44249, 78656, 122881, 176918?\nAnswer: 240761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -m + 35, 4*m - 2*s - 77 = -7. Let p = -1116 - -1121. Solve -3*j = p*y - 15, 4*y = -2*j + m - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -757.31 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.169.\nAnswer: 0.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.63, -0.4, 1, 2, 1\/6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 6 = 23*g. Suppose k = 2*x - 3*x, 4*x + 12 = -k. Put x, g, -5, 1 in decreasing order.\nAnswer: 1, g, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -584 smaller than -528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 1. Let r(a) = 5*a + 3. Let d(b) = -2*b - 6. Let o(z) = z - 2. Let t(j) = d(j) - 2*o(j). Calculate q*r(i) + 3*t(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 24.962. Let p = -0.071 + n. Round p to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 41 = 9. Suppose -t*f + 119 - 109 = 0. Suppose 5*c = -j + 32, -2*j - f*j + 62 = -2*c. What is the remainder when 66 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15920415.96 and 0.\nAnswer: -15920415.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/413310387 and -23\/22341102.\nAnswer: 826620774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*i - 3*q - 6, 18 = -4*i + q. Let j = 1 - i. Let l(r) = 6*r**2 + r**3 - 4*r - 3 + 0 - 2*r**3. Give l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -97 (c) -116 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 - -331. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {t: 14, s: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -5*(0 + sqrt(19) + sqrt(19)) + sqrt(19) - (sqrt(19) + (0 + sqrt(931))**2).\nAnswer: -931 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 - 40*v - 271. Let m be h(63). Is m <= -18666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100011101100010101101111 - 1?\nAnswer: 110100011101100010101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (1 + 39 + 212 + -221)) + -28?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*j**2*k + 20542*b**3*k + 241*b**3 - 231005*b**2*j**2 + 2*b*j + 10*j**2*k - 15*j*k wrt j.\nAnswer: -2*b**3*k - 462010*b**2 + 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**6\/120 - 7*c**5\/60 - c**4\/6 - c**3 + c**2. Let g be a(-7). Calculate the highest common factor of 44 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.49783 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36185610 to the nearest integer?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24120886 and 5.\nAnswer: 120604430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(6\/16 + 0). Let j = 0 - 15. Let m = z - j. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -147*z + 432 + 597, 4*z + i = 28 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -18154976 divided by -1134686?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/16 - 115\/20. Which is the closest to 6? (a) l (b) 1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83118*x**3 + 15*x + 53370*x**3 - 2*x.\nAnswer: 136488*x**3 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + -3.05. Put q, -1, -5 in increasing order.\nAnswer: -5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -312?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -1022231.\nAnswer: -23\/1022231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -54*n**2 - 1 - n**3 + 30*n**2 + 24*n**2 + n. Let w(q) = 3*q**3 - 4*q + 4. Determine 20*g(v) + 5*w(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnwwylayyayyly. What is prob of picking 2 a and 1 w?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2674381?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 120 = 117 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 357, 266, 177, 90, 5?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -9. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 77685510818970 and 0.1.\nAnswer: 77685510818970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -755896, -755894, -755892, -755890, -755888, -755886?\nAnswer: -755884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00116868314 rounded to 5 dps?\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42630040 - -2731?\nAnswer: -42627309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -175, 5636, -3?\nAnswer: 5636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 97678*g + 3*g**3 + 97683*g - 2 as k + c*g**3 + v*g**2 + a*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771*w**4 + 71914*w**2 + 2*w - 488267 wrt w?\nAnswer: -9252*w**2 + 143828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*p + 42, 14 = 2*p + 2*k - 12. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 65 = 29*i. Let a = 28 - i. Suppose -3*n = -a - 111. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -4\/5*c**4 + 0 - 1\/25*c**6 - 10*c + 0*c**2 + 3\/10*c**5 + 4\/5*c**3. Find a such that z(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 695*g - 691*g + 5*a, a + 1 = 3*g - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*l**2*x + 43*l**2 - 20*l*x + 3*l - 4*x + 2 wrt x?\nAnswer: 19*l**2 - 20*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35 + 13*n - 61 + 32 + n**2 - 30 wrt n.\nAnswer: 2*n + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*x + 127 - 128 + 181*x - 2*x**2)*(2 - 4 + 0).\nAnswer: 4*x**2 - 486*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7896.5 - 17677.1. Round s to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 42\/(-40))*(-1104)\/((-8694)\/63).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 s when four letters picked without replacement from msmtthmgttmmmmtmm?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, z: 2, f: 9}. What is prob of picking 1 p and 3 f?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -2. Suppose 5*u + 60 = 5*t, u - v = -3*t + 5. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 18 = 3*x, -4*g - 28 = 5*x - 5*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 + 2 - 145*l**3.\nAnswer: -145*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/181850924 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19578 is divided by 445?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 3192, -1\/6, -3\/10, 1 in decreasing order.\nAnswer: 3192, 5\/3, 1, -1\/6, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93 or -23815\/254?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 - 16.8. Let y = o + 34. Let t = 11.9856 - y. Round t to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 6*h + 9 = 3*w, -h - w = -0*w + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-1\/4)*j*j*j)\/j)\/(j*(j**(-8)\/j)\/j))**(-3\/7))**(-1\/70) assuming j is positive.\nAnswer: j**(141\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 497c?\nAnswer: 4980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63467861734 from -57.\nAnswer: 63467861677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - (10 + (-14 - -1) - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0108 - 0.0192. Let j = 2 + -2.03. Let q = k + j. What is q rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 13. Let c = 51 + -37. Suppose -4*m + 14 = -c. Are h and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00138584 rounded to five dps?\nAnswer: 0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:53 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1173)\/(-9) - -2) + (-3)\/9. Let w = -86 + g. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 + 6) - (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583 = -16*a - 265. Let m = a - -57. Calculate the smallest common multiple of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10241226.32 to the nearest one hundred thousand.\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002172 rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/19 in -1, -675.944, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/5, -3\/4, 2.7 in increasing order.\nAnswer: -2, -3\/4, -3\/5, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/7)\/(-4))\/(180\/6480*(-4)\/(-7))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 53 and 3568\/69 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28556 + -21356. Does 72 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 739*x**4 + x**3 + 2491*x**2 - 4*x - 6. Let l(c) = c**4 - c**2 - c - 2. Let b(m) = -3*l(m) + v(m). What is the third derivative of b(p) wrt p?\nAnswer: 17664*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5033*o**4*q - o**3*q**2 - 45*o**3 + 112*o**2*q**2 - 2*o*q**2 + 3*o*q + 15*o - 4*q - 2 wrt o.\nAnswer: -120792*o*q - 6*q**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -123719085 divided by -3\nAnswer: 41239695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2 + 2)*(2 + 0 - 9 - 3 - 1 + 2 + (2 - 2 + 2)*(-2 + 5 - 5) + 4 + 1 - 3 + 1 + 4 - 3).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:51 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69900108 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 y be (-5 - -10 - 3\/(-1)) + 3. Solve -2*f = -3*s - y, 2*f + 2*s - s + 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 9:23 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*c + 196*c**2 + 18*c - 670*c**2 + (c**2 + 5*c**2 - 5*c**2)*(-2 + 2 + 1) - c + c + 2*c**2.\nAnswer: -471*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-2215)\/19935?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4160759*j**3 - 1367202*j wrt j.\nAnswer: 24964554*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.80346 - 21.\nAnswer: -135.80346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 17001\/27 + -11 - (-2 - 4\/(-6)).\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-8 + (1 + 5 - (32 - 34))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4945*z - 105552. What is s(-21)?\nAnswer: -1707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 0*f**2 - 4*f**2 + (24 + 6*f - 24)*(-21*f - 1071 + 1071) to r*f + p*f**2 + o and give p.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.151 - 1.361. Let o = -0.19 + x. Let w = 1.40000001 + o. Round w to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7*(-15)\/(-140))\/((-3)\/(-12)). Which is the nearest to k? (a) -10 (b) -5 (c) 0 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111111000111111 (base 2) to base 16\nAnswer: 27e3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*v - 242*v + 972*v - 238*v - 244*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisminsass. What is prob of sequence assm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 1027?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*x + 247*x + 16656 = 223*x + 1221 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.930167 and -14.\nAnswer: -195.022338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/700 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {n: 1, v: 1, m: 1, y: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times -0.412?\nAnswer: -0.15656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ninety-four thirds of a day?\nAnswer: 752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213220141121 - 0?\nAnswer: 213220141121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 290315046 divided by -553\nAnswer: -524982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b**4 - 328*b**3 - 2052*b**2 + 6016*b - 1024 = 0. What is b?\nAnswer: -16, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300011 (base 4) in base 16?\nAnswer: 2c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784, -1562, -2340, -3118?\nAnswer: -3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 866 or 868?\nAnswer: 866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81454*z**6 - 61*z**2 - 850?\nAnswer: -9774480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1055*42\/3570 - (-33)\/(-3). Factor -26\/17*m**2 + 12\/17*m + i*m**3 - 2\/17 - 8\/17*m**4.\nAnswer: -2*(m - 1)**2*(2*m - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65\/33 - -18\/11. Let k be (-1)\/(134\/518 - 224\/784). Which is the nearest to -2\/5? (a) k (b) 2 (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62*4776876\nAnswer: -296166312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:05 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 16*m**2 - 20*m + 24. What is the units digit of u(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y. Let k(x) be the first derivative of x**5\/120 - x**4 + 4*x**3 - 43. Let j(h) be the third derivative of k(h). Give j(o(i)).\nAnswer: 2*i - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9433873357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -35*l + 50. Suppose -5*h + 3*h = -l. Let z be 54\/21 - (0 + 3). Put -5, -0.4, h, z in decreasing order.\nAnswer: h, -0.4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.04 + 21.7. Is 0.1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379*2.87\nAnswer: -1087.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199820646 divided by 4569.\nAnswer: 43734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 2. Let u be c(6). Let k be ((-6)\/(-15))\/(u\/70). What is the second derivative of -6*g - 5*g + k*g**2 - 4*g**4 - 7*g**2 wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109322 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167463673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 61*j**2 - 1912*j - 5915. Calculate r(25).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, 5, 2, 7 in descending order.\nAnswer: 11, 7, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204370 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/4)\/((-2)\/(-8)). Let i be ((-8)\/f)\/(8\/260). Let w(b) = 627*b + 4395. Let k be w(-7). Solve 4*o - i + k = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*q + 66*q = -10745 - 6021 + 3454 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -1 (c) -394 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6182*o**2 + 24722*o + 19. Determine d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -2\/983 (b) 6 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s + 3*s - 3 - 167*s.\nAnswer: -243*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.31338284 to 3 dps.\nAnswer: 38.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259\/18 or -1642?\nAnswer: -1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:10 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 7*u = -3558. Suppose 5*b - 4*j - 379 = u, 591 = 3*b - 5*j. Suppose 28 = -2*p + b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 497 and 19103.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/120 + 7*a**5\/60 + a**4\/12 + a**3\/6 + 110*a**2. Determine z(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1940)\/50*(18\/(-4) + 2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 4.51940554.\nAnswer: -4.51940554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -88.\nAnswer: -21\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/3 (b) -1\/4 (c) -1.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(2\/4). Sort 2, w, -2 in increasing order.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 2*q**3 + 5*q**3 + (-q**2 - 2*q**2 + 5*q**2)*(4*q - q + 3*q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 27320*v + 54624.\nAnswer: 4*(v - 6828)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.42 and 9.\nAnswer: 9.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(8)\/sqrt(4)))\/sqrt(2))**2 - (1 + -3*-2*sqrt(7)).\nAnswer: -6*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 29*c + 307. Determine l(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0 + h - h + 4 - h**2. Let b(j) = 7*j. Give b(u(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/17)\/f)\/f)\/f*f*f\/(f*f\/f**23*f*f*f))\/(f**22*f**25) assuming f is positive.\nAnswer: f**(-511\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26 - 22 - (0 + 1)) + -2. Let o = -9 - -16. Let b = o - 11. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/6)*r*(r\/r**(-1))\/r)\/(r**(-4)*r**2))**(-24) assuming r is positive.\nAnswer: r**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 1 (c) 775 (d) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/120 - p**5\/60 + 17*p**4\/12 - p**3\/2 + 147*p**2. Is f(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 44*j. Let l(t) be the first derivative of 5*t**2\/2 - 50. What is y(l(q))?\nAnswer: 220*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0102226209 to 6 decimal places.\nAnswer: -0.010223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2. Let a be y(0). Suppose f - a*f = 2. Let j be (3 - 0)\/(f - -3). Solve -7*o + j*o = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*j - 25 = -b, 0 = 3*b - 2*j + 17. What is the smallest value in b, 0.4, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 269 = -31. Let q = 78 - 76. Let j be (q + -9)*d\/42. Solve 2*c - j = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007978690327 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2 + 3. Let p(w) = 159 - 3*w + 162 - 339. Let k be p(-5). What is the tens digit of g(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4702c (base 13) to base 15.\nAnswer: -28641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192339580 by -335.\nAnswer: 574148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -760*g + 97817. Give k(128).\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 4*n = 54, 5*q + 851*n + 15 = 848*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*r + 268 = 262, 4*n + 3*r - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -1\/12, -0.2227, 0, 0.1 in descending order.\nAnswer: 2\/13, 0.1, 0, -1\/12, -0.2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 7 - 19*c)*(-1 + 2*c**2 + 1) to the form n*c + x*c**3 + q + g*c**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 22.2. What is the third smallest value in 1\/3, f, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7*g**4 - 4*g**3 - 9*g**4 - g - 1 as v*g + f*g**4 + p + t*g**3 + q*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 29. What is l(-11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-130))\/((-6)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 6702. Let i = l + -67039\/20. Find the common denominator of 103\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 7, b: 1, f: 5}. What is prob of sequence pfe?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 5*j + 7. Let w be s(-6). Solve q - 2 = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 8f?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 278.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3876 - 3923) + (-850)\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 16*k - 40. Suppose 2327 = k*w + 5*w. What are the prime factors of w?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88089 less than -88483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/11802 - -98333\/200634. Find the common denominator of -23\/27 and a.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 12*o + 126. Let p(b) = b. What is p(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 107 + 286 = 5*m, 2*c - 170 = 4*m. Let k = -658 + 671. What is the remainder when c is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-20928)\/(28\/(-7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2*f + 2. Let k be (-2)\/(-4) - 3\/6. Let g be t(k). Solve 4*v = 3*y + 20, 22 = g*v - v - 5*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 903 by 5.\nAnswer: 903\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -507819250.91 - 3546.\nAnswer: -507822796.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 2. Let x(s) be the second derivative of 0 - 1\/6*s**3 + 96*s + 0*s**2. Determine d(x(l)).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(2\/35))\/a*a)*a*a**(2\/5)*a)**4 assuming a is positive.\nAnswer: a**(328\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1248 or -2\/25?\nAnswer: -1248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.31, -1\/11, 0.2, -3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12984296 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 55*v**2\/2 - 12*v - 2. Let u be q(-7). Let s = u - -3117\/8. What is the common denominator of 36\/7 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2626 and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**2. Let f(w) = -8844*w - 670. Let u(q) = 79*q + 6. Let o(j) = 3*f(j) + 335*u(j). Calculate m(o(b)).\nAnswer: 49379*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/(8\/15)*(-4)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -1347*w**8\/112 - w**5\/20 + 19*w**4\/12 - w**3\/3 + 2*w**2 - 2206. Find the third derivative of m(v) wrt v.\nAnswer: -242460*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.006 - 0.106. Let m = 0.14 + 0.06. Let z = m - 0.1. What is the closest to c in 0.5, 0.6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c. Let m(x) = -2*x - 6. Let f(l) = -3*l - 8. Let d(y) = -5*f(y) + 8*m(y). What is v(d(q))?\nAnswer: 13*q + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t - 1. Suppose 3*k = -4*u - k - 12, -2*k + 8 = -5*u. Let f(w) = w. Give u*v(r) + 11*f(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 276081 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnd. What is prob of sequence dc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 4\/3*d**3 - 87*d**2 - 1\/4*d**4 - 1\/60*d**5 + 0 + 0*d. Give g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:54 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33650 + -2?\nAnswer: 3364a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -79. Suppose -f - 2*b = 3*b - l, -3*b + 156 = 3*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 5. Let j(u) be the third derivative of u**4\/4 - 5*u**3\/2 + u**2. Let s(i) = 11*a(i) - 4*j(i). Let r be s(-5). Solve 6*d - r = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54860 rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (13 - 7)\/(2\/420)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23817\/4 - -5954. Which is the nearest to 0.3? (a) -15\/2 (b) 0 (c) q (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304+3302804625.72\nAnswer: 3302804929.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -13*c + 1. Let j(y) be the third derivative of -y**5\/60 + 7*y**4\/12 - 16*y**3\/3 - 49*y**2. Let f be j(11). Determine i(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112107*-4.86\nAnswer: 544840.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-15))\/(3\/10). Let i(n) be the third derivative of 1\/360*n**x - 1\/45*n**5 - 5*n**2 + 0 + 0*n + 0*n**3 + 1\/18*n**4. Let i(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-6)\/180*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.67053km?\nAnswer: 8670530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 6, d: 4, x: 3, g: 3, i: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d. Let i(o) be the third derivative of -10*o**2 + 0 + 0*o**3 - 1\/24*o**4 + 0*o. Calculate i(n(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 1 + 293*t - 295*t - 14*t**2 + 10*t**3 in the form o*t**3 + k + m*t + y*t**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-2040)\/17))\/(2\/(-392)) + -9.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -524, 2, 0.\nAnswer: -524, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 13*g + 15. List the prime factors of x(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*151\/(198414\/72).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 2. Let q = 1 + -4. Let s = 1 + q. Give w(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1462\/272 + 6\/(-16). Solve -4*m - 2*k = -k - 13, 3*m - h*k = 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 523.5015 decades?\nAnswer: 52.35015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Find the first derivative of 3 - p**u + 7*p - p - 6*p wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 129487?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15183, 26996, 38813, 50634, 62459, 74288?\n\"Answer: 2*c**2 + 11807*c + 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 1, q: 1, l: 1}. Give prob of sequence qnl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t)**(-3\/10)\/(t**(2\/9))**(-4\/31) assuming t is positive.\nAnswer: t**(-821\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25 - -115 - (-1 - -4). Suppose 3*x + 996 = 3*j, j - 236 = -2*x + t. What is the remainder when j is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1378275675 by -95.\nAnswer: -14508165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:49 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1284 divided by -145.\nAnswer: -1284\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, -2, -4 in decreasing order.\nAnswer: -2, -4, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1102, -11, 4 in decreasing order.\nAnswer: 1102, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -220? (a) 6 (b) 0.015 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2084 and 1.\nAnswer: -2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(649\/(-110)))\/((-25)\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 223, 514, 913, 1414, 2011?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.762256g?\nAnswer: 0.000007762256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0 + 1\/30*n**5 - n**3 + 1\/3*n**4 + 0*n - 12*n**2. Let x be y(-5). Solve -x*f = g - 0*f + 5, -3*g - 1 = 5*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, w: 3}. Give prob of sequence nw.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236952 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8345 + 58182\/7. Let y = -33 - k. Let l be (-1)\/(-2 - 8\/(-2)). What is the second smallest value in l, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.092*-816482\nAnswer: -75116.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from vvvvvvznvn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1767*j**3 + 747*j + 2?\nAnswer: -10602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531708726.\nAnswer: 2, 3, 88618121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 23*j + 507. Calculate k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 + -3.6000212. Round p to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16851873 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 g when four letters picked without replacement from {s: 7, e: 5, g: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34273 is divided by 457.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 2, n: 2}. What is prob of picking 1 w and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/28, -0.1, 0.2, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 - 3238*y - 29304 = 0. Calculate y.\nAnswer: -9, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-200)*(-5394)\/217 + (-2)\/(-20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -aa12a (base 12) to base 10\nAnswer: -224818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -15*j + 1. Let v be c(0). Let q(p) = -52*p**2 - 66*p**2 + 108*p**2 - v - p**3. What is q(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000010110111001100 (base 2) to base 4.\nAnswer: 3002313030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.8426 tonnes to nanograms.\nAnswer: 14842600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - y**2 + 2*y - 5. Give x(3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 755, 0.042, -0.2?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/5 + -1*1. Suppose c = k + k - 212. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2316*p - 2783*p + 2038 + 41381 = -63660 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 477*w + 15. Let i(f) = 5*f - 3. Give -6*i(u) - v(u).\nAnswer: -507*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrxrffrr. What is prob of sequence xrfr?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42140)\/(-1118) + -37)*13\/3. Let g be ((-3)\/(-2))\/((-3)\/(-8)). Sort v, 52, -1, g in increasing order.\nAnswer: -1, v, g, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5860383?\nAnswer: 3, 47, 89, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 5*w - 14, 0 = -5*d - 5. Factor -r**5 + 14*r**4 - 112*r**2 - 460*r + 396*r - 33*r**w + 0*r**5.\nAnswer: -r*(r - 8)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 9320.\nAnswer: 37280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 5. Let o(m) = -m - 3. Suppose -199*v + 692 + 995 - 95 = 0. What is v*o(x) + 5*f(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-11 - 1)*(-42)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:46 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 1\/3, -3, -1\/4, -1 in increasing order.\nAnswer: -3, -1, -1\/4, -0.02, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -757 - -756. Is (8354 - (-8 + 10)) + (-1)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 8893 = 8708. Sort v, 2, 1, 14, -3 in descending order.\nAnswer: 14, v, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*g - 101 + 35, 4*g - 402 = -5*s. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 1. Let x = -0.012 - -0.012. Let n(f) = -f**3 + 5*f**2 + 2*f - 6. Let o be n(5). Which is the third smallest value? (a) x (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 325*i - 13 - 326*i - 9. Let o be c(-19). Let z(r) = -9*r**3 - 2*r**2 + 2*r + 1. Is 25 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3160 by -395.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + 3 - 1. Suppose -3*y - 2*y - u*o = -14, 5*o + 14 = y. What is the units digit of -1 + (-46)\/6*(1 - y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 + 10*f**3\/3 - 4*f**2 - 13*f - 92. Let o(y) = -3*y. Let d be o(-3). Give c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -19*g**2 + 2. Let w be b(1). Let n = 19 + w. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258021049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4263, -0.5, 0, 7, 1 in ascending order.\nAnswer: -0.5, 0, 0.1, 1, 7, 4263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*h + 4*h. Which is the closest to 1? (a) 0 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let k(g) = -g + 1. Let x(q) = q**2 + 6*q + 7. Let b be x(-5). Let w be (-527)\/31 + (-6 - -26). Calculate b*t(l) + w*k(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -954*v**2 + 4*v - 16. Let n(r) = 1028413*r**2 - 4311*r + 17244. Calculate -4*n(d) - 4311*s(d).\nAnswer: -958*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - sqrt(2057)*2)*-1.\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/90*3)\/(3\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4591*h**2. Let z(b) = -8*b. Calculate z(j(w)).\nAnswer: -36728*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s + 3. Let f(w) be the second derivative of w**4\/12 + w**3\/3 + 3*w**2\/2 + 2*w. Let z be f(s). Calculate the highest common divisor of 33 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3759*h - 24965 - 24971 - 24972 + 74908.\nAnswer: 3759*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 311*v - 1502. Give n(2).\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 687853800 a multiple of 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000594199 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(6\/((-6)\/(-2))). Suppose -5*l - 13 - 2 = -5*a, 0 = -3*a + 4*l + 13. Let z be (1\/a)\/((-9)\/(-18)). Sort 1, z, o in descending order.\nAnswer: 1, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11591?\nAnswer: 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24136\/224 + (-1036)\/592?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4060\/348 + -12 + 86\/(-3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, x: 8}. Give prob of picking 3 x.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-2)\/20*(1 - -2). Suppose 0 = -0*v + v + 20. Let r be v\/75 - 6\/(-10). Which is the closest to 2\/9? (a) g (b) 2\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35890 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 308*p - 3085. Let c be x(10). Let q = 6 - 5. What is the closest to q in c, 4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, -0.1, 0.3, -3334?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 + 19*h - 3. Let y be b(9). Suppose -5*x + 865 + 662 = 4*g, 0 = 3*g + y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/(1\/3). Suppose 52*t = 48*t + 16. What is the greatest common divisor of t and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:41 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 9 (c) 19174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 3*z + 2. Let b be t(-3). Suppose -2*v + 14 + b = 3*l, 20 = 4*l. Suppose 0 + 5 = v*s. Which is bigger: 2\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alllallllllllallllll. Give prob of sequence ala.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001005106 to seven dps.\nAnswer: -0.0001005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -544. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 8*r**2 - 3*r + 7. Let w be o(-10). Suppose -3*b + 3*y + w - 24 = 0, -5*b = y - 379. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705079?\nAnswer: 705079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4603*b - 13197. Calculate z(3).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155107 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 = 4. Suppose -y = -m + 2. Suppose -m*a - 295 = -5*u, 5*u + a - 247 = 48. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 60 = -3*y + 59, y - 3*s = 29. Suppose 2*z - 1 = 3*d, -y = -2*d - 5*z - 10. Let r = -336 - -340. Solve -2*f - 4 = -r*o, f = -0*o - d*o + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6 = -3*k, -k - 3 + 7 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11713657.\nAnswer: 173, 67709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/6 + 0)\/(18\/2187) is divided by 2 - (0 - -1)*-26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.799261 and 12.\nAnswer: 6.200739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 484806565 a multiple of 10000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:14 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41361, 41885, 42409?\nAnswer: 42933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 10. Let p = 38 - 27. Suppose -p = 4*b - 143. What is the lowest common multiple of y and b?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -728 - 198?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 2*z - 5. Let i be (3 + 0)\/(6\/(-2) - -2). Let t(y) = -4*y**2 + y - 4. Give i*t(n) + 2*k(n).\nAnswer: 2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11483, 23583, 35683, 47783, 59883, 71983?\nAnswer: 84083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, -0.4, -0.2878, -12, 0.3, -5\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/((-2)\/(-62)). Suppose 0 = -8*v + 10*v - 128. Let z = v - s. What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 6*d + 4400. Calculate the remainder when 172 is divided by 1\/2*d\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46049311 * 0.5\nAnswer: 23024655.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1\/3, -7888, 0.3 in descending order.\nAnswer: 0.3, -0.04, -1\/3, -7888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + b = -126, -5*p - 5*b - 133 + 463 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from paaaaapaaaparapaard.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, 0, -12\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36777, -147101, -330971, -588381, -919325, -1323797, -1801791?\n\"Answer: f**3 - 36779*f**2 + 6*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23 + 27 + -70)*2*3\/(-21). Factor -200\/7 + s*i - 2\/7*i**2.\nAnswer: -2*(i - 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4656 - 51265\/11. Let s = 3066\/5 + -617. Calculate the common denominator of s and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from czujcuuuu.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 + -55. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1680660\/29 or 57955?\nAnswer: 1680660\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x + 8. Suppose -9*i + 7*i = -12. Let o be h(i). Calculate the highest common factor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1320, 153, -5 in increasing order.\nAnswer: -5, 153, 1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (5 + 18 + -26).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-3)\/(-3))*-1. Suppose -2*n + 2*z - f + 7 = 0, 4*n - 6 = 2*z. Suppose 0 = -n*g - 2*g + 30. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = 2*s + 32, -80 = -5*g - 3*s. Let u be 12\/(-4) - (-1 + 2). Calculate the remainder when g is divided by 6 - 4\/(u\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 16 = -25*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -z - 5*b, -5*z = -7*z + 5*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166595 is divided by 474.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17*s - 20*s + 14808 = 0, -3*s + 4928 = a. What are the prime factors of a?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 0.01 (b) 2\/7 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 483*w = -479*w + 16, 3*w = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6875594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*f + 48270 = 339741 + 148969. Is 44 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2)**48\/(o**(2\/5)*o*o)**(2\/7))**(9\/2) assuming o is positive.\nAnswer: o**(22572\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 405, 796, 1187?\n\"Answer: 391*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h*h**(1\/3)*h)\/h))**(2\/87)\/(h**(-1))**(1\/3))**(-2\/17) assuming h is positive.\nAnswer: h**(-10\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 232305485 rounded to the nearest 10000?\nAnswer: 232310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -311, -693, -1227, -1913, -2751, -3741?\n\"Answer: -76*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x - 80. Let f be g(8). Suppose f = 3*s + 3*p + 837 - 4596, -2*s + 2485 = -5*p. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.917499613 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3140331 (base 5) in base 8?\nAnswer: -146557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2407746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352890 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1146 - 571. Suppose 3*i - 340 = -2*t, -8*i + c = -3*i + 5*t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29336244 and 4190892?\nAnswer: 29336244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u**2 - 39*u - 200. What is the remainder when 2437 is divided by r(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c37 (base 15) to base 4.\nAnswer: -3021031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9594.575l in millilitres?\nAnswer: 9594575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2723, -4159, -5345, -6155, -6463?\nAnswer: -6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 + o - 2. Let w be k(4). Suppose 3*h - 2*v = 12, -4*h + 33 = 7*v - 4*v. Let u = h - w. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -p - 2, -5*r + 3*p - 7 = 0. Let m be 4*(-3)\/(-1 + r). Solve -m*b = -2*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**0)\/(q*(q\/(q\/q**(-5)))\/q))\/((q*q**(-1\/5))\/(q\/q**(1\/11))))**(-21\/4))**(-5\/3) assuming q is positive.\nAnswer: q**(588\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 19571 - 19577 + 58726 = 5*k + 19526, 2*q = 3*k - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -5*c + 48. Let s = 19 + c. Suppose 0 = -2*n + s*n - 9. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a40ba (base 16) in base 6?\nAnswer: -22222442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1146823, 2293656, 3440489?\n\"Answer: 1146833*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 + 11*i**2 - 5*i + 2. Let y(l) = 4*l**3 + 12*l**2 - 6*l + 3. Determine 5*o(d) - 4*y(d).\nAnswer: -d**3 + 7*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/257135143 or 0?\nAnswer: -2\/257135143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22661*f*g*l**2 + 2*f*g*l + 8*f*g + 1017*f + g*l + 2*g + 2*l**2 wrt l.\nAnswer: 45322*f*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saeeasaawaaaessaaaas. What is prob of picking 1 w and 1 a?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 12 + 9. Let w = 34 - v. What is the highest common factor of 297 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 8*j = 7. Suppose 11 + j = -2*r. Let k = r - -9. Solve -4*m + 16 = k, -4*w + 3*m - 15 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.20185ml to litres.\nAnswer: 0.05820185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - 150. Let p be r\/((-52)\/(-16)) + 6. Solve 2*k + 12 = -p*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61346, 4, 12\/11, -1\/8.\nAnswer: -61346, -1\/8, 12\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) -0.2 (c) 78 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/12 + 7*b**3\/6 + b**2\/2 - 5*b + 1. Let m(l) be the first derivative of c(l). What is m(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -343000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -3 - 2) + (-9 - -3 - -4).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**3 - 1. What is y(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9824 divided by -4\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (-2*sqrt(99) - sqrt(99))*-3)*3)\/((-1*sqrt(900))\/sqrt(4)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 - 12*g**2 - 7*g - 8. Let m be i(-5). Let l be (-11)\/((-44)\/224) + 104\/13. Calculate the highest common divisor of l and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 16. Suppose l = -3*x, 3*l = -2*l. What is q(x)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 41907964.\nAnswer: 83815928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*h - 30, 0 = -4*q - 5*h + 28. Solve -3*r - 15 = q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -330*i + 394. Determine u(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*m**2 - 15*m + 15*m - 36*m**2 to u*m**2 + v*m + y and give u.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1121424 + 3301032?\nAnswer: 4423011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 2595492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125566122161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 774\/11*q + 2\/11*q**2 + 140.\nAnswer: 2*(q + 2)*(q + 385)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 48. Let x be y(-22). Solve 8 = -x*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let s(u) = 26*u + 25. Let t(q) = s(q) - 4*y(q). What is the units digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35922 is divided by 536?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81545.\nAnswer: 5, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 252596448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 4*m**4 + 3*m**4 + (5*m - 5*m - m**2)*(3*m - 3*m + m**2) + 5*m**4 + m**4 - 4*m**4 - 32*m**4 + 65*m**4 + 53*m**4.\nAnswer: 88*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(1100) + sqrt(1100) + sqrt(11) + sqrt(77)\/(sqrt(7)*1) + 4)**2 + -1.\nAnswer: 88*sqrt(11) + 5327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.012, -3, -5, -1.5, -4 in descending order.\nAnswer: -0.012, -1.5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - sqrt(76)*1*-1) + sqrt(76))\/(sqrt(12)\/sqrt(147)).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*s + 15. Let g = -17 - s. Let w = 10 - g. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2851.4 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 17 + 3. Let l(x) = o*x**2 - 4*x**2 + 3*x**2. Let d(u) = 11*u - 6. Let i(j) = -13*j + 7. Let b(q) = 7*d(q) + 6*i(q). What is l(b(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/4)\/((-51)\/136).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73008)\/112 + (0 - (-3)\/(-21)). Let l = -637 - r. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 19 = 16. Calculate the greatest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -163*k**7\/210 - 28*k**3 + 103*k**2. Find the first derivative of h(w) wrt w.\nAnswer: -652*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 56 - (4 - (-1 - 3 - 4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*c + 610.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1034 - -3?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*u, -2*l = 3*l - 3*u - 14. Let v(a) = l*a - 1 + 1 + a**2 - 6. Let p be v(-6). Solve 0*x - 2*x = -p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by -35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1413 and 3177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.026, -22780, 0 in ascending order.\nAnswer: -22780, 0, 0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from xooxo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - (sqrt(7) - (sqrt(343) + 3))) - (sqrt(63)\/sqrt(81) + -1)**2.\nAnswer: 20\/9 + 23*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 21 - 13 - 3, 0 = 3*u - o - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(343)*2*5)*1*3.\nAnswer: 12 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*i = 641*i - 629 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 12. Let k be o(14). What is the derivative of 1974*x**2 - 109 - 981*x**k + 3*x - 978*x**2 wrt x?\nAnswer: 30*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179916089*l**2 + 660695742.\nAnswer: -359832178*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*d - 6*d + 27, s - 19 = -3*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29978283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20452?\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 - 204. Let c(i) be the third derivative of 0 + 1\/6*i**3 - 1\/6*i**4 + 0*i - 3*i**g. Let b(f) = -11*f + 3. Determine 3*b(o) - 8*c(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -l + 5. Let m = -17\/2 - l. What is the closest to 1 in 3\/8, -0.1, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*m + 3047 = t, t = 5*t - 2*m + 5*m + 87 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/2))\/z)\/(z\/(z**6*z*z))*(z**(2\/3))**(18\/5)*(((z**(-3)\/z)\/z)**(5\/2))**(-13\/5) assuming z is positive.\nAnswer: z**(207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.154 - -1.846. Which is the closest to y? (a) 0.04 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 49 + 14. Let t(d) = -2*d**3 - 13*d**2 - 8*d - 9. Let g be t(-6). Suppose 3*q + b*f = g*f + 51, -2*f = -3*q + 51. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fst when three letters picked without replacement from {w: 3, s: 2, m: 1, f: 2, t: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*q - 25. Suppose -o = q*d - d + 9, 4*d = 2*o - 18. Find the third derivative of 0 + 4*v**2 + 0 - 3*v**3 + v**o wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789, 3221, 7275, 12951, 20249?\nAnswer: 29169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1736 and -111\/28?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8002207, -16004412, -24006609, -32008798, -40010979?\n\"Answer: 4*i**2 - 8002217*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 94.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1919, -3832, -5737, -7628, -9499, -11344?\n\"Answer: n**3 - 2*n**2 - 1914*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/261195 and 109\/69652.\nAnswer: 1044780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249.6 - 248. Let o = -292 + 295. Which is the closest to 1\/2? (a) 0.1 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1594*g**2*n**2 + g**2*n + 103*g**2 - 58458*g*n**2 - 27*g*n wrt g.\nAnswer: -3188*n**2 + 2*n + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 a when four letters picked without replacement from yyyyjalya?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741364?\nAnswer: 2, 13, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1786 divided by 23?\nAnswer: -1786\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*v - 54, 0 = 4*f + 3*v + 34 - 88. Is f less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*2*(-5 + 0 + -2 + sqrt(208)).\nAnswer: -420 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 3. Give u(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {r: 1, i: 2, e: 1, j: 1, f: 2, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 163\/1900753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(1\/2))\/v)\/v)\/(v\/v**2)*v**(-6)*v\/(v\/(v*v**3)) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 3*r**2 + 5*r - 1. Let g be j(4). Suppose 9 = g*t - 3. Is -2 + t + 0 - -31 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + v = -0 - 11, 4*l - 5*v = -8. Let g(d) = d**2 + 6*d - 5. Let i be g(l). Suppose i*k = k + 32. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = 1. Let f(n) = 3*n - 44. Let d be f(15). Sort d, b, -4 in decreasing order.\nAnswer: d, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkro when four letters picked without replacement from {r: 4, l: 3, o: 3, k: 3, h: 1, j: 2}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147\/5 - 35\/2. Let c = 3458761460268506\/109915 - 31467601876. Let i = c + 21\/1691. Calculate the common denominator of l and i.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbiiixbxxiibi. Give prob of sequence ixxb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.537 - -0.663. Let m = 0.08 + 40.92. Let k = m - v. Which is the nearest to k? (a) -5 (b) 1\/4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 6*k**2 + 8*k + 9. Let f be 7\/2*(-8 + 6). Let i be j(f). Solve i*m + 4*u = -20, m + 1 = -0*m + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000116 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 9. Let x(n) = -n - 5. Let w(y) = 3*b(y) - 7*x(y). Let u be w(-6). Solve u*k - v - 3 = 0, 0 = -k - 2*v - 2*v - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-15)*54\/144*(-8)\/10.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2331 + -21?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 4 (c) -2\/3 (d) 799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100002 (base 3) to base 10.\nAnswer: -1703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1184, -9693, -32816, -77861, -152136, -262949, -417608?\nAnswer: -623421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*m - 85*m + 181*m + (7*m - 7*m - 11*m)*(-1 + 0 - 2) + m + 2*m - 4*m to the form w + k*m and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -11. Is -4 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/60 - 5*h**4\/12 - 4*h**3\/3 + 6*h**2. What is the units digit of p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -168*n**3 - 49*n**2 + 49*n - 49. Let y(h) = -7*h**3 - 2*h**2 + 2*h - 2. Let u = -84 - -82. Determine u*j(z) + 49*y(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*(f\/(f\/f**(-7\/5)))\/f*(f\/((f\/(f\/(f\/(f\/(((f\/f**0)\/f)\/f)))))\/f))**(1\/18) assuming f is positive.\nAnswer: f**(-247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1034?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {e: 11, a: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3705, 769, -4133, -11013, -19883?\nAnswer: -30755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from wrwrryywyrrwrg.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*(-6)\/(-2))\/2. Suppose -x = -3*n + 14679, -n - 25*x + 4893 = -28*x. Suppose -4*i - b*j = -n, 4905 + 1215 = 5*i + 3*j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.283 + 0.0831. Let u = p + 0.1998995116. Round u to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-40)*(-45)\/2. Let v = t + -12. Calculate the lowest common multiple of v and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + (-9 - (-18 - -42)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 - 37*w)*((0 - 3*w**2 + 0)*(4*w**2 - w**2 + w**2) + 3*w**4 - w**4 - 4*w**4).\nAnswer: 518*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 69727 divided by 104\nAnswer: 69727\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 plus 12949761961?\nAnswer: 12949761896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(5\/6)*z**(1\/43) assuming z is positive.\nAnswer: z**(49\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 + (1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10299059.\nAnswer: 17, 43, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/25)\/((-123)\/(-5)). Sort -0.1, i, 11 in descending order.\nAnswer: 11, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8976.706l in millilitres?\nAnswer: 8976706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/sqrt(7))**2*4*3 - (3 + (-3*sqrt(63) - sqrt(63)))) + -1.\nAnswer: 12*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -1\/3 (c) 0.5 (d) 6\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.977629 + -0.022371. Let w = -16.43 - -16. Let m = 0.03 + w. What is the third biggest value in b, 3, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(1953\/308)*3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1223 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6897.36 hours to minutes.\nAnswer: 413841.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2214 + 0.1214. Sort 3\/2, c, 1\/3 in decreasing order.\nAnswer: 3\/2, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-2))\/((-2)\/4). Let v = 14 - m. Put -3, v, 0 in increasing order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 536500051*d**4 + 1213*d**2 + 152312?\nAnswer: 12876001224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 14.8 (b) -1.2 (c) 412.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/23432382 and 52\/9669.\nAnswer: 257756202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i - 1969 - 2295 = -1632 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.37062 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 7*l + 2. Let b be p(-7). Suppose 11 = b*h - 11. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-1)\/(26\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-8))\/((-6)\/28). Suppose b*d + 4 = 11*d. Solve -4 = -z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.22, -12, -0.5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -0.12 (c) -3 (d) -21\/19 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -14. Let a(i) = -8*i**3 - 4*i**2 - 2*i + 5. Let z = -10 - -16. Let x(k) = -7*k**3 - 4*k**2 - 2*k + 4. Let c(j) = z*a(j) - 7*x(j). Give c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1429811\nAnswer: -1429811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18 + -2 + 1 + -1. Suppose 0 = -5*a - 5*p - 5, -3*a + p + 13 = -0*a. Suppose 0 = a*t - 259 + k. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, 1\/3, 0.1, 2\/111, 6, 4 in increasing order.\nAnswer: -29, -4, 2\/111, 0.1, 1\/3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4 + 14\/4. Suppose -s*x - 4*v = 4, 0 = -x - 3*v + 2*v. Solve -12 = -4*b, -x*b - 9 = 4*q - 5*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**3 - 12*r**2 + 2*r - 7. Suppose -15 = 4*n + 9. Let j(w) = -13*w**3 + 23*w**2 - 3*w + 13. Let l(i) = n*j(i) - 11*c(i). Calculate l(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324521 is divided by 64904.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13563695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -64. Calculate the remainder when 125 is divided by x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:13 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 490 * -18.\nAnswer: -8820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 133*w**2 - 275*w + 2103. Calculate a(131).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219\/140 - -37\/20. Which is the nearest to 1? (a) 11 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q - 3. Let w be z(6). Let i = 0 - w. Let y be (i + -4)\/(-1 + 2). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.007 + 0.193. Let j = 1.8 - 2. Which is bigger: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 6. Let a be v(5). Suppose -3*f = -7*f. Suppose f = 9*q - 4*q + 20. Put q, a, -3 in increasing order.\nAnswer: q, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 15. Let n be (1 - 4\/2)*1. Sort k, -5\/3, n.\nAnswer: k, -5\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 1 + 0*t**2 - 1 + 1.\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:53 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feefpyyepffpyepfff. Give prob of sequence yyee.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*h = -33, u - 63 + 70 = -h for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 - r**2 - r. Let g be t(-1). Suppose x - g*x + 64 = 0. Calculate the highest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.291 + 20\nAnswer: 19.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -58 - (-76 + 17 + 61 + (-1 - 15)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 1, o: 4, x: 4}. What is prob of sequence oxpo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + 5*d**4 - 3*d**4 + 1 - 1 + d**4 + (-6*d**2 + d**2 + 2*d**2)*(2 - 2 - 2*d**2) - 2*d**4 + 2*d**4 - d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3250539*t + 11486926 wrt t.\nAnswer: 3250539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24381191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:55 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -2, -3?\n\"Answer: -o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -505\/24. Let v(s) be the second derivative of -s**2 + 1\/3*s**3 + 0 + 2*s - f*s**4. Find i such that v(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 3, z: 6, p: 1}. Give prob of sequence vzp.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = -16. Find the third derivative of d**q - 123*d**3 + 5*d**6 - 4*d**6 + 103*d**2 + 136*d**3 wrt d.\nAnswer: 240*d**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 9*z + 1. Let j be a(3). Is j*-1*(-52)\/10 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37994 - -37248. Sort -0.01, -1, s.\nAnswer: s, -1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 36, 5 in ascending order.\nAnswer: -5, 5, 9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**2 - 1\/3*x**4 + 0 + 23*x + 0*x**3. Let t(q) = 5*q. What is d(t(m))?\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 777 = 17. Suppose -u*z - 95 = -81*z. What is the derivative of -716*h**4 - z - 3 + 719*h**4 wrt h?\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0862854 (b) 2\/11 (c) 0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**(-6\/5)*b)\/b*b)\/(b**0*b*b))\/(b**(-1\/3)*b\/((b\/(b*b**(-6)))\/b)))\/((b**(-2\/5))**(-2))**(-12\/5) assuming b is positive.\nAnswer: b**(379\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, 5, -3\/499?\nAnswer: -3\/499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19482, 38962, 58442, 77922, 97402, 116882?\nAnswer: 136362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167430 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 - -2)) + 59 + -76.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -11. Let v be (-101)\/(-2) - p\/30. Let g = v + -16. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 14*j = -9*j + 35, 34*m = 6*m - 3*j - 2*j + 110 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 136*i**3 - 2*i + 3. Let z be t(1). Let x = -137 + z. Factor -r**3 + 0*r - 1\/3*r**5 - r**4 + x - 1\/3*r**2.\nAnswer: -r**2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 divided by -100?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqxffxfxxhxxhff. What is prob of sequence hnxq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -60*v + 17. Let j(d) = -59*d + 16. Let f(n) = -5*j(n) + 4*l(n). List the prime factors of f(3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 72*i - 334 + 983 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s)**(-35)*(s\/(s\/((s\/s**3)\/s)))**(1\/5) assuming s is positive.\nAnswer: s**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 208 = 0. Suppose 124 = -z + 4*z - i, -r = -5*z + 2*i. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22877512 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**2\/2 + 4. Let b(v) be the third derivative of -17*v**5\/60 + v**4\/8 - 5*v**2 + 9. Calculate b(z(x)).\nAnswer: -17*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22746, -22845, -22944, -23043?\n\"Answer: -99*m - 22647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/8 - 1216293*z**3\/8 - 1824435*z**2\/4 = 0.\nAnswer: -1216290, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1515 (b) 32 (c) -2\/383 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2020210 (base 3) to base 13\nAnswer: -993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54182227\/36 or 1505062?\nAnswer: 1505062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 2}. Give prob of sequence eess.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1007103334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-96.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5859 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 680, -51.24, -0.19 in increasing order.\nAnswer: -51.24, -4\/3, -0.19, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.949956 to two dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 16) to base 9\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 h when three letters picked without replacement from huchuuhuchhchhch?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18258?\nAnswer: 2, 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j*j*j**(-21)*j))\/j*j*j)*j\/j**(-26))\/(j**(1\/15)*j*j*j*j**(11\/3)*j) assuming j is positive.\nAnswer: j**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 7*g**2 + 6*g - 6. Suppose 0 = -3*v - 3*l + 276, 4*v - 188 = l + 190. Let t = -90 + v. What is the units digit of y(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*b - 9 - 5, -4*x + 4*b + 8 = 0. Suppose 111 = 3*z - 2*o, -3*z + 4*z + 4*o - 51 = 0. Suppose -x*i + z = -41. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/140 - (-48)\/(-7). Sort 5, n, -4 in descending order.\nAnswer: 5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*g = -12, -g = 12*m - 17*m - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 - 90*a**2 - 480*a - 800 = 0. Calculate a.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**4 + 2*o**2 - 141. Let u(c) = -7*c**3 + 3*c. Determine -6*u(v) + 5*y(v).\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-81)\/18)*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9461 + 9.0077. What is g rounded to one decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 15\/(-5)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 43767*t - 43766. Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4 and (-2)\/180*(-430)\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -21*w**2\/2 - 1. Let p(g) = g**3 - 4*g**2 - 10*g + 39. Let u be p(4). Does 21 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 349*y**2 + 1176*y - 12378. Determine b(-178).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 37464539479*o**3 - 37464539484*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 276671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7505.227 litres?\nAnswer: 7505227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + 4*s**2 - 5*s - 5. Let j(t) = 3*t**3 + 5*t**2 - 6*t - 6. Determine -6*a(u) + 5*j(u).\nAnswer: -3*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032650029 to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1075 - 3b2?\nAnswer: -1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1011391, 1011387, 1011383?\n\"Answer: -4*m + 1011395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000234962 to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -80849422, -80849413, -80849390, -80849347, -80849278, -80849177, -80849038, -80848855?\n\"Answer: r**3 + r**2 - r - 80849423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {a: 2, n: 2, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 110 = r + 2*y, 3*r + y + 98 = 0. What is the common denominator of r\/7*2\/2 and (58\/(-10))\/((-16)\/10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - (-8 + (3 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8 - 9 - x + 1. Let o(w) = 7*w + 35. Let p(j) = 1. Let n(b) = -o(b) + 35*p(b). What is n(q(s))?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(8775\/13))\/((24\/(-110))\/(-3))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4592568843 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.35 - 35.75. Let y = 6.6 - g. Let n = 42.7 - y. What is n rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -933, -1841, -2749?\nAnswer: -3657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1013 divided by 47.\nAnswer: 1013\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-12))\/((-9)\/(-36)). Solve -g*o - 3*m - 3 = 0, 4*o - 5*m - 22 = -53 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*q - 34 = -10, -q = -3*t + 15. Let b be t\/(-27) - (-1400)\/63. List the prime factors of b - ((-4)\/4 - -5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(4752)*1)\/(sqrt(9)\/(-2*sqrt(3))) - (-2 + 1*sqrt(539) + 5 + sqrt(539)*1)))**2.\nAnswer: 152*sqrt(11) + 15888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - 67. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-85)\/20). Sort 2\/7, p, 0 in ascending order.\nAnswer: p, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2343*c**2 - 46*c + 46. Is p(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 1661835248*u - 42 - 1661835243*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/12 + (-22)\/(-4). Let a be u + -5 + 2 + -2. Are 5 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 less than -2.644314?\nAnswer: 254.355686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 304 + -300. Suppose -c*q - 40 = -5*r - 0, 0 = -5*r - 2*q + 10. Factor 1\/3*s**2 + 0*s + 0 - 1\/6*s**3 - 1\/6*s**r.\nAnswer: -s**2*(s - 1)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003158301267 to seven dps.\nAnswer: -0.0003158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) 2 (b) 2\/5 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573631 divided by 17?\nAnswer: 33743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.8. Let j = d + -0.3. Let c = -0.2987 - j. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmxmlmmlbm. What is prob of sequence lxl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 8 = 74*v. Put 1\/5, 0, v, 8 in ascending order.\nAnswer: 0, 1\/5, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*r - 27 = 21, 28 = p - 4*r. Suppose -u = 3*o - 15, -4*o = o - p. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-1 + 9 + -15 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 25*g = 24*g - 4, 0 = -q - 4*g - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**3 + 6*v + 5*v + 0*v**3 wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.348201 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - y + 14. Let j be n(6). Let h = 56 + j. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3467*h**5 - 77*h**3 + h**2 + 3*h - 3853.\nAnswer: 208020*h**2 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 470, 1031, 1816, 2825?\nAnswer: 4058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/27 - (-548)\/(-36). Let z be -6 - (-3 + b\/(-6))*6. Let n(c) = -9*c + 9. Let m(q) = 2*q - 5*q - 4 + 7*q. Calculate z*n(r) - 7*m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 5*c**4\/4 + 20*c**3\/3 + 25*c**2\/2 + 10*c + 118. Determine u, given that h(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 143295.6 months?\nAnswer: 11941.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 s, and 1 m when four letters picked without replacement from {e: 2, r: 1, s: 2, j: 1, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5, 4, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 726109 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -254 - -233 - (-1185)\/57.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*n**2 + 18*n**3 + 2057*n**2 - 971*n**2.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -4, 0.24, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let u(z) = 163*z - 124038. Give u(c(l)).\nAnswer: -163*l - 124038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 + 5*i - 7. Let w(l) = -9*l**2 + 9*l - 13. Calculate 7*u(r) - 4*w(r).\nAnswer: r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 9*m**2 - 8*m + 22. Let c be n(-10). Suppose -c*q = -5*q + 108. Is (-6)\/(-4)*(-8)\/q*-24 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 18*a**2 - a - 10. Let i be j(-9). Let s(k) = 0*k**2 + 13*k**3 - 49*k**3 + k + 2*k**2. Is s(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1768)\/5525)\/((-3)\/5)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890020, 1780042, 2670064, 3560086?\nAnswer: 4450108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = 0, 5*i = 2*x - 4. Suppose 5*d - 6 = -x*r, 0 = d - r - 4*r + 15. Solve -5*m = -d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(91\/(-18) - (-75)\/15). Let j = u + -101. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 98 - 104. Let j = -101 + b. Solve -2*z - 5 + 1 = j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:28 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-237)\/12 + -5 - (-2 - 0). Let c = f + 23. Suppose c*x + 0 - 1\/4*x**2 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3992, 3989, 3976, 3947, 3896, 3817?\nAnswer: 3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.718 and -0.08418.\nAnswer: 0.06044124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43 less than -29745356?\nAnswer: -29745353.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - ((1 - -24) + -30 + 24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 2:17 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103498?\nAnswer: 2, 51749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-2\/9))\/c)**16\/((c\/c**(-8))\/c**(-12)) assuming c is positive.\nAnswer: c**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/30 + 5*j**4\/24 + 8*j**2. Let s be q(-7). Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 7, q: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0, 82, 4, -242 in decreasing order.\nAnswer: 82, 4, 0, -76, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -68. Is 10 a factor of (-2)\/1 + ((-2375)\/v)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 64*y**4 + 144*y**3 + 8*y**2 - 140*y - 72.\nAnswer: -4*(y - 18)*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 2399*s**7\/42 + 23*s**3\/6 - 3668*s. Find the second derivative of y(v) wrt v.\nAnswer: 47980*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + x - 4*x - 26 - 20. Let h be v(16). Suppose j = -h*j - 3*w + 21, 2*j + w = 13. Solve 2*q + i = -1, -4*q - j = 3*i + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a factor of 39493638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + 13) - -20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 133829, 134209, 134589?\n\"Answer: 380*g + 133449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 64\/10*-34*(-88)\/(-5984)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200 + 205. Suppose -a*r + 445 = 5*x, 2*x - 5*r = 32 + 111. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -133009556, -133009552, -133009546, -133009538?\n\"Answer: r**2 + r - 133009558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/(-552)*(-2)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 5) to base 14\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3*v - 17 = 4*v, 0*k - 63*v - 336 = -4*k + 605 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 13*r**2 + 12*r + 6. Let w be m(12). Let l be (w\/(-4))\/((-1)\/2)*1. Suppose h + 0 = l*t - 13, -4*t + 14 = -3*h. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1978838.999982 - -1978845. Let n = 2 - 8. Let q = g + n. Round q to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 40 = 9*r. Suppose -k = 5*f + 3 - 13, 3*f = -k + 4. Suppose r = 2*n - f. Solve -n*h - 16 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 15*q + 25. Does 9 divide m(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 1. Let o be m(-5). Let r be (-1 - (-7)\/o)\/(60\/(-32)). Sort -1\/2, r, 3 in descending order.\nAnswer: 3, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6422677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 112 = 16. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = -572126*l + 572130*l for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 61. Let h be ((-8)\/(-14))\/(2\/7). Suppose -2*a - h = -30. Calculate the remainder when w is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1764.75, -0.9, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*s + 9899, 1451 = s - 3*u - 1032. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a - 1. Let l(g) = -3*g**3 + 5*g**2 - g - 7. Let s(p) = -2*j(p) + l(p). Let q be s(4). Let f be (-5 + 1)\/((-2)\/q). Which is bigger: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(40\/40)*3*(-136)\/(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1289002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - ((26 - 8) + -10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from {a: 1, v: 1, t: 1, f: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -4*f - 2*f. Let w = -14 - f. Let a(i) = -16*i - 2. What is the remainder when a(-4) is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocoziizccloiiczckzo. What is prob of sequence zok?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 + -10 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409748148 divided by -21565692.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 3\/11, -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/(-3))\/4 + (-54)\/(-81). Suppose q*m - 1201 = 2*t, 0*m + 2*m + 4*t = 790. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 30 = -5*j, 0*j = s + 3*j - 8. Which is greater: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -2*m. Solve 4*b - 20 = m*b + 3*t, 15 = -3*b - 2*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:25 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.4, 76\/5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 - 2*b - b**2 + 3*b**2)*(-124465 + 203128 - 119891) as f + w*b + c*b**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22239789 and 73931.\nAnswer: 244637679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.22422 centimeters in nanometers?\nAnswer: 962242200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - -1) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 + -0.03. Let y = g + 0.32. Which is smaller: y or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1857390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13981?\nAnswer: 11, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 399, 1761, 4089, 7383, 11643?\n\"Answer: 483*k**2 - 87*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 369190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 7 - 7. Let u(s) = s. Determine u(h(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 7*s**4\/12 + s**3\/6 + 9*s**2\/2 - 16*s. Let t be 100\/(-7) - 2\/(-7). Is o(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950414 is divided by 372.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.83 - -0.17. Let t = -12 + w. Let o = -2 - t. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 9:26 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7412.578 years to decades.\nAnswer: 741.2578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**5 + 22*w**3 + w**5 - 14*w**3)*(-2 - 1 + 4).\nAnswer: w**5 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -52. Let o = d + -22. What is the tens digit of (-20)\/o + 4 - (-190)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z)*(6*z - 5*z + 8*z) + 61*z**2 + 63*z**2 - 10*z**2.\nAnswer: 123*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/12 - -1)*644. Find the common denominator of 13\/22 and y\/12 + 6 + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*g = 329, 0 = -h - h + 3*g + 215. Suppose -2*k - 7 = -h. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -25. Let y = a - -10. Let r be 1 - 4\/(y\/(-15402)). What is r rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882121?\nAnswer: 61, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 155348011 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*m**2 - 29*b*m + 118*m**2 + 3*m wrt m?\nAnswer: 2*b + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(7\/3)*q*q)\/q*q)**39)**(1\/30) assuming q is positive.\nAnswer: q**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64976368?\nAnswer: 2, 4061023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 8*i - 12*i + 2*i - 2*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8959201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-10)\/a*a)\/a)\/a**(-3\/8))\/(a**(-5)*a**(-7\/5)\/a*a))**(18\/13) assuming a is positive.\nAnswer: a**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/84 + 19\/28. Let d = -45\/2 - -23. Which is the second smallest value? (a) 5 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 4*f - 1. Let h be x(5). Let l(t) = 12*t + 5. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**5 - 28*g**4 + 68104*g**3 + 545008*g**2 + 817440*g = 0. What is g?\nAnswer: -130, -6, -2, 0, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113243473 and 113243473.\nAnswer: 113243473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 608300 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10422383 is divided by 573?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 1\/2*p**2 - 46 - 2*p - 1\/80*p**5 + 1\/24*p**4 + 7\/24*p**3. Solve r(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1480619, -1480621, -1480625, -1480631, -1480639?\n\"Answer: -r**2 + r - 1480619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - x - x + (107 - x - 107)*(1 + 3 - 5 + (-3 - 3 - 4)*(-1 - 2 + 1)) + 0 + 0 - 2*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/420*230\/(-736).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1. Let s = -6 + 10. Let r(t) = t + 0*t - 2 + 3. Let w be r(s). Let h(d) = -d - 6. Give w*a(j) - h(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123922 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1363*i**2 + 59*i**2 + 82*i**2. Let v(z) = 10*z. Calculate h(v(t)).\nAnswer: -122200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 30 = 3*k, -3*u + 0*k - k = -29. Let a be ((-2)\/(-6))\/(5\/75). Suppose -a*y = -c + u, 3*c - 16 = -0*c + 4*y. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 20*d**2. Let v(f) = 2*f**3 - 2*f**2 - 2*f. Let b be v(-2). Let t be g(b). Suppose 8*w - 391 - 1017 = t. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 5*q**2 - 17*q**2 + 151 - 142 + (-1 - 2*q + 1)*(0 + 0 + 2*q).\nAnswer: -16*q**2 - 2*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*d + 42, -16*p = -17*p + 3*d + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 50 - 302 = -4*m, m - 5*y - 100 = 0. Suppose -5*v + m = -30. Suppose 5*o + 8 = -2, -2*c - o = -8. Calculate the remainder when v is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 - 2*h**2 - h. Let y(m) = -9*m**3 - 2*m**2 - m + 125. Give 2*w(r) - y(r).\nAnswer: r**3 - 2*r**2 - r - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11246 (base 8) to base 5\nAnswer: 123044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 1663*k - 26049040.\nAnswer: (k - 5744)*(k + 9070)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + w = 6, -3*k + 5*w - 26 = -2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12452 + -12452.00014189. Round w to 6 dps.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/2, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/(-60)*(-1)\/(5\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 6. Let a be x(-7). Suppose 5*r - y + 23 = 0, -y = r - 3*r - a. Let j = r + 7. What is the closest to -1 in j, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 26*h**2 - 7*h - 258. What is o(-26)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -95*w**2 - 98*w - 1. Let t be b(-1). Solve -u + 2 = -2*l, 0 = 21*u - 25*u + t*l - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6572166 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 68185.\nAnswer: 409110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(35410*h**3 + 21155*h**4 - 35410*h**3) in the form k*h**2 + u*h**4 + n + p*h + s*h**3 and give u.\nAnswer: -42310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 2 - 3*q + 0. Suppose 3*i - 7 + 1 = 0. Suppose -4*j = m - 18, 2*m + i*j = 3*j. Determine a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/16 and -155\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, f: 2, m: 4, k: 3}. What is prob of sequence fmfk?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 69. Let n be -1 - (3 + j\/3)*-177. What is the highest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b**2 + 15*b**5 + b + 18*b + 9*b**5 - 19*b**5 wrt b?\nAnswer: 100*b**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 0.2 (b) 31 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203343 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54130 + 0?\nAnswer: -54130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27553, 27562, 27571, 27580, 27589, 27598?\n\"Answer: 9*x + 27544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = 9. Calculate the remainder when 34 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21540 by 28897.\nAnswer: -21540\/28897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*z + 0)*((z - z + z)*(-1 + 4*z + 1) - 2 + 2 - 2*z**2 + (-3*z + 2*z + 0*z)*(-3*z - 3*z - z)) to p*z**3 + n*z**2 + i + m*z and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10591 divided by 623?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 7) + 0 + 4. Put 0, 1, x, -8 in decreasing order.\nAnswer: 1, 0, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 415? (a) -2 (b) -2\/3 (c) -0.15 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/4 (b) 2 (c) 31\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62170.\nAnswer: 2, 5, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 38 (b) -1\/2 (c) 0.3 (d) 1650 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1257354209 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(945\/(-42)))\/2)\/(1\/(333\/15))?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*o = -o - 35, -26*y + 115 - 45 = 2*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*g**2 + 2858*g**2 - 1408*g**2.\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r - 21. Let t = 14 + 0. Is i(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27220191 to the power of 1\/2, to the nearest integer?\nAnswer: 5217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457732191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -66. Let v(n) = -n**3 - 14*n**2 - 11*n - 41. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4266 + 4281. What is the highest common factor of 955 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:45 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063796087 rounded to 3 decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)\/l*l)\/((l\/(l*l**13))\/l) assuming l is positive.\nAnswer: l**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 5*h - 2. Suppose 12 = -4*m - 4*f, -3*f + 2 = -f. Let o be i(m). Solve l + 0*l = -5*q + 13, 2*l = o*q - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-6) - 4\/(-12). Suppose a*z - 15 = -5. Is z >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1\/2, 0.4 in decreasing order.\nAnswer: 3, 2, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 20) + 10 + (-19 + 16 - 82)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 674470 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 - -5 - (-3 - 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67095642 divided by -6.\nAnswer: 11182607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/2, 5, 0.1, 3\/2, -1 in decreasing order.\nAnswer: 5, 3\/2, 0.4, 0.1, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((2\/(-5))\/((-2)\/(-10)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let m(t) = -t + o*t - t**2 + 7 - 4*t - t. Calculate the remainder when 4 is divided by m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3702600 divided by 22.\nAnswer: -168300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*n - 1003, 5*n + 29*u - 25*u + 1259 = 0. Is -4\/9 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-22)\/10 - 2)*150\/(-225).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58669, -58263, -57159, -55009, -51465, -46179?\nAnswer: -38803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 42*l**2 - 72*l + 230. Give q(-40).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2172959, 4345919, 6518879?\nAnswer: 8691839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 43*j**3 - 18*j**2 - j + 7. Let c(s) = 43*s**3 - 13*s**2 - s + 5. Let p(k) = 4*c(k) - 3*n(k). Calculate p(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -48*v**2 - 4*v - 1. Let l(p) = -49*p**2 - 5*p - 1. Let q(d) = 3*l(d) - 4*z(d). Does 13 divide q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - (-2)\/9. Suppose 183*q + 153 = 166*q. Put b, q, -1 in ascending order.\nAnswer: q, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -683959 divided by 7?\nAnswer: -683959\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*z + 10155 = 112*z + 615*z + 3955 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:07 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/m**(3\/2))\/(m*m**(-2\/9)*m*((m\/((m*m**(-4))\/m))\/m*m)\/m))\/((m\/(m\/m**(-5)))\/m**(-8)*m**3*(m**(-1\/8)*m)\/m*m) assuming m is positive.\nAnswer: m**(-659\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 3*c**2 - 22*c - 16. Let v be k(-2). Solve 3*s - v*w + 13*w = -7, w - 2 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**3\/3 - 36. Let m(n) = 46*n + 3. Determine m(k(q)).\nAnswer: 92*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3558577 or -3558771?\nAnswer: -3558771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29364 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*b**2*m**2*q**3 + 15*b**2*m**2*r + 2*b**2 - b*m**2*q**2 - 5*b*m*q**3*r - b*q**3 wrt r?\nAnswer: 15*b**2*m**2 - 5*b*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 275\/119 + -32\/17. Which is the closest to 3? (a) k (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 2. Suppose -110*u + 101*u = -27. Let k(p) = -p - 1. Let t(r) = u*k(r) + l(r). What is t(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001001011010101 - 110?\nAnswer: -1001001001011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -226, -706, -1638, -3172, -5458, -8646?\nAnswer: -12886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 215, 310, 403, 494, 583, 670?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 3 = 0. Suppose -8*l = -7*l - 2. Suppose -l*f = 3*j - 26, -4*f = 4*j - 3*f - 33. What is the least common multiple of j and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-9 + 11 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:18 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2 + (sqrt(6)\/sqrt(48))**2 - ((sqrt(512))**2 + sqrt(2) + -1))*-5.\nAnswer: -115*sqrt(2) + 20435\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1001111010101 (base 2) to base 7\nAnswer: 20542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*r + 95, -5*q - 2*r + 95 = 2*r. Let v = -4 + q. What is the remainder when 57 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Which is greater: j or 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7572589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1774*f. Let z(o) = -o**2. What is u(z(p))?\nAnswer: 1774*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*y - 2*y - 8 = 0, 40 = 5*r + 5*y. Suppose -r = -5*n + 1. Calculate the common denominator of 40\/11 and (4\/9)\/(n\/(-17)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20146.3 rounded to the nearest one hundred?\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 847010 to the nearest 10000.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18226316 or -1.3?\nAnswer: 18226316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 + x**2 - 653*x**4 - 2*x + 652*x**4 + x**2 + 6*x**3 to the form g*x**3 + y*x**2 + z + l*x + m*x**4 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13100166 and 375632.\nAnswer: 104801328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from {p: 3, k: 1, b: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109616207.\nAnswer: 3, 7, 19, 2780993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazaaiizrii. What is prob of picking 1 r and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1390929*u - 8*u**3 - 1390930*u - 57*u**4 - 6*u**3 + (-3*u**3 + 3*u**3 + u**3)*(6*u - 2*u - 2*u).\nAnswer: -55*u**4 - 14*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/45 - 3*(-4)\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8728 = -5*u - g, u = -g - 336 + 2080. What is the remainder when u is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82111453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 367, 970, 1807?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*j*r**2 + 50*i*j + 57*i*r**2 - 905*j*r**2 + 4*j - 133*r wrt r.\nAnswer: 2*i*j + 114*i - 1810*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 9. Suppose -k + 4 = 3*k. Let w = -4 - k. Let h be r(w). Solve -3*u - 11 = 5*v + 2, h*u - 6 = -2*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/31)\/b**(6\/7))\/((b*b**28\/b)\/b**(2\/15)) assuming b is positive.\nAnswer: b**(-93286\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 - -237. Let k(i) be the first derivative of 1 + 0*i + 0*i**j - 2\/3*i**3. Let t(o) = -6*o. Give t(k(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*1\/2*-2. Let c = 3 - p. What is the second derivative of -3*r + 0*r**4 + r**4 + r**c wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/120 + 3*q**5\/20 - 2*q**4\/3 + q**3 + 3*q**2. Let x be o(7). What is the units digit of 0 - (-2 + x\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1122 (b) -45.1 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 219951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) -5 (b) 124 (c) -0.8 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 245 and 77.\nAnswer: 18865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, z: 4}. Give prob of sequence ez.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942305 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5 + (-1 + 2 - 3)*(1 + 0 + 1))*(4 + 3*x - 4) - 9*x - 9*x + 11*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7614, 7635, 7646, 7641, 7614, 7559, 7470?\n\"Answer: -r**3 + r**2 + 25*r + 7589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9625*i - 3*i**3 + 9625*i - i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -66*b + 23. Is n(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2251 + 1573 = 16*a. Are 238 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**3\/3 + 215*h**2\/3 - 60*h - 420 = 0?\nAnswer: -2, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g**4 - 10*g**3 + 26*g**2 + 2*g - 12 = 0 for g.\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/6*(-3 + 6). Suppose -2829 + 606 = -p*a. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:10 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1479 (base 13) to base 14.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 56 and 49 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2084 is divided by 292?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 7*q**3\/3 + q**2 + 9*q - 2. Let h(u) = -3*u**2 - u - 4. Let c(a) = a**2 - 5*a. Let x be c(4). Give x*t(v) - 9*h(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5825, -24267, -54997, -98009, -153297, -220855?\nAnswer: -300677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11000010?\nAnswer: -11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Let t = 3 + 5. Let w(b) = 3*b**2 - 5*b**2 + 9*b**2 + 2*b**2. Let p(v) = t*u(v) - 3*w(v). Let c(d) = 3*d**2. Give p(c(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.8. Let c = 0 - s. Let h = -222\/5 - -45. What is the second biggest value in 3, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 3 - 318\/(-3). Let k = -103 + f. Let l be 6*12\/(-27)*(k - -202498). What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 757530 = -439243. Suppose -4*i = -2*d + 393562, 0 = -4*d - 2*i - 2*i + 787076. Let l = s - d. Round l to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14678\/15 - -979. Let i = 17\/60 + q. Which is the closest to 2\/3? (a) 3 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -629922, -2519872, -5669790, -10079676, -15749530?\n\"Answer: -629984*s**2 + 2*s + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*j**3 - 2277*j**2 - j + 179803.\nAnswer: 552*j - 4554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 15. Let l be s(0). Let o(h) = -h + 13. Let a be o(8). Solve -l = -4*c + a*u + 2, 5*c - 10 = -5*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246402 and 22113?\nAnswer: 1724814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 707 + -705. Does 7 divide 1*((-13398)\/12)\/(-11)*b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/5)*(p*p**(-2\/7))\/p*(p*p*p**(-1\/4)*p)**(-4\/19) assuming p is positive.\nAnswer: p**(-442\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1027 - 118108\/115. Let z = -883\/2990 - v. Let b = 2\/571 - -3991\/1713. What is the common denominator of b and z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -508960460 to the nearest ten thousand.\nAnswer: -508960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30365 - -43270. Let j = z + 2526. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 819 from -0.1.\nAnswer: -819.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 + 6*h - 35. Let l be n(7). Suppose 0*g = -g + 5. Solve -3*a + l = -g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.15 - -1.13. Let z = y - -0.02. Let t = z + 8.99999946. Round t to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u, 5*r - 3*u = -u + 6777. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1626, -1655, -1682, -1707?\n\"Answer: m**2 - 32*m - 1595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -5*r + g, -5*r + 99*g = 102*g - 34 - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/(x*(x**(-3\/8)*x)\/x*x))**17)**(43\/2) assuming x is positive.\nAnswer: x**(2193\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175340 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 11*n**2 + 45*n + 233. Calculate a(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178051*f**3*v**4 - 226807*f**3 with respect to v.\nAnswer: -712204*f**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 85 - 169 = 4. Solve -183 = -c*l - 147 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2301, 4718, 7139, 9564, 11993, 14426, 16863?\n\"Answer: 2*n**2 + 2411*n - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.665213cm?\nAnswer: 0.07665213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, 1 x, and 1 i when four letters picked without replacement from {z: 1, x: 1, l: 1, i: 1, n: 1, y: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - g + 3 + (-4 + 3 + 4)*(-5*g + 0*g + 3*g) + (-2 - 4 + 3)*(g + 0 + 0).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/9))**(-20) assuming a is positive.\nAnswer: a**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:37 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2934593 divided by -5.\nAnswer: -2934593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 15*y - 1. Let o be g(-15). Calculate the common denominator of (-7)\/(-2)*(o + 8\/26) and 95\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.97311386 to four dps.\nAnswer: 0.9731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 28, -6, -4 in ascending order.\nAnswer: -6, -4, -2, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 15 - 59)*(3 - 1 + 0)*(2*h - 2*h - 2*h).\nAnswer: 432*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/100)\/(126\/210)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 24*t**2 + 20*t - 13. Let u be f(25). Let p = u + 215. Let b = 80 - p. Solve 0 = -v - 3*r + 18, b*v + v - 22 = -2*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -w + 25, 3*w - 5*h - 75 = -h. Suppose 9 = 4*t + w. What is the second biggest value in t, 1\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.1, 33 in ascending order.\nAnswer: -0.1, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(s - s - s) + 6*s + 25*s + 18*s - 4*s - s + 3*s.\nAnswer: 49*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 545332?\nAnswer: 545352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 e when three letters picked without replacement from {g: 3, b: 1, z: 2, n: 2, e: 2, d: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 101 = 5*i + 26, 0 = -4*i + 16. Let q = 23 - s. Calculate the least common multiple of q and (198\/72)\/11*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)\/v)\/(v\/(v\/(v*v*v**(-1\/12))))*v\/((v**(-7)\/v)\/v)*v**(-9) assuming v is positive.\nAnswer: v**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 889941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -31 (c) -3.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1843 = 55*l - 54*l. Let u = l + 8912. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 13469.\nAnswer: 67345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - c + 2 + 2)*(-4*c**3 + 5*c - 5*c).\nAnswer: 4*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -324?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/76 and -53\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247611 and 73749.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 14*d - 18*d = 7, -3*d = 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29047859 is divided by 855?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69.2 + -69.15. Is 3.6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 783990 and 182931?\nAnswer: 5487930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 962, 3174, 7456, 14498, 24990?\nAnswer: 39622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 1. Let k(f) = -1051*f - 14. Let t(s) = -6*a(s) - k(s). Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14259 + -9472. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/72 and -59\/306?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + (-28)\/(-6). Let j = -3 + h. Suppose 0 = x - j*x. Let k(v) = v**3 - v**2 + v - 7. Give k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001242872 rounded to 7 dps?\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 7*c + 5. Suppose 0 = -0*z - 2*z. Suppose v - 7 = -q, 4*q - 5*v + 0 - 1 = z. Let w be (-3 - -13 - q)\/(2 + -1). Calculate a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/16 - 3*j**3\/4 + 23*j**2\/8 - 15*j\/4 + 561. Suppose d(s) = 0. Calculate s.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -124 - 103*g**2 - 47*g**2 + 36 + 22*g**2. Let p(n) = 64*n**2 + 43. Let k(d) = 4*m(d) + 7*p(d). Find the first derivative of k(f) wrt f.\nAnswer: -128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*c**3 - 5*c**2 + 114*c + 1098191.\nAnswer: 291*c**2 - 10*c + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 2\/(8\/(-44))*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3 in descending order.\nAnswer: 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1523*y + 11522*y + 1142*y.\nAnswer: 14187*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -915, -914, -913, -912?\n\"Answer: q - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -47. Suppose -s = 4*a - 1. Suppose 0 = -3*k - 5*l - a*l + 2394, 4*l = -5*k + 4003. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-7)\/(21\/(-12))). Let r = -127 - -637\/5. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.3 (b) -4 (c) -72.327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65858 divided by -34?\nAnswer: -1937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -11*q + 6*q - 4*b, 0 = 3*q + b - 110. Is q bigger than 394\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 9. Let q be r(-13). Suppose -q - 390 = -10*y. What is the smallest common multiple of 6\/5*(-80)\/(-12) and y?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + -1 - sqrt(5))*-5)**2*-5.\nAnswer: -150 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4. Let y(z) = -z**2 - 5. Let m(r) = -5*o(r) + 4*y(r). Let c(n) be the first derivative of -5*n**3\/3 + 10. Calculate m(c(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*v + 51, -3*k - 9 = 4*v - 48. Let q(i) = k*i + 15*i + 4 - 25*i. What is q(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -18, 2, 2\/9, 3 in increasing order.\nAnswer: -18, -5\/3, 2\/9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1917 and 30.\nAnswer: 19170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 2. Let g be v(-4). Let i = g + 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 2*i**2 - 7*i + 4. Let u be o(-4). Let x(z) = 3*z + 814. Let v be x(u). Suppose -14*s + 418 = -v. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/2981 and 73\/46612.\nAnswer: 512732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3983, 8009, 12079, 16193, 20351, 24553, 28799?\n\"Answer: 22*s**2 + 3960*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l + 6. Let f be (-2)\/((-24)\/(-9) - l). Let b(g) = g**3 + 4*g**2 + 2*g + 1. Is 4 a factor of b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 33*d**2 - 2*d**2 - 12*d**2 + 33*d**2 + 5*d**2. Let j(p) = -252*p. Give s(j(r)).\nAnswer: 3619728*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -471*n - 163004. What is k(-346)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-40))\/((-189)\/28). Let z(f) be the first derivative of 7\/9*f**3 - 1\/12*f**4 + 4 - 4\/3*f - 1\/5*f**5 + 0*f**2 + q*f**6. Find b such that z(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 20*o - 19*o + 31, 0*u + 5*o + 0*o + 165 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(2600)*-3 + sqrt(2600))\/sqrt(2).\nAnswer: -19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 30997643\nAnswer: 1\/30997643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 533.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. Suppose 55 = s*p + 15. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 12) in base 10?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 34*h**3 + 31*h**3.\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 531*q + 9638. Calculate i(-19).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 43 - 3*l - 37 - 6 to the form z*l + g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/20 + 7*w**5\/120 + w**4\/2 - 4*w**3\/3 - 18*w**2. Let s(z) be the first derivative of k(z). Is s(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, -0.39, -3\/2, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208.77 + -531.\nAnswer: -322.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 4:57 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -dd?\nAnswer: e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*g + 272*g + 1296 = 85*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 + d**2 + 1. Let a be 79\/(-3) + (-20)\/30. Let w = a - -25. What are the prime factors of p(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**3 + 2*v**2 - 2*v - 31. Let j(x) = 3*x**3 - x**2 + x + 16. Let g(l) = 2*b(l) + 5*j(l). Give g(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {e: 2, w: 1, m: 4, v: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-36)*3 + (-80)\/336.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i**(-4))\/(i**5\/i**(-1)) assuming i is positive.\nAnswer: i**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -478c0 (base 14) to base 7.\nAnswer: -1325030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**2 + 2253*s - 99. Calculate c(-161).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454710241 a multiple of 9353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1201 + -1202. Suppose 25*q + 538 + 212 = 0. Put f, -5, q, 4 in decreasing order.\nAnswer: 4, f, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 - -10?\nAnswer: -10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 25.82 (c) -2 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y - 8. Suppose 3*m + m + y = 0. Put m, 5, -4 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19422 - 7773 = -49*v. Calculate the highest common divisor of v and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, -0.4, 174061, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - q + 9. Determine z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -99 times -33\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17253.8 + 17254. What is the smallest value in 2\/4895, l, -5, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 9*m - 4 = 0. Let n be m + (-1122)\/(-4)*2. Suppose 3*u + 2*k - n = 0, 0 = 3*u - 0*k + 4*k - 559. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b**5 + 4645*b**4 - 39775*b**3 + 70935*b**2 + 91900*b - 23500 = 0.\nAnswer: -1, 2\/9, 5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 598\/27 - (-14752)\/(-99576)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56797?\nAnswer: 13, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2118429\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -94 (b) -136 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3920393*i**2*m - 2*i**2*o**2 + i**2*o + 4*i**2 - 14*m*o**2 - 4328834*o**2 with respect to m.\nAnswer: 3920393*i**2 - 14*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/((-5)\/2*(-48)\/20)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 59 = -3*z. Suppose -20 = -9*j + 29*j. Calculate the remainder when j\/(-2)*(z + -1) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022667?\nAnswer: 3, 340889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -163. Suppose r = 5*g - 0*g + 15. Let s(c) be the third derivative of -c**4\/12 + c**3\/3 + c**2. Give s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44+-260\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:54 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let k = -4 - b. Let x = k + 8. Solve x*d - 4 = -2*g - 2*d, -5*d = -4*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1351, -83, 4.\nAnswer: -83, 4, 1351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1320 and 1686575.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8043.\nAnswer: 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24759 * 0.4.\nAnswer: -9903.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 29*x**2 + 8*x + 228. Let k be n(-29). Which is the fourth biggest value? (a) 1\/10 (b) 2 (c) k (d) -2\/371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d0b12e - -5?\nAnswer: 1d0b133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955*n = -5*r - 959*n + 2690, 2*n - 1078 = -2*r. What is the greatest common divisor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - k + 30. Suppose 4*p - 10 = -2. Calculate the remainder when p is divided by 2*(2 + k\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 13. Let u be n(4). Let o = 1.2 + -6.2. Let z = 8\/5 - 34\/15. What is the nearest to u in z, o, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 801*p. Let f be m(5). Suppose -5*s + f = 3*w, -2*s + 823 = -s + 5*w. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 1 - (-8 + (9 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.7 - -10. Let y = 0.89 - 0.79. Let o be (-1)\/(3 + 0\/2). Which is the closest to o? (a) y (b) 2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104210 by 5.\nAnswer: 20842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 + -102. Is z a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**2 + 226641*o - 1388172 wrt o?\nAnswer: 6*o + 226641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, 1 t, and 1 f when four letters picked without replacement from ttajf?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1 + (4 + 0 - 4). Let k(g) be the second derivative of -4*g + 0*g**u - 1\/6*g**3 + 0. Let a(l) = -3*l**2. What is k(a(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + -11 - (-24 - 22).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 690*n**2 - 27*n - 67. Is u(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 264820\/19 or -0.3?\nAnswer: 264820\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 734 + -470. Is 0\/(-1) + -7 + m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 14. Let i(g) = -7*g**2. Give i(z(b)).\nAnswer: -7*b**2 - 196*b - 1372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8666979?\nAnswer: 3, 431, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 2*u + 0*u + (-u + 0*u + 2*u)*(3 + 2 - 7) + 4*u - 4 + 4 + 307 - 22*u - 307 + 19*u - 59*u - 36*u as q*u + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13036*i**4 + 425*i**3 + 61*i**3 + 13035*i**4 + 0*i + 0*i + 810*i**2 wrt i?\nAnswer: -24*i + 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**5 + 4*x**4 + 24*x**3 - 12. Let q(g) = g**4 + g**3 - 1. Let c(u) = -f(u) + 12*q(u). What is m in c(m) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by -170.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455027 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(40)\/sqrt(4))\/((sqrt(45)*-2)\/sqrt(9)) + (sqrt(400) - (-5*sqrt(400)*1 - sqrt(400)))\/sqrt(8))**2 + -2.\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544920 times 0.1039?\nAnswer: 56617.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r\/((r*r*r*r*r*r**21*r*r)\/r)*r)\/r*r)))\/r**(-2))\/(r\/((r\/r**(-28))\/r)*r*r**(-2\/19)\/r))**(-2) assuming r is positive.\nAnswer: r**(-156\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - 6*u + 10. Let z = 19 + -15. Let f be x(z). What is the greatest common factor of f and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 990533, 5, -1.\nAnswer: -1, 5, 990533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62822743 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6614, 1, -3, 3, -4, -2 in ascending order.\nAnswer: -6614, -4, -3, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*n = -18, -4*n + 4 = -5*p + 12. Solve -3 = p*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -c - 57, 5*g - 43 - 29 = -4*c. Let v = g - 10. Solve 12 = -v*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58544 = 4381*w + 37669 - 443511 for w.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139 and 6?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 3) to base 5\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 927 at least 944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-17)\/(-5) + (-2 - 1)). Suppose -79 = -u*n + 76. Calculate the remainder when n is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10650?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -18*g + 2. Let i(k) = -22*k + 3. Let q(j) = 2*i(j) - 3*u(j). Calculate q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:01 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anan when four letters picked without replacement from anannnnaaanana?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3648 divided by 3\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 30*m**2 + 3*m + 77. Let c be r(-30). Let z be -1*(4\/6 + c\/(-3)). Let a(b) = -b**2 - 5*b - 7. Determine a(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1900) + 4).\nAnswer: 12 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.2, -3, 7, -1.3, 0.2, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5061 + -1863. What is the greatest common divisor of t and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3196.965 millimeters to micrometers.\nAnswer: 3196965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.12. Let s = d - 0.57. Let h = 0.03 - -2.97. What is the third biggest value in h, s, 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -98. Solve 0 = -4*j + 4*r + 24, t*j + 3*r = 7*r + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 + 0 - -2. Let j = -19\/7 + g. Let u = 0.13 + 0.17. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(112) + 0 + sqrt(112) + sqrt(112))**2*5*5.\nAnswer: 125997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109751\/77 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyyyyyyggggy. What is prob of sequence gy?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -8\/3, -1\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54.6 - 55.1. What is the closest to -0.1 in -21, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106268 (base 9) to base 6.\nAnswer: 1210355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 6. Suppose 0 = -3*r - f + 26, -105*f = -104*f - 2. Give o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + k - 26 - 75 - 4.\nAnswer: k - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38130 and -0.5.\nAnswer: 38129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11678*h**5 + 4*h**4 + 9*h**3 + 2*h**2 - 4*h - 275679.\nAnswer: 700680*h**2 + 96*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 1621080 = 22*t - t. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1506844, -1506843, -1506842, -1506841?\n\"Answer: f - 1506845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -60*k - 5. Let z(g) = -56*g - 5. What is 6*h(i) - 5*z(i)?\nAnswer: -80*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(-66)\/(-66).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*r + 170 - 170 as x + v*r and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -87?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6526 and -6.49.\nAnswer: -42353.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65321 + -32484. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/2313780 and 43\/1605480.\nAnswer: 78668520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4564*h + 6 + 8 = -4565*h, 5*h - 74 = 2*g - 11*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -3)*(-1 + 2). Let v = r + -6. Let n = v + 2. Calculate the greatest common factor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(7 + (-60)\/8). Let q be (-3 + 7)\/((-8)\/(-6)). Suppose -q*f - 1 = -13. Solve l + 24 = 5*l + u*t, f*l + 8 = 5*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1337028 and 127\/23892?\nAnswer: 242002068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09297 - 0.07797. What is c rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 4*m - 5*m - 10)*(1 - 1 + 2*m) as b*m + i*m**2 + z and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -0.12. Which is smaller: -0.5 or a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 3*a + 2. Let w be r(1). Let x be ((-8)\/(-2))\/w*0. Solve 0 = l - x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 + 3 = 0. Let l(z) = z. Let w(f) = 6*f + 2. Let h(x) = k*w(x) + 5*l(x). Let b(j) = 7*j + 1. Determine -8*b(o) + 5*h(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7105 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 3, -1, -21, -7 in descending order.\nAnswer: 3, -1, -5, -7, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 13*g + 44. Suppose 4574 = 3*v + g*f - 6363, -5*v + 2*f + 18255 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 + v**3\/6 - v. Let g be s(0). Let m(p) = g + 2*p - p**3 + 1 - 3*p**2 + 4*p**2 + 2*p**3. Give m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -24 (b) 7 (c) 0.614 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 34 = 9. Solve 15 = k*q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 4*l**2 - 2*l. Let v be g(-2). Let s = 0.12 + -11.02. Let r = 11 + s. Which is the closest to r? (a) -2\/3 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2861*r**3 - 4*r**2 - 4. Let x(y) = -2048475*y**3 + 2865*y**2 + 2865. Give 2865*n(q) + 4*x(q).\nAnswer: 2865*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -20*m + 31*m. What is the nearest to 3 in -0.5, -5, 4\/3, m?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10860*q**4 + 2*q**2*s**3 + 880*s**3 wrt q?\nAnswer: 43440*q**3 + 4*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15705074 divided by -803?\nAnswer: 19558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l + 3 + 0*l**2 - 1\/6*l**4 - 1\/2*l**3. Let w(b) be the first derivative of k(b). Find the second derivative of w(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2480347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5486821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -245*u + 104 = 5004 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32145797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from jpjjjjpppj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 63 - 484678\nAnswer: -484615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4335576 is divided by 1429?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yab when three letters picked without replacement from {j: 1, b: 2, a: 2, y: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/16)\/(45\/(-30)). Let i = -13.65 + 15.65. What is the third biggest value in j, i, 0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:18 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 + 2516*g**2 - 4*g - 17380 with respect to g.\nAnswer: -6*g**2 + 5032*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296985 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 510943.\nAnswer: 510943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 15, -0.1, 27, 10\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437260319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round 302.565 to the nearest integer.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = 3*y, -2*y = -7*y + 15. Let g(p) = 2*p + 9. Let j(m) = 82*m - 43*m - 45*m - 28. Determine w*g(q) - 2*j(q).\nAnswer: -2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:12 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 - 99*y**3 + 96*y**2 = 0. What is y?\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2991 - -1383. What is the highest common factor of s and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 divided by 4.\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.64 + -0.6942. Let n = h - -0.1942. Which is smaller: -0.17 or n?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 - -4.28. Let i = -0.39 + f. Round i to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000011001101010 (base 2) to base 3\nAnswer: -10102011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.9 - -10.196. Let z = 0.29761 - j. Round z to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389568?\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*x = 1726, 2*d = -5*x - 258 + 1128. Suppose 0 = -5*q + r + 460, 6*r = -5*q + r + d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77.06 + 81. Let i = s - -0.06. Let r = 1.6 - 1.2. Sort i, r, -3\/7 in descending order.\nAnswer: i, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1065 + 985.12. Let v = t + 80. Which is the second biggest value? (a) 1 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 51*x**2 - 47*x - 242. What is the remainder when 4316 is divided by q(52)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*q + 5, 2*q - s + 5 + 0 = 0. Let c be (400 - q)\/((-9)\/(-98775)). What is c rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.05, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*a - 103, -134 = -4*y + 5*a - 10*a. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h - 43*h**2 + 43*h + 42*h**2.\nAnswer: -h**2 + 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4)\/(-5)) + 251\/1255?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 10781398*k**2\/9 - 10781392*k\/3.\nAnswer: -2*k*(k - 5390696)*(k - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17740 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173096 is divided by 86535?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9264\/3860)\/(1\/(-5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (673 + 518 + 588 + 446)*(2*p - 4*p + 3*p) as f*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 1, -75 in descending order.\nAnswer: 51, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0596? (a) -10 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 339, 690, 1157, 1734?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000110000101110 + -1100001?\nAnswer: 110000101111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 7. Let y = -4 + b. Solve x + 16 = -y*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7*c - 5*c = 8, 16 = -4*p + 4*c. Let i(s) be the third derivative of p + 0*s - 1\/12*s**4 + 0*s**3 - 1\/15*s**5 + 1\/20*s**6 + 2*s**2. Factor i(l).\nAnswer: 2*l*(l - 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 14\/19?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 1540, 3868, 7126, 11314, 16432?\nAnswer: 22480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*-1*(273\/52)\/(-7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 11. Suppose 3*j + 6*w = w - 27, 4 = -4*j + 4*w. Give l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10030332 (base 5) to base 10\nAnswer: 80092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06903 - -10.77797. Round s to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 3)**2 - (-2*(sqrt(7) + -2))**2 - ((-2*sqrt(84))\/sqrt(12) - (sqrt(112) + (sqrt(112) - (sqrt(112) + 3)) - sqrt(112))).\nAnswer: 72*sqrt(7) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 79. Suppose 5*n + 429 = c. Let y = n - -114. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5078*k - 106425. Determine w(21).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 739, 749, 759, 769?\n\"Answer: 10*t + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -322, -410, -502, -598, -698, -802?\n\"Answer: -2*a**2 - 82*a - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:12 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5187?\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -40. Let t be -12 - (0 + c\/3). Let h = -15 - t. Let i(q) = -q + 2. What is i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*h = 149*h - 238036. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -5) + (-47 - -3) + 55.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + -1 + 2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 0.6. Let o = -6484.3 + 6484. Sort 2, l, o, -4.\nAnswer: -4, o, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 3, k: 1, d: 1}. Give prob of sequence nnnm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 - 5646*q**4 - 3998654*q**3 - 19604946*q**2 + 174366568*q - 238233720 = 0.\nAnswer: -1409, -10, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -608598?\nAnswer: -1\/202866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-2)\/(-3)*(-363)\/242).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/((952\/294)\/17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12400388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -284*f**2 + 7*f - 1. Let z be x(1). Let q = z - -279. Let n(a) = -a. Let t(i) = 10*i. What is q*t(p) + n(p)?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501092 is divided by 829.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 509a6 - 3?\nAnswer: 509a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 418413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 1189*s - 1 + 18 - 1188*s.\nAnswer: s + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55937 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3643*p + 3647*p + 2 = -j, -42 = -3*j + 4*p for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ninn when four letters picked without replacement from nnnxiiiniinii.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1) - (672\/(-504))\/(34\/(-3)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:23 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 + o - 1. Suppose 5*z = -c - 20, 4*c - z = -0*z + 4. Let y be t(c). Let n(x) = 124*x**3 - 1. Let k be n(y). Round k to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 + -114. Let x = 101 + v. Let p = x + -58. Is p at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 - c - 3. Let l be t(-3). Suppose -3*v - 3 + 6 = 0. What is the units digit of 3 + (1 - (v + l))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-38352)*-51*880\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4795)\/10*4\/(-7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*l - 32, 5*l + 4*b = 187 - 114. Solve -2 = -l*r + 12*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3120.63 micrometers to millimeters.\nAnswer: 3.12063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, p: 5, r: 6}. Give prob of sequence prr.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 + 273*b**3 - 1086*b**2 - 576*b + 5280 = 0. What is b?\nAnswer: -11, -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 - 1)) + 12 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.232 (b) 1\/5 (c) -4 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6*104\/(-273).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 27*g**3 - 15*g**2 - 31*g - 46. Let y(q) = -5*q**3 + 3*q**2 + 6*q + 9. Let j(n) = -2*r(n) - 11*y(n). Give j(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97971613.\nAnswer: 53, 79, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d5 (base 14) in base 7?\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11101000010000101 (base 2) to base 7\nAnswer: 1003461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(3\/(-12)). What is the highest common factor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77954.3 + -14476.\nAnswer: 63478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -248*z - 36. Let i(s) = -744*s - 103. Let h(n) = 6*i(n) - 17*w(n). What is the units digit of h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/330)\/(((-13)\/26)\/((380\/(-8))\/19))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t + 1841 = -739. Which is the nearest to 0? (a) t (b) -1\/2 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 5. Let a be (1 - 3) + (3 - 7). Let g be u(a). Let p be (1 - 1 - 5)\/(-1). Solve -j + g = p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006299069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + u**2 + 14*u + 6. Let w(h) = -4*h**3 + 2*h**2 + 27*h + 11. Calculate -11*j(v) + 6*w(v).\nAnswer: -2*v**3 + v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Let 3*a**5 + 0*a**g - 2*a**4 + 3*a**3 - a**3 + 2*a**2 - 5*a**5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*l + 5981, -18*o - 3*l = -17*o - 1995. What are the prime factors of o?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 - -134. Which is the second smallest value? (a) -2\/9 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/((-3)\/(-6)). Let c be p\/(((-4)\/18)\/(-1)). Let l be (24\/(-32))\/(30\/16 - 2). What is the highest common divisor of c and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**3 + 0*l + 1\/12*l**4 - 2*l**2 + 0. Give o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.135*-0.1.\nAnswer: 1.8135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56193, -115013, -173833, -232653?\n\"Answer: -58820*f + 2627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + 22\/15. Let h = 105627\/13 + -8125. What is the fourth smallest value in 4, h, 3, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344\/(-42) + (5 - 0 - 1 - -10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3038, -1, 3 in decreasing order.\nAnswer: 9, 3, -1, -3038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-1)*(-30)\/(-8). Let a be r*((-2)\/2)\/1. Suppose -2*n + 29 = -a. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*w = -2*c + 34, -w = 2*c - 13. Suppose -r + 2*f = c, f + 0*f + 5 = 3*r. Suppose 7*h + r*h = 150. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805373 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdnyh. What is prob of sequence nhd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -5*n**5\/4 - 11*n**4\/3 + 28*n. What is the third derivative of j(i) wrt i?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 866*h**2 + 25762*h + 24894.\nAnswer: -2*(h - 461)*(h + 1)*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 5\/2, 3, -1\/4, -1.6, 3\/2, -11.8?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97 or 393\/4?\nAnswer: 393\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.117 + -0.077. Let q = -0.04 + y. Let z = -1 - -1.1. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/(2\/12*3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 4*x + 54. Let c(n) = n**3 + 7*n**2 + 3*n - 20. Let z be c(x). Sort 0, 21, -5, z in ascending order.\nAnswer: -5, z, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208) + (sqrt(208) + sqrt(208) + sqrt(208)*1 - sqrt(208)) + sqrt(208))**2.\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 136\/(-6) + (13 - 7) and (-7 + 1)*2\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*j - 285, 5*j = 2*r + 3*r + 365. Let t = 361\/5 + r. Which is the nearest to 0? (a) -5 (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.7436 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**3 + 0 + 3*f - 1\/2*f**2 - 1\/4*f**4. What is d(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/7))**(2\/93)*p*p\/((p*p**10*p*p)\/p)*p**(2\/43)*p*p)**(-13\/5) assuming p is positive.\nAnswer: p**(193180\/9331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2266407 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 3*t**2 - 3*t - 3. Let o be d(4). Let p be (3\/(-6))\/(189\/30). Let y = p - -2\/9. Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:50 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + -163. Solve -6*t = -r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 95966.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 57)\/(6\/4). Suppose 4*r - c = -4*s + 38, 2*s = 4*r + 32. What is the lowest common multiple of 22 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x - 2. Let n(d) = -7*d**2 + 5*d. Let l(w) = 15*w**2 - 11*w. Let i(o) = -10*l(o) - 22*n(o). What is t(i(f))?\nAnswer: -36*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235933 and 126274?\nAnswer: 8965454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((9\/(-21) - -1) + 154194183\/154) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -3*sqrt(72))\/sqrt(12))\/(sqrt(3) + (2*sqrt(15))\/sqrt(5)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 16 = -4*x + 124, 3*i - 2*x + 374 = 0. Are i and -132 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 51*d - 36*d + 59 - 6. Is u(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511 - 4*c - 279 - 227.\nAnswer: -4*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvnnivnnvvvqnnvvn. Give prob of picking 1 n and 3 v.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33239.76m?\nAnswer: 33239760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 13, v: 3}. What is prob of picking 1 w, 1 v, and 1 y?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 - 4*s + 4. Let h(b) = -b**3 - 6*b**2 - 4*b + 7. Let w be h(-5). List the prime factors of l(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60946429 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 16 = 4*t, 4*t = 4*k - 32. Let d be (1 - 1) + k\/4. Suppose -c + d = -6. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-12 + (-4)\/1). Is (-568)\/y*1*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let x be z(0). Let i = -175 - -190. What is the remainder when (x - -2)*22*1 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 12489.\nAnswer: -4\/12489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -2 - (9 - 9). Let v(y) = 556778*y**2 - 11*y + 31. Let p be v(g). What is p rounded to the nearest one hundred thousand?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 - z + 6. Let q(r) = r**3 + 14*r**2 - 15*r + 20. Let k be q(-15). Suppose -k = 5*s - 5. What are the prime factors of x(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:11 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4, e: 2, t: 7}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.1 - -1.9. Let i = -39 + l. What is the closest to -0.2 in i, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 656 in 1, -2, 2\/9, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*m**2*p - 2*m**2*s**2 - 3*m*p*s**2 - 4*p*s**2 - 11*p wrt m.\nAnswer: -50*p - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/1 - (-69 + -600) is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111012020122 (base 3) to base 10.\nAnswer: 2916908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.1 + -45.1. Let d = -23.18 - -23. Is d bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -935, -4, 0, -125 in descending order.\nAnswer: 0, -4, -125, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -14*p + 2772. Let d = -222 + p. Calculate the highest common divisor of 63 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/7776 and 119\/1296.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let j(w) = 12758*w + 94. Calculate v(j(x)).\nAnswer: -12758*x - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 297497 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 143260, 143269, 143290, 143329, 143392, 143485, 143614?\n\"Answer: m**3 + 2*m + 143257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28141, -112713, -253717, -451153, -705021, -1015321, -1382053?\n\"Answer: -28216*x**2 + 76*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 235648, 1885179, 6362482, 15081445, 29455956, 50899903, 80827174, 120651657?\n\"Answer: 235648*r**3 - 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 45*i - 85*i + 42*i - 1 as k*i**2 + p*i + q + h*i**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 - 5*p**4 + p**4)*(1 - 3 + 3) + 37*p**4 + 133*p**4 + 263*p**4.\nAnswer: 431*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 2673.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Suppose -4*o = -4*s - 4, -o - 15 = 4*s - s. Sort b, 3, s in ascending order.\nAnswer: s, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/2))**(-46)\/(l**(-2\/3))**(-24\/5)*(l**0)**(-28)\/(l\/(l*l**(1\/4)))**(7\/8) assuming l is positive.\nAnswer: l**(-11517\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -15, 14, 4 in decreasing order.\nAnswer: 14, 6, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -940c (base 14) to base 5.\nAnswer: -1303432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(-4*(sqrt(7) + sqrt(28))))\/(-1*(sqrt(12)*2)\/sqrt(6)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:01 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17162*m + 205883. Calculate t(-12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5598 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 586*m**4 - 2*m + 587*m**4 - 11 + 32 + m**2 in the form s*m**2 + u*m + q*m**3 + i + l*m**4 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -83 - (-395 + 342)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 2) + (5 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 178?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8 = -v. Let z = -15 - -22. What is the least common multiple of v and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 285?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -404679618, -404679620, -404679624, -404679630, -404679638, -404679648, -404679660?\n\"Answer: -w**2 + w - 404679618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhha when four letters picked without replacement from hhaaahaaaaa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -48*b**3 - 87*b**2 + 9*b + 13. Let x(l) = 22*l**3 + 43*l**2 - 4*l - 6. What is -9*x(t) - 4*y(t)?\nAnswer: -6*t**3 - 39*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 - -306. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-296661 - 10)*((-7)\/(-35))\/((-1)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6. Let u = 648 + -40822\/63. Is u <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*p + 146, 3*v + 4*p = v + 88. Let u = 8 + -11. Let c = u + 13. What is the remainder when v is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 0\/2) + 5023 + 66 + -67.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 4*r - 241. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/419 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 14*d - 2. Let b(l) = 2*l**2 + 5*l - 1. What is -14*b(q) + 5*h(q)?\nAnswer: 2*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000020329 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(288) - sqrt(288))\/sqrt(6))\/((sqrt(352)\/(sqrt(33)\/sqrt(3)))\/sqrt(8)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 + 5906*o**3 + 1431928*o**2 - 6551168*o + 2916864 = 0?\nAnswer: -216, 1\/2, 4, 1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 16. Let q = a + -4.2. Let w = q + -0.3. What is the closest to -0.1 in w, -2\/11, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 521\/5368?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370496679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, h: 4}. Give prob of picking 3 h and 1 l.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 11:39 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14619 and 334465.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - 0.14. Which is the third smallest value? (a) r (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 11*n**2 - 15*n + 8. Suppose 9*j - 126 = -9. What is the remainder when f(j) is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1046487616 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 1. Let o be b(-4). Let g(n) = -199*n**2 + 399*n**2 - 4 - 201*n**2 + 12*n. Calculate g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -1 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -48*y**3\/5 + 1775352*y**2\/5 + 177537*y + 110961\/5 = 0?\nAnswer: -1\/4, 36987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4\/3 - 8*t**3\/3 - 5*t**2 + 8*t\/3 + 16\/3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (12\/15)\/((-8)\/(-60)) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let y(q) = -q**3 - q + 1. Give -u(z) + y(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016528042 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 53. Let l be y(-13). Solve 6*x - 7 = -l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*f + 163, -4*t + 3*f + 0*f = -128. Let c**5 + 13*c**4 + t*c**4 - 36*c**4 = 0. Calculate c.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/240977, 4\/5, 0.3, -2 in increasing order.\nAnswer: -2, -1, 1\/240977, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**3 + 14*i**3 + 20*i**3 - 46*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = 11*v - 18000. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y - 5\/4*y**3 + 0 - y**4 + 7\/4*y**2.\nAnswer: -y*(y - 1)*(y + 2)*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and -14 - (-76815)\/4470 - (4 + -1)?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 2*q**2 - 1. Let z be a(1). Suppose 5*c - z*c + 24 = 0. Calculate the remainder when 4 is divided by 2\/c + 52\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -1363?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1154.457 centimeters to meters.\nAnswer: 11.54457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/6 + (-5)\/(-15). Suppose w - 3 + 1 = 0, -2*v - y*w + 2 = 0. Let r(f) = 2*f**2 + f - 6. Does 11 divide r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*x + 1. Suppose g - 4*d + 6 = 0, -g + d + 1 = -x. What is the third derivative of -14*m**4 + 11*m**2 - 10*m + m**2 + g*m wrt m?\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 1. Calculate g(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**3\/2 + 2*s. Let l(v) = -4*v**2. Calculate f(l(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 15. Let v = s + -6. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2220\/(-1554))\/(15\/(-14)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.746369 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u + 2 - u**2 - 39*u - u**3 + 21*u in the form m*u + r + d*u**2 + n*u**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**3 + 53*c**2 - 5*c + 5. Let q(h) = 2*h**3 + h**2 - h + 1. Let i(w) = -k(w) + 5*q(w). What is r in i(r) = 0?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 20*r + 15. What is the remainder when 196 is divided by t(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*r = 1902, -2 = r - 7. Let p = a + -1436\/3. Is 3 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 699*v**8\/56 - 71*v**4\/3 + 389*v. Find the third derivative of k(s) wrt s.\nAnswer: 83880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6730 - -6737. Suppose -5*r = 4*k - 24, 4*r = k - 0*k + 15. Suppose -g*o + 2343 = -r*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - ((12 - 5 - 3) + -11 + 15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -1\/6*t**3 + 0 - 1\/2*t**2 - 4*t. Let h be f(0). Sort 3, h, -4 in decreasing order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, l: 1, s: 1, w: 2}. Give prob of sequence wslo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 23*v + 91. Let f be r(5). Let a be 22*4*3\/24. Suppose 2*s - f + a = 0. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82\/819 - -1\/91. Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o - 115. Let m(i) = 11*i**2 - 26*i + 31. Let k(l) = -8*l**2 + 25*l - 31. Let a(g) = -4*k(g) - 3*m(g). List the prime factors of a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/525 and 1\/175.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -20.5. Suppose 0 = -7*j + 14 - 7. Which is the fourth biggest value? (a) -1 (b) j (c) k (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37966711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*792\/308\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414843565?\nAnswer: 5, 67, 149, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277893073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + 2*a**2 - 2*a**2)*(3 - 3 + a) - 39*a**3 - 42*a**3 + 24*a**3.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/27115740 and 43\/6965.\nAnswer: 189810180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1))**(-17))**(1\/3))**(-47) assuming z is positive.\nAnswer: z**(1598\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b**42*b))*(b*(b**(-1\/54)\/b*b*b)\/b)\/b*(b\/(b*b\/b**35))\/((b**(-48)\/b)\/b) assuming b is positive.\nAnswer: b**(6857\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.3 + 134.3. Let z = -112 + o. Which is the nearest to 0.2? (a) -1\/2 (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 3.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -430343 (base 6) to base 10\nAnswer: -35127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -115, -230, -391, -598?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-20)\/(-3). Let l = 39\/5 - 8. Let k = 3\/194 - -367\/1358. Which is the nearest to 0.1? (a) l (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 44.3 and 5.762796798.\nAnswer: 50.062796798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m, 7*k + 43 = 8*k + 2*m. Let a(w) = -w**3 + 41*w**2 - 54*w - 87. List the prime factors of a(k).\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 1 - 1 + (19 - 92 - 59)*((1 + 2*w - 1)*(0 - 2 + 4) + 2*w - 3*w - 5*w).\nAnswer: 262*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1088\/5743 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h - 3 = 0. Let j(b) = -12*b**3 + 0*b**2 + 1323*b + 1 - 660*b + 2*b**2 - 661*b. What is j(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/30 + 7*j**4 + 588*j**3 + 24696*j**2 + 260*j. Factor z(a).\nAnswer: 2*(a + 42)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2711 and -18314.6.\nAnswer: -4965.08806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -157 in -0.5, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -732 - -1542. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988704551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 38*i**3 + i**2 + 2*i + 1. Let o be j(-1). Let l = o + 60. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1394*q - 1399*q - 5*p - 15 = 0, -p = 2*q + 2*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.3, 3\/4, 8.9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 - 71*h + 49. Determine v(-25).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020220121120211 - 211?\nAnswer: -1020220121121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 times 4?\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1222\/39 - 33)*36\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 5:02 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/17 smaller than 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0695 in 2.8, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 199640\nAnswer: -998200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2824.086 seconds to milliseconds.\nAnswer: 2824086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 greater than or equal to -883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15111620 is divided by 1007438.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108760*f*q**3 + 2*f*q**2 + f*q + 90*q**2 - 5*q wrt q.\nAnswer: 652560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1103132022020?\nAnswer: -1103132022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35007228941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -73647, -147301, -220955, -294609, -368263?\n\"Answer: -73654*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:22 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1091773416.1 + 3\nAnswer: 1091773419.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 5 + 3 = 0. Is -2\/51 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 1\/10*k**4 + 8\/15*k**3 - 3\/5*k**2 - 13 - 36\/5*k. Let l(d) = 0. What is d?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*l + l - 37917 = 0, -18962 = s + 2*l. Let a = s - -29761. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -5963*w**8\/168 + w**5\/10 - 106*w**3\/3 - 2*w**2 + 12*w + 56. Find the third derivative of d(s) wrt s.\nAnswer: -715560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040059 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/3)*f)**(16\/7) assuming f is positive.\nAnswer: f**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3464, -3460, -3452, -3440?\n\"Answer: 2*h**2 - 2*h - 3464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 444009.\nAnswer: 3108063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 33, 93, 211, 405, 693, 1093?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 5*m**2 + 34 - 34 + m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562288688?\nAnswer: 2, 13, 207947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6460000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/(sqrt(15)\/sqrt(3)))\/(-6*sqrt(16)\/sqrt(2)) + -4 + (sqrt(756)\/(-1*sqrt(12)))\/(5*sqrt(324)))**2.\nAnswer: 8*sqrt(7)\/5 + 407\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56244*u**2 + 33993 wrt u?\nAnswer: 112488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + j + 13 = 0, -8936*j + 75 = 5*r - 8941*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v)**(-11\/4)\/(v**18\/v**16) assuming v is positive.\nAnswer: v**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -45, 70, 159, 216, 235, 210, 135?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*o = 0, 16 = 5*o - o. Let t(m) = m**3 - 5*m**2 + 13*m - 53. Suppose -25*g + 6*g + 95 = 0. Let r be t(g). Solve -u*z - r = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*h = -270, 6*h - 2*h - 58 = -k. Suppose -r = 3*n - k, -r + 69 = -0*r + 4*n. What is the greatest common factor of r and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 27.95. Let b = -10.05 + k. Let m = b - 1. Are m and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 5*h**2 + 3*h + 3. Let s be m(3). Let w be 5\/2*1404\/(-585). Do s and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 2*n + 74, -247*n + 12*y - 15*y = -252*n - 49 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 111. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 23 = -1. Let s = 11 + p. Let k be (4 + -1)*2\/2. Solve -s*z + 9 = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.668 + -5.71. Let u = -0.449 - -0.407. Let d = u - j. Which is bigger: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - -10.9. Let r = f - 17. Sort r, 6\/11, -0.2 in descending order.\nAnswer: 6\/11, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 1 + 6 + 6.\nAnswer: 3*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10237, 40895, 91983, 163495, 255425, 367767, 500515, 653663?\nAnswer: 827205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2. Suppose 0 = 3*b + 4*l - 570, 5*b - 229 - 707 = -2*l. Let y(m) = 8*m + 186 - b. Give y(j(f)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 83 = 2*x - 3*h, x + 5*h - 8 = 0. Let p = -2 + 7. Suppose 4*k - w - x = -k, 5*w + p = 3*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*b + 314 - 94, 196 = -3*c + 4*b. Let l = c - -28. Let i = 1 - l. Calculate the greatest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -106, -118, -146, -196, -274, -386?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -547, -426?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**2*r - q**2*s - q**2 - 4648*q*r*s - 2*q*r + 2*q*s + 2*r - 19*s + 234 wrt r?\nAnswer: -4*q**2 - 4648*q*s - 2*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 90*k + 7)*(-1 + 1 + 2)*(7 - 5 - 20).\nAnswer: 3240*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 11. Let a be g(11). What is the units digit of 11 + (0 - 2 - a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 smaller than -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = t, -5*o + 0*t - t = 30. Let c be (-2)\/5 - 27\/o. Solve -c = -3*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(-18))**(-4\/5) assuming g is positive.\nAnswer: g**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 33 - 2\/3*c**6 - 115*c**4 - 416*c**2 + 76\/5*c**5 + 964\/3*c**3 + 256*c. Factor h(r).\nAnswer: -4*(r - 8)**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 - (2 + (10 - 1)). Let q = n + 51. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 106 = -4*y + 88, 0 = -k - 5. Suppose a - 4*a = -y. Calculate the remainder when 33 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 330*g - 3167. What are the prime factors of r(70)?\nAnswer: 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 4638*w\/11 + 686880\/11.\nAnswer: 2*(w - 2160)*(w - 159)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71430091?\nAnswer: 37, 1930543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, 129, 183, 251, 333, 429?\n\"Answer: 7*c**2 + 19*c + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241508 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1 - 1 + 6*h + 16*h - 2. Let g be w(1). Let r = g - -22. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g**2 + 2)*(-5*g - 3*g + 3*g + (3 - 4 - 1)*(0*g + 5*g - 3*g) + 17 - 12 - 2*g - 9).\nAnswer: 22*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooasaoaoaaaoa. Give prob of picking 2 o and 2 a.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/20 and 35\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8319327011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -397, -465, -535?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4\/4)\/(-1). Calculate the remainder when (3 - (33 + -2))\/(-2) is divided by ((-120)\/(-36))\/(d\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.44 and -27.8227.\nAnswer: -23.3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = -3*p - 4*t, 2 = 2*p + 2*t. Let h(o) = -2*o + 3*o - p*o + 5 + 2*o. Let s be h(-4). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let n(d) = 3*d. Let j(y) = 4*n(y) + 7*t(y). Let h(w) be the first derivative of 0*w + 10 + 3\/2*w**2. Calculate h(j(k)).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 358519617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 72*m**2 - 1. Let g(o) = o**3 - 9*o**2 + 6*o + 10. Let t be g(8). Let z be 7 + -9 + t\/(-2). What are the prime factors of a(z)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 1. Let b be z(2). Let g = 163 - 160. Let o(l) = -2*l**2 + 1 - 2*l**b - 4*l + l + g*l. Determine o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 4*k, 0 = -4*k - 12 + 4. Is 1\/n*(-2696)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {y: 1, m: 5, e: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 - 16*d = 0. What is d?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:41 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(((-87)\/(-8))\/29)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -29. Suppose 5*n - 5*m = 3*n - 17, -12 = -4*m. Let w = n - -6. What is the lowest common multiple of w and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 219942.\nAnswer: 879768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 5*r**2 - 7 - 3*r - 4*r**2 + 5*r**2. Let j be b(7). Suppose s - 7*o = -3*o + j, 0 = 5*s + 2*o - 17. Are s and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25853883823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147*t**2*w + 211*t**2 with respect to w.\nAnswer: 147*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -840 * -936532.\nAnswer: 786686880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than -629401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 + g**2 - 2*g + 1. Let o be r(1). Let v(z) = -3*z + 36. Calculate the lowest common multiple of 21 and v(o).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 33. Let b = -1355 + 1381. Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + sqrt(162)) - sqrt(162))*-3)**2.\nAnswer: 1944*sqrt(2) + 23409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9) - 2\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0 + 46*t**2 + 0*t - 5\/3*t**3 + 1\/12*t**4. Calculate b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98617703 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, i: 1, n: 2, h: 1, d: 1}. Give prob of sequence hd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11125221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a factor of 140661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s + 2*s**3 + 18*s + 3 - 3*s**3 + 3*s**3 + s**3 + (0 + 2 + 0)*(2*s - 2*s - 2*s**3) as g + y*s + t*s**2 + b*s**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 18*c - 4009. What is m(-73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let a(w) = -7*w. Let t(y) = -34*y**2 + y - 2. Let o be t(1). Let v(k) = 119*k. Let z(d) = o*a(d) - 2*v(d). Determine f(z(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + 0) - (-43 - -43)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*w + 3*l, -2*w - 4*l = -13 - 39. Let u be 1\/(-4) - 105\/w. Let i(h) be the first derivative of h**2\/2 - 3*h + 2. Calculate i(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 712 + -710. Let i be (-1)\/(-2 + 34\/18). Find the third derivative of 81*a**5 + i*a**n - 81*a**5 + 12*a**6 wrt a.\nAnswer: 1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/30 - b**4\/8 - 3*b**3 - 15*b**2. List the prime factors of c(9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 6 = 4*f - 62, -f + 19 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 53*g - 2. Let d be v(-5). Let c = d + 1341\/5. Suppose 4*z - 3 = 1. Is z > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99914 is divided by 427.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)\/q**(-7))\/(q**37)**(5\/19) assuming q is positive.\nAnswer: q**(-33\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let c = z - -1. Let n = 457 + -457. Is n equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i. Let t(w) be the first derivative of 0*w + 1\/2*w**2 - 63. Give l(t(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48763834.\nAnswer: 2, 7, 643, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f + 3*f + 0*f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 2191156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 28. Let h(a) be the first derivative of 0*a + 0*a**2 + 0*a**4 - 2\/35*a**x + 1 + 0*a**3 + 1\/21*a**6. Let h(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*r + 1933?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*n*o + 3*f**2*n + 30*f**2*o**2 - 5*f**2*o + 2*n*o**4 + 2*n*o wrt o.\nAnswer: 60*f**2 + 24*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 200*u**2 - 6644*u + 1311. What is a(158)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-45)\/2)\/(2\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17\/2 - -8. Let r be 4\/((5\/(-20))\/((-5)\/8)). Suppose 0 = 77*p - 82*p - r. Which is the smallest value? (a) l (b) p (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j + 50. Let a(y) = -5*y + 28. Let k be a(4). Let m be g(k). Calculate the remainder when 24 is divided by (-2)\/6 + (-1)\/m*20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10452 is divided by 1161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 5850.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 5*x - 6*x)*(-3*x + 0*x + x) + 0*x**2 - 5*x**2 + 2*x**2 to the form o + a*x + y*x**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 124*i**2 + 9*i + 19. Let k be r(-5). Suppose 0 = -2*h + 3*x - 554 + k, h - 1260 = -3*x. What are the prime factors of h?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 31718064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 45. Let s(q) = -73*q + 42. Let m be s(-6). Does 60 divide (u\/2)\/(10\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 3*g - g + 6*g + 4 in the form o*g + q and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) - (sqrt(11) + sqrt(11) + sqrt(11) + sqrt(44) + 5)).\nAnswer: -4*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111753939287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153) + 1*sqrt(153)*-2)\/sqrt(9).\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**4 - 5*o**2 - 510*o wrt o?\nAnswer: -108*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/11, 3, 44?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 174. What is the tens digit of 1376\/64*(f - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 5\/336*w**8 + 5\/12*w**5 + 11\/24*w**6 + 1\/6*w**7 + 0*w**3 + 0*w**4 - 15*w**2 + 0*w + 0. Solve y(n) = 0 for n.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 - 419 - 19*m - 164*m + 229.\nAnswer: -183*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, p: 2, v: 2, t: 5, a: 2}. Give prob of picking 1 w and 1 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -570*-8\nAnswer: 4560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1083836 divided by 41686\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1.5, -1, -0.28 in ascending order.\nAnswer: -1, -0.28, -0.1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3513080 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -177378, -9 in descending order.\nAnswer: 3, -5, -9, -177378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 52. Let m = -23 - a. Put 3, 2, -6, m in decreasing order.\nAnswer: 3, 2, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Let z = b + -5. Is z >= 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10214*c + 1746609. What is l(171)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.2084 nanometers to millimeters.\nAnswer: 0.0001722084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**6\/45 + m**5\/5 - 13*m**4\/18 + 4*m**3\/3 - 4*m**2\/3 + 3*m. Factor x(s).\nAnswer: -2*(s - 2)**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1 + 0 + 2*o + 0. Calculate p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -673396 - -673400. Factor 0 - 9*r**2 - 1\/5*r**g + 54\/5*r + 12\/5*r**3.\nAnswer: -r*(r - 6)*(r - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*u + 160602 + 143114. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-128)\/304) + 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 11*b + 3. Let p be c(9). Let a be (-4)\/6 + (-10)\/p. Suppose 0 = -a*y - 4*y + 33600000. What is y rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13\/(-4) + (-187563)\/(-412)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000803 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*5\/4*210\/(-75)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*m + 1. Solve 0*p - 2*p + 2 = 0, -2*p - m = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 1 + 30*o + 1 to x + v*o and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31464*a**5 - 2*a**2 + 12*a - 31.\nAnswer: 1887840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(19) + 1 + (sqrt(19) - (sqrt(152)\/sqrt(8) + sqrt(19))))*-6)**2 - ((sqrt(95)*-5)\/sqrt(5) - (sqrt(1539) - (sqrt(1539) + 4))**2).\nAnswer: 20 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.081 + 1.021. Are z and 153 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16406 and -0.2.\nAnswer: -16406.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/366 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -747665537 + 11?\nAnswer: -747665526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1780*x + 11139*x = -833*x - 227001 - 710663 for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 188, -49, -446, -1003, -1720, -2597?\n\"Answer: -80*g**2 + 3*g + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 329*z - 311*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/15)\/(5 - 2). Which is the second biggest value? (a) m (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -3 (b) -2\/3 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:10 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11403 by -41.\nAnswer: 11403\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -847 + 1417. Does 63 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46 + 12*b**4 - 4*b**6 - b**2 + 5*b**6 + 5*b**6 + 41 wrt b?\nAnswer: 720*b**3 + 288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*r - h + 14, -3*r - 4*h + 9 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 + -120. Suppose y - j - 24 = 0, -3*y - 2*y = -l*j - 122. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 105948 = -49*x. List the prime factors of x.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -16001 (b) -7 (c) 2 (d) 0.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.00593 - -0.29407. Are -2195 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2944\/2576*2\/4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*z**4 - 430?\nAnswer: -548*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-6)*((-143)\/(-13))\/(3\/3687).\nAnswer: 2, 11, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 1. Suppose -j + 2*r - 17 = -2*j, -4*j = -5*r - 68. Suppose 2*i + j = -5*v, -i + 2*v = 4*i - 1. Give b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -11 + 1 + 1. Let h = j - -17. Let r = 2.3 + -2. Sort r, 0.5, h in decreasing order.\nAnswer: h, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*m + 7*m + 14, m = 3*c. Let l be (1\/c)\/(3\/(-55569)). Suppose l = 5*y - 29977. What is y rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2993*j**6 - 614*j**2 wrt j.\nAnswer: -359160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -4*f + 10. Let k = 22 + f. Let u = -50768 + 50768.4. What is the second biggest value in -2\/5, 3, u, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 18 - -6) + -19 + -6 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6a1a (base 11) to base 12\nAnswer: 5401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1860324 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 + 3*b**2\/2 - 3*b + 11. Calculate h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1837 >= -1837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -29*g**2 - 2*g - 17. Let v be x(6). Let s = 4321\/4 + v. What is the common denominator of s and 63\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 901687, 901687, 901699, 901729, 901783, 901867, 901987, 902149?\n\"Answer: b**3 - 7*b + 901693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20))\/(-1)*416\/156*5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n + 11. Let o(t) = t + 1. Let g = -38 - -16. Let i(q) = g*o(q) + 2*c(q). Let r(m) = -4*m**2. Give i(r(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 - 7) + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -699134*p**3 + 34914127 wrt p?\nAnswer: -2097402*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10263 divided by -3\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*c - 57, -c = 3*o - 32 - 1. Suppose 8*q - c = 24. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 61 - 26 = 13*k + 36, 4*i = -i + 138*k + 926 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -896368*z - 1187629 wrt z.\nAnswer: -896368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/105 (b) 0 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 take away 0.23?\nAnswer: -135.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3344982 (base 10) to base 14\nAnswer: 631034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000296 rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let g = 21627\/10 + -10816\/5. Which is the second biggest value? (a) k (b) -0.03 (c) -0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3)\/8 + (-6)\/24\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 667 + -3339\/5. Let s = -0.5 + 0.4. What is the nearest to 0.1 in 2, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + -6*(sqrt(108))**2 + 4 + (sqrt(36)\/sqrt(3))**2)*-3.\nAnswer: 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022690791?\nAnswer: 23, 44464817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/594 and -79\/594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -108092?\nAnswer: 108094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(888*o - 1884*o - 2959*o + 108*o) in the form w + y*o and give y.\nAnswer: 3847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = -24. Let n be 2 + (-6)\/1 + 18. Let y = x + n. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let j(v) be the second derivative of 1\/8*v**2 + 1\/120*v**6 + 0 + 0*v**5 - 1\/24*v**4 - v + a*v**3. Factor j(s).\nAnswer: (s - 1)**2*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(242) + -4)**2)*3.\nAnswer: -264*sqrt(2) + 786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29169621104.9998969 + 29169623358. Let l = d + -2253. Round l to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 91*y - 1. Let z be c(1). Let m be ((-6)\/9)\/((-12)\/270). Calculate the highest common divisor of z and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**3\/6 - 25*c. Let w(q) = 9*q**2. Calculate w(n(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(2057) - 3*(sqrt(2057) + 1*sqrt(2057))**2 - (5 + (sqrt(2057) + 0)**2 + sqrt(2057)))*-5).\nAnswer: 534920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222120 - -21?\nAnswer: -10222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*h + 154*h + 152*h + 155*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/45)*(s\/(s*s**18\/s*s))\/s assuming s is positive.\nAnswer: s**(-812\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/17352 and 37\/3856.\nAnswer: 34704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(60)\/sqrt(6)) - (3 + sqrt(51)\/sqrt(3)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(13 - 13 + 3*t)*(-4*t + 2*t + t)*(t**3 - 2*t**3 - t**3).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h**2 + 0*h**2 + h + 3*h**2. Let f be x(-1). Let q(k) = 0*k - 4*k + 6*k - f - k**2. Let s(r) = -2*r**2 + 3*r - 3. Determine 5*q(n) - 3*s(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5100\/(-18))\/(-17) + (-4)\/6. Let s = 19 - r. Solve 1 = -s*p + 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66886812?\nAnswer: 2, 3, 1857967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39357224 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -605?\nAnswer: -4\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -700 + 1246. Let s = 545.9999013 - n. Round s to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 641544 * 8.\nAnswer: 5132352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14831799, -14831792, -14831785, -14831778, -14831771, -14831764?\nAnswer: -14831757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24256596101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*h + 13, -3*h - h = -5*k + 7. Factor 0*f**2 - f**k + f + 1\/2*f**4 - 1\/2.\nAnswer: (f - 1)**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 19 + 2*j**3 - 3*j**2 - 3*j**3 to the form q + b*j**2 + l*j + o*j**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/60*1485\/198.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = 27. Let n(y) = 9*y + 0 + 2*y**2 - 3*y**2 + 1. Calculate the smallest common multiple of n(m) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 227, 764, 1807, 3524, 6083, 9652, 14399?\nAnswer: 20492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 48*z - 58. Let t be h(11). Let a = -466 + t. Solve a = 19*l - 20*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 573, 946, 1319, 1692?\n\"Answer: 373*i + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/20)\/(3\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -311\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.2, -73, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let k(w) = -134556826*w**2. What is d(k(y))?\nAnswer: -36211078846388552*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sij when three letters picked without replacement from {i: 1, d: 1, r: 6, f: 1, j: 4, s: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -953*a*j*p + 2*a*j - 18*a*p**2 - a*p + 107*a - 2*j*p**2 + 465*j + p**2 - 13*p wrt j?\nAnswer: -953*a*p + 2*a - 2*p**2 + 465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871494.\nAnswer: 2, 3, 13, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4140599693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 1 + (286\/(-33))\/((-8)\/6). Which is the nearest to h? (a) 0 (b) -4 (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 - -3133210?\nAnswer: 3200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = z + 5. Let a(x) = -x**3 - x**2 + x. Let u = 0 - -3. Let g(f) = f**3 - f. Calculate u*g(p) + z*a(p).\nAnswer: p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41615 and 861.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-15))\/((-637)\/3185) + 11*1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -1\/12*c**4 + 0 + 0*c**2 + 0*c**3 - 4*c. Let l(h) = 4*h. What is f(l(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -150.095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 28480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 447\/21 + 1 + (-34)\/119. Solve -n = 2*n - 5*l + p, -l = -2*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15903\/2*o**2 + 609\/4*o**3 - 15000 + 22800*o - 3\/4*o**4 = 0. Calculate o.\nAnswer: 1, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*s + 300*s + 9971 = -196*s for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - h - 2*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2 + 20*s + 50 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21538?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - b = -16, 4*b - 81 = 2*h - 53. Let t be 48\/15 - (-1)\/(-5). Solve y - 12 = -t*l, -h*l + 2*y = -0*l - 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 14. Give p(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 6323466006?\nAnswer: 6323466011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2348.8391223 - -0.01.\nAnswer: -2348.8291223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 22 = 4*i, 239 = b + 2*i + 247 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.286 - -227.386. Let w = s + -216. Which is the third smallest value? (a) 0 (b) w (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:36 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98\/13? (a) 4 (b) 3\/88 (c) -3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*q = -40, 95*h = 92*h - 3*q - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39016.3357 - -38990. Let m = -26.4 - d. What is m rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 598?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 2*y + 3*y)*(-77*y - 69*y + 125*y)*(668 + 799 - 578) in the form l + k*y**2 + p*y and give k.\nAnswer: -18669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjqe when four letters picked without replacement from {e: 1, j: 7, q: 3, m: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3815177*c**5 + 4*c**3 + 3802450*c**2?\nAnswer: 228910620*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 376 - 345. Calculate the remainder when 2384 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 387.1324 + -0.4324. What is n rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:11 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 169, 505, 1141, 2173, 3697, 5809, 8605?\n\"Answer: 16*q**3 + 6*q**2 + 2*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wquuuqurruuquwwuwwu. What is prob of picking 1 r and 2 w?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - -1) + (-13 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 11) in base 9?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - ((2*sqrt(77) + sqrt(77))*-5 + sqrt(77))))\/(-2*sqrt(55)\/sqrt(5)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-150)*(-1)\/(1\/(-2))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1 - 1 - 2 - 6*g + g**2. Let v be a(7). Suppose 2*j - 3*j = -v. Solve m = 8 - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.245577 litres?\nAnswer: 3245.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 97686 = -801*o - 380*o for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 123 - 115 + 14*g + g**2 + (2 - 2 - 2*g)*(-4*g + 3*g + 0*g) as d*g**2 + z*g + v and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/25)\/((-8)\/20). Suppose -4*o + 16 = 0, -2*x - a*o - o + 24 = 0. Solve x*j**2 + 8*j**3 - 12*j**2 + 7*j - 11*j - 4*j**2 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -6. Let z = 11 + m. Let n be 6\/2 - 1 - 0. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 5, k: 3}. Give prob of picking 1 k and 2 c.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2361754*r + 42511570. Calculate t(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -94. Let n be 2580\/7*7\/(-4)*r. What is n rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + z**3 - z**2 + 2*z**4 - 294766 + 294754 to the form r + p*z**2 + j*z + s*z**4 + x*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-five quarters of a microgram?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*h = 15, -2*i + 0*i + 6 = -h. Suppose 0*y - i*y = 30. Suppose 3*d + 25 = 5*q, -5*q + 22*d + 25 = 25*d. Put -4, q, y in increasing order.\nAnswer: y, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19945 (base 12) in base 16?\nAnswer: 9305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7579 + 7584. Sort 0, b, -10, 283 in descending order.\nAnswer: 283, b, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j. Let v(w) = -3*w - 21. Calculate v(z(a)).\nAnswer: -33*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -1 - -2) + -5 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -4*x**2 + 7\/12*x**4 + 0 - 2\/3*x**3 - 1\/20*x**5 - 60*x. Calculate t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138710 or -137717?\nAnswer: -137717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 495.0229 grams?\nAnswer: 495022.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 + (-147)\/7. Let g = 53 - 20. Let x = f + g. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 30 = 2*h, 2*h + 4*m + 30 = 4*h. Let s(d) = 48*d + 23. Is s(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + -292948124.\nAnswer: -292948123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 36. Let j be 1\/((-9)\/12*t\/9). Solve 10*l - 3*l**j - 2*l + 10*l = 0 for l.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -1\/3, 2, -0.8, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 17*l + 64*l. Let f(i) be the second derivative of 0 - 13*i + 0*i**2 + l*i**3 + 1\/4*i**4. Let p(m) = -2*m**2. Calculate f(p(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004\/1501*((-29)\/6*-3)\/(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -340, -0.17, 1, 52, 0.2 in ascending order.\nAnswer: -340, -0.17, 0.2, 1, 5, 10, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 7*r + 60 = 0. Let n(d) = -12073 + r*d + 12073. Let v(c) = c**2 - c - 1. Let b(l) = -l**2 + 2*l + 2. Let j(p) = b(p) + 2*v(p). What is n(j(g))?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 times -9.7869?\nAnswer: -2329.2822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 12*y**2 + 11*y + 28. Let d be c(13). Suppose -w = -2*p + 3*w + d, 10 = 4*p - 2*w. Solve -5*t + 15 = 0, p*u - 4*t = -7 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/44, 1\/3, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - -4.02. Let x = 0 - 0.5. Let s be (-6)\/18*3\/5. What is the second smallest value in x, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3299836*u**4 - 7228723.\nAnswer: -13199344*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325243360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:13 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -291477849\nAnswer: -291477851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163730*g**2*i**3 + 9*g + 918*i**3 wrt g?\nAnswer: -327460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u - 2*u)*(7 - 32 - 9 - 179) + 0*u + 4*u + 2*u.\nAnswer: 219*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 146. Suppose f + 44 = o. Let s = -18 - -26. What is the greatest common factor of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - u**2 + 3*u**2 + 4 - 4 + 2*u**2 + (-u + 2*u**2 + u)*(-3 + 3 + 1) - 8*u + 8*u + 7*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162))**2 + 4*sqrt(4)\/sqrt(2).\nAnswer: 4*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let b(x) = 110*x**2 + 65*x. Let n(g) = -3*g - 3*g**2 + g**2 - 3*g**2. Let f(z) = -6*b(z) - 130*n(z). Calculate f(i(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 4*u. Let h = 9 - u. Suppose f - 45 = 4*k, 2*f - 4*f = h*k - 102. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11199 by 2772.\nAnswer: 3733\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3\/3 - 25*s**2\/2 - 7*s - 5. What is the units digit of t(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 20, a + 3*w + 19 = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**3 - g**3 - 3*g**3)*(2*g - 2*g + g) - 46 + 46 + 10*g**4 to the form r*g**3 + l + b*g + t*g**4 + s*g**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 15. Let n = 8 - m. What is the highest common factor of 24 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 18*z + 4. Let a be i(9). Suppose 9*b - 11*b = a*d + 30, 10 = -5*d + 3*b. Let s(o) = -o**3 - 6*o**2 + 2*o - 5. What is s(d)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32793?\nAnswer: 3, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/30 + ((-247)\/(-78))\/19?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - 137. Sort 1, 5, -1, p.\nAnswer: p, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012002 + 2111021201?\nAnswer: 2112110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006038438 to seven dps.\nAnswer: 0.0006038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 9.85\nAnswer: 9.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -12 - 33. Let d be ((-6)\/(-2))\/(m\/15). Differentiate -d*n**2 + 2*n**2 - 2 - 6*n**4 + 3*n**2 with respect to n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4526 - -12766. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, 1 d, and 1 o when four letters picked without replacement from {t: 3, u: 7, o: 1, n: 2, d: 5}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 209844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/6 - 3*q**3 + 5*q**2\/2 - 28*q. Does 2 divide k(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-1\/8))\/n**(1\/5)*n\/((n\/(n\/(n*n*n**(-2)))*n*n)\/n)*n\/((n*n**7\/n*n)\/n) assuming n is positive.\nAnswer: n**(-163\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*v**5 - 9*v**2 - 109*v + 15*v**2 - 6*v**2 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((9*(-9)\/351)\/3)*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 17*j**2 - 5*j - 9. Let n be m(13). Is 4 a factor of -1 - (-2)\/((-7)\/(n\/(-4)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101010111011111 (base 2) to base 16\nAnswer: 2d5df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5836*m*o*v + 443*m*v - 2*o*v + 17*o + 2728 with respect to o.\nAnswer: -5836*m*v - 2*v + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 6*o + 14*o - 2108. Let d(q) = -8*q**2 - 2*q**3 + 3*q**3 + 2*q + 0*q**3 - 2. What is the remainder when o is divided by d(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5253582, 10507166, 15760746, 21014322, 26267894, 31521462?\nAnswer: 36775026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 32368 + 32368 - 18*m**2.\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31202301 (base 4) to base 5.\nAnswer: -3233343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y = 23*y - 80. Which is the second smallest value? (a) -1 (b) y (c) -4 (d) 3\/4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108126, -216265, -324404, -432543, -540682?\n\"Answer: -108139*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-4)\/(-8) - -1. Solve 2*d = i*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11155921 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 1) + 6 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 9*h + 28. Let y be s(5). Suppose z + g - 11 = 0, z + 3*g + 1 = y. Calculate the remainder when 453 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 + 1604326*j**3 - 3208660*j**2 = 0.\nAnswer: -802165, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 4. Suppose -t = -q, -3*o = 2*o - 3*q - 7. Solve o = -p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 2.8. Let m = 0.309 + -2.309. Is f at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e1b77e (base 15) to base 12.\nAnswer: -3710132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1989)\/3536)\/(1\/(-16))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 26*b**3 + 169*b**2 = 0. What is b?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {v: 1, y: 1, n: 3, j: 7}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28761 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 39. Let n(d) = -3*d - 7. Let t be n(-5). What is the greatest common factor of m and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 9*m = 15. Suppose m = -i - 5. What is the tens digit of (10\/i)\/((-10)\/120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i - 1. Let q be j(1). Let a(d) = -2*d + d + q*d. What is the units digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21491 - 2\nAnswer: 21489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.3 + -16. Let w = -973.7 + 977.7. What is the closest to 0.2 in s, 3, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 33. Let a be (3\/(-9))\/(2\/k). Let t(o) = -6*o - 4. What are the prime factors of t(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1657 * 2.\nAnswer: -3314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-22)\/(-72) + (-6)\/48*2). Which is the closest to -1\/3? (a) 1\/4 (b) 2 (c) m (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 661, 2692, 6061, 10756, 16765, 24076, 32677, 42556?\n\"Answer: -2*d**3 + 681*d**2 + 2*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**3 + 4*c**2 + 7*c - 7. Suppose 3*b - 5 = -f - 31, 5*b - 5*f + 10 = 0. Let t(n) = -5*n**3 + 2*n**2 + 3*n - 3. What is b*t(l) + 3*q(l)?\nAnswer: 5*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/80*2\/4)\/((-1208)\/(-1616)) and -29\/2416.\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i - 303*i + 60*i)*(-1 + 1 - 3*i + (-2 + 1 + 2)*(-2 + 2 - 2*i) - i - 2*i + 0*i + 5*i - 2*i + 0*i).\nAnswer: 1285*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2313726\nAnswer: -1\/771242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - 809?\nAnswer: -82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/49? (a) 0.2 (b) -0.092 (c) -0.1 (d) -641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -22902.\nAnswer: -31\/11451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 182, 4 in decreasing order.\nAnswer: 182, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -2\/7 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - 3\/(-4). Suppose -k = m, 4*k + 61 = 2*x + 3*k. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 159*a**4 - 160*a**4 - 36*a**3 - 44*a**3 - 38*a**3 - 4*a as r*a + j + v*a**3 + k*a**4 + p*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1325 + 17223\/13. Let p = 10 - 10. Suppose -2*f + 5*a - 21 - 3 = 0, -2*f - 4*a + 12 = p. What is the second smallest value in f, -2\/9, 3, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076182870.\nAnswer: 2, 5, 7, 15374041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 2*m - m**2 - m + 5*m**2. Let s be c(1). Solve -s*q + 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 16, 5\/6, 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.325 - -15.325. Which is the closest to -1\/3? (a) -0.2 (b) t (c) 1062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43247544*i**2*n**2 + 331292642*i**2*n wrt n.\nAnswer: 86495088*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1475, 1188, 711, 44?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 43032*f + 462938256.\nAnswer: (f + 21516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*-6)\/(sqrt(275)*2).\nAnswer: -9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(2 - 4). Differentiate 2*w**2 - 3*w**2 + 2*w**x + 1 wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 65*u - 1755. Give c(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1425)*-3 - sqrt(1425)) + sqrt(57))\/(sqrt(12)*2 + sqrt(3)).\nAnswer: -19*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyqd when four letters picked without replacement from {d: 2, q: 4, y: 2, z: 2}?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 86\/(-30) + (-1)\/3. Let n = r - -326\/105. Is -1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0412081 to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 41*p**8\/112 + p**4\/12 + p**3 - 4*p**2 + 24*p. What is the second derivative of t(u) wrt u?\nAnswer: 2460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(-3 + 3 + u**2) + 0*u**2 + 0*u**2 + 2*u**2)*(0*u**2 + 2*u**2 - 5*u**2)*(-1 + 1 + 2*u).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.45 - -8.55. Sort -2\/3, -2\/15, y.\nAnswer: -2\/3, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.103 times 26.296\nAnswer: -2.708488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, i: 4}. What is prob of picking 3 q and 1 i?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 9. Let f be 195*a\/(-20)*1. Let b = -55 - f. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10*k = -14*k + 14, 3*k - 10 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46189386, -46189393, -46189400, -46189407, -46189414, -46189421?\nAnswer: -46189428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -4475886?\nAnswer: 4475886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -503 + 502.9. What is the smallest value in v, -6, 2\/3, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -588?\nAnswer: 352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -835, -1057, -1127, -1045, -811, -425?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73*m**2*s**2 + 110*m**2 - s**3 - 2*s**2 wrt s?\nAnswer: -146*m**2*s - 3*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {l: 3, w: 1, b: 3, r: 2, e: 2, y: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 531.7993 weeks?\nAnswer: 321632216640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = v + 2*v. Let s(y) = -13*y - 3. Let o(f) = -f - 1. Let c(t) = 4*o(t) - s(t). Let g(a) = -17*a + 2. Let b(i) = v*g(i) - 7*c(i). Give b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -74*a**3 + 3*a**2 + a - 3. Let q(d) = -220*d**3 + 8*d**2 + 4*d - 10. Calculate 10*p(w) - 3*q(w).\nAnswer: -80*w**3 + 6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378600 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 22. Suppose -4*t + 5*c = -76, 4*c - 30 = -a*t + c. Suppose b - t = 8. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 514?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 4*b - 9 + 3*b + 4*b. Let s be d(11). Calculate the greatest common factor of 612 and s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 6916787?\nAnswer: 6916789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + -4.93. Let l = p + 1.13. Suppose -3*m - 4 = -m. Which is the nearest to 2\/5? (a) l (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/192253 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202, 1395, 5758, 14279, 28350?\n\"Answer: 232*a**3 - 9*a**2 - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**3 + x**2 - 14*x - 16. Let c be a(-1). Solve c*g = 296 - 341 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -27*b. Let n(u) = -1197586*u. Determine z(n(t)).\nAnswer: 32334822*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 124 = 28. Suppose -2*g - 6 - 22 = -4*q, 4*q = 4*g + d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14640000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14044.\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 7:42 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 154*c**2 - 187. Let f(t) = 5*t**2 - 6. Let d(i) = 187*f(i) - 6*j(i). Let z(m) = m**2. What is z(d(w))?\nAnswer: 121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by 2.\nAnswer: 313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 79.3. Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - s = 12, 4*k = 2*s + 7 + 9. Let q be k\/7 - 6061\/(-77). Suppose -2*z = -q - 33. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 9390400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*4)\/sqrt(7) + -4.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 467087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**4 - 10626*o**3 - 10625292*o**2 + 47222777490*o - 47212141575 = 0.\nAnswer: -2029, 1, 2785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 54, 121, 246, 447, 742?\n\"Answer: 3*n**3 + 2*n**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2)\/((-6)\/(-135)). Let d = s + -31. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h - 2. Let l = -0.4 + 0.45. Let y = l - -0.35. Which is the closest to -1\/2? (a) -5 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31544133 and 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-26250)\/(-50))\/(-15))\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.9. Which is the nearest to g? (a) 3 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69661043129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 156714.\nAnswer: 1723854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2745a0 + -8?\nAnswer: 274594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from uus.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3*j**3 - 3*j**3 - 7)*(-2*j + 0*j + 0*j).\nAnswer: 2*j**4 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - 0)*(-6)\/9. Suppose -10*j + 51 = 23*j - 16*j. Solve 21 = q*z - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:27 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 + 6*k. What is w(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4)*(j + 3*j - 7*j + 3783 + 4*j) in the form a*j + q and give q.\nAnswer: -7566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/35)\/((96\/(-50))\/6))\/(-1)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -0.09. Are -5\/3 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 87, -3, -7, 2, 1 in increasing order.\nAnswer: -29, -7, -3, 1, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p - 125*p**3 - 5*p**4 + p - 155*p**3 - 275*p**2 - 4*p.\nAnswer: -5*p**2*(p + 1)*(p + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + 3*v**4 + 3*v**5)*(-1 + 1 + 2) + 474*v**5 + 1735*v**5 - 196*v**5.\nAnswer: 2019*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 9*y + 14. Let t be v(-10). What is the highest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*v = -4*g + 16, -5*g = -5*v - 20. Suppose 0 = 5*s, -3*s = -g*w - w - 10. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1)**2 + 2.\nAnswer: -6*sqrt(19) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.647 and 0.05161.\nAnswer: 62.69861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*r + 0*r = 1, 4*t - r + 9 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223100 and 4850.\nAnswer: 223100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 3647?\nAnswer: 3647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7194 = 332*k + 6955 + 6103 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(2*d - 2*d + 2*d + (-d + d + 2*d)*(-2 + 4 + 0) + 45 + d - 45).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 43. Suppose 4*k - 454 = -2*w, 4*k - 510 = i*w - 62. Suppose -3*y - 4*d + k = 0, -d + 155 = y + 3*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*b + 129, -3*b + 11 = -3*o + 74. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*sqrt(500)*1*5 + ((sqrt(500)*1 - sqrt(500)) + sqrt(500))*5*-4)**2 + 2.\nAnswer: -12498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3574 - 2*w**2 + 2*w + 3214 - 3*w + w**2 + 2728 to m + b*w + u*w**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + w - 4*w + 0*w - w**4 + 3*w**3 + w as k*w**3 + f*w**4 + x + o*w + y*w**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(10\/7)*t)**(1\/5) assuming t is positive.\nAnswer: t**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*y**4 + 9*y**2 - 42*y + 10.\nAnswer: 444*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 15.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 15) to base 3\nAnswer: -22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20*d**3. Let r(c) = -10*c**3. Suppose -23*o = 14 + 32. What is o*a(m) + 5*r(m)?\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d - 5. Let a be v(-6). Suppose -4*t + 2*t - 6 = -3*o, 4*t = -o + 16. Is 19 a factor of (19 - a) + (t - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60967371698 and 1.\nAnswer: 60967371699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 612*l*v**4 + 3*l - 104 wrt v?\nAnswer: 2448*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 3\/7, -9, 0.06, 0.\nAnswer: -9, 0, 0.06, 0.08, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a + 1. Let q(d) = -12*d + 2. Let u(g) = -2*q(g) + 3*r(g). Let n(z) = 41*z + 2. Let v(b) = -4*n(b) - 11*u(b). Give v(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6949806332?\nAnswer: 2, 7, 248207369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 7*a**2 - 3*a - 1. Let n be s(-7). Solve 4*o = -n, -2*o = -t + 2 + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 - o - 3. What are the prime factors of a(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-47)\/7 - 36\/126. Let f = m - -15. Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -10)\/((-2)\/43). Let g = m + -13. Solve -3*u - 5 = 4, 0 = -3*t - 5*u - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000117536 rounded to six dps?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 3, c: 3, g: 2, d: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 135 = -30. Let o = 51 - b. Suppose -t + o = 2. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a6b6330 + -2?\nAnswer: -1a6b6332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68363 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*n + 6*n - 8, 4 = p - 2*n. Which is the second smallest value? (a) 11 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 688 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)\/(34 + -39)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfzszszfv. What is prob of sequence szvs?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m - 59. Calculate j(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**5 + 3*z**4 + 19*z**3 + 3390*z**2 wrt z.\nAnswer: -240*z**2 + 72*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Let t = -2 + 2.1. Let z = 0 - t. What is the closest to z in a, 3\/2, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = -13*z + 4*w - 16, 3*w - 17 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -24*h**2 + 9*h - 1. Let q be x(-2). Let t = q - -237. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753217.2 centuries in decades?\nAnswer: 7532172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1291867 to 3 dps.\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 18664.01135 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/58 and (-27)\/(-2)*(-68)\/(-238).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2916 and 1864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0, -1\/120, 3, 117\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 514\/6545 + -4\/187. Let z = f + -39\/70. Let x be -1 - (-1 + (-18)\/21). Which is the nearest to z? (a) x (b) 0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 11*v - 2079. Let x = -293 + v. Solve 0 = 3*f - u + 9, -4*f + 0 = x*u - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Let a be 1*(-1 + l*6). Suppose -5*k = -0*r - 2*r - 17, -3*r - k + a = 0. Solve -r = x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524707, -1049413, -1574119, -2098825?\nAnswer: -2623531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 + 6*k**3 + 2*k**3)*((-k + 3*k - 4*k)*(4 + 3 - 4) + 0*k - k - 5*k).\nAnswer: -180*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 684.5 - 705.5. What is the nearest to 2\/7 in -4, i, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11047370 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + ((-72)\/3)\/(-3). Let j = 3 - 8. Let a(h) = -h**3 - 6*h**2 - 5*h. Let y be a(j). Solve -2*r + y - u = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177290 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1344, 2\/5, 5, 3\/206, 1?\nAnswer: 3\/206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001000 (base 2) to base 3.\nAnswer: 21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeoxoobeooooxboeboo. Give prob of picking 2 x, 1 e, and 1 o.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4024 - 1392. What are the prime factors of d?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295378.\nAnswer: 2, 147689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68617, -68624, -68631, -68638, -68645, -68652?\nAnswer: -68659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 2. Let t(k) = 10*k - 12. Let h(i) = -9*i + 11. Let l(a) = 7*h(a) + 6*t(a). Calculate -4*l(m) + 11*v(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v - 5*v - 14 - 9*v**2 - 2316*v**4 + 2327*v**4 wrt v.\nAnswer: 132*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(-35*(-15)\/(-1260))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u - 111*u = -186762. Does 52 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112613 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.91728 and -0.4.\nAnswer: 0.366912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 8*z**3.\nAnswer: 4*z**3*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -101?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 1 + 7 + 0.\nAnswer: -5*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 2*t + 832 - 875, 40 = 5*i - 5*t for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 345 = -5*c, -4*c = 3*s - 2*s + 78. Let p be (5\/(-1) + 0)*3. Is s\/p - (-2)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7911, 15816, 23721, 31626, 39531?\n\"Answer: 7905*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.063 and -92029119.\nAnswer: -92029119.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by -166.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/155 - 4\/31. Let n = 9 + -13. Sort -1\/3, n, k in decreasing order.\nAnswer: k, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225 - (298 - 76) - (-1 - -21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -10.3. Let l = b + -6. What is the second smallest value in -3, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 7*q**2 + 5*q - 5. Is v(6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242076 is divided by 680.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 3382?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -258720*l**5 - 29494077*l**4 - 1120774698*l**3 - 14196470844*l**2 + 164616*l.\nAnswer: -3*l*(l + 38)**3*(86240*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/30 + v**5\/30 - 55*v**4\/12 - 6*v**2 - 10. What is the second derivative of u(q) wrt q?\nAnswer: -24*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106, -222, -324, -412, -486?\n\"Answer: 7*i**2 - 137*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3098*r - 28 = 3091*r. Suppose -4*o - w + 13 = 0, o - r*w - 8 = -9*w. Solve -32 = 5*v + o*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**3 - 2*c**3 - 3*c**3)*(-c - 3 + 3) + c**3 + 2 + c**4 - 2.\nAnswer: -3*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + (-513)\/38)\/((-4318)\/12). Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -504 - -7212?\nAnswer: 6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2 + 4*h - 4. Let l(n) = -7*n**2 + 5*n - 5. Let o = -9 - -5. Let v(g) = o*l(g) + 5*z(g). Let a(y) = 6*y. Give a(v(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/((-10)\/12). Let g = 1.279 + -2.279. What is the nearest to -1\/5 in k, 2\/9, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 89, -2\/9, 2, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/k*k**13)\/(k**4\/(k\/k**(-6\/7))) assuming k is positive.\nAnswer: k**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 + h**2 + 2*h - 2. Let t be g(2). Let u(z) = 16*z**2 + 79*z + 26. Let b be u(-7). Is (b\/2)\/(-3 + t\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -66. Solve 0 = -4*l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -139. Let z be 20*(-6)\/15*-1. Solve -i*x + 0 = -z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 1, y: 1, x: 1}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232.71 + 234. Round z to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(1\/8)*t**(-6)*t*((t*t\/(t\/t**3))\/t*t)\/t)\/(((t*(t*(t*t**(-2)\/t*t)\/t)\/t*t)\/t*t)**41)**(6\/29) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2552 + 2942. Calculate the smallest common multiple of h and 50.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 514, 1813, 4350, 8539, 14794, 23529?\nAnswer: 35158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 - 8*v + 12. Let g(n) = -n**2. Let j(z) = 6*g(z) + k(z). Let y be j(-9). Factor 3 + f - 6 - 2*f + f**2 + 2 + f**y.\nAnswer: (f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1*sqrt(72))\/sqrt(4) - -6*sqrt(18)*-1)\/((sqrt(108)*-6)\/sqrt(3)))**2.\nAnswer: 625\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -496 + 1257. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*i + 2, 0*i + i + 13 = -2*p. Let k(n) = n**2 + 3*n - 2. Let y be k(p). Let h(s) = 2*s**2 + 3*s**y - 2*s**2 - s. Determine h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*2)\/sqrt(2)*3 + -3)**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1597, -1583, -1569, -1555, -1541, -1527?\n\"Answer: 14*u - 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*x - 4*f, 0 = -3*f - 2*f - 10. Is (-1)\/((-1)\/(39\/x)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 310.0437 micrograms?\nAnswer: 0.0003100437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:41 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 1 - 3. Let b be 1 + -2 + 0 + d. Suppose b = 4*m + 12 + 12. Which is greater: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(1\/(-2))\/1. Let h = x - 2. Let v be (-30)\/33*-2 - 2. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**2 - 2*d + 2. What are the prime factors of t(3)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - 3 - (-1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49330946 to the power of 1\/2, to the nearest integer?\nAnswer: 7024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.3 (b) 2\/5 (c) 3 (d) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -h + l + 22, 25 = 5*h - 3*l. Suppose -2*r + 5*n = -29, r + 17 = h*r - 5*n. Let c = -51 - -81. What is the highest common divisor of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.250207 rounded to one decimal place?\nAnswer: -653.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-190974693)\/(-520) - 1\/40 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21 + (0 - 1))*(-27)\/54)\/((-266)\/(-798))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*h*t**2 + 4*h*t - 64*h - t**3 - t + 855 wrt t?\nAnswer: -88*h*t + 4*h - 3*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11584 or 11585?\nAnswer: 11584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Suppose 2*v + 28*v = 180. Let t(z) be the first derivative of -z**3\/3 - 5*z**2\/2 - 1. Calculate v*h(g) - t(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = -181*f - 46 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxp when three letters picked without replacement from {x: 6, e: 1, l: 4, r: 3, p: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58060 is divided by 28721?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -10*(-1)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/11 and 49\/181?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - f + 3*f + 11 = 0, -3*i - f - 13 = 0. Suppose 114*n = -111*n + 48*n - 885. Sort i, -2, 0, n in ascending order.\nAnswer: n, i, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-198) - 63089\/(-17204)) + 7\/(-2).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*s - 305 - 2043 = -538 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 g when four letters picked without replacement from {d: 4, g: 2, z: 7}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/5, 3\/11, 2\/5 in ascending order.\nAnswer: -3\/5, 3\/11, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -18 in descending order.\nAnswer: 11, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 119 = 0, -21*j = 5*a - 25*j - 3428. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1575, 366, 4 in decreasing order.\nAnswer: 366, 4, -1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 52 = -2*l. Let i be ((8\/10)\/(64\/48))\/((-15)\/(-100)). Put -1, i, l in ascending order.\nAnswer: -1, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**3 + 0*i + i**2 + 0 - 1\/30*i**5 + 0*i**4. Let z(o) be the third derivative of -o**4\/12 - 9*o**2. Give t(z(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 22 + 3. Calculate the highest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19443\/527 or 38?\nAnswer: 19443\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-8)\/((-8)\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - 174. Suppose -3*r + g = -4, h*r - 5*r + 6 = -2*g. Factor 2\/7*f**r + 12\/7*f + 18\/7.\nAnswer: 2*(f + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120774 by 10.\nAnswer: 60387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389327 is divided by 29947.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 39*h + 40 = -29, 0 = -q - q + 3*h + 111 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36899423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14170 is divided by 94?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - a + 2*a + 66 + (4 - 4 - 1)*(0 + 0 - 2*a) - 426 + 846 + 85*a - 422 in the form l + u*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0701633 to 4 decimal places.\nAnswer: 0.0702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1)\/((-6)\/8). Let c = 1 - -3. Suppose 2*f + 8 = c*f. Sort f, n, 1.\nAnswer: n, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490 = 5*n + 5*y + 1545, -3*y = 4*n + 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11414 - -11560. Which is smaller: 118 or v?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14052, 28133, 42214?\n\"Answer: 14081*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -20*a**2 - 24*a**2 + 51*a**2 + 3*a - 3*a. Let h(q) be the first derivative of -3*q**2\/2 + 2. Determine h(u(c)).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/1140)\/((-30)\/(-100)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -699*t**3*y + 177*t*y**2 + 183*y**2 + 43*y - 7 wrt t.\nAnswer: -2097*t**2*y + 177*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450453722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/6)*q*q)**20\/(q**(-1\/11)*q*(q\/q**8)\/q))**(1\/21) assuming q is positive.\nAnswer: q**(2104\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1223 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -360731 - -667750. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(((p*p\/(p\/((p**0*p)\/p)*p*p*p))\/p)\/p)\/p)\/p**(-1\/4))\/(p**(3\/2)*p*p**(-7)\/p) assuming p is positive.\nAnswer: p**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 8. Let b be v(-6). Let z = 16 - 3. Suppose 7*s - 4*s + l + 11 = 0, 2*s = 5*l - z. Put 4, b, s in decreasing order.\nAnswer: 4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13276720 (base 10) to base 9\nAnswer: -26875211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1158, 4629, 10416, 18519, 28938, 41673?\nAnswer: 56724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6*r - 12. Suppose -6*w + 5 = -43. Let a be b(w). Find the second derivative of 2*h**2 - 8*h**4 - 2*h**2 + 5*h**a + 18*h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c34 - -10?\nAnswer: -c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 120201002100200?\nAnswer: 120201002100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1905, -1\/4, -497, 0.1 in decreasing order.\nAnswer: 0.1, -1\/4, -497, -1905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100\/21 or 5?\nAnswer: 100\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((59 - 59 - 7*y)*(7 - 2 - 2) + 2*y - 4*y + 4*y + 1)*(1 - 1 - y).\nAnswer: 19*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/9 (b) -2\/19 (c) 0.1 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1699, -3401, -5115, -6847, -8603, -10389?\n\"Answer: -d**3 - 1695*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxmq when four letters picked without replacement from xqxmxmz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = x - 9. Calculate the remainder when x is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -278*(-5 + (-8799095)\/(-1752360)). Let k = 1\/14603 - g. Calculate the common denominator of k and -91\/188.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 - 296*j**3 - 11166*j**2 - 31456*j - 20584 = 0. Calculate j.\nAnswer: -83, -62, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/7 - 102022*i**2\/7 + 204047*i\/7 - 102024\/7 = 0. Calculate i.\nAnswer: -102024, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 6, j: 1, y: 2}. Give prob of sequence nry.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263520 - 129601. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.244 and -2.817956.\nAnswer: -2.573956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 - 20*j - 24. Let a(q) = q**2 - 3*q - 4. Let u(l) = -6*a(l) + p(l). Let i(x) = -25*x. Calculate i(u(v)).\nAnswer: 25*v**2 + 50*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 431383111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 0*b + 4*b)*(-15*b - 11*b - 5*b)*((-2*b - b + 5*b)*(-2*b + 0*b + 0*b) - 11*b**2 + 71*b - 71*b).\nAnswer: -465*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + 7*k. Let u be c(5). Suppose 0 = 4*f - 0*f - 12. Suppose x + 62 = f*v, -10 = 6*x - x. What is the highest common factor of v and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = -2*p - 694, 5*k - 2*p = -686. Calculate the remainder when (k\/(-24))\/((-2)\/(-8)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -207 in descending order.\nAnswer: 6, -1, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2611, 2610, 2609, 2608, 2607, 2606?\n\"Answer: -b + 2612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.8. Let q = -150 - -149.06. Let f = q + 0.54. What is the smallest value in 4, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -540*q**3 + 2*q - q - 1 + q**2 + 539*q**3. Let o(r) = -r**3 + 3*r**2 + 3*r - 3. Determine o(u) - 3*z(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2674028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31889731 - 1.08477?\nAnswer: -31889732.08477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/4))**23)**(-50))**(-25\/3) assuming n is positive.\nAnswer: n**(14375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/171 and -97\/190.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5395 and 22.\nAnswer: 118690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3160915?\nAnswer: 5, 31, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t - 1\/5*t**4 + 1\/25*t**5 - 119 + 1\/15*t**3 + 3\/5*t**2. Determine g so that r(g) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*y = -y. Suppose -4*m + 20 = -l - y, 3*m - 5*l = 15. Solve 20 = m*h, -5*h = -0*a + 5*a - 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 3\/2*s**2 + 0 - 1\/2*s**3 + 5\/12*s**4 - 1\/20*s**5 + 15*s. What is h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131355231 (base 6) in base 3?\nAnswer: 11212221111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2089531*o**2\/4 - 31342963*o\/4 - 15\/2.\nAnswer: (o - 15)*(2089531*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2831 divided by 331991?\nAnswer: -2831\/331991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -154 in increasing order.\nAnswer: -154, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*n**3*x + n**3 + 2*x + 1120 wrt n?\nAnswer: 114*n**2*x + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from btmmttbdbdtmbd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000097410443 to six dps.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50a (base 13) to base 6.\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177534621 and 3774?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 278337757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 540 and -0.07.\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 222211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)\/(-2) + -16. Let c be (y\/30)\/((-1)\/(-4)). Let u = c + 17. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/709 or 0.05888?\nAnswer: 1\/709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 785\/2 + -392. Let c be 0*1\/2 - (6 + -8). Let 1\/2*j**2 - 2 + c*j - z*j**3 = 0. Calculate j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1584) + 0)**2*4 - 6*(((sqrt(1584) - (2 + 2*sqrt(1584) + sqrt(1584))) + sqrt(1584))**2 + sqrt(1584)).\nAnswer: -360*sqrt(11) + 15816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 - x**3 + 13*x**2\/2 + 11*x + 6660. Calculate p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125863363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1945162, -1945005, -1944848?\nAnswer: -1944691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3326 = -4*f + 2*g, -5*f - 22*g = -19*g - 4152. Calculate the remainder when f is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 9 - 3. Suppose -5*h - c*n - 91 = -n, 2*n + 14 = -h. Let l = 16 - h. Round l to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513470 rounded to the nearest 10000?\nAnswer: 2510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*k + 191 - 31, -4*f + 3*k + 127 = 0. Let s = f - 24. Suppose -6*y = -s*y + 16. Let i(p) = p**2 + 10*p + 12. What is i(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2260*v**4 + 2403?\nAnswer: 9040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - -5. Let s = 1.4 - r. Let k = -2 - -2.1. What is the closest to k in s, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28764.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -3, -0.72, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011001111011001 + -11010001?\nAnswer: 10000011001100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 338.47?\nAnswer: -338.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*m + 1260. What are the prime factors of m?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56546100 to the nearest 100000.\nAnswer: -56500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000087971654 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhxp when four letters picked without replacement from llxxhlp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198635 - -198635.177814. Let s = 24.822 - 25. Let z = a + s. Round z to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + a**2)*(-a**2 + 4*a**2 - 5*a**2)*(7496 - 256*a - 7496).\nAnswer: 1024*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 232*o + 15032. Determine c(46).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1763574 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 2 m when four letters picked without replacement from lxlmmbbmffxfx.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 11*w**2 - 11*w - 128. Let i be h(-10). Calculate the highest common factor of 246 and i.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 156. Let a(d) = d**2 + 3*d. Let g be a(0). Put -5, g, l in decreasing order.\nAnswer: l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 7*g**2 - 5*g + 6. Let z be 6\/(-14) + 684\/126. Does 6 divide w(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (124\/(-16) + 8)\/((-1)\/(-2)). What is the nearest to 11 in 1\/3, 14, h?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32459, 32261, 32063, 31865, 31667?\n\"Answer: -198*r + 32657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*u - 294 = -502*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 12*i = -36*i - 861 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) 1 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/7)\/((-2)\/(-7)) - (-23 + -15521)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**8\/6720 + v**6\/240 + v**4\/8 - 3*v**2. Let q(y) be the second derivative of w(y). Find the second derivative of q(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26019312 and 6996.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1130 (b) -0.4 (c) -0.1 (d) -183 (e) -1 (f) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Let t = -2 + m. Let r = 3.3 + -0.3. Are t and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000791 rounded to five dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 5*k - 2384 + 2216, -7*y + 2*y + 446 = 19*k for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248461 or -247215?\nAnswer: -247215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 740 + -253. Let h = w + -485. Sort 0.4, h, -13, -4\/9 in ascending order.\nAnswer: -13, -4\/9, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11736, 23480, 35248, 47052, 58904?\nAnswer: 70816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from ssqqsqqqmxa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1956, -0.4, -8, 2 in ascending order.\nAnswer: -8, -0.4, 2, 1956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f. Let n(o) = -34*o - 545952. Calculate n(v(c)).\nAnswer: -68*c - 545952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -96939\nAnswer: -9693.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3704 and 19172?\nAnswer: 17753272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 - j**2 - j + 6*j**2 + (1 - 7 + 3)*(2*j**2 - 3*j**2 + 0*j**2).\nAnswer: 5*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 144210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q*q**(-1\/6)))))\/q*q**(-1\/10)*q*(q\/(q*q**2))\/q**(3\/4))**26 assuming q is positive.\nAnswer: q**(-2873\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200034, 199913, 199792, 199671?\nAnswer: 199550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - z - 2*z + 3*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -411*s - 164*s - 7238 + 913 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2. Let h(s) be the third derivative of 1\/4*s**4 + 0*s + 0*s**3 + 0 - 7*s**2. Calculate m(h(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/7)\/(-4)*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16787 is divided by 1306.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Let b = 7 + -4. Factor -2*h + 0*h + b*h**2 - h - v*h.\nAnswer: 3*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*c - 4*x, -c - 21 = -5*x - 0*x. Let m be 18\/99 + (-53)\/c. Suppose 76 = y - p, 0*y - 4*y = -m*p - 301. What are the prime factors of y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2\/5 + 19224936*d\/5 + 19224916 = 0.\nAnswer: -4806229, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 + 15*i + 10. Suppose -10*m + 85 = 7*m. Let l be f(m). Calculate the highest common factor of l and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/((-238)\/42) + 1)*(-3)\/26\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -25, -43, -71, -115?\n\"Answer: -g**3 + 4*g**2 - 19*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:15 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -64. Suppose 3*a - u = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -25*b. Let p(q) = 0*q + 2*q + q. Suppose 2*o + 3*l = -42, 4*l = 4*o + 20 + 84. Let n(x) = o*p(x) - 3*u(x). Let f(h) = -2*h**2. Determine f(n(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 496, 989, 1482?\n\"Answer: 493*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 370 + -440. Let h = 53.748 + 16.182. Let o = h + u. What is o rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012197 rounded to four decimal places?\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21445 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-14 - -22) + -10 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -2) + 117\/(-9). Let k be (p + (-3 - -3))\/(-2). Solve j + k = n - 0*j, -n = 3*j + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 8 + 38. Suppose o = -5*q + 19, -2*q - 76 = 2*o - 6*o. Calculate the remainder when o is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3390*g**6 + 363*g**2 + 4.\nAnswer: 406800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 16 - 34\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4*l + 7. Let s be b(5). Let o be 17*4*(-48 + 53). Suppose -32*k - 116 = -o. Solve 3*h - s = k*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -33, -19, -5, 9, 23?\n\"Answer: 14*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + t)*(-2*t - 2*t + 8*t) + (7*t - 3*t - 3*t)*(0*t + 12*t + 1 - 2).\nAnswer: 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 - 1)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1766.2 * -143\nAnswer: -252566.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -110029, -220072, -330113, -440152, -550189?\n\"Answer: r**2 - 110046*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:33 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23175583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 8*d**2 - 11*d - 8. Let f be ((-46)\/69)\/((-4)\/30). Suppose -29 = f*w + 1. List the prime factors of q(w).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, 1\/33, 9\/10, -1\/7?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 13*r**2 + 11*r - 15. Let g be k(-12). Let o = -6 + 4. Let y = -107 + 109. Sort g, o, y.\nAnswer: g, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64668 + 113166. What are the prime factors of n?\nAnswer: 2, 3, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36673 divided by 39.\nAnswer: -2821\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112) + sqrt(112)*-2)**2 - (sqrt(28)\/sqrt(4)*-2)**2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**3 + 23*n**3 + 12*n**3.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 417257729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2607 - -2612. Solve 7*v - p = 8*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 253\/15 + (-108)\/(-810). Suppose 388*d = 389*d - f. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*h + 5415, -2*l + 2*h + 2150 = -0*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 43*q**2 - 87*q + 135. Let a be r(-45). What is the second derivative of a*u - 22*u - 128*u + 51*u - 7*u**2 + 1 + 3*u**3 + 0*u**3 wrt u?\nAnswer: 18*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*r**2 - 3*h*r - 184*r**2 + 4*r - 2 wrt r.\nAnswer: -4*h - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 3*v + 2. What is l(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 24*r**2 - 3*r**3 + 14*r - 14*r.\nAnswer: -3*r**2*(r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100001111 (base 2) in base 4?\nAnswer: -230033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:14 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose 9 = z*q + q. Solve q = 3*g - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215 - -183. Let m = 6 - q. Is m a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2504 + -2501. Sort 4, 0.02, o, -1\/4, -0.7.\nAnswer: -0.7, -1\/4, 0.02, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 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 -2646000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -53?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15270.6 - -15270. What is the second smallest value in -3\/4, -3\/2, 0, o, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**3 - d**3 + 4*d**3)*((-8 + 7 - 2)*(2 + 2 - 2) - 4 + 8 + 1).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 1. Let j(b) = -2*b. Let t(i) = -5*j(i) + 4*x(i). Give t(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/(-17)*2\/3. Let t = 0.6 + -0.4. Let x = t - -0.8. Which is the second biggest value? (a) 0.1 (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 - 6*h + 5. What is the tens digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 57 = -2*q + 2*u, -u - 59 = -4*q. What is the greatest common divisor of 40 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - 2 - (-2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 22. Give r(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.2 - 11.3. Sort -3, -2, l, -60.\nAnswer: -60, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-94)\/(-6) - 4\/6. Suppose -v*m + 11*m + z + 23 = 0, -34 = -5*m - 4*z. Calculate the highest common factor of m and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from {h: 7, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/4))**(-21)\/(p**(-4))**38)**(-2\/95) assuming p is positive.\nAnswer: p**(-671\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410302049 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*h**2*j**2*y**2 - 96175*h**2*j*y**2 + 28*h*j**2 + 2*h*y + 3*j**2*y**2 + 30*j**2 + 3*j wrt h?\nAnswer: -118*j**2*y**2 - 192350*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihwh when four letters picked without replacement from jwbbmihijwjhiiw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + r - 21 - 59*r**2 + 8*r**2.\nAnswer: -47*r**2 + r - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xugx when four letters picked without replacement from {j: 1, w: 9, u: 4, g: 1, x: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -21*a - 5. Let d be s(-6). Let r(x) = -10*x**2 + 2*x - 1. Let c be r(1). Let f = 20 + c. What is the highest common factor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 243 - 5944?\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 37 + 11 = 0. Let i = o - -44. Suppose z = 44 - i. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1764 + 2962. Let b = -822 + q. Suppose -4*p - b = -4*d + 5876, -4*p - 16 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 8, 24, 46, 74, 108?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5520 divided by -184\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346.6427 months to centuries.\nAnswer: 1.12220225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16159 + 16159. Let w(k) = -7*k**2 - 1. Let x(r) = 10*r**2 + 1. Let o(i) = 7*w(i) + 5*x(i). Give o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.117 - -8.11590226. What is c rounded to 5 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 3*t + 3. Let s(p) = p**2 + p. Let a be s(-1). Let q = -3 - a. Let n(w) = -5*w**2 + 7*w + 7. Give q*n(r) + 7*l(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111045 + -122354?\nAnswer: -11305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w + 1. Let k be r(-1). Suppose 2*m = 3*g - g, 3*m - 7 = -4*g. What is the units digit of k\/(-1) + g + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -14*r**3\/3 - r. Let a(l) = l**2. Give k(a(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/160 + (-9)\/(-24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) + 1)*-2 + (sqrt(1200) + -1 + sqrt(1200))*5)*-5 + -2.\nAnswer: -800*sqrt(3) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/5 - 51\/20. What is the closest to 1\/2 in m, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408072543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-204320)\/2555)\/(-8) + 136080\/(-13500) + 4\/50\nAnswer: -2\/511","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 12 = -4*g - 4*n, -2*n = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/60*-4*10. Suppose i*h + 2*v = 272, 5 = -5*v - 0. Does 36 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -2 (b) 3 (c) 2\/7 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956037351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2253\/(-5257))\/(7*1*12\/(-490)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - 85\/(-4). Suppose 0 = 3*d + i - 12, 0 = 3*d + i + 3*i - f. Calculate the lowest common multiple of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 282, 280, 278, 276?\n\"Answer: -2*q + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 1876.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 2824888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.81 * 4.\nAnswer: 11.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-82)\/2788)\/(3\/(-2))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917657.\nAnswer: 13, 70589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 293, 464 in ascending order.\nAnswer: 0, 293, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4109518 to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wggwwgwgrii. What is prob of sequence iir?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/((-4)\/(-12)). Let b = f + 6. Solve -4*j - b = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174981 divided by -10293.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -74970 divided by 1785\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - r + 6*r = 0, -2*r = -4*x + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and -59\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3045 is divided by 505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 1, y: 2, i: 1}. What is prob of picking 2 y, 1 i, and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 19*x - 20*x - 6, 2*x - 12 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)*o)**(1\/42)*o*o\/(o\/o**(-13))*o**5 assuming o is positive.\nAnswer: o**(-2047\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 25831020.\nAnswer: 77493060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 134.15. Let i = -0.55 + g. Which is the nearest to -1? (a) i (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**3 + 938838*n**2 + 1877664*n = 0.\nAnswer: -312944, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*sqrt(119) - (-2*(sqrt(119) + sqrt(119)*-1) + sqrt(119)))\/(sqrt(70)\/(sqrt(80)\/sqrt(8)) + -6*sqrt(7)*-3))**2.\nAnswer: 8993\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17390 = 3*c - 5*y, 5*c - 2*y - 28996 = -0*c. What is c rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 11*m + 8. Let c be v(11). Suppose c*a - 9*a = -1. Is 11 a factor of (-2)\/a*154\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t - 2894 + 916 + 3*t + t**2 + 0*t**2 + 4681*t**5 wrt t?\nAnswer: 280860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1) - (-13 + 3). Suppose -h + m = 3*h. Suppose 3*z + 1 = 4. What is the remainder when h is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:25 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3014*x**2 - 2529*x wrt x?\nAnswer: 6028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 311 - 308. Solve -3*a = -p*h + 13 - 25, -4*h = -a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83140 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: b\"What is the tth term of 754, 6584, 22428, 53290, 104174, 180084, 286024?\n\"Answer: 834*t**3 + 3*t**2 - 17*t - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/14 and -63\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -64, -165 in descending order.\nAnswer: -2, -64, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*b - 3)*(-4 - 2 + 5 + 4 - 3 + 0 + (-1 - 3 + 5)*(-1 + 1 - 1) + 3 - 4 + 3 - 2073 + 4045 - 1474) as g + i*b and give i.\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -4*f**2 - 5 - 7\/3*f**3 - 4*f - 1\/4*f**4. What is p(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 99*q**5\/8 - 42*q**4 + 251*q**3\/8 + 59*q**2\/4 - 35*q\/2 + 1 = 0.\nAnswer: -2\/3, 2\/33, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**2\/2 + u + 4. Let i be g(3). Suppose i*b - 27 = -4*t - 3, -3*t + 18 = -b. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -0*z + 5*z - o, 2*z - 5*o = -7. Suppose z*h - 5*w = 41, 3*w + 54 - 35 = h. Solve -12 = -4*j + 4*m, 5*j + 38 - 8 = -h*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2067, -2066, -2065, -2064, -2063, -2062?\nAnswer: -2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 * -0.03\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -78, 2, -2 in decreasing order.\nAnswer: 2, 1, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2390 * 21.\nAnswer: 50190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -900, -43, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361 is divided by 1353.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-135)*(-2 - -7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 49 = 31*t. Solve -31 = 3*h - 4*k, t*k - 30 = 5*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 7 + 25. Let s = a - -6. Suppose 3*l = -4*c - 10, -2*c - 2*c - 5*l = 14. Put 0, s, c in increasing order.\nAnswer: s, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65764 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13285, -26313, -39085, -51607, -63885, -75925, -87733, -99315?\n\"Answer: -i**3 + 134*i**2 - 13423*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13013, -52062, -117151, -208286, -325473, -468718, -638027, -833406?\n\"Answer: -w**3 - 13014*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = k, 4*k - 2*h - 4 = -0. Let i be (0 + 1)*13 - k. Suppose -c + i = -0*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -183923 at least as big as -183922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 3886 + 3821 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f. Let v be 0\/(f - (0 - 2)). Solve v = 2*t + 2 + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -1.2?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 73?\nAnswer: 2993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12232261 (base 7) to base 11\nAnswer: 6918a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -197 in -0.3, -3\/5, -25\/4?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 4)*(1 + 2 - 2)*(3 - 3 + 2)*(-5*s + 0*s + 3*s + 2*s + 4 - 4 + (-4*s + 4*s + 2*s)*(4 + 0 - 2)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472503.\nAnswer: 7, 71, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (0 + 9))*(-8)\/(-6). Let i(o) = -o**2 + o + 10. Let s be i(0). Let t be (-4 + s)\/(2\/(-5)). Is q equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:12 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143) - sqrt(143))*4)\/(sqrt(11) + sqrt(891) + -3*sqrt(891)).\nAnswer: 12*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 209*j**2 - 22*j - 8724. What is s(105)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*j, g = 2*j - 0*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -531 - -523. What is the tens digit of -7 + -7 - a - -567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*u - 5 + 1, -c + 7 = -u. Suppose c*j = -2*j. Suppose j*a = -3*a + 21. Solve 2*r + 22 = -4*s, 2*r = -2*s - a - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 10. Let b(q) = -q**3 - q**2 + 2*q. Let o(i) = 9*i**3 + 3*i**2 - 4*i. Let n(d) = w*o(d) + 2*b(d). Determine n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44848936.1 rounded to the nearest 10000?\nAnswer: -44850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-27))\/(6*4\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.733791um in millimeters?\nAnswer: 0.000733791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 8 = -7*t. Let n = -2 - 1. Let l(r) = r**3 - r**2 - 4. Let d(u) = -u**3 + u**2 + 3. Give n*l(y) + t*d(y).\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 6. Let p(n) = 29*n + 3. Let u(b) = -111*b - 9. Let j(d) = 9*p(d) + 3*u(d). Give j(h(q)).\nAnswer: -144*q + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3562 - -5543. Let v = b + -5720. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.3, 37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 - c**3 + 0*c**3 - 3*c**2 + 2*c. Let x(j) = 8*j**3 + 142*j**2 - 37*j - 14. Let s be x(-18). Let v(h) = -h**3 + h**2 - h. Give s*v(z) + n(z).\nAnswer: -z**3 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2574, -5142, -7710, -10278?\nAnswer: -12846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2*q + 3. Let p(f) = f**2 - 8*f + 10. Let y be p(7). Let r(a) = 2*a - 3. Let h be r(y). Suppose -h*z - 2 = 7. Give m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.71 - -0.31. Which is the second smallest value? (a) t (b) -3 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -64*l - 1020. Let c be b(-16). What is the closest to -1 in -0.2, c, 113?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 + 3*d - 18. Suppose 3*v = 4*o - 13, -5*v + 17 = -2*o + 5*o. What is the units digit of j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q**2 + 0*q**2)*(-4 + 1 + 1) + (3 - 2 - 2)*(10*q**2 + 21*q**2 - 11*q**2) + 8*q**2 - 10 + 10.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20cc5 (base 13) to base 12\nAnswer: 2a3a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12366 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i + 5 = 72*i, -10 = 4*b + 2*i. Sort -45, -4, -143, b in descending order.\nAnswer: b, -4, -45, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {k: 5, h: 3, l: 7, r: 4}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f - 57. Let m be r(-8). Let x(z) = -m*z**2 + 0 - 3 + 6 - 6*z + z**3 - 2. What is x(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/350)\/((-9)\/((-135)\/(-6)))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 133*x**3 + 928*x**2 - 118*x - 675. Calculate o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 11*o + 16. Let j be x(-12). Let z = 11 + -7. What is p in 2 - 4*p**2 - 2*p**j + 6*p**z - 2*p**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1295 = -2*u, 4*u - 862 = 2*k + 1692. Suppose h + 4*h = u. Let o(c) = -63*c + h*c - 67*c. Let z(s) = 17*s + 1. Give o(z(b)).\nAnswer: -34*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/5 + 339*y\/5 = 0.\nAnswer: -339, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 4. Let l be i(-3). Suppose -l + 2 = m. Sort 2, m, 4 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 7*b**2 - 26*b - 184. Let w be f(-6). Solve -9*d + 17*d = -w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 14*f - 3. Let c(o) = 5*o**2 - 13*o - 4. Let w(z) = -3*c(z) + 4*x(z). Let i(a) = 2*a. Determine w(i(b)).\nAnswer: 4*b**2 - 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143864\/168 - 4\/3.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.8 - -0.2. Let t = 13 - x. Let k = -0.028 - -0.128. What is the nearest to 0.1 in k, -1, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*b**2 + 969*b + 126219 wrt b?\nAnswer: -120*b + 969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1476 (base 9) to base 7\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4945\/28 + -707\/4. Which is the nearest to 3\/7? (a) -1\/4 (b) 2\/5 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g - 69*g - 15 = 0. Suppose 0 = -4*u + g*i + 11, -2*u + i + 3*i - 2 = 0. What is the greatest common divisor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*a - 41, -3*a + 3*a - 99*v = -4*a + 38*v + 1358 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1431*a - 472345. Determine j(-330).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.872 - -0.128. Let a = 2.8 - -0.2. Put y, a, -2 in increasing order.\nAnswer: -2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(2*o + o - 2*o) + 5 - 2*o - 5 + 2*o - 2*o - o + (0 + 0 - 2*o)*(2 - 2 - 2).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 471*l + 16686 = 0. What is l?\nAnswer: 54, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.596 weeks in milliseconds?\nAnswer: 502949260800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6144 + 184\/3*t**3 + 2\/3*t**4 + 3848\/3*t**2 - 5888*t = 0. What is t?\nAnswer: -48, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 - 13*l. Let i(q) = q**2 + q. Give 5*i(k) + z(k).\nAnswer: -k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -10\/87?\nAnswer: -10\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -220030402?\nAnswer: 220030341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51938058*0.4.\nAnswer: -20775223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 5 = 3*t, -t = -x + 5. Suppose 3*z = 4*d + 4, -x*d - d - 20 = 0. Let o be (39\/(-12) - z) + (-33)\/(-4). What is o rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 375*v**2\/2 - 759*v + 762.\nAnswer: 3*(v - 2)**2*(v + 254)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 - 24620*q**4 - 197280*q**3.\nAnswer: 5*q**3*(q - 4932)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1057, 2149, 3241, 4333, 5425?\n\"Answer: 1092*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52\/3 + 4\/6 and ((-28)\/7)\/(4\/(-14)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 497\/14)\/(1\/(-4)). Let k = h - -118. Solve 0 = -k*o - 3*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2130622, -2130625, -2130628, -2130631, -2130634, -2130637?\nAnswer: -2130640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*h - 38 = 3*r, 0 = -2*r + 2*h + 52. Let p(z) = z**2 - 21*z - 24. Let d be p(r). What is the units digit of (-99 + 6)*d\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2604 (b) 9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 4*c = -9*w - 26, 17 = -w - 4*c. What is the closest to -0.2 in w, 0.6, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8073 divided by -39\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -47*w**6\/60 - w**4\/24 + 63*w**3 + 261*w**2. Find the first derivative of b(r) wrt r.\nAnswer: -282*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3609, -3573, -3533, -3489, -3441?\n\"Answer: 2*p**2 + 30*p - 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 - 969*z + 969*z + z**2 to h*z + p + i*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 6777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4075*x - 14446 = -51121 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*j**2 - 258*j**2 - 606*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78848 and 112.\nAnswer: 78848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2 - 16391*j.\nAnswer: -16391*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 163\/420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**3 + 75*f**2 - 337*f. What is t(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 4*a**2 - 200*a + 67. What is d(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -20*a - 1243. What is k(-60)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -271e (base 15) in base 14?\nAnswer: -308a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-3) - 0\/2. Let c be (3 - 2)*-1*g\/10. What is the second smallest value in c, -3\/11, 2\/7, -2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665713904 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 901745 and 110984?\nAnswer: 7213960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -29. Let v = 11.9 - k. What is the closest to -2 in 1, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a - 25. Let x(q) = q**2 + 19*q - 17. Let h be x(-20). Let c be z(h). Suppose 4\/7*d**c + 0*d**3 + 2\/7*d**5 - 4\/7*d**4 + 0 - 2\/7*d = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 13*c - 3*c)*(-1 + 15 - 4 + (-5 + 3 + 3)*(1 + 0 + 1) - 3 + 3 - 1) to b + j*c and give j.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c = -14*c + 18*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2470 and 22\/455.\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11244, 44956, 101114, 179694, 280672, 404024, 549726?\n\"Answer: -4*s**3 + 11247*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125.6 - -126. What is the closest to 4 in a, -5, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -48*m - 800. Let d(r) = -r. Calculate z(d(p)).\nAnswer: 48*p - 800","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 27*s**2 - 261*s - 4. Let x be t(-20). Let m = 33 + 79. What is the highest common factor of m and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/((y*y**(-1\/8))\/y))))\/y**7)\/(y**(-2\/5))**(4\/41))\/((y*y*y**(-7))\/y**5*(y**2*y*y)**10) assuming y is positive.\nAnswer: y**(-58771\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238639?\nAnswer: 238639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -75175 (base 9) in base 11?\nAnswer: -343a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(20) - sqrt(5)) + (sqrt(605) + -1)**2.\nAnswer: -21*sqrt(5) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19366 and 0.07162.\nAnswer: 0.0138699292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*6*1*sqrt(243))\/(-2*sqrt(225) + (sqrt(9) - (sqrt(729)*-1 + sqrt(729)))).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 8*h**2 + 9. Let t be f(-8). Suppose 0 = -4*g + t + 3. Factor -1\/2*a**2 + 1\/4*a**g + 0 + 1\/4*a.\nAnswer: a*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -223, 2?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 11*b - 20 = 0. Suppose 5*d - b*g + 6 = 32, -3*g = 12. Factor 1\/3*a**3 + a**d + 1\/3 + a.\nAnswer: (a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243 - 56. Suppose p = v - 0*v. Suppose 5*t + v + 91 = 3*h, -3*t = 4*h + 190. What is t rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 61*q**3 + q**2 - 3*q + 4. What are the prime factors of a(2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let a be (0 + 0)*(8 - (-207)\/(-27)). Let h(s) be the second derivative of -14*s + a + 0*s**2 + 0*s**3 - 23\/12*s**4. Give h(r(u)).\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7*p**(-3\/8)\/p*p*p*(p*p**(6\/23))\/p*p*p*p*p\/(p*p**(24\/7)*p*p*p)*p*p*p*p*p assuming p is positive.\nAnswer: p**(12181\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63493 + 44593. What is p rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x. Let r(v) = v + 91. Let m(a) = 2*a + 226. Let l(k) = -5*m(k) + 12*r(k). What is l(o(g))?\nAnswer: 22*g - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66736 - -12605?\nAnswer: 101543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2. Let f(s) be the third derivative of 0*s**3 + 0*s + 0 - 39*s**2 - 59\/24*s**4. What is f(g(u))?\nAnswer: -118*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*q**3*z**2 - 2026*q**3*z + 50*q**2*z**2 - 33*q**2 + q*z**2 + q*z + 2*z**2 wrt q?\nAnswer: 1086*z**2 - 12156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - x - 71 = 0, 0 = x - 28 + 24. What is the remainder when (26\/39)\/(1\/381) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 + 7 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-4 - -2) + 15. Let t = p - 10. Factor 4*s + 6*s**3 - 17*s**4 + 9*s**4 + 6*s**4 - 2*s**5 + 10*s**t.\nAnswer: -2*s*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d + 35 = 0. Suppose 0 = -3*j + 2 + d. Suppose -15 = z + j*s - 2, -4*s - 16 = 0. Which is the smallest value? (a) -0.5 (b) z (c) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 129.2098 and 2.4.\nAnswer: 131.6098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6575 and 244225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/5 - 64506*x**2\/5 - 69324591*x + 1387524108\/5.\nAnswer: -3*(x - 4)*(x + 10753)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - (-229)\/10. Let v = 22 - j. Let h = 59587 - 59591. What is the smallest value in h, 0.2, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 1236?\nAnswer: 82812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1086610\nAnswer: -3\/1086610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 124046314 rounded to the nearest 1000000?\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = -4*r, -3*y + 19 = -4*r. Suppose 0 = x - i - 13, -47 = -2*x + y*i - 15. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 17. Sort 2, v, 5 in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 12162*a + 3358788. Calculate m(-290).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from {d: 4, m: 1, c: 6, k: 3}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/13 + 7906*h\/13 - 1906620\/13 = 0?\nAnswer: 258, 3695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1, 11, 4 in decreasing order.\nAnswer: 11, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*12\/68*-1. Let z = i + 7\/51. Sort z, 0.4, 2 in descending order.\nAnswer: 2, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 j when three letters picked without replacement from jittciitpjj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 33 = -3*a. Let n(o) = -o**2 + 17*o - 16. Let c be n(14). What is the remainder when ((-42)\/(-4))\/7*c is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j + 0 - 3 + 2. Let x(d) = d**2 - 9*d + 19. Let u be x(6). What is the units digit of o(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -418.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7722*z + 7537*z - 13135 = 0 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 6)*(7*x - 4*x + 9*x) + 6*x - 6*x + 5*x)*(-20*x**2 + 17*x - 17*x).\nAnswer: 380*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.84 + -0.16. Suppose m - 39 = 4*m. Let y = 14 + m. Which is bigger: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 188. Suppose -5*g + 88 = -u. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = h - 3, -15*h + 3*o = -20*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 9*t = f + 2*f - 4*t + 165, -2*t - 30 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 11.2. Let w = -4 - d. Let y = w + 14.5. Which is the third biggest value? (a) -0.2 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + -10?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pzzp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 9*x**2 + 12*x + 102. What is the remainder when 297 is divided by u(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-640615 - 26782*l + 640615)*(l - l**2 - l) to the form v*l**3 + y*l**2 + n*l + t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.7 - 2.3. Let y = 133\/17 + -1047\/136. What is the biggest value in y, -0.4, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5686.\nAnswer: 2, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 60. Let y be (-4)\/d*7 + (-1)\/(-4). Suppose 3*x + 2*x = -3*t - 166500006, 3*x + y*t = -99900004. What is x rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-72)*(-536979)\/(-263225).\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12984, 25140, 37266, 49356, 61404?\nAnswer: 73404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/3? (a) 0 (b) -4 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41 and 1469979115.\nAnswer: 1469979156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2417530942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 334247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - 18\/(-12))*-2. Let y(h) be the first derivative of 0*h + 4\/3*h**3 - d + 1\/2*h**2. Find the second derivative of y(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 1. Let c = 14 + z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113215966*i**3 + 148230218 wrt i?\nAnswer: -339647898*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 6*q = -6. What is the lowest common multiple of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at most as big as -701\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = 4*y - 7, 7 = 2*y + w. Suppose -2*q + 5*g + 170 = 0, -7*q + 166 = -5*q - y*g. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -15*n + 28. What is the units digit of -8*((-1672)\/64)\/(1\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*g + 357*g + 36364*g**2 + 8684*g**2.\nAnswer: 45048*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 10*s)*(2069 + 2124 + 1172 - 461 - 852 - 241).\nAnswer: 34299*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 9*z + 5. Let i be a(-9). Let x(g) = -g**3 + 3*g**2 + 4*g - 1. Let n(l) = l**2 - 1. Let u(v) = n(v) + x(v). What is u(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 0, 2*g = -v + 6. Let h(t) be the second derivative of 5*t**3\/6 + t**2 - 6*t. Determine h(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8 + 1324*l**2 - 1329*l**2 to f*l**2 + d + w*l and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -26. Let z be 1\/(-6) + 7\/(-21). What is the nearest to -1\/3 in z, s, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17146571 and 0.077.\nAnswer: 1320285.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 20*g**2 - 28*g + 15. Is p(18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 85?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078274 is divided by 63375?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11488, 10822, 10134, 9418, 8668, 7878, 7042?\n\"Answer: -z**3 - 5*z**2 - 644*z + 12138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 25 = -2*g. Let i(m) = -2*m**3 - 7*m**2 + 9*m + 9. Let w be i(-6). What is the remainder when ((-1)\/(-1))\/(g\/w) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -28. Suppose 5*m + 0*d + p*d = 56, 38 = 3*m - 2*d. Solve 5*z + 13 = -m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2756 + 2756 - 46*y. Let f(t) = -12*t**2. Give f(r(o)).\nAnswer: -25392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 495 + 204 = 0. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 64581\nAnswer: 12916.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 8*r**3\/3 + 4*r**2 + 42*r - 36. Calculate the remainder when t(-6) is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171053340.9999894 + -171053250. Let f = -91 + m. What is f rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6921, -6883, -6815, -6711, -6565, -6371, -6123?\nAnswer: -5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 16088922?\nAnswer: 16088926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 4127?\nAnswer: 37143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.22 - 0.32. Let u = -1.96 + x. Let z = u - -0.07. What is z rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.279963925 to four decimal places.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = -4*h + 7*q, 1 = q. Suppose 5*m - 141 + 21 = h. Suppose 79 = 5*u + m. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -126. Let h = m - -86.99709. Round h to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-334)\/((-44)\/20 + (-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 - -91. Let f be (-5 + (-106)\/v)*2. Let j = -14.6 - -1.6. Sort 3\/8, j, f.\nAnswer: j, 3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5816, 5821, 5826?\n\"Answer: 5*t + 5811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1560509, 6242062, 14044651, 24968276, 39012937?\nAnswer: 56178634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 70*j + 180. Let g be r(2). What is the greatest common divisor of g and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450800174?\nAnswer: 2, 11, 20490917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -10, -w + 0 = 2*x - 11. Let l = 8 + 6. Let g be (2\/(-13))\/(l\/203) - -3. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 39075795.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5394397072 to the nearest integer?\nAnswer: 73447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -155*47\/(-1457)*(-6)\/20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3391\/42 + -606\/7. Find the common denominator of 68\/69 and l.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1009217 and 78718926?\nAnswer: 78718926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b35 + 12?\nAnswer: 1b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9528 - 9526. What is the second biggest value in q, 2\/277, -3?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*h + 352*h - 128*h - 118*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*w - 339, -3*w = 2*k + 144 - 383. Suppose -6*h + h = -k. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9045290 and 60.\nAnswer: 54271740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d - 7. Calculate the common denominator of d\/(-27)*(-678)\/16 and -57*(-3)\/90 - 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 15 + 0 - 9 - 5. Determine c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1020, -2033, -3046?\nAnswer: -4059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 1\/6, -1664 in decreasing order.\nAnswer: 0.21, 1\/6, -1664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28584, -5, -500 in descending order.\nAnswer: 28584, -5, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399949 is divided by 25262?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41153352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d. Let u(a) = -202*a - 7. Give h(u(r)).\nAnswer: 2626*r + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42524 and 12969820?\nAnswer: 12969820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b**5 + 3*b**4 - 33*b**3 - 9*b**2 + 15*b + 6 = 0.\nAnswer: -1, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 0.4. Let n = f - 1. What is the nearest to n in -4, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 8. Let x = 117 + -119. Is 7 a factor of (35\/(-20))\/(x\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u**2 + 8*u - 1. Let d be a(7). Let h be (d\/2)\/(3\/5). Suppose -222 = -h*n + 1433. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) -5 (d) -224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z. Let h(l) be the second derivative of -13*l**4\/12 - 86*l. Give n(h(u)).\nAnswer: -130*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112, -461, -1042, -1855?\n\"Answer: -116*u**2 - u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((-4)\/18). Let g(b) be the first derivative of -b**3\/3 + 3*b**2\/2 + 4*b + 4. Determine g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v + 3*p, 2*p - 2 = 5*v + 4*p. Sort -80, v, 0.2 in increasing order.\nAnswer: -80, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2244580690 and -14259.\nAnswer: -2244594949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 3*z - 2*z + (-7 + 7 - 1)*(0*z + 0*z - z) - 20*z - 14*z + 2*z)*(3 + z - 3) to c*z**2 + v*z + m and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 4 (c) 8 (d) 1563\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let k = 11 + -7. What is the remainder when q(k) is divided by 976\/(-427)*21\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117380?\nAnswer: 2, 5, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17719?\nAnswer: -3\/17719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 15854?\nAnswer: -15855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 9*k + 5*k = 0, -k = 5. Solve -4*q - 3*t = -14, 0*t - 6 = -s*q + t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 111\/12 - 3\/(-4). Suppose 4*m + 4*y = 24, 0 = 4*m - 2*y + k - 4. Is m\/(-2)*5*-4 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14853 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m. Let f = m + 9. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -18.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10 (b) 1 (c) 5 (d) -6 (e) 0.062\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -95.5?\nAnswer: 28.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007680256181 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-2)\/8). Let w be (-20)\/(-1 - 1) + x. Is w\/(-6)*18\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from zoxxoxxxzlollxllz.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*(f\/(f\/f**(6\/7)))\/f*f)\/f)\/f))\/((f*f*f**7\/f)\/f)*((f\/f**(-3))\/f)**(-31\/3) assuming f is positive.\nAnswer: f**(-258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d - 3*d + 3*d)*(d + 0*d - 3*d) - 2*d**2 - 3*d**2 + 4*d**2)*(-3*d - 6*d - 1 + 7*d).\nAnswer: 10*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10414*y**3 + 7*y**2 - 51*y wrt y.\nAnswer: 62484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 40*z + 38. Let c be o(19). Calculate the least common multiple of 15 + -12 - (-3 + c) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 11*c - 26*c + 18*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/13 + 712*r**4\/13 - 2892*r**3\/13 - 4312*r**2\/13 + 2890*r\/13 + 3600\/13 = 0.\nAnswer: -360, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/48*-12*(-8)\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -12, -13, -12, -9, -4?\n\"Answer: c**2 - 6*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.4, 1\/2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from peekeeeekwesk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -48. Suppose -g - 2 = -4*q - 5, -a*g + 6 = -3*q. Solve 2*f = g*l, 7 = l - 2*f - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-48)\/(-56)*7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v + 33*v + 34*v + 2 + 9.\nAnswer: 2*v + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (-153 + 171)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.4, -24\/5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0 + 1\/2*y**3 + 3\/2*y**2 + 0*y = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5703.6205 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.82 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 5*c + 20, -3*o + 4*c - 8 = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (13 - 28) + -20 + -28?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-32)*2\/(-7))\/((1\/6)\/(-1))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 - -11)\/4*-11. Solve v = -3*r - 12*f + 14*f, 0 = 2*r - 4*f + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5060?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 3. Suppose -20*z = -25*z - 170. Let g = -31 - z. Let l be x(g). Solve 2*u = 3*p + 3, l*p = 2*p - u + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29509 times 5?\nAnswer: 147545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5655512 is divided by 110891?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2494 + 1236 + 1243)*(1 + 0 + 0)*(-2*x + 11 - 10 + 15) + (x + 0*x - 3*x)*(0 + 1 + 0).\nAnswer: 28*x - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101.88 decades in years?\nAnswer: 211018.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 34185192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 12 = -3*s, 5*s - 3 = 4*n. Suppose -n*l + 266 = -238. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 65880020\/(-30) - (0 - (-2)\/(-3)). Round l to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6716214429 - -22410\nAnswer: 6716236839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*y**2)*(-14*y - 2*y - 53*y).\nAnswer: 207*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2442 (base 5) to base 6\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596222751 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-25))\/p)\/p*p*p*p)**(8\/7)*p**(-2\/23)*p**11\/p)**3 assuming p is positive.\nAnswer: p**(19692\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1675839913, -1675839911, -1675839909, -1675839907, -1675839905, -1675839903?\n\"Answer: 2*o - 1675839915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:23 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 2*a**2. Let c(f) = -f**2. Let o be 2 + (-2)\/((-3)\/3). Let h(i) = o*c(i) + 3*n(i). What is the third derivative of h(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q*q\/(q*q**(-2\/7)))\/(q**(-1\/20)\/q*(q*q**(-2\/43))\/q*q) assuming q is positive.\nAnswer: q**(-27799\/6020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121115587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002429394 to 7 dps.\nAnswer: -0.0002429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291 is divided by 355.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -47519?\nAnswer: 4\/47519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -39*x**3 + 156*x**2 + 154*x - 636. Calculate v(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273898065 = 181*j - 63196335. What is j rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d + 54. Let r be b(6). Let s(j) = j**2 + 5*j + 4. Calculate s(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/10 and 61\/363336150.\nAnswer: 363336150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose f*r - 7*r = 25. Is 351\/15 + 2\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79809 divided by -719?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -80, 0.06, 13, 0?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13942264.\nAnswer: 2, 7, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 7*f + 2. Let x be g(-5). Suppose 20*d - 6 = x*d. Solve i = -d - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose -k = 3*z - 25, 5*z - 185 = -5*k + 2*z. Suppose k = -6*c - 2*c. Sort c, -4, s in increasing order.\nAnswer: c, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-854)*15827\/(-4522)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 + 23610*y**2 - 47565219*y + 4351325472 = 0.\nAnswer: 96, 3887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622907*m + 1868718*m - 622908*m - 622902*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11)\/(-33) - 92\/(-3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*l**3 + 5579*l**2 - 5579*l**2.\nAnswer: 519*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -23) + -2 - (3 - 17 - -2) - -45.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101220202012022 + 22?\nAnswer: 10101220202012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 32*i - 669. Determine c(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 9*d**2 - 3*d - 22. Let m be b(-9). Suppose v - 37 = -3*u, -8*u + 3*v = -m*u - 45. Solve 9 = -p + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-38)*b*b*b\/(b*b**(-6\/7)\/b)*b**(-3\/10)*b**(-1\/9))**(-5\/4) assuming b is positive.\nAnswer: b**(21139\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 1.4, 4 in decreasing order.\nAnswer: 4, 1.4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (10 - 11) + (4 - 2 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.3 - -26. Let c = p - -1. What is the second biggest value in 0.3, c, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8789972957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -416 - -448. What is the greatest common divisor of 424 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3959457, 7918438, 11877409, 15836364, 19795297, 23754202?\n\"Answer: -c**3 + c**2 + 3958985*c + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q*q**(1\/7))\/q*q*q**10)**39)**(-23))**(-3\/8) assuming q is positive.\nAnswer: q**(228735\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + sqrt(612)*1*-1 + 3 + -2 - (sqrt(85)\/(-2*sqrt(5)*-2) - (-4 + 1*sqrt(17)*-3)))**2.\nAnswer: 39*sqrt(17)\/2 + 3017\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4469882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**2 + 14*y - 1. What is the tens digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3444652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + 80*t**2 - 6*t - 13. Let s(a) = -3*a**3 - 96*a**2 + 7*a + 12. Determine -6*n(i) - 5*s(i).\nAnswer: -3*i**3 + i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.79, 0.2, -1\/4 in ascending order.\nAnswer: -0.79, -1\/4, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5792 is divided by 998?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21)\/y)**(-14\/3)\/(y**(-3\/10)\/(y*y\/y**11)) assuming y is positive.\nAnswer: y**(2819\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/2331 and -11\/877590?\nAnswer: 32470830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 5)*3 + -1.\nAnswer: 6*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104852, -204306, -303760, -403214, -502668?\nAnswer: -602122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.6 + 7.1. Let f = 8 + -3. Let w = -6 - -10. What is the second smallest value in f, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14 + 6 = 0. Solve -z*n = n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11253 is divided by 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2126 - 0.2874. Let f be (-2)\/(-6) + -1 - -1. Let o = -0.1 - -0.2. What is the nearest to o in f, q, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -2*u, -2*u = 2*u - 3*j + 1. What are the prime factors of -4 + u + 10 + 2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 3}. What is prob of sequence ac?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1056\/792*6\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -28. Suppose -h*x + 0*x = -70. Suppose 23*o - 22*o = x. What is the highest common factor of o and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 2}. Give prob of sequence mm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/((-21)\/3))\/(7\/(-28)*7)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2 + 2)*(-3*j**2 - 2*j**2 + 4*j**2)*(0 + 0 - 2*j) + (-3*j + 4*j - 2*j)*(-49*j**3 + 21*j**3 - 26*j**3).\nAnswer: 52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 3*b = -2, 0*b - 45 - 20 = -3*j - 5*b + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 + 6553*w**4 - 1184322*w**3 + 53448680*w**2 - 257350400*w + 94464000 = 0.\nAnswer: -1476, 2\/5, 5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 0*r**2 - 2 - r**2 - 2*r**3 + 9*r - 8*r. Determine n(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 11 + 13. Let d(k) be the second derivative of k**3\/6 + 6*k**2 - 3*k. Let s be d(g). Sort s, 3, -4, -5.\nAnswer: -5, -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21 - 6) + (2 - 45) + 16 - 87) + 7.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*i + 966*i + 4811*i**2 + 492*i**2 + 824*i.\nAnswer: 5303*i**2 + 2058*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 2*x**2 + x - 255. Let u be h(0). Let j be u\/(-20)*(-4)\/(-3). Suppose j*q - 13*q - 16 = 0. Calculate the remainder when 14 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) -20.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*i - 11 + 39 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 154792.5082?\nAnswer: 154792.4682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 1615*s**4 - 356945*s**3 + 5015*s**2 + 356945*s - 6630 = 0.\nAnswer: -1, 6\/323, 1, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 49441.48626 to the nearest one hundred.\nAnswer: 49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1020223 (base 4) to base 15\nAnswer: 15a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7*v = -294. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = 29. What is the common denominator of 33\/(-12)*r - -2 and (-1 - -2) + 53\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:39 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785 + 233 = 46*j + 414 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 9:20 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7946 - -79361\/10. What is the common denominator of k and (-8)\/2*98\/80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2 - 4*f + 9. Let o(a) = 38*a**2 + 19*a - 46. Let n(h) = 11*i(h) + 2*o(h). Let x(d) = 2*d - 3. Let r be x(-2). Determine n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18562 = -6004*j + 344262 + 172632 for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {i: 12, j: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 u, and 1 f when four letters picked without replacement from {k: 1, f: 7, d: 2, u: 2}.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(24)\/(sqrt(48)\/sqrt(8))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*7\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 3\/2*y**2 + 1 + 0*y - 4\/3*y**3. What is the second derivative of v(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3 + 1542*o**2 - 195027*o - 804972 = 0. What is o?\nAnswer: -4, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 2)*(-2*a + 2 - 2) - 10*a + 10 - 10 - 4*a + 7*a + 11*a)*(3*a**4 - 5*a**4 - 3*a**4 + 1).\nAnswer: 10*a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 67*k**2 - 346*k + 12736. Calculate c(-74).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 543 - 536. Let t(s) be the second derivative of -1\/10*s**6 - s + 1\/7*s**g + s**3 + 0*s**2 - 1\/4*s**4 - 9\/10*s**5 + 0. Suppose t(l) = 0. What is l?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -1 (b) 4 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00614 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlt when three letters picked without replacement from dtfykkkkkdld?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 5 + 2*d**3 + 4 as c*d**2 + w*d**3 + n*d + s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 435 divided by -29\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*y**2 + 584*y + 5592.\nAnswer: -2*(y + 6)*(29*y - 466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28)*(-1)\/2. Let a = -34 - -36. Sort b, a, 0.3.\nAnswer: b, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001145349 rounded to 7 decimal places?\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*h - h. Suppose -4*z = h + 2, 5*b - 185 = 5*z. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13301 + 3?\nAnswer: -13254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1426 - -2?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n - 63 = 44*n. What is the remainder when 79 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k**2 + k)*(91 + 17*k**2 - 91) + 17*k**3 + 1 - 6*k**4 - 17*k**3.\nAnswer: 11*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = -12. Let z = 13 - m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/9)\/(2849\/(-1554)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 + -1)*-1)\/(61\/(-122)). Solve -1 - 13 - 10 - 4*q**y + 28*q = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695039681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-30)\/(-66150)*-21\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443895298 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.832942 to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1680 = 110*n - 126*n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2179601 - 4764399. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/48 - 35*t**3\/4 + 53*t**2 + t + 2049. Factor x(k).\nAnswer: -(k - 2)*(k + 212)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25783163 to the nearest integer?\nAnswer: 5078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 404096?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 8*r**2 - 9*r + 3. Let h be o(9). Let s = 6 - h. Solve 5*c = 5*l, -3*c + s*l = -l - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 11) + (5 + 101 - (1 - -13))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + (-3)\/6. Let o(u) = -7*u + 5. Let q be o(1). Let f be (3\/(-2))\/(9\/(-18)) - q. Solve -d + c*d + f*s = -26, 2*s + 11 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p. Let c be l(1). Let u be (3\/((-9)\/2))\/((-1)\/6). Let f = c + u. Solve f = r - 1 + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 7*u**5\/20 + u**4\/12 - u**3\/6 - u**2\/2 - u. Let z be ((-6)\/9)\/(2\/3). Let t = 0 + z. Calculate a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25*n. Let q(f) = 87*f**2 - 3 + 3 + 0 - 68*f**2. What is q(d(w))?\nAnswer: 11875*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5)*(-1)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h**20\/h)\/h*h))\/((h*h*h**(-1))\/h*h)*(h\/((h**(-5)*h)\/h))\/h*h\/((h\/h**8)\/h))**(-3\/5) assuming h is positive.\nAnswer: h**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 324 - 218. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398091067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5120 + -b?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**3 + h**3 - 3*h**3)*(-3 - 2 + 4)*(5*h + h - 5*h) + 4*h**4 + 3*h**4 - 4*h**4 as w*h**2 + v*h**3 + k*h**4 + y*h + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 85. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 0.23734.\nAnswer: 0.0332276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 45 = -75. Suppose 2*i = 3*v + 75, i + 75 = 5*v - 8*v. Let p = v + n. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*o + 43, 0 = -3*o + o - m + 23. Suppose 3*k - 4*q - 180 - 224 = 0, 2*k - 270 = 3*q. What is the greatest common factor of o and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5 - 4. Suppose 0*q - 5*a + k = -q, 4*q - 79 = -3*a. Round q to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 1 (c) -330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 27 = -517. Let u be i\/(-336) + (-2)\/(-12). Which is the smallest value? (a) 3 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 643?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3599*m*t - 985*t wrt m?\nAnswer: 3599*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Solve -n = -u*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x**3 + 2*x**3)*(-6*x + x + x).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 3\/32 (c) -1\/2810 (d) 3\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 9356?\nAnswer: 934b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6857039149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -12) + (1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2139000 by 5.\nAnswer: -427800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*c**2 - 6*c + 6*c + (0 - 3 + 1)*(-3*c**2 - c**2 + 3*c**2).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, v: 1, u: 3}. Give prob of sequence vu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5661\/120768)\/((-1)\/(-16)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-400)\/(-532) + ((-286)\/247)\/(-11). Let j = 0.03 - -0.27. What is the biggest value in 3\/7, j, u, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**2*j + 2723*c**2*l**2 - 4*c*j*l**2 + 2*c - j*l + 7861*j wrt l?\nAnswer: 5446*c**2*l - 8*c*j*l - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -38.9. Let t = g - 7.2. What is the third smallest value in 0.5, t, 19\/3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a - 6. Solve 4 = -2*d - 2*h, -d - a*h + 0*h = 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5)*5)**2 + -1.\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 5*p + 49, -4*p = -20. Let g = 5986.3 + -5986. Sort 0.5, g, l.\nAnswer: l, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 4*z + 51. Calculate u(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 9*i - 3*o + 1 = 11*i, 0 = i - 14*o - 13*o - 131 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*32\/120. Suppose 4*d + b = -2*b - 11, 4*d + 4*b + 12 = 0. What is the third biggest value in 4, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6152 + 5021 - 5163 = 181*c - 6117 for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 + (8 - 18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -180000*q. Let r be s(-2). What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -322?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.1 - -27. Which is the closest to m? (a) -0.1 (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -509457347, -1018914693, -1528372039, -2037829385, -2547286731?\n\"Answer: -509457346*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*l + 2 - 4 = 0, -a + 17 = -3*l. Let r = a - 5. Suppose 3*h - 18 + 0 = r. Solve h*q + 3 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 + -191. Let n = -19 + 16. Sort 0.6, d, n in decreasing order.\nAnswer: d, 0.6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -24.1. Let d = 70 + c. Let o = d + 14.89999824. What is o rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/6, -598786?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77362 and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789693.03s to weeks.\nAnswer: 1.305709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1024357.556 + -3\nAnswer: -1024360.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-10)*y\/(y\/(y*(y*(y*y\/(y\/y**(-4\/29)))\/y)\/y*y)))\/(y**(-4))**(-23) assuming y is positive.\nAnswer: y**(-2846\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 3. Let a be 168\/60 + (-1)\/(-5). Suppose -2*j - 20 = a*j. What is u(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -189*v**5\/10 + 55*v**3\/6 - 314*v. What is the second derivative of k(m) wrt m?\nAnswer: -2268*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329 - -552. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-5))\/((-13)\/((-455)\/(-21))). Let c be 1\/(2 - 1)*20. Suppose -5*o + c = -o. Sort -5, s, o in increasing order.\nAnswer: s, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/21)\/((-16)\/(-12)). Sort -1, q, 0.03 in descending order.\nAnswer: q, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 2, -4.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 4915651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.67 and -0.1.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 330918.097 to the nearest 10.\nAnswer: 330920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 4:56 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -40. Suppose -2 = -p*j + z, 3*j + 2*j = 5*z - 10. Solve j = h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 - 554. Let d = 1918 + j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (2 + -1) - (7 + -24).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.11259 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1593100 and 530.\nAnswer: -844343000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 210268, 420408, 630548?\n\"Answer: 210140*o + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + i - 4*i)*(-7*i**4 - 40*i**4 - 2*i**4).\nAnswer: -147*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/4 (b) -840896 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7569273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 2*n - 1260. Suppose -j + 17 = 4*i - 13, -5*j + n = 5*i. Calculate the remainder when j is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621*r + 15 = -624*r. What is the biggest value in 0.3, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 48*n**2 - 3*n + 5. Let d(c) = c**3 - 25*c**2 - 3*c + 3. What is 5*d(j) - 3*p(j)?\nAnswer: 2*j**3 + 19*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 22*r**2 - 39*r + 1179. What is g(21)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 18. Let o(n) = -3*n - 10. Let z be o(h). What is the greatest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7453, -14975, -22497, -30019, -37541?\nAnswer: -45063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16305347.\nAnswer: 16305347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = -v - p, -3*p = -2*v - 6. Let q = 3 - v. Find the first derivative of 3*n - 4 + q - 1 + 4 wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.776677 rounded to two dps?\nAnswer: 98.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-2 - -1) + 2. Is 1\/q + 68130\/108 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295286 to 4 dps.\nAnswer: 0.0295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373418?\nAnswer: 2, 3, 41, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y**6)\/((y**(4\/11)*y)\/(y\/(y\/(((y**(-10)*y*y)\/y)\/y)))) assuming y is positive.\nAnswer: y**(-306\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = b - r, -5*r + 19 + 29 = b. Let u = 0 + -2. Put 4, u, b in decreasing order.\nAnswer: b, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.73 + 0.52. Let l = 0.75 + j. Which is the third biggest value? (a) 6 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54280351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 222526738 a multiple of 5427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106 - -1?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 576093.\nAnswer: 288046.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -200202011001 (base 3) in base 10?\nAnswer: -368983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*h**5\/5 - 43*h**4\/5 + 17*h**3\/5 + 51*h**2\/5 - 26*h\/5 - 8\/5 = 0. Calculate h.\nAnswer: -1, -2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300*c + 5 - 365*c - 4 to the form p + j*c and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 6678*f - 570*f - 619*f - 1 - f**2 - 2516*f.\nAnswer: -2*f**2 - 10383*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-92)\/(-12))\/(26\/156) is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**16)\/d*d**(-3\/8) assuming d is positive.\nAnswer: d**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87679546 to the power of 1\/2, to the nearest integer?\nAnswer: 9364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000111 (base 2) in base 15?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - (-6*(sqrt(140)*-2 - sqrt(140)) + sqrt(140)))\/(((1*sqrt(112) - sqrt(112)) + sqrt(112) + sqrt(112))*-6).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(30)\/sqrt(6)*6))**2*-2.\nAnswer: -11\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(26*p - 26*p + 8*p**4) + 2*p**3 - p**4 - 2*p**3 + (72*p**2 - 72*p**2 - 4 - 2*p**3)*(-2*p + 0*p + 3*p).\nAnswer: 13*p**4 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 285? (a) 0.3 (b) -4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:59 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:34 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.015318719 * -5.\nAnswer: -0.076593595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/540 and 92\/10665.\nAnswer: 42660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**2 + 16*q. Let l(o) = -2*o**2 + 3*o. Let u(y) = -16*l(y) + 3*r(y). Let k(d) be the first derivative of 4*d**3\/3 - 1. Determine u(k(a)).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199268 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 4. Calculate the least common multiple of 18 and w(-4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15556211 = 185*p - 15560281 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zenzzkkez. What is prob of picking 1 z and 1 e?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 7)*(1 - 1 - 2*r)*(-4*r - 3*r - r) + r**2 + 2*r - 2*r + 2*r**2 + 2 - 2 - 3*r**2 + 5*r**2 - r**2 + (-5*r + 4*r + 0*r)*(r - 5*r + 3*r).\nAnswer: 149*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -2. Let b be (-108)\/225*(3 + (-22)\/4). Solve -4\/5*f + 0 + b*f**t - 2\/5*f**3 = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2476\/3711 + -2\/3711. Let y(n) = -n + 2. Let w be y(-7). Let d = w + -8. What is the smallest value in 0.4, -2\/15, d, i?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2 + 22*n + 147. Let r = 8 - 18. Let m be v(r). Solve -c - m + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1510.6 + 1510.9. Which is the third biggest value? (a) 3 (b) 3\/7 (c) -746 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let c(j) = 757516*j. Determine c(s(l)).\nAnswer: -757516*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3363, 3, -8 in ascending order.\nAnswer: -8, 3, 3363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 241. Let j be 3 + -2 - (-1)\/(-1). Put j, l, -1 in descending order.\nAnswer: l, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2)*(-5 + 4). Suppose n*z - r = 2*r - 13, 0 = -3*z + 2*r - 7. Let v be (-1)\/z + 959994 + 1 + 6. What is v rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115734 divided by 268?\nAnswer: 57867\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 20. Let u be v(6). Suppose -5*p = 3*o + 2*o - 475, -u*p = -2*o + 214. Let q = o - 133. Which is bigger: -36 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 845 - 773. Solve 0 = -9*x + 14*x - p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3 - z**2\/2 + 135*z - 97. Let i(y) be the first derivative of k(y). Let m(c) = -2*c. Determine 2*i(w) - 5*m(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v**(-1\/3)\/v))\/v*v**7)**(-32\/7))**10 assuming v is positive.\nAnswer: v**(-1280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*i - 9, -3*q = -28*i + 26*i + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.00869 times -5\nAnswer: 0.04345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 652065 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 899\/4435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(11) + 3)*-1)**2*2.\nAnswer: 20*sqrt(11) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -7*w - 5*w. Solve -2*x + 3*x - 4*d = -9, w = -3*d + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85504*f + 5 - 5 - 90197*f to w + j*f and give j.\nAnswer: -4693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.39 + -0.11. Let g = 3 + j. Let l = -2.5 - g. What is the third smallest value in l, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {r: 1, u: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 9*t = -24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -226*w**2 - 3*w + 224*w**2 + 3*w. Let x(d) = -8*d. Give x(i(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 28*w - 2515. Give j(84).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1\/2, 0.4, -0.02 in descending order.\nAnswer: 2, 0.4, -0.02, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12235 is divided by 266?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 10. Suppose -z = -s*z + 320. Suppose z = -2*n + 6*n. Solve 3*d = -d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4*a - 4*a)*(29 - 6*a**3 - 29).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -0.936724\nAnswer: -2.6228272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2812\/2109)\/(-2*(-11)\/48*-2)\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5513488 plus 98145?\nAnswer: 98145.5513488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 28*j**2 - 27*j + 121. Give g(-29).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 17311352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a + 0*a**2 + 5*a**2 + 5 - 10*a - 6*a**2. Give d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -4 (c) 72 (d) 3 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**9\/432 + g**5\/120 + 7*g**3\/6 + 7*g**2. Let w(o) be the first derivative of h(o). Find the second derivative of w(p) wrt p.\nAnswer: 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 37 + 23 = 0. Suppose -u*g - 99 = 41. What is the closest to 1 in g, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1504 equal to -7522\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 - 16 = -q, -q + o + 6 = 0. Let s(r) = r**2 - 3*r. Let b be s(3). What is the derivative of b*c + 0*c + 1 - q*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2*x - 2. Let y be c(2). Let d = 261.1 - 261. What is the second biggest value in d, y, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.762? (a) -65.7 (b) -0.01 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(((u*u*u**(-1\/4))\/u*u*u)\/u)))\/u)**(-49))**(-25) assuming u is positive.\nAnswer: u**(8575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 297, 4773, 12227, 22653, 36045, 52397?\n\"Answer: -j**3 + 1495*j**2 - 2*j - 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -916.52 and 1.03?\nAnswer: -944.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 1\/60*w**5 - 1\/6*w**3 + 1\/3*w**4 - 12*w + 0 + 7\/2*w**2. Let d(z) be the first derivative of u(z). Calculate d(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b + 43. Let p be g(9). Let u be (p\/(-732))\/(1\/(-4)). What is the closest to 10 in -0.1, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.162 + -153.838. Let t = -154.7 - r. What is the biggest value in -0.07, t, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1155325 or -1155334?\nAnswer: -1155334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 145, 222, 285, 328?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1759784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 147577.\nAnswer: 6\/147577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*1 + sqrt(833) + 2)**2 + ((-1 + sqrt(833))*-2)**2 - (sqrt(833) + 2)*-3*-6) + -2.\nAnswer: -126*sqrt(17) + 6634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 - 95*o**3 - 1058*o wrt o.\nAnswer: 24*o**2 - 570*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61046325*q**2 - 12010270*q + 2 wrt q?\nAnswer: -122092650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20*2\/(16\/(-10)). Let l be (4\/x)\/(6\/(-15)). Put -4, 0.1, l, 0 in increasing order.\nAnswer: -4, 0, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 132. What is the lowest common multiple of t(-36) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10948\/(-920) - (-1)\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2339952 and -3\/164.\nAnswer: 2339952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:11 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 11 = -107. Suppose 0 = -0*y - 4*y + o. Let v = 7 - y. Sort -3, -1, v in increasing order.\nAnswer: v, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 12:49 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/27*15\/2. What is the second derivative of -3*k**5 + 4*k**5 - 6*k + u*k + 5*k wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -158. What is the remainder when 315 is divided by g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -435, -652, -869?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364 - 153. Let x = z - 123. Suppose 3*j - 52 + 0 = 2*w, 4*w + x = 5*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) 0.07 (c) 14\/9 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 16 + 12. Is (-332)\/(-14) + 2\/t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 5. Let g be m(4). Let t be ((-42)\/g)\/((-6)\/(-9)). What is the third derivative of -7*v**2 - v**6 - 4*v**6 + t*v**6 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -b, 100*s = 104*s + 3*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*h**3*m**2 - 218*h**2*m**2 - 5*h*m**2 - 786 wrt h.\nAnswer: 240*h*m**2 - 436*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 652*i + 13*i**3 + 1367*i - 715*i - 5*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = 4*l, 4*y + 3*l - 12 - 15 = 0. What is the second derivative of -y*x**2 - 10*x - x - 28*x**2 - 7*x**2 wrt x?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 902 - -3116. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -11. Suppose h - j = -2*h + d, -2*j = 5*h - 27. 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 remainder when 1213 is divided by 908?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 14*t + 112. List the prime factors of w(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 358792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73811.\nAnswer: 31, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 - 9 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5884 divided by 5.\nAnswer: -5884\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111000 (base 2) to base 4.\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*w + 11. Suppose -f - 2 = 2*v - 13, 4*v - 23 = -3*f. Suppose -w*s - f = -4*s. Is 1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 19 = -v, 2*v - 1217 = -3*w - 1242 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**2 + 882*m - 989. Let k(i) = 4*i**2 + 293*i - 333. Let n(w) = 8*k(w) - 3*q(w). Factor n(j).\nAnswer: -(j - 1)*(j + 303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 770, 1480, 2190, 2900?\n\"Answer: 710*v + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 67 = 51, -441 = -x + c. Calculate the greatest common factor of x and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479373939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14))\/((-14)\/(-147))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494035936 to the nearest integer?\nAnswer: 22227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 - 148*a**2\/11 + 1984*a\/11 - 7424\/11.\nAnswer: 2*(a - 58)*(a - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/32 and (-55221)\/(-251532) - ((-188)\/329 + (-50)\/(-63)).\nAnswer: 74528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*3)\/(6\/(-28)). Suppose -c + 5*c = -36. Let m = c + o. Solve i + m*a = 5*i + 28, -5*a = i - 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -a - o, 26*a = -4*o - 31457 + 15806 + 15725 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-42))\/(1210\/847)*198?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1523.9994152 - 1524. Round f to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*v + 9063 = -128*v - 6394 - 5129 for v.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*m + 2 - 5, 4*d - 6 = -m. Let k = m + 16. Solve -k*v + 6*v + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:26 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1001?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 2, m: 4, u: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -320?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 24*i. Suppose 2*y - 18 = -2*n, -4*n + 4 = -y - 12. Let l(r) = 5*r**2 - 4*r - 8. Let o(x) = x**2 - x - 2. Let b(w) = y*o(w) - l(w). Give b(h(k)).\nAnswer: -576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28c (base 15) in base 12?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -115183.089 rounded to the nearest ten?\nAnswer: -115180","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round -224175.575 to the nearest one hundred.\nAnswer: -224200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -5 + 4 + -1 + 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23106 + -1357823?\nAnswer: -1380929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3726.7 - 3711.7216. Let t = 15 - i. What is t rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**2*w**3 + 2*r**2*w + 3*r**2 - 514*w**3 - 60*w**2 wrt w?\nAnswer: 12*r**2 - 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/10*(-25)\/10. Is 12 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547376 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 73 - 33 = 0, 2*r - 3*a - 22 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:14 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 233 + b24?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. What is the tens digit of (18*2 - 3) + y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 239 and -0.6?\nAnswer: 239.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 234, 807, 1922, 3759, 6498?\nAnswer: 10319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-31040.\nAnswer: 12416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 8*r - 88 = 0. Let f = r + -19. Solve -f = -5*o, 0 = -3*y - 0*o - 4*o + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 197*l - 18. Suppose 17*t - 7*t - 70 = 0. Let b be (-3)\/t + (-52)\/(-7). Is z(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29549674.\nAnswer: 2, 7, 11, 19, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*i**2 - 391*i**2 - 300*i**2.\nAnswer: -453*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-30))\/(61\/122).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 466*g**3 - 54289*g**2.\nAnswer: -g**2*(g + 233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107\/(-428))\/((-22)\/8)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.32, 5, -4\/3 in increasing order.\nAnswer: -4\/3, 0.07, 0.32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149109967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1611 or 1610?\nAnswer: 1610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 104*a**2 - 1800*a + 206. What is y(-82)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*b + 132*b - 6031 = -469*b + 14539 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 2120374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.21 - 6513862761.\nAnswer: -6513862738.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 68, 184, 398, 740, 1240, 1928, 2834?\nAnswer: 3988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5 - 3 + 6848*v + 4*v**2 - 6854*v. Give c(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62252, -62309, -62406, -62549, -62744, -62997?\n\"Answer: -c**3 - 14*c**2 - 8*c - 62229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472353 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49243 or -49232?\nAnswer: -49243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 314\/3297*45\/(-30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -18b2a08?\nAnswer: 18b2a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88338389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 139704*m - 2439650952.\nAnswer: -2*(m - 34926)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3047151\/50 + -60941. Calculate the common denominator of b and 27\/580.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, 14, -3895, 4 in ascending order.\nAnswer: -3895, -5, 4, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 189075418 a multiple of 4467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 + 31 - -1*4 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23*0.04857819\nAnswer: -1.11729837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1689956640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070.5823 seconds in minutes?\nAnswer: 34.509705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19676075 + 2?\nAnswer: 19676077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 34. Let h be g(-8). Suppose 0 = -2*d + 3*d - 4*v - h, 0 = 2*v - 8. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.3901 times 0.7?\nAnswer: -49.27307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11269.\nAnswer: 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -553*z. Let y(u) be the first derivative of -u**3\/3 + 1337. Calculate y(c(o)).\nAnswer: -305809*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 5*g**2 + g + 3. Let d(a) = -2*a**3 - 5*a**2 - a - 4. Let x(s) = -6*d(s) - 7*o(s). What is the remainder when x(-5) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163 rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (3 - -1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + m**2 - 65 - 14*m**4 + 115 in the form o*m**4 + d*m**3 + f*m**2 + g*m + p and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -18674195 greater than -18674204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 229, 245, 255, 247, 209, 129?\n\"Answer: -2*y**3 + 9*y**2 + 3*y + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -275?\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1390*l**3 + 7*l**2 + 20. Let v(o) = -2781*o**3 - 16*o**2 - 50. Determine -5*n(j) - 2*v(j).\nAnswer: -1388*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + 5*(sqrt(91) + sqrt(91)*-1) - sqrt(91)) + sqrt(91) + -4*sqrt(91)*-1)\/((sqrt(42) - sqrt(378)*1)\/sqrt(6)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1709 + 1716. Solve 2*a - 1 = -2*v + x, 2*v - a = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - (79 - 6). Let x = h - -319. Suppose 0*u = 5*u - x. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:50 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 24*q - 1. Let u(a) = 29*a - 1. Let r(n) = 4*c(n) - 5*u(n). Let b(z) = 7*z. Give b(r(k)).\nAnswer: -343*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2\/3)*v)\/v**(-4))\/(v**(1\/5)\/v**5)*((v\/(v**(1\/2)\/v)*v)**(-38))**4 assuming v is positive.\nAnswer: v**(-5513\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1*5 - sqrt(171) - sqrt(171) - sqrt(171))\/(sqrt(36)\/(sqrt(16)\/sqrt(4))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 8. Let g be w(7). Let u be (-3)\/3*3\/g. Which is the second smallest value? (a) 3 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36199902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = g + 24, g = 3*l - 3*g - 28. Suppose 0 = -l*t - 15 - 1. What is the nearest to -0.3 in t, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 4*c + 14, 0 = 5*m - 67*c + 72*c - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001110110 - 100000100?\nAnswer: -111101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/4 (b) 48 (c) 1958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4682378552?\nAnswer: 2, 585297319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 65 - 681. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*y = -8, -m - 6*y + 2 = -5*y. Let x be 4 + 1 - (1 - 1). Factor 16\/3*g**4 + 16\/3*g**2 - 8*g**3 + m - 4\/3*g**x - 4\/3*g.\nAnswer: -4*g*(g - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 10 - 54)*(z**2 - z + z) + 2*z**2 + z + 0*z**2 + 9 - 2*z as j + f*z + n*z**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 110*j**2 - 85*j + 1518. What is b(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5067 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342848 divided by -7.\nAnswer: -342848\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 7*x - 13*x - 2*x - 12*x**2 + 2*x - 7*x**3. Let v(y) = -y**3 - y**2 - y. Determine f(n) - 5*v(n).\nAnswer: -2*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 6*o**2 - 4*o - 2. Let b be (-12)\/(-5)*(-10)\/(-3). Let v(u) = u - 4. Let z be v(b). Give w(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 12 = 13*n. Suppose -n*x + 12 - 6 = 0. Suppose 89 = 4*l - 3*t, -3*l + x*t + 60 = -6. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1220932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5857 - 5973 + 7*b + 11830.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -10*u**5\/9 + 82*u**4\/9 - 262*u**3\/9 + 406*u**2\/9 - 304*u\/9 + 88\/9 = 0.\nAnswer: 1, 2, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 415968268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(60\/140)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.07368 minutes to microseconds.\nAnswer: 4420800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 20. Let i be (s\/2)\/(2\/16). Let w = 8 + -4. Is w greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*(h\/(h*h\/((h*h*h**(-8))\/h))*h)\/h*h*(h**(-1)\/h)**(19\/5))\/((h\/h**(-5\/4)*h\/(h*h**(2\/9)))\/(h\/(h*h**(3\/2))*h*h**(-3)\/h)) assuming h is positive.\nAnswer: h**(-3803\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6078 and 948?\nAnswer: 960324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (34 + 6)) + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14837947.\nAnswer: 47, 315701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005316 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + x = 49, -x - x = 4. Calculate the remainder when 33 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*r + 97158 = 81*r + 26913. Solve 318 = -g + r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - v - 43 = 0, 4*m - 567861 = 5*v - 567835 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/17 or 1?\nAnswer: 21\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22619 or -22621?\nAnswer: -22621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 3*g**2 + 4*g - 137. Give w(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 - 28*s**3 - 72*s**2 - 68*s - 22 = 0. What is s?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**5 - 2*b**4 - 33*b**3 - b**2 + b - 43 wrt b?\nAnswer: -780*b**2 - 48*b - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -405*t + 2429. Determine r(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/2399 (c) -1\/148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10809, -21601, -32397, -43197?\n\"Answer: -2*l**2 - 10786*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 times -17?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 4476 + 10451 + 9339 = 0. What is the highest common factor of 248 and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6596?\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13 = -22. Suppose 0 = 2*w - 6, -z*o + 26 = -2*o + 2*w. Suppose 2*j + 14 = o*j. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 19*f**2 - 30*f - 252. What is h(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71012?\nAnswer: 2, 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + -1 + (1 - 2). Suppose -2*b + p = 0, 40 = -0*c + 5*c + 5*b. Suppose i - 35 = -4*j, 2*j - 5*i - 19 = -c*i. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -516.1142 rounded to one dp?\nAnswer: -516.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6338*y - y**4 + 2*y**4 + 6362*y in the form r*y + h*y**3 + w*y**4 + v + s*y**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120)\/sqrt(5) - sqrt(24) - sqrt(24))\/sqrt(12).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1*6 + 3. Let h(v) be the third derivative of -1\/24*v**4 + 0 + 1\/2*v**3 - 1\/60*v**5 - 5*v**2 - 1\/120*v**6 + 0*v. Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 28*(18\/45 - (-164)\/40).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029821848427 to four dps.\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let i(o) be the third derivative of 5*o**4\/24 + 7*o**2. What is i(f(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-18) + (91\/(-78) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 307521*o**2 - 1537668*o - 1230144.\nAnswer: 3*(o - 102512)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 2, x: 2, e: 1, o: 1, p: 1}. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5\/3 - p**4 + 82*p**3\/3 - 106*p**2\/3 - 155*p - 275\/3 = 0.\nAnswer: -11, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 2.7. Let m = -0.5 - r. What is the biggest value in -0.5, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1. Let j(x) = 10*x**2 + 4. Let t(l) = 4*f(l) - j(l). Let v(w) be the first derivative of w**2\/2 - 6. Determine t(v(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/21 + 8\/7. Which is the closest to v? (a) -5\/2 (b) -6\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 355 = 5*g, 5*g - 221 = -l - 2*l. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/294 and -79\/74.\nAnswer: 10878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 = -43*l + 51 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 0*j = 45. Suppose -3*c = -3, -j*k + 0*c + 2*c + 1278 = 0. What is the greatest common divisor of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-8))\/(711\/(-6004))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f - 10. Let z be c(3). Suppose -7*o + z + 67 = 0. What is the remainder when 2\/(-1) - (-72)\/2 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196786089?\nAnswer: 79, 15149191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 - 9*m**2 - 9. Let l(i) = 1 - 6*i**3 + 7*i**3 + i**2 + 0*i**3. Give -9*l(h) - v(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 50, 4, 25, -1, 0 in increasing order.\nAnswer: -1, 0, 4, 6, 25, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 124914 (c) 1\/2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1083)\/3610*(-60)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/1535?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) -71 (c) 0 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -21 + -9 + 39 + 11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*k = 49. Let g be 3 - 46\/14 - (-14)\/49. Solve 0*y - 7*y + k = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = -27. Suppose 3*c - 5*b + 31 = 5*c, -4*b = 2*c - 30. What is the remainder when j is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p - 7 + 7 to the form m*p + i and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 6690*n - 10086273 = 0. What is n?\nAnswer: -3261, 1031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -1\/7, 5, 4935?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55224 - 55565.448. Let a = h + 310.4. Let s = a - -31. Round s to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = -10. Let x = 8 - y. Let d(f) = 4*f**3 - 2*f - 2. Let i(s) = -5 + 5*s**3 + 0*s + 4*s**3 - 5*s. Determine x*i(b) - 5*d(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/25 - (-48)\/10. Suppose 4*g - 9 = 2*n + 179, y*g = -n + 242. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:37 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 3a?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -44. Let w be 45\/(-3)*1\/x. Put w, -3, 2, 0 in ascending order.\nAnswer: w, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (2*sqrt(102) - sqrt(102)))*-6)\/((sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(2))*-5) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 20 = 0. Let w(g) = g**3 + 4*g**2. Let z be w(l). Suppose -3*s + 34 = 5*j, -9*s + 14*s - 20 = -j. Solve z = 2*r - r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234216 - -1748450. Suppose -4*k = y - 6200020, 5*k = y - v - 4685741. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - i - 12, -3*y = 3*i + 89 - 107. Solve 0 = 5*n - 4*z, -27 = -n - 4*z - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(36\/942) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-6\/5)*c)\/c*c)\/c*c*((c**22*c)\/c)\/c*c**26*c**(-26))**(-1\/15) assuming c is positive.\nAnswer: c**(-109\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -810 - -1464. Suppose s = 9*b - 1110. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006459598706 to 6 dps.\nAnswer: -0.00646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/66*(-24 + (-1)\/((-8)\/96))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17556, 17604, 17652, 17700, 17748?\nAnswer: 17796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 greater than -2846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**4 - 3*i**2 + 3*i - 20. Let f(k) = 26*k**4 + 8*k**2 - 8*k + 60. Let p(y) = -3*f(y) - 8*v(y). What is the derivative of p(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let f(t) = t. Suppose 3*i - 17 = 5*g, 2*i + i - 3*g - 15 = 0. Suppose -6*c = -4*c - 14. Give c*p(v) + i*f(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263061 (base 16) to base 11.\nAnswer: -145a3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11 + 11 + 9*h)*(1 + 0 + 0) + 2*h - 2*h + h)*(-6*h**2 + 2*h**2 + 3*h**2).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77078872 to the nearest integer?\nAnswer: 8779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 394638.7228 to the nearest ten.\nAnswer: 394640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*h + 5*u, -5*u + 0 + 5 = 0. Suppose -126*i = -291*i + 2640. What is the remainder when i is divided by (-4)\/3*30\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39555 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*u**2 + 725335*u + 34540.\nAnswer: -5*(u - 6908)*(21*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 0*c**5 + 0*c**2 + 25\/3*c**3 + 13\/7*c**7 + 0*c - 24 + 0*c**4 + 0*c**6. Find the third derivative of b(f) wrt f.\nAnswer: 1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4585, 9161, 13727, 18277, 22805, 27305?\n\"Answer: -k**3 + k**2 + 4580*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3530765 is divided by 84.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, e: 3, c: 3, o: 1, y: 1, w: 3}. What is prob of sequence heeo?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10\/13)*u**(23\/4) assuming u is positive.\nAnswer: u**(259\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*v - 145, 2*l + 82 = 12*v - 9*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15280, 30561, 45842, 61123, 76404?\n\"Answer: 15281*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11529*i**5*l - 202*i**2 - 5*l wrt i?\nAnswer: -691740*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 650, 1270, 1872, 2462, 3046, 3630, 4220, 4822?\n\"Answer: t**3 - 15*t**2 + 658*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.064, -1896?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/1770) + 3. Suppose s + 146 = t - 0*s, h = 4*t - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*q + 3, 0*i + 2*i + 4*q + 12 = 0. Suppose 0 = 2*k - 1 - 3. Suppose -6 = -k*r + i. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 450*f**5 + 4940*f**4 - 41118*f**3 + 81408*f**2 - 46712*f + 8160 = 0.\nAnswer: -17, 2\/5, 20\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -1\/3, 32, 0 in ascending order.\nAnswer: -1\/3, 0, 1\/7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 - 29*c + 1 + 5.\nAnswer: -29*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(228)\/(sqrt(40)\/sqrt(10)) - sqrt(57))\/sqrt(3) + (1*sqrt(76)*2)\/((sqrt(72)\/sqrt(2))\/sqrt(9)) + 2)**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445136.3m in centimeters?\nAnswer: 44513630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -45*b + 50*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 332929\/9 - 1154\/9*s + 1\/9*s**2.\nAnswer: (s - 577)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 17*t + 8. Let k be r(-18). Suppose -21 = -5*s - k. Is 13 a factor of (21 - -5)*(-2)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -2 - ((2 - -1) + (3 - 1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:08 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71913247127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9902*k + 17 - 8 - 8 + 8348*k + 2*k**2 to the form v*k + p + z*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103530021 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 3*u**5 + 0*u**5 + (-3 + 3 + 2*u**2)*(-2*u**3 - 2*u**2 + 2*u**2) + (4*u**2 - 494 + 494)*(0*u**3 + u**3 - 2*u**3).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.3. Sort a, -4, -3, 5 in decreasing order.\nAnswer: 5, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:00 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - 75*w + 14. Let s be u(10). Let b be s*((-68)\/(-48) - 1\/6). Is b at most as big as 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*w + 7*w + 12)*(-w**3 - 3 + 3).\nAnswer: -2*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 - 833*t\/3 + 70805\/2.\nAnswer: -(t - 119)*(t + 1785)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17593156.\nAnswer: 2, 7, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 193, 360, 575?\n\"Answer: 24*c**2 + 47*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -126037 (base 9) to base 15\nAnswer: -17a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 6)\/(-1 - -2). What is the units digit of -2 + v + (0 - 305)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**5*u**2 + 5626*t**3*u**2 - 24*t*u**2 - 9*t*u - 42*u**2 wrt t.\nAnswer: -60*t**3*u**2 + 33756*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.224 - 2.624. Which is the second biggest value? (a) 0.5 (b) -2\/123 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 0.1. Let x = -0.2 - -0.1. Which is the second biggest value? (a) u (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -567503 or -567504?\nAnswer: -567504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -24. Let q(z) = -z**3 - 5*z**2 - 2*z - 6. Let f be q(p). Let x = f + 16. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -244. What is the least common multiple of j and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 23276456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q - 23. Let z = -21 + 26. Is d(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.93 - 1.93. Let d = 31\/15 - 12\/5. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuud when four letters picked without replacement from uuuududdududdddduddu?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 159*x - 4455. Calculate n(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/260 + -3\/65. Which is smaller: u or -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + o)*(1 + 4 - 7) + 6*o + 9*o + 13*o + (4*o + 0*o - 6*o)*(2 - 3 + 3 + (2 - 5 + 1)*(1 - 1 + 1) - 10 - 1 + 2).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 3*u - 2. Let d = -125 + 122. What is g(d)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 7*t**2 - 7*t - 1. Let w(a) = -705*a**3 - 42*a**2 - 5831*a - 6. Let b(z) = 6*o(z) - w(z). What is the second derivative of b(i) wrt i?\nAnswer: 4194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 + 1129 = 5*o - 3*q, 1027 = 4*o - 3*q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbvbbbvxbbbvbbvbxvb. What is prob of sequence xbb?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 3. Suppose 5 = 3*d - 4, 4*d = -5*g - 8. Let y be f(g). Solve y*u = 3*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 - 80*a**3 - 1947*a**2\/4 - 1465*a\/2 - 326.\nAnswer: (a - 326)*(a + 1)**2*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11 = -3*q + q, -18 = -4*q - 2*o. Let d be (q\/(-6))\/((-4)\/72). Let w be (d\/5)\/(4\/10). Solve 4 = -b - w*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 691044 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8803 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 258\/(-430)*(-150)\/(-1260)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - -159. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -15875*g**6\/12 - g**4\/24 + g**3\/3 + 7*g**2. Let u be b(2). Round u to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/87483 and 10\/579?\nAnswer: 16884219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i**2 + 10*i - 9. Let f be w(7). Suppose 25*k - f = 21*k. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**2 + 12*w**2 + 7*w**2 - 61*w**2.\nAnswer: -57*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4339.70223 rounded to the nearest integer?\nAnswer: -4340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 a when four letters picked without replacement from {k: 7, b: 4, a: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2. Let h be (204\/(-16))\/(6*(-4)\/64). Suppose -33*l + h*l = 45. Let n(b) = 20*b - l*b + 13*b + 25*b. Calculate n(c(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 2, -654, -2\/9 in increasing order.\nAnswer: -654, -2\/9, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -830607.7 to the nearest 1000.\nAnswer: -831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -23429 - 5011. Calculate the greatest common divisor of b and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 145\/13 - 16\/104. Suppose -9*q - 4 = -h*q. Suppose 3*m + q*m - 168 = 4*g, -g - 33 = -m. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1096 divide 86497084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -2, -6, -3, -1 in descending order.\nAnswer: 10, 2, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*o**4 - 61*o**4 - 58*o**4)*(-1 - 2*o + 1 + (2 + 2 - 6)*(o + 2*o - 2*o))*(2 - 1 - 3) + (2*o - o**4 - 2*o)*(o - 2*o + 2*o) + 0*o - o**5 + 0*o.\nAnswer: -82*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x + 26. Let g(m) = -m. Determine w(g(o)).\nAnswer: -10*o + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 4032.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**3 + 6*t**3 + 11*t**3 + 1283*t**2 - 1281*t**2 to the form h*t**3 + i*t**2 + s*t + n and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 4.2698?\nAnswer: 8.5396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/3 + 28*u**2 - 56*u - 1760\/3.\nAnswer: 4*(u - 5)*(u + 4)*(u + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 146. Give g(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1\/8, 15, 0.2, 0, -35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*d - 328*d - 324*d + 1318*d - 369*d.\nAnswer: -61*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 equal to -830\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 120?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187*c**6 + 2*c**5 + 6*c**4 - 98*c**2 - 2*c - 41 wrt c?\nAnswer: -22440*c**3 + 120*c**2 + 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 3*b + 12, 0 = -h - 3*h - 2*b - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12865, -102821, -346979, -822439, -1606301?\nAnswer: -2775665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + y**3 + y**3 - 3*y**3 + 2*y**3 + 7 - 6*y**2. What are the prime factors of k(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a23 (base 14) in base 12?\nAnswer: -119b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -98*((-15)\/(-6) + -2)\/(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - c + 5*c = 164, -3*c = 5*n - 735. Calculate the highest common divisor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -7, -6\/13 in ascending order.\nAnswer: -7, -6\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-1)\/3*-3. Let b be 24\/c - (-2)\/(-3). Suppose -b*u + 3*p = -0*u - 30, 2*p - 45 = -3*u. Calculate the remainder when 43 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6483, 13140, 19801, 26466?\nAnswer: 33135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10501001 is divided by 79?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9579.094 and -0.5.\nAnswer: 4789.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*sqrt(17)*-2 + (-1*sqrt(17)*-2 - sqrt(17)) + 3 - 4*1*sqrt(833)*-2))**2.\nAnswer: -188*sqrt(17) + 37557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 532 - 2664\/5. Put 1, a, 5, 2\/7 in increasing order.\nAnswer: a, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 11 + (-18 - -22 - (-5 - -9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 12 = -3*s, -42*o = -41*o + 2*s - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -8, -3, -84, -96\/175 in descending order.\nAnswer: 0.3, -96\/175, -3, -8, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (152\/(-760))\/(2\/40). Let h(l) = l**3 + 6*l**2 - 1. Determine h(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, z: 2, e: 1, g: 1, w: 6, m: 2}. Give prob of sequence em.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -135713 (base 8) in base 16?\nAnswer: -bbcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + 1) - (-2 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + -3 - sqrt(7)) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27056 by 2.\nAnswer: -13528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/102)\/((710\/426)\/((-10)\/(-12))).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 169183.2 years?\nAnswer: 169.1832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 57*d + 519. What is q(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(147) + 4 - (((sqrt(6)\/sqrt(2))**2 - sqrt(3)) + -1).\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50690569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {e: 1, o: 1, n: 2, m: 2, c: 1, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1477 - -43)*(-4)\/6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0159 - 130.2841. Let h = r - 49.7. Are 0 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v = -12*v - 680 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 - -109. Let c(z) = 2683*z**3 - 7*z**2 - 4 - 2684*z**3 - 13*z + 5*z - s. What is c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6226, -12683, -19138, -25591, -32042?\n\"Answer: v**2 - 6460*v + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77 * 5.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747*l - 293*l - 458*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:21 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 11. Let j be m(10). Let a = -10 - -11. Let d(w) = 2*w**2 + 2*w - 1. Let k be d(a). Calculate the greatest common divisor of j and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 7*q = 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from mmmjmmmgmmmgmgmm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313.85 - -328. Let h = 0.15 - b. Let g = h + 13.999884. What is g rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 564 - 593 - (-52)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 184*n\/7 - 4232\/7.\nAnswer: -2*(n + 46)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 68829 - 2*d + 2*d - 68837 + 137666.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1079 + -1135 - (-3 - -32 - -2).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*l + 5*m, 4*m + 25 = 5*l - 2*l. Suppose -l*t = v - 5*t + 1, 0 = v - 5*t + 7. Suppose v*q - 28 = -q. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -18*g. Let r(s) be the third derivative of 3\/4*s**4 + 0*s**3 - 24*s**2 + 0*s - 7. Calculate r(h(p)).\nAnswer: -324*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34245 + -13?\nAnswer: 34232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2800\/(-19800)*22\/(-2)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624883 is divided by 2358.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose n = a - 0 - 2. Suppose -d = 4*z - 17, -a*z - 2*z = -4*d + 8. Solve z = 4*g - g + 3*s, 0 = -g + 2*s + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42417071415 - -159.6?\nAnswer: 42417071574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 484 + 931. Suppose 0 = -2*w - b + f - 27, 2082 = 3*w - 5*b. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/14*3780\/(-5040)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020111121120 (base 3) to base 11.\nAnswer: -743820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59076 - 59067. Suppose 0 = 2*g - 3*f + 9, -3*f + 12 - 3 = 5*g. Suppose g - 2 = -s. Is k >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.2 and -0.024?\nAnswer: -0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 4*g - 14, 2*c + 5 = -5*g. Let i = 14 + c. What are the prime factors of (i\/(-2))\/(3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-7))\/(m**(-4)*m)*m**2*m**(-1\/4)\/m*m)\/(m*m**(-2\/5)*m**0*m**(-8)*m*m*m*m*m**(-1\/6)*m) assuming m is positive.\nAnswer: m**(919\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5662.072 + -5740.07231. Let i = d - -78. Round i to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7))\/n**(-25) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + 2068\/396. Solve -3*a + 5*a + 16 = 2*b, -y*a - 10 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19227.0009999 - 19227. Round i to five decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/660*6)\/(-6 + (-56)\/(-10))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 + g + 3. Let b(w) = -4*w**3 + 2*w**2 + 3*w - 301. Calculate b(v) - 3*p(v).\nAnswer: -v**3 - v**2 - 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2191066485 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 7. Let s(z) = -143 - 175 - 176 + 493. What is -k(r) - 2*s(r)?\nAnswer: 2*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, c = 3*c - 2*q. Suppose -5*y - n + 120 = -19, 115 = 5*y - c*n. Suppose -20 = -5*g - m, 3*g + g - y = -3*m. Solve g*o = 7*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9804 + -9530. What is the remainder when 1097 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 75 = -1 + 31 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 6*s**2 + 4*s + 3. Let b be y(-5). Let z(m) = -m + 11. Let j be z(b). Differentiate -3*r**3 + 2 - 6*r - j + 6*r wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 9888 = -39*m. What are the prime factors of m?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580211 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142696728 and 3240?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -500897, -0.4, 34 in descending order.\nAnswer: 34, 3\/4, -0.4, -500897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2678 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g. Let m(s) = -55*s**2. Calculate u(m(k)).\nAnswer: 550*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 644\/(-805)*(-5)\/4. Let m(u) = -u - 1. Let g(s) = -7*s - 16. Give d*g(q) - 6*m(q).\nAnswer: -q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g - 4*g**3 - 38*g + 3*g**3 - 25*g in the form b*g**2 + z*g + y*g**3 + w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2996 and 86096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let t(j) = 3*j**2 + 9*j - 9. Let o(x) = 9*l(x) + t(x). Let a(u) = -15*u + 14. Let q be a(1). Give o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73430*t**3 + 113178*t wrt t?\nAnswer: 440580*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -110, -12, 236 in decreasing order.\nAnswer: 236, -4, -12, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*u + 435*u + 5*v - 80 = -432*u, 78 = 3*u + 5*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1573318 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14063 + 14245. What is the least common multiple of 39 and h?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/5 (c) 5 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1800)*-5 + sqrt(1800) - 2*sqrt(1800)*5)\/(-6*2*sqrt(160)*-6))**2.\nAnswer: 245\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2935383 - 7064617. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -36. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 282733.2021 + -282745. What is o rounded to one decimal place?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.133 times 0.9\nAnswer: 0.1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 450?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 - 9*n**3 + 48559 - 48563.\nAnswer: 5*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g + 2. Let k(v) = v + 2. Let d(z) = z + 1. Let o(t) = -2*d(t) + k(t). Calculate 3*o(b) - s(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let q(c) = -c + 5 - 3 - 3. Let l(o) = -7*b(o) + 3*q(o). Differentiate l(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - 677479 + 677721 - 6*z to o*z + a and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*s**4 + 7067*s**2 - 2*s + 136*s**3 + 324*s**3 - 7068*s**2 to the form z + k*s**2 + b*s + q*s**4 + a*s**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.059 - 48. Let c = 3674 - 3674.165. Let i = c + f. What is i rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -24 - (-1 - -1) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 475799 minus -17.9482?\nAnswer: 475816.9482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 89411*u + 447042. What is i(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (175 + -71 - (25 + -4))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let n be 9 + (4 + -1)\/b. Is n bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011100010010 (base 2) to base 16\nAnswer: -6712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 111?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2979896*j**3 + 1346536*j**3 - 223462*j**3.\nAnswer: 4102970*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548798 by -662.\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31642, -62899, -94142, -125365, -156562, -187727?\nAnswer: -218854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239 + 233. Let j(a) = -5*a - 2. Let v(k) be the second derivative of -k**3 - k**2 + k. What is x*v(o) + 7*j(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (66\/(-6) - -13) + -1 + 178699. What is a rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 74*w + 48. Calculate i(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x - 16. Suppose -5*m - 8 = -m. Let c = m - x. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 - -242. Suppose 4*i + i = j. Let d = -10 + i. Solve u = d*n, 2*u = -n + 2*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/53 - 2895\/212. Let a = 172 - 1549\/9. Find the common denominator of a and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {j: 7, q: 3, r: 1, u: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 598 divided by -1\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1501, -7230, -19091, -38974, -68769, -110366, -165655, -236526?\nAnswer: -324869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21065456 divided by 5266364?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46\/15 - 203\/120. Find the common denominator of l and -70\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**3 + 13 + 8*u**2 - 13 wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000149986 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-50) - (-34)\/5. Suppose 0 = 9*v - l - 20. Suppose q = -v*j + 32, -7 = 5*j - 4*q - 49. Solve 0 = -a + 2*t + j, -3*a + a - 4*t - 20 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 + -113. Suppose 0 = -p*l - 10*l + 30. Suppose 0 = -2*z - b + 37, 3*z + 2*b = 7*b + 49. Solve -5*w - l = -z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:41 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m + 15*m + 2*m**3 - 2*m**2 - 3*m**3 + 4*m**2. Let o(y) = -y**2. Calculate -g(a) - 4*o(a).\nAnswer: a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78370\/199 + -23529356\/6567. Suppose t - n - 7957 = -t, 0 = -5*t + 4*n + 19894. Let u = q + t. What is the common denominator of 101\/12 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 - 3446.\nAnswer: -3446.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7375 + 82.8475. Let p = 81 - y. What is the third smallest value in p, -4, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 16*x + 6. Let y(q) = 50*q + 1684. Let b be y(-34). What is k(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(6*-2)*(-1010)\/(-15) and 16\/60 - 1\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:23 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -48*o. Let i(y) = 2069603 + 10*y - 2069603. What is t(i(c))?\nAnswer: -480*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500174 is divided by 741.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4645, -9941, -18767, -31123, -47009, -66425, -89371?\n\"Answer: -1765*m**2 - m - 2879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 9*l + 123 = 0. Let m = l + -25. Differentiate m*g + 9*g**4 - 22 - 16*g with respect to g.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53340 and 60?\nAnswer: 53340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -0.01, -3\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -297*s**2. Let i(o) = -o + 103 + 110 + 103 - 316. Calculate h(i(l)).\nAnswer: -297*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 13*w - 35. Let q be p(-9). Let u be (1\/(-3) - 1)\/(72\/(-270)). Put u, -0.057, q in decreasing order.\nAnswer: u, q, -0.057","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564*k**2 - 431*k**2 - 134*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 + 252. Let w = 700 - p. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 times 551.357?\nAnswer: -150520.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 6. What is the units digit of 9\/1 - (u - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (10 - 14) - (-3 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 2:11 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 9. What is the remainder when (-6)\/(-9)*(-78)\/(-4) is divided by m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/(-1 + 0). Suppose 0 = -m*p - p + 5. Suppose -4*g + 63 = -3*w, p*g = -4*w + 24 + 16. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/27)\/n)\/(n*n*n**(-23)*n*n) assuming n is positive.\nAnswer: n**(484\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99)*1*6)**2 - (sqrt(88) + sqrt(88) + -1*(sqrt(88) - (sqrt(88)*2 - sqrt(88) - sqrt(88))))\/(sqrt(512) + sqrt(512)*2))*-6.\nAnswer: -192456 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(4 + (-1252)\/314). Let k = h - -2533\/8. What is the common denominator of -23\/14 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 5094402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52238 divided by -4?\nAnswer: -26119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3909.90251 to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30226278*p**2 - 29340694*p wrt p.\nAnswer: 60452556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 631170*r - 19918778445.\nAnswer: -5*(r - 63117)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaaxxxxxxxa. Give prob of picking 3 a.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)\/((-1)\/(-18)). Let d be (9\/w)\/(2\/72). Let t(c) = 2*c + 44. Let i be t(d). What is the highest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 146609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2 - 13*q - 13. Let o(x) = 14*x**2 + 38*x + 38. Let t(n) = -4*o(n) - 11*z(n). Give t(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2776 or -2791?\nAnswer: -2791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.037, 3, -12, 0, -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 40. Suppose -i*z - 2*r - 16 = 0, 3*z + 15 = -r - 2*r. Is 753*(-3)\/z*2\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34253140 (base 8) in base 6?\nAnswer: 423111224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19089.9 in -2, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -2)\/(-20) - 4\/5. Let s be 4 + 136\/36*w. Which is the fourth smallest value? (a) s (b) 0.3 (c) 2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*(1 + 0). Let w be (-2 + 2)\/k + -2. What is the common denominator of 26\/(-32) + 4 + w and -39\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 + 3*f**3 - 18*f**2 + 2276*f. Calculate o(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 3428?\nAnswer: 58276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Let d(n) = 137*n - 1 - 125*n + 1. What is r(d(u))?\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*z + 62*z - 6811700. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 12\/(-22) + 988\/1045. Solve g + 16*s = 15*s - 4, 3*g - 5*s + 12 = q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtew when four letters picked without replacement from {e: 7, t: 2, w: 4, x: 2, d: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxlxhhlphldlldhlh. Give prob of sequence ld.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -42466?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let h be r*(-4)\/(-3) - 1. Let t = -3599 + 3599. Sort -1, h, t, 2 in increasing order.\nAnswer: -1, t, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16568785201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2592 divided by 144?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -597 (base 10) to base 11.\nAnswer: -4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 150425562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -708305\/21 - -33744. Let k = p - 43\/3. Is k equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 12*o**2 - 30)*(o + 0*o + o)*(3*o - 1 + 1).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 31 = -4*v - v, 4*v - 4*u = 20. Suppose 3*s - v = 34. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - ((-2)\/4)\/((-1)\/(-2)). Is g at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 17*a - 4. Let l(q) = q**2 + 9*q - 2. Let d(f) = -7*l(f) + 4*z(f). Calculate the remainder when 9 is divided by d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5)*-5 + sqrt(13) - (3 + (sqrt(78)\/sqrt(6))**2))*-3 + (5*(5 + 3 + (sqrt(208) - (-1 + sqrt(208)) - sqrt(208))))**2.\nAnswer: -1788*sqrt(13) + 7273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/90 - v**4\/18 - 9*v**2. Factor g(k).\nAnswer: 4*k*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40128 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.2, 347, 2, -3347, -4 in increasing order.\nAnswer: -3347, -4, -1\/4, -0.2, 2, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**4 - 248*o**3 + 447*o**2 + 684*o. Let r(h) = 8*h**4 - 500*h**3 + 895*h**2 + 1368*h. Let m(d) = 7*k(d) - 3*r(d). Suppose m(y) = 0. Calculate y.\nAnswer: -1, 0, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07465 + -57.72265. Let h = 58 + g. Let m = h - 0.052. What is the biggest value in m, 0.4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 13359085\nAnswer: -12023176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1212 + 1512. Solve -v*x = -304*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*g**2 - 1015*g**3 - 36*g**2 + 15*g**5 + 2*g**4 + 1015*g**3 wrt g?\nAnswer: 900*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-16)*(-500)\/875.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/11987095 and 36\/3167?\nAnswer: 11987095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/(-4) - (-3)\/2. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 6, q: 1, j: 3, e: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/7))\/d**(-9))\/(d\/d**0*d)**(-2\/19)*(((d**(-4)*d)\/d)**40)**16 assuming d is positive.\nAnswer: d**(-339065\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3 and 49\/60664.\nAnswer: 181992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1688 + 1698. Solve -19 - c = 3*a - 5*y, -a + 5*y - 23 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 - -1.7. Let t = 244 + -145. Let s = t - 96. Which is the nearest to -2? (a) s (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 4*m + 5. Let u(i) be the first derivative of -2*i**3\/3 - 5*i**2\/2 + 6*i - 27. What is -6*b(x) + 5*u(x)?\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31349 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a - 3, 3*s = -4*a - 4925. Let l be (-48)\/64 + s\/(-4). Suppose 36*g = 34*g + l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose c = -l - 0*l + 5. Let f(v) = -7*v + 4. Let a(p) = -8*p + 5. Determine l*a(y) - 6*f(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 552334, 1104668, 1657000, 2209330, 2761658, 3313984?\n\"Answer: -s**2 + 552337*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*v**2 - 442*v**2 - 441*v**2 - 437*v**2 + 1779*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -50.53 * 0.3\nAnswer: -15.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**2. Let x(v) = 2*v**2 + 16. Calculate x(i(m)).\nAnswer: 98*m**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -3\/4, -11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 27. Suppose -m*h - 5*z = 2, -6*h - 3*z = -h - 4. Which is bigger: h or 5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14cd1a + 4?\nAnswer: -14cd16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/4 - 24\/(-32). Let l = 8 - 6. Let q = -1 + l. Solve b - 1 - q = j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 - 33 = -4*w, -3*w + 5 = 5*d. Solve 5*t + 6 = 5*y + 16, -w*t + y = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167\/70 - -339\/140. Let z(k) be the second derivative of -1\/7*k**3 - u*k**4 + 12\/7*k**2 + 0 + 34*k. Factor z(t).\nAnswer: -3*(t - 2)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 2*f = -105. Let z be ((-317)\/f + (-10)\/(-75))\/(-1). Solve -z = w - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b**3 + b**2 + b. Let g = -18 + 17. Let y be n(g). Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 10. Let r = 12 - t. Calculate the greatest common divisor of 10 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-7) + 8\/2. Let u = 6 - 5.6. Let m = -0.7 + u. Which is the nearest to f? (a) 0.5 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from {n: 6, q: 3, c: 3, t: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(0 + -2) - (-7 + -29 + 29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a78 - 5?\nAnswer: a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 281531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2 + (4 - 0) + 10 + -15\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffnnff. Give prob of sequence nn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*j*v - 19*c**3*v - 2*c**2*j*v + 3*c**2 - 30*j*v wrt c.\nAnswer: 12*j*v - 114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**5)\/p)**(2\/23)\/(p**13*p**(3\/10)))**(-1\/3) assuming p is positive.\nAnswer: p**(1053\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(75) + -4))**2.\nAnswer: -1000*sqrt(3) + 2275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/7 - 2\/7*q**2 + 34\/7*q.\nAnswer: -2*(q - 16)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10819618?\nAnswer: 2, 941, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16683 and 1492?\nAnswer: 24891036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078 divided by 22.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285\/(-171) - 11\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3574*o + 3560*o + 3555*o - 15234*o + 4569*o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -265.963*-0.1\nAnswer: 26.5963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 300?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + 13280\/70. Let y = n + 463. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from jjjzjjjjjzjjzzzjjjj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 + 53*p - 4. Let j(k) = -1 - k - 130505*k**2 + 130504*k**2 + k. What is -f(w) + 4*j(w)?\nAnswer: 2*w**2 - 53*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28555, 28610, 28663, 28714, 28763, 28810?\n\"Answer: -r**2 + 58*r + 28498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (1 + 1 + -21). Suppose -w + 4*w - x = 0. Suppose 0 = -3*f - 2 - w. Is -1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*i - 110*i = -61*i - 502 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -611*a**3 - 456*a wrt a.\nAnswer: -3666*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 2270211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*q**2 + 215*o**2 + 355*q**2 - q wrt q.\nAnswer: 4*o**2 + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 2 (c) 9 (d) -29877 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 160, 237, 312?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-1\/3)*u**(-12)\/u*u assuming u is positive.\nAnswer: u**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -0*w + 2*d + 10, -w - 5 = 3*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -22. Let h = -12 + f. Which is the second biggest value? (a) -3 (b) h (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/121*(-1)\/((-64)\/88).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171516038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.21 + 0.01. Let s = 1.6 + p. Sort 0.3, s, 4\/3 in increasing order.\nAnswer: 0.3, s, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126454 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 4. Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddiddiddddd. Give prob of sequence iid.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 200 and -17?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.002 * -7\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 10 + 4454*y + 19)*(y**4 - 3*y**4 + 3*y**4).\nAnswer: 4454*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/7))\/u**0 assuming u is positive.\nAnswer: u**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(304) + 5 - sqrt(19)*-2*5)**2*-6.\nAnswer: -25800 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*r**6 - 1014487*r**5 - 2483*r**2 + 30545*r + 1 wrt r.\nAnswer: -29520*r**3 - 60869220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5\/9))\/f)\/f**(2\/29) assuming f is positive.\nAnswer: f**(-163\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*x - 18 = 22, 5*i - 5 = 5*x for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/31 and 33\/41.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37012550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2020 - -2027.839. Let t = 1.069 - b. What is t rounded to 1 dp?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((230\/320)\/23)\/(2\/4)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116539?\nAnswer: 116539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32554c (base 14) to base 9.\nAnswer: -3177824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 530632*d**3*g**3 + 16*d**2*g**2 + 160*d*g**3 - 6*g**3 wrt d?\nAnswer: 3183792*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u + 4. Let q(r) = -r**2 - 1. Let t(l) = -4*q(l) - x(l). Let m be t(1). Factor -6\/5*z**m + 8\/5*z**5 + 0 + 0*z**2 + 0*z - 2\/5*z**3.\nAnswer: 2*z**3*(z - 1)*(4*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18598, 1, -1006, -7 in increasing order.\nAnswer: -1006, -7, 1, 18598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3174617*f**3*p + 9*f**2*p - 10914404*p - 2 wrt f.\nAnswer: 9523851*f**2*p + 18*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - (-186 - -131)) + (4 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1128 + -673.8872. Let d = -707 - x. What is the biggest value in 2, 0, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2137212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/6 + 2*q**3\/3 - 19*q**2\/6 + 7*q\/3.\nAnswer: q*(q - 2)*(q - 1)*(q + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 4, f: 3}. What is prob of sequence oc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 57 = 5*u + 2*x, 9 + 1 = 5*u + x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 49*m - 55*m + 50 = -m, 4*s = 4*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406362 divided by 1551.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16 - -13)*(0 + -31).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97414 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4478 and 97\/7316?\nAnswer: 16380524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100201.1987 + 100206. Let y = c + -4.8. Round y to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -46, -35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3*w**(-3)\/w)\/(w*w**(-2\/3)*w\/((w**(3\/7)\/w)\/w*w)) assuming w is positive.\nAnswer: w**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 69*v + 1. Let g be o(-3). Let l = 143 + g. What is the units digit of ((-16)\/6)\/(6\/l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11213 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 0.3 (b) -24.2 (c) 4 (d) 1\/3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07642143 and -75737?\nAnswer: 75736.92357857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/15 - 358*z**2\/15 + 24*z.\nAnswer: -2*z*(z - 1)*(z + 180)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:53 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469303, -469320, -469337, -469354, -469371, -469388?\nAnswer: -469405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 5*m**2 + 11*m - 3*m as d*m + k + p*m**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*o + 15, o - 3 = -0*o - 4*g. Factor m**4 - 13 + 13 + m - m**2 - m**o.\nAnswer: m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - u - 40 = 0, 8*n - 4*u - 25 = 3*n. Let i(v) = n - 4*v + 6*v + 2*v + 1 - 2*v**2. Does 7 divide i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 139768.\nAnswer: 2096520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:52 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -59 and 0.215 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136)*2 - sqrt(136)) + sqrt(136))\/(-1*sqrt(32)\/sqrt(4) - sqrt(8)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 6 = -w - 14, 4*a - 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-14))\/((-2)\/49*(135 + -107))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -38 - (-4 + 19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1249766213 rounded to 3 decimal places?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 1. What is the lowest common multiple of k(-1) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 - 2*j. Give s(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 52 = -8*w. Let t = 117 + -52. Calculate the greatest common divisor of t and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -8*v + 0*v**5 + 1\/5*v**6 + 0 + v**3 + 0*v**4 + 0*v**2. Find the second derivative of y(w) wrt w.\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12396453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1921 and 3145.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -95.8, -1\/4, 13 in decreasing order.\nAnswer: 13, -1\/4, -4, -95.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*i - 44888, -415*i + 33666 = 3*w - 410*i. Calculate the highest common divisor of w and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/408524 and 65\/52152.\nAnswer: 2451144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -218? (a) -12\/13 (b) -25 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 5:25 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 227875208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29297913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-2)\/4). Let h be (k - (-2 + 2))\/(-1). Suppose -3*z + 23 = 2*p, -2*z + h = -z. What is the least common multiple of p and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/(-335))\/(302\/7852).\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*b = 21, -5*j = -3*b + 8*b - 30. Suppose 5*t - j*g - 57 = 50, -2*g + 30 = 2*t. Calculate the greatest common factor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 2*h + 20, 3*s + 26 = -95044*h + 95042*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -620, -931, -1242, -1553?\nAnswer: -1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1660, -3290, -4918, -6544, -8168, -9790, -11410?\n\"Answer: j**2 - 1633*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18b7b - -5?\nAnswer: 18b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*115\/(77280\/64)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255312.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3\/4 + 6*z**2 + 39*z\/4 + 9\/2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3192943 = 62*d - 208935. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -25*r - 96. Suppose 5*z - s = -52, 4*z = -0*s - 4*s - 32. What is the hundreds digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 33.368?\nAnswer: -166.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4297 + -38669\/9. Determine o, given that p + 2\/9*o**3 - 2\/9*o - 4\/9*o**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 226675.\nAnswer: 24480900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -22*d**2 - 4*d. Let p(x) = x. Let r = 2817 + -2821. What is r*p(i) - l(i)?\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (1 + 1)) + 6. Let i(c) = -c**3 + 4*c**2 + 5. Let r be i(4). Is d < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -31\/4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 - 5*y + 4. Let f be d(2). Suppose 10 = -0*z + 5*z. Calculate the smallest common multiple of z and (161\/49 - -2) + (-4)\/f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/240)\/((495\/(-6600))\/((-3)\/24)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13319\/4004 - 19\/286. Calculate the common denominator of 83\/10 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-38)*y**(-19\/5) assuming y is positive.\nAnswer: y**(-209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1360 + 10*q - 342*q**2 - 10*q - 1360.\nAnswer: -342*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17)\/m*m\/(m\/((m*m**(-13)\/m*m)\/m)))\/(m**(-3\/2)\/m**(1\/2)) assuming m is positive.\nAnswer: m**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157700350.\nAnswer: 2, 5, 41, 43, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*q + 143 + 25. Let g(j) = 35*j + 133. Calculate g(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91068 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 - (-2 - -2)) + -1. Suppose 3*p = -2*p + r. What is the second derivative of -2*b**p + 2*b + 3*b + 5*b**3 - 9*b wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 122261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113824, 227647, 341470, 455293, 569116?\nAnswer: 682939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126404045 - -3?\nAnswer: 126404051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/14)*g\/(g\/(g\/(g\/(g**(-13)\/g)*g))*g*g))\/(g**(-1\/7))**(-34) assuming g is positive.\nAnswer: g**(-289\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - (-20)\/(-18). Let j = -8 + 9. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + k + 558, 11*k - 170 = -w + 14*k. What is the remainder when w is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4075994 is divided by 3172.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -7401 + 7478 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -2 (c) -0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -238927923?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 - 34*h**3 - 36*h**2 = 0. Calculate h.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.016294 and 0.1.\nAnswer: 0.116294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 18017*p + 72036. Give x(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -15 - (-3 - (5 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2103*x**2 - 7*x. Let n(o) = 6310*o**2 - 24*o. Determine 3*n(t) - 10*u(t).\nAnswer: -2100*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 69593.934 to the nearest 10.\nAnswer: 69590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + (-4)\/18. Let i = -0.009 - 21.991. Let v = i + 23. Which is the biggest value? (a) v (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1320, -2779, -4298, -5883, -7540, -9275, -11094, -13003?\nAnswer: -15008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43444 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 3. Let g(u) = -12*u - 34. Let p(m) = -6*g(m) - 68*y(m). Let c(t) be the third derivative of -t**5\/30 - 72*t**2. Determine c(p(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 45*t**2 - 76*t - 4811. Calculate x(0).\nAnswer: -4811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 68*q**2 + 194*q + 4. Give f(65).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2394 and 3591?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2*r - 1. Let c be y(-1). Let b = -117 - -116. Put 3, c, b in decreasing order.\nAnswer: 3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(110) + (-2*-2*sqrt(110) + sqrt(110) - sqrt(110)))\/(sqrt(40)*-3).\nAnswer: -5 - 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 - 5*h - 4. Let i(k) = -21*k**2. Give x(i(j)).\nAnswer: 441*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*v - 75, 0 = 3*h - 4*v + v - 18. Let c be (1 + -2)\/(3\/(-297)). What is the greatest common divisor of c and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - 21 - (-205 - -162 - -31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n = 113*n + 2432 + 4588 + 3840 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - -4*((sqrt(77) - 2*sqrt(77)) + sqrt(77) + sqrt(77))) - 6*sqrt(77)*1)\/(-2*sqrt(11)*-3 + (sqrt(132)\/sqrt(6))\/sqrt(2)).\nAnswer: -10*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10153 and 121?\nAnswer: 111683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k. Let b(j) = 19*j**3. Let q(h) = b(h) + 3*r(h). Let z be q(-2). Round z to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, 8192\/7, 5\/4, 3, 31?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24403 = -5*b - 738. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 1.4, 0.2, 13.37?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f**3 - 22*f**2 + 8874*f + 17738. What is q(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -4, -1\/9, 1.\nAnswer: -4, -1\/9, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 77536680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 4. Let i be k(-3). Suppose 3*s + i = -26. Let r = s - -13. Solve p - 30 = -4*p - 2*w, r*p + 5*w = 41 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(4\/20)\/(15\/(-25)). Sort j, -1\/15, -8\/7.\nAnswer: -8\/7, -1\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55274 or -55190?\nAnswer: -55274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.6. Suppose r - 3*s = 9, -5*r + 26 - 9 = -s. Let x be (2\/(-4))\/(r\/(-6)). What is the closest to x in -5, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 235 = -5*t - 288, 3*t + 2*b = 41 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 73 (b) 3\/7 (c) -0.06 (d) 8 (e) -3\/5 (f) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -10. Let t = 9 - n. Calculate the least common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2469 - 56783\/23. Find y, given that -x*y**2 + 4\/23 - 2\/23*y + 2\/23*y**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111485 is divided by 116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - (-2 + (-4 - -24) + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73677 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -15096 and 4\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29745719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**4 + 2*n**3 - 2*n**2 + 17*n + 2. Let p(b) = b**4 + b**3 - b**2 + b + 1. Let w(s) = -i(s) + 2*p(s). Find the second derivative of w(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12222111 - -12221120110?\nAnswer: 20011112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.87 - -0.13. Let u be (-5)\/(-2)*5\/20*8. Suppose 2*o - u*o - 31 = -5*i, -i + 15 = -5*o. What is the smallest value in -0.5, y, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 499 and 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cus when three letters picked without replacement from aaqaucctqqsaqqqc?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23503 - 23500. Sort 17, 39, o, -4.\nAnswer: -4, o, 17, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(5\/(-285)). What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:03 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1043 - -1515. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1125 and 50805.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 3 (c) 0.3 (d) -9\/10 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -176?\nAnswer: 13\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-f + f + f) + 185*f - 83*f + 61 - 95*f.\nAnswer: 8*f + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36293199 to the nearest integer?\nAnswer: 6024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**5\/140 + 13*f**4\/84 - 153*f + 138. Let c(g) be the first derivative of a(g). Factor c(u).\nAnswer: -u**2*(u - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 249, 5, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.54 (b) 72 (c) -8\/7 (d) -0.5 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2)\/((-3)\/6). Suppose c*y - 22 = 4*y. Let n(s) = s**2 + 11*s + 11. What is the remainder when 32 is divided by n(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.66 and -7871?\nAnswer: 209840.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137328809 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:51 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = 4*z, -2*p = -z - 2 + 1. Let y = z - -4. Suppose 4*r = -4*w + 20, -w = -y*r - 0*r + 25. Let o(t) = -t**3 + 5*t**2 - 6. Determine o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928962.\nAnswer: 2, 3, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuoo when four letters picked without replacement from {o: 2, s: 1, u: 4, y: 2, i: 2, g: 1}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6 + 572\/(-66) + 10. Solve -3*g = -5*t - 8*g - 10, 0 = 3*t - o*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104133, 208265, 312397?\nAnswer: 416529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/3 - 3) + 8500\/102. Calculate the greatest common factor of b and 360.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -10, 583, -2\/89?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -360*k**3*n + 407751*k**3*r + 2*k**2*r - k*r - 1442*n*r wrt n.\nAnswer: -360*k**3 - 1442*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cc4 + -b?\nAnswer: -1cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194\/(-1843)*494*54\/39.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-80)*(-145)\/(-928)*-24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/1410*(-670)\/402.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h + 121 = -4*h - 143. Let y(t) be the third derivative of -8\/15*t**3 + 7*t**2 - 1\/75*t**5 + 0*t + 0 + 2\/15*t**h. Factor y(c).\nAnswer: -4*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -576 divided by 16\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1441282 and -77.\nAnswer: 110978714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 39790665. Let z(u) = 3*u**2. Determine w(z(j)).\nAnswer: 9*j**2 + 39790665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - -24 - (16 - 1))) + 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24079335.\nAnswer: 3, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:36 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69536259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*m*s**2 + 161*c*m*s - 4*c*s*u - 239*m*s**2*u - 3*s**2*u wrt s.\nAnswer: -4*c*m - 478*m*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o**2 - 5*o + 2. Is 14 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11536 - 57672\/5. Solve 6\/5*g + m*g**2 - 2\/5 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - 240*g**2 - 3814*g + 306. What is l(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*z = 3902, 5*i - 7233 = 3*z + 2512. Calculate the remainder when i is divided by 389.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10531.6 millilitres to litres.\nAnswer: 10.5316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 45, 59, 71, 81?\n\"Answer: -f**2 + 19*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18489 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 21.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536369?\nAnswer: 59, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, i: 1, g: 1, m: 8, d: 3, n: 2}. Give prob of sequence gn.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, r: 9, f: 6}. Give prob of picking 2 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, m: 2, w: 4}. Give prob of sequence wmwm.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/(-282)*((-8)\/2)\/44.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207128811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.117 + 0.117. Let d = -61 - n. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 37*w + 172. Calculate h(32).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.18 (c) 1\/1037 (d) -3 (e) 3 (f) -0.056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24 + 14 + 4 - 2498\/(-360) and 187\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3321313 + -12?\nAnswer: -3321331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 3410?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2126498105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 - -136682995\nAnswer: 136682993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*d - 170*d = -s + 14, -41*d - 2*s = -42*d - 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23.584*3.5\nAnswer: -82.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -468 and -169.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 49*w - 236 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 134, 180, 206, 206, 174, 104?\n\"Answer: -l**3 - l**2 + 70*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3437*0.00619\nAnswer: -21.27503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1427, -1425, -1425, -1427, -1431?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 33. Give w(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 182. Let a(t) = l*t - t + 1655 - 1665. Give a(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117098823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjl. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -14, 0.03, 1\/10, -0.4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -17, -11 in descending order.\nAnswer: 17, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2831684 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/4 - 11*c**2\/2 + 10*c + 1. Let m(u) be the first derivative of j(u). Differentiate m(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55260 + -55254. Let p be (-9)\/(-4) + 2\/(-8). Sort h, 10, p in descending order.\nAnswer: 10, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388772 and 1494?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5998287 rounded to 3 decimal places?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381921 and 1281.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024202 - -2.331445.\nAnswer: 2.355647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1364.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 12*p + 12 = 2*d, -p + 30 = 5*d. Solve -19*y + 64*y + 135 = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1238.394 months to millennia.\nAnswer: 0.1031995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 9 = -o, -3*o = -4*a - 6*o + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 46407375*j**3 - 107682060293535*j**2 + 753776696017835*j.\nAnswer: -5*j*(j - 7)*(j + 4640741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55670994 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/1 - -3. Let g = 7 - -1. Suppose -3*s = -2*j + d*j, -g = -3*j - s. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*s + 44*s + 1628 = -101*s - 195*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(88) - sqrt(88)*1))\/(sqrt(8) + (sqrt(24)*-2)\/sqrt(3)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293398469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -1\/4 (c) 3\/7 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.295594 millennia in centuries?\nAnswer: 22.95594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5179.994 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Suppose 4*j + 20 = -2*v, 3*v = -2*v + c*j + 15. Is 65\/(v - -1) - 4 - -3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-1)\/4)\/((-27)\/((-11664)\/18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-28))\/(3\/21). Suppose -4 = -m + 3. Is m at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 415?\nAnswer: 40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 0 + 15 + 16\/(-4) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/84*9)\/(78\/728)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 - 48. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 1, m: 1, j: 2, h: 1, r: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-162)\/336)\/((-1)\/(-4)) and 73\/164.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44276746 - -31.\nAnswer: 44276777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrx when four letters picked without replacement from {r: 2, x: 9, c: 1, h: 1}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 868476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 6 (c) 2\/15 (d) 243456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-111 + (-65 - -251))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4662760*j**2 - 131194*j + 13?\nAnswer: 9325520","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -4 + (6 - 4). Sort 5, l, -57 in ascending order.\nAnswer: -57, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -546777 + 771577. What is c rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 372*m**2 - 340*m**2 - 470*m**2. Let g(u) = -8*u**2 - 3. Let o(c) = -22*c**2 - 8. Let t(l) = 8*g(l) - 3*o(l). Give j(t(i)).\nAnswer: -1752*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 + 111 = -7*y. Let d = y - -48. Find the second derivative of -j**2 + d*j**4 + j**4 + 13*j + j**2 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2008541535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -466 + 681. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 + s**4\/3 + s**3\/3 + 3*s**2. Let q(t) = 18*t**2 - t. Calculate the remainder when q(1) is divided by m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 + -6 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n + 2. What is w(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 633724 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 4, 5, 0.1, -3, -174830, -5?\nAnswer: -174830","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1300*r**6 - 6454*r**4 + 9479248*r**2 - 2?\nAnswer: 156000*r**3 - 154896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 213*m - 217*m. Suppose -m*i - 10 = -136. What is the highest common divisor of 56 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19337 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1329 - 79*c - 1362 - 142*c to the form d*c + w and give d.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -112*d + 787. Let z be m(7). Solve -z*s + 4*s - 2*b + 7 = 0, 5*s - 7 = -4*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 - 0.59. What is the closest to -2\/9 in -0.3, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, 108, 1376, 4104, 8778?\nAnswer: 15884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 5*q + 4. Let u be l(3). Suppose -5*n + u = -8. Factor i + i**n + 2*i**3 - 4*i.\nAnswer: 3*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 23 - 7 = 0. Let a be k\/(-5)*(4 + -9). Let b be (-4)\/(-3 - 1)*a. Solve -b = w + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*k**3 - 144*k**3 - 24*k**2 - 25*k**6 wrt k?\nAnswer: -3000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (3 - 0) - (-1292 - -1272).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -666, -1302, -1940, -2580, -3222?\n\"Answer: -q**2 - 633*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 28*m**2 - 28*m + 29. Let o be l(27). Solve -o*x = k, -x = -3*k - 0*k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*145\/(37845\/(-58))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/5853 and 83\/59736.\nAnswer: 116544936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 675.79192 and -0.1.\nAnswer: 675.69192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*q - 88 = 0, -5*t - 3*q - 127 = -54. Let p(w) = -w**3 - 18*w**2 - 18*w - 19. Determine p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-857 + 0 + 1)*2\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -446*-2*1\/4. Let g = q + -96. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -857476*g**2 + 23892652*g - 166435801.\nAnswer: -(926*g - 12901)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -7 + (-20)\/(-4). Suppose 0 = w + 4*b - 28, u*b = b + 3. Let f(c) = 31*c**3 + 1. Let h be f(1). Calculate the highest common factor of h and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + 4*h - 0*h, -n + 8 = 4*h. Let k(q) = 29*q - 4. Let d be k(n). Let i = d + -78. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175\/4*u + 5\/4*u**4 - 55\/4*u**3 + 115\/4*u**2 + 0.\nAnswer: 5*u*(u - 7)*(u - 5)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 33*o + 110. What is the remainder when 2924 is divided by q(19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5755 - 2793. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1347, 5435, 12249, 21789, 34055, 49047, 66765?\n\"Answer: 1363*y**2 - y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371144 and 234260.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0 - -2) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2039? (a) 20 (b) -5 (c) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-16)\/2*4\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + (-1 + -3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -250?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37890, -159017, -360896, -643527, -1006910, -1451045, -1975932?\n\"Answer: -40376*k**2 + k + 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-132)\/(-176))\/(4*(273\/(-48) + 6)). Find q, given that 0 - 3\/5*q - x*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-36)*219\/1022. What is the nearest to -4 in u, 0.15, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010829*m + 25550 = -1011194*m for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 5*b + 1. Let j(k) = -k**2 - 8*k - 10. Let n be j(-7). Let u = -7 - n. Let o be h(u). Solve o*i + 6 = z + 1, 3*i - 20 = -4*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2) + -1 + 1. Factor -n + 1 - 1 - 6*n**2 - n**b + 8*n**2.\nAnswer: -n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1221.28 and 0.4.\nAnswer: 1221.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421674 (base 8) in base 15?\nAnswer: 13486c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((21 + 3 - 3) + -8 - -18)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (264\/36)\/(5\/((-390)\/(-4))) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.02, 2\/17, -2\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -13. What is the common denominator of (2815\/575 + -5)\/(3\/20) and (-92)\/k + 1 + 0?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7370581 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 - -11. Let m = b - -166.99942. What is m rounded to five dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 111. Let n = -326 - -326. Put n, 3, -4, l in decreasing order.\nAnswer: 3, n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19532 + 19535. Let b(v) = v**3 - 8*v**2 + v - 11. Let d be b(8). Sort d, -36, h, -2 in descending order.\nAnswer: h, -2, d, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1050430 (c) -0.03 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9225*k**4 - 2679*k**2 + 22791713*k + 3 wrt k.\nAnswer: -110700*k**2 - 5358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7 + 3336\/(-448))*12 and 25\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2146417 and 3066310?\nAnswer: 21464170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-1\/16) assuming v is positive.\nAnswer: v**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a + 101*a - 3 = -x, 2*x + 12 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 1 (c) -0.3 (d) -2\/5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 37158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - -249. What are the prime factors of 2\/(-4) + v\/2?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - p**3 + 2*p**4 + (p - p + 2*p**2)*(-3*p**2 + 3*p**2 - 2*p**2) + (0*p**4 + 3*p**4 - 4*p**4)*((1 + 8 + 12)*(1 + 4 - 3) - 8 + 11 - 9).\nAnswer: -38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 + 1\/(-1). Let h(i) = -i**3 + 25*i**2 - 5*i + 129. Let q be h(25). Suppose 5*d = -4*t - 2, 2*t + 2*t + 6 = -3*d. Put q, j, d in decreasing order.\nAnswer: q, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 12. Let v(b) = 2*b**2 + 11*b - 6. Let q be v(-11). Suppose -17 - q = -p*k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -19*q - 12 + 55*q - 17*q - 20*q. Suppose 4*b = -3*y - 24, -2*y = -2*b + 30 - 0. Let d be h(y). Is d >= 4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441109 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45858 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 0*n - 2*c - 21, 3*n - 12 = -5*c - 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 + 183. Suppose -2*f + 24 = -2*m, 3*m = 2*f + 3*f - 50. Calculate the lowest common multiple of c and f.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*j = 8 - 4, -b = 4*j - 4. What is the closest to -0.3 in b, 4, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6676 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 35 + 82 = 0. What is the least common multiple of j and (-1)\/((4 - 2)\/(-8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4537724.293 to the nearest one hundred.\nAnswer: -4537700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m - 2*x + 5, -5*m = -5*x. Let f be (7\/m)\/(7\/14). Suppose 3*t + 528 = f*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -5)*(-1 - (-24)\/10). Let k = j - -2. What is the remainder when 10 is divided by -7 + k - -5*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 13, d: 1, r: 5}. What is prob of picking 1 d and 1 l?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22400 and 6052480?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22388 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 5*x**2 + 3*x + 6. Let h be y(-6). Let f be (2 - 22\/4)\/((-8)\/h). Let d = f - -45. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15593 is divided by 3110.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 278142611 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -2 - (152 - 92) - -23?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/13 - 12*g**4\/13 - 1512*g**3\/13 - 13328*g**2\/13.\nAnswer: 2*g**2*(g - 34)*(g + 14)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (55\/(-20))\/(3\/(-12)). Let f be (-1 + y)\/2*(-5 + 6). Suppose -f*n - 14 = -5*d - 109, -5*n - 2*d = -116. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12404352 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259 - 259 - 10*n)*(0*n**2 + 6*n**2 - 2*n**2) + (3 + 4 - 13)*(-n + n - n**3).\nAnswer: -34*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -12. Let v = 7 + 8. Let d = z + v. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2*j - 2*j)*(-2*j + 6*j - 2*j)*(-1 + 1 - j)*(-4 + 13 - 2).\nAnswer: 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**8\/48 + s**4\/4 + 11*s**2\/2 + 6. Let a(p) be the second derivative of k(p). Find the second derivative of a(b) wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s + 56 = -196 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*q + 31*y - 34*y, 2*y + 2 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 56766.\nAnswer: 1135320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6627528*j + 112. Let u be n(4). Round u to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 437, 719, 1071, 1517, 2081, 2787?\nAnswer: 3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -63?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46423 (base 7) in base 16?\nAnswer: 2e63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axairxarardaraaaiurx. Give prob of sequence xau.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-155)\/15)*((-150)\/(-15) - 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7287 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + v - 1. Let o be m(1). Suppose 3*h = -2*h - 5*a - 20, -5*a - 21 = 4*h. Sort 5, h, o.\nAnswer: h, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*c - 1 + (-480 + 856 - 461)*(2*c + 2*c + c) in the form j*c + p and give j.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r**2 + 2*r + 7. What is the units digit of z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -148*x + 2076. Let k be u(14). Solve 2*i = 8*y - 5*y - 7, k*y + 5*i = 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60837.6 decades in centuries?\nAnswer: 6083.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 3.6. Let k(d) = 6*d + 73. Let a be k(19). Let n = -185 + a. What is the nearest to 2\/3 in p, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/64216 and 59\/89344.\nAnswer: 2054912","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3) + (5 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 380 and 836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 15*k - 56. Let s be o(-6). Is 2 a factor of (-116)\/s - (-1 + -4 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 421 + 90)*(-2*k**2 - 3*k + 4*k**2 + 5*k + (4*k - 5*k + 0*k)*((0 - 1 + 3)*(0*k - 4*k + 2*k) - k + k + 2*k)).\nAnswer: 2088*k**2 + 1044*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1700) + 1 + 2)*-6 + (-2*-2*sqrt(1700) - (1 + sqrt(1700))*-2) + -5)*-5)**2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 915, 1798, 2681, 3564, 4447?\nAnswer: 5330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/7, 0.6, 0 in descending order.\nAnswer: 0.6, 1\/7, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1021 - 640. Let w = -380.999783 + d. Round w to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.12392.\nAnswer: 0.49568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -642 - -732. Suppose 16*j - 19*j = -m. What is the lowest common multiple of j and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/21 + -59*(-4401)\/63.\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12231900 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9016\/(-69)*(-3)\/1. Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.9 and -39464025.\nAnswer: 153909697.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (17 - 13 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 10. Suppose -4*y + 1028 = -l*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1587989 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/2 (c) -163 (d) 5 (e) 15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7606, -3\/5, 2\/5, 0.24 in descending order.\nAnswer: 2.7606, 2\/5, 0.24, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(2\/2). Suppose 3*n = -j*n + 795. Is 1\/(4 + (-1055)\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 0) + (199 - 217)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 832, 1858, 3296?\nAnswer: 5146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*g**5 + (-6*g**3 + 3*g**3 + g**3)*(-4*g**2 + 5*g**2 + g**2) + g**5 - g**5 - g**5.\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(294)*5 + 4 + (1 + sqrt(18) + 3)*-2)**2*6.\nAnswer: 1776*sqrt(2)\/7 + 21132\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 20*l**2 - 4*l + 33. Let r(v) = -v**3 + 5*v**2 + v - 8. Let m(z) = 9*r(z) + 2*w(z). What is m(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -63998*g**2 + 128002*g - 3. Determine n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 173 and -105.08?\nAnswer: 278.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530920 and 780.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/7 - 22*z**4 + 370*z**3 - 2438*z**2\/7 = 0.\nAnswer: 0, 1, 23, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 + 6384 = 23*h. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8636 by 30.\nAnswer: -4318\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(d + 0 + 0) - 6*d + 6*d + 22*d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62450 or 10303?\nAnswer: -62450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-8) + (-1)\/(-4). Let z = -4.7 + 1.7. Which is the nearest to -0.1? (a) z (b) -1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1678.593kg?\nAnswer: 1678593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6572475 and 7482510.\nAnswer: 486363150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 32 (b) 0.2 (c) -4\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*n = -10, -17*n = 4*r - 15*n - 4. Solve -12*j + 12 = -r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (22\/33)\/(2\/597)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2549, 4848, 7147?\n\"Answer: 2299*q + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*j + 93*j - 185*j - 874 = 223*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12521 (base 6) to base 5\nAnswer: 30141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:22 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 6\/10 + 2 + (-96)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37*m + 68. Determine f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:35 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wewe when four letters picked without replacement from {e: 8, w: 7}?\nAnswer: 14\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314033 - 200?\nAnswer: 313333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -17. Suppose 62 - 425 = -c*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.4445886 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 0*x - 25 = -5*x, 2*r = -4*x + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 32702636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 21*c**2 - 28*c - 27. Let y be 46\/(-230) + 198\/(-10). Is 12 a factor of b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.290106637807 and -0.4?\nAnswer: 0.109893362193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -234, 0.3, 6\/1787?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4365 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419336762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38852653?\nAnswer: 7, 5550379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 + 15*j**2 + 13*j + 8. Let l(o) = 4*o**3 - 8*o**2 - 7*o - 4. Let m(u) = -3*h(u) - 5*l(u). Let s be (-5 + -4)*(-6)\/9. Determine m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 10*m - 4. Let r be h(5). Let t be (8\/(-6) - -1)*-1. Which is the second biggest value? (a) r (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 237887.4 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -13*q**2\/2 + 8*q + 14. Differentiate b(s) with respect to s.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1260988.3 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 70 = -10. Suppose -52*u + z = -49*u. Solve 0 = -u*m + 8 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 34*k. Solve k = -7*s + 6*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 29 + 2*n - 1 + 19.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 18*j**2 - 39*j - 92. What is the units digit of p(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 0. Suppose q = -r + 3*r - 16. What are the prime factors of (-24)\/32 - (-126)\/r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/(-196))\/(6\/(-16)))\/(575\/(-70) + 9).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111608604133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2460\/(-2)*2\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(16)\/sqrt(4)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16146 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830251 is divided by 468?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7966519 rounded to two dps?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200145391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 5*u + 435. Let o = -3 - -5. Suppose -3*y + o*v = -89, -y - 5*v - u = -6*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 9. Let c be (-2 - 0)\/(d\/6). Solve -2 - c = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-404)\/505 - 242\/160 and -81\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1830 = 1829 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 182\/(-3)*(-4)\/(-20). Let w = k - -292\/15. Let d(c) = c**3 + 11*c**2 - 11*c + 14. Calculate the common denominator of w and d(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2307*n - 2018616. What is g(-875)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u - 15. Let t be z(10). Suppose 0 = -g + 37 - t. Let w be 9\/2*((-4)\/g + 1). Put w, -5, 8 in increasing order.\nAnswer: -5, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 = 2*r. Differentiate 3 + r*a**4 - 4*a**4 + 2*a**4 - 2*a**4 wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646904 divided by 22?\nAnswer: -823452\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4 - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {m: 2, l: 16}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 151186634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/3)*m)\/(m**(2\/11)\/m)*(m**(1\/4)*m*m)\/m**5)**43)**43 assuming m is positive.\nAnswer: m**(97997\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.0569\nAnswer: 0.2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 45089989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from {w: 3, a: 11, b: 3, l: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 4164*b**2\/5 + 25344*b.\nAnswer: -2*b*(b - 30)*(b + 2112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -3*s**7\/7 + 65*s**6 + 1321*s**5\/5 + 1217*s**4\/3 + 887*s**3\/3 + 111*s**2 + 70*s - 9. What is h in v(h) = 0?\nAnswer: -1, -1\/3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2\/19, -6026 in decreasing order.\nAnswer: 19, -2\/19, -6026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05637784 - -3781172.05637784. Let m = g - 3781429.0191. Let f = -257 - m. Round f to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -36. Solve 2*k = p*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h + h**3)*(8*h + 7*h + 13*h) - 8*h + 8*h + 3*h**4 + h**3 to n*h + d*h**4 + y + m*h**2 + w*h**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26178 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 10898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*f - 4*f**3 + 202*f - 5*f**2 + 64*f + 8*f**3 to the form g*f + i*f**3 + r*f**2 + w and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7722 - -7738. Solve -l*b + 8 = -24*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let i(x) = -31*x. What is k(i(r))?\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 3. Let r be f(-6). Let o be (-1)\/(-2) + 66\/4. Solve 0 = 5*n - r*j - o - 3, -3*n + 4*j = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009083 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, -7, -0.5, -12, 628 in decreasing order.\nAnswer: 628, -0.5, -2\/3, -3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + 0.064. Let x = 4.356 + l. Let u = x + -0.4. Which is the second biggest value? (a) u (b) -0.1 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-7))\/j)\/(j*j**(5\/6)\/j)*(j*j*j\/(j\/(j\/(j\/(j\/((j\/(j\/(j*j\/j**(2\/15))))\/j))))*j))\/(j*j**(1\/3)))**(1\/16) assuming j is positive.\nAnswer: j**(179\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 8*w**2 - 3*w - 7. Let q be o(-7). Let c be (-114)\/(-14) - (-5)\/q. Suppose 3*g + c = 56. What is the lowest common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 9 = 3*l, 5*l + 677 - 342 - 350 = 4*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -8, -1, 6, 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/15)\/((-5)\/3765). Let l = -110 + o. What are the prime factors of l?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-33)*2475\/2400*-16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -70.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 19*l - 53. What is the units digit of b(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 5 = -6*u. Is u bigger than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342239*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*j - 104, 2*x - 659 + 611 = 2*j. Let t(m) = 3*m**2 - 2*m - 8. Let k be t(7). What is the greatest common divisor of k and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 4. Let n be -1 + 0 - (0 - 1). Let z be -1 - n - f - 2. Let i(x) = -x**3 - x**2 - 4*x - 3. Calculate i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-9)*(-33)\/11. Let z(o) be the first derivative of 0*o - 2 + 3\/2*o**n + 4\/3*o**3 + 0*o**2. What is the third derivative of z(h) wrt h?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/(-30) - (-1)\/5. Let a(y) be the first derivative of y**3 + s*y**2 - 6*y + 5. Let a(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 720*w + 127383 = 2798*w - 229854 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(728\/(-16)))\/((-2)\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 - 19*h**2 - 13*h**2)*(4 - 2 - 4)*(-7 + 14 + 9).\nAnswer: 832*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15bc (base 14) to base 7\nAnswer: 14225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 divided by 4?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 6. Let w(t) = -3*t. Calculate w(u(s)).\nAnswer: 3*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1763, -2907, -3445, -3383, -2727?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:27 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15) + (-3)\/(45\/201). Let b(q) = -5*q - 4. Let f be b(4). Let s = k - f. Calculate the greatest common factor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 407 - 1631\/4. Sort -1, o, 1.4 in decreasing order.\nAnswer: 1.4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -5\/2, -0.02, 0.2, -1\/371, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:34 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*y + 4*y = -345, 4*y = 20. What is the highest common factor of f and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -8*x - 3. Let b(g) be the third derivative of 0*g + 1\/12*g**5 - g**2 + 1\/120*g**x + 0 - 7\/24*g**4 - g**3. Calculate b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 12*k**2 + 12*k + 20. Let c be t(-11). Let n(g) = -g + 9. Let l be n(c). Sort l, 2, -4 in ascending order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + a. What is u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, r: 7}. Give prob of sequence rfr.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 618 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 25 = -g. Suppose -12 = 3*c, 0 = 4*s + 7*c + 22 - 6. Solve -10 = -g*f - 3*x, -2*f = 3*x + 2 + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19451*x - 15575*x + 36597*x.\nAnswer: 40473*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) -4\/5 (c) -158 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -42. Which is the closest to 0? (a) p (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43\/4 + -58\/3. Find the common denominator of y and -1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*t = 287*t - 5*k - 137263, t = 4*k + 68639. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234202542.\nAnswer: 2, 3, 7, 73, 76387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -27557288.\nAnswer: -27557288.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97377866*z**6 + 115634812*z**2?\nAnswer: 11685343920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -56, 8, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-65)\/(-52))\/(2\/(-56)). Let i be (-85)\/k - (-1 + 2). Factor -6\/7 + 2\/7*o**3 - i*o - 2\/7*o**2.\nAnswer: 2*(o - 3)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 5*b - 2*b. Let w(k) = 4*k**2 - 44*k. Let j(i) = -i. Let d = 16 + -14. Let g(h) = d*w(h) - 88*j(h). Calculate f(g(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -10 (c) -1 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17 + 153*j**3 + 142*j - 145*j + 19 wrt j.\nAnswer: 918*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 1, o: 2, y: 2, q: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 5 (c) -836 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.41 + -113.59. Which is the nearest to -1? (a) -0.3 (b) 0.1 (c) v (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19389 + 6?\nAnswer: -19383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + 6*(sqrt(85) + sqrt(85)*-1) + sqrt(85))\/sqrt(5).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 1*13\/(-4). Let q = 21 - 20.7. Let l = 2.8 + 2.2. Which is the second smallest value? (a) h (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*z + 630*z + 220*z - 33620 = 18250 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(-2*2*sqrt(130) - (sqrt(130) + -4*(sqrt(130) + sqrt(130) + sqrt(130)*2)))\/(sqrt(1000)*-1*3)*-1)**2.\nAnswer: 14157\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 238\/(-85) - (2\/(-10))\/(-1). List the prime factors of -3 - (-5 - p) - (-8734)\/11.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359678 divided by 2.\nAnswer: 179839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553 + 18*n - 9*n - 275 - 278.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/15 + 8*s**5\/25 + 3*s**4\/5 + 8*s**3\/15 + s**2\/5 + 1. Factor k(c).\nAnswer: 2*c*(c + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1569 - -1604. What is the smallest common multiple of i and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1357 and 1610.\nAnswer: 94990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -7 (c) -2015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4057479, 4057445, 4057391, 4057317?\n\"Answer: -10*l**2 - 4*l + 4057493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6 - v**2 + 0*v - v - 5*v. Let h be (-3)\/(-2)*8\/(-3). Let c be k(h). Let y(l) = l**2 - 2*l + 1. What is y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 349828159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q = -31*q + 5*i + 30, -q - 26 = 4*i for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77818 is divided by 143?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 0*c = -l + c - 17, -3*l - 5*c = 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24128\/3944 - 4\/34. Solve -3*l - 3*g + j = 0, 5*l - 7*g + 6 = -4*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 49*s + 4*c - 13, 3 = 3*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -20, -42, -52, -38?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 368*a**2 - 4*a + 368.\nAnswer: 4*(a - 92)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 60*x**5 + 180*x**4 - 35*x**3 - 155*x**2. Let i(b) = -5*b**5 - 15*b**4 + 3*b**3 + 13*b**2. Let f(q) = 25*i(q) + 2*o(q). Solve f(g) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/28 - 2\/7. Let v(k) = k**3 + k**2 + 2*k + 2. Let u be v(d). Let l(p) = -p - 6. Let s(f) = -2*f - 11. Let q(y) = u*s(y) + 13*l(y). Calculate q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-15)\/(-24) + (-2010)\/(-240)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 0, 6*b - b - 5 = 5*g. Solve b*h - 5 = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*q - 227*q + 15 - 15.\nAnswer: 63*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1279 - -566?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 2*w**3 - 15*w**2.\nAnswer: -2*w**3 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.9855ml in litres?\nAnswer: 0.4349855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.069 + 0.169. Round w to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 27 + 31 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 32*l + 1.\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*u - 48, 7*u - 124 = 2*u - m. Let b = 4 + u. Calculate the remainder when 114 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 12*v**2 + 9*v - 4. List the prime factors of l(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(4*t - 8*t + 5*t)*(-56*t**2 + 355*t - 355*t)*(0 - 2 + 0).\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 192*k - 195*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/11880 and -31\/1980.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4339, -17344, -39021, -69370, -108391, -156084?\nAnswer: -212449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208431252292 + 208431252152.699997653. Let d = s - -139.3. What is d rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -877, 2\/17, -3\/2?\nAnswer: -877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(-15)\/6 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/76760 and 29\/120.\nAnswer: 230280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/101 - -283\/505. Let j = 4 - -2. Suppose 3*l = 3*d + j*l, 0 = -2*d - l - 1. Which is the nearest to 0? (a) y (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36000 divided by 9000\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 1, h: 1, s: 1, v: 1}. Give prob of picking 1 x, 1 p, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33302594*b*h**2 - 14*b*h + 459*b - h + 10 wrt h.\nAnswer: -66605188*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-2)*2508\/2717.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 71*f**2 - 145*f + 73.\nAnswer: (f - 1)**2*(f + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, h: 6, x: 2, y: 3}. What is prob of picking 1 d, 1 y, and 1 x?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 1. Let s(x) = -10*x**3 + 1. Let z(y) = 5*y - 64. Let u be z(13). Suppose -5*i - 8*p = -9*p - 7, -2*p = 3*i + u. Give i*s(c) + d(c).\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7 = -1, x = -r + 35. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51829*h**2*s**3*v + h**2*s**2*v**3 + 6*h**2*s**2 - 110*h*s**3*v**3 - 3542*h*s**2*v + 4*s**2*v**3 + 9*s wrt s?\nAnswer: -310974*h**2*v - 660*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 11. Let r(x) = -2*x + 5. Suppose k + 11 = -7. Let w be -3 + 0 - k - 3. Let l = w + -3. Determine l*r(z) + 4*d(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*t - 65 + 78*t - 148*t to r + z*t and give r.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77357393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = -k. Let j(s) = 2*s - 3. Let t be j(k). Suppose -3 - 3 = -2*n. Solve t = x + b, -10 = -n*b + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 1 + 1)*(21*k**3 + k**3 + 9*k**3) - 141*k - 141*k + 17*k**4 + 284*k to the form t*k**4 + s*k**3 + f + h*k**2 + l*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-27))\/(4\/(-222)). Suppose -5*c = -13 - d. Solve 0 = -c*k + 5*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*u = 3*u + 26, -5*d - 127 = 4*u. Let a be 6\/(-4)*(d + 1). What is the third derivative of -17*l**2 - 33*l - 3*l**5 + a*l wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*u + (6 - 2 - 3)*(4*u - 4*u + 2*u) + 2*u + u - 5*u + 2*u + 6*u - 4*u + (-u - 2*u + u)*(-4 + 6 - 3) + 70 - 108 - 277*u + 39.\nAnswer: -269*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + 4\/(-8). Let d(c) = 4*c - 1. Let m be d(z). Let v(p) = -p**3 - 4*p**2 + 5*p + 3. What is the lowest common multiple of 7 and v(m)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/7 - 2771147*x**3\/7 + 6927877*x**2\/7 - 4156728*x\/7 = 0.\nAnswer: -1385576, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 564.0799 to the nearest integer.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100111010101 (base 2) to base 3.\nAnswer: -2012122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 21*p**2 - 21*p + 3. Suppose 45 = -s + 5*m, -2*m + 5*m + 85 = -5*s. What is the lowest common multiple of 3 and i(s)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4\/7 (b) -1450 (c) -0.4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52924045 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 2\/7 (c) 1 (d) 0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5693460.\nAnswer: 2, 3, 5, 31, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + (-3 + 4 - 2)*(4 - 2 - 1) + 1483 - 936 + 1735)*(5 - 6 + 2)*(t**2 - 3 + 3 + (3*t + 0*t - 5*t)*(0*t + 3*t - 4*t) - 3*t**2 + t**2 - 4*t**2).\nAnswer: -6849*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*u + 490 + 88 = 0, 0 = k - u - 590. Let b = -366 + k. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5360208593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*s**2 - 54 + 53 + 2*s + 5*s**2.\nAnswer: -100*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 70 + 32)*(-1 + 1 - 2*c).\nAnswer: 198*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 2. Let r be m(-5). Let p(l) = l**3 + 9*l**2 - 8*l - 2. Let s be p(r). What is the greatest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:16 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393496 greater than or equal to 1393502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*5)\/sqrt(8) - (-6*2*sqrt(11))**2.\nAnswer: -1584 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.033.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 1.9. Let k be (-2)\/5*(-1)\/2. Which is the second biggest value? (a) h (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -16, -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2337737.\nAnswer: -6\/2337737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c4771 (base 13) in base 16?\nAnswer: -10b6d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10817, 10813, 10807, 10799?\n\"Answer: -i**2 - i + 10819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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 x(k) = -k + 10. Suppose 0*b + 4*b + 23 = 3*w, 3*w - 24 = 3*b. Let h be x(w). Is -6\/13 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -43. Let b = 695 + -625. What is the remainder when b is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 349*d + 59*d - 1517 = 1339 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110414*d**3 + 165148*d**2 wrt d?\nAnswer: -662484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7358192 rounded to 2 dps?\nAnswer: -23.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75739 and 220631?\nAnswer: 3293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnjp when four letters picked without replacement from {j: 4, n: 7, p: 2, r: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 != 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12691d83 - -3?\nAnswer: -12691d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34\/9 - -28\/9. Let q = -102\/89 - -2\/623. Which is bigger: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816133451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 + 3*l**3 - 3*l**2 - 11*l - 5. Let z be w(9). Let a = z + 101. What is the greatest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-308) - (2 + 15\/(-7)). Solve t*y + 6 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506 (base 10) in base 14?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 7:15 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23752, -47404, -70946, -94378, -117700, -140912, -164014?\n\"Answer: 55*o**2 - 23817*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 2. Let h(b) = -b + 1. Let a(f) = d(f) + 5*h(f). Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*b = 122*b + 231. What is the second biggest value in b, 2\/7, 0.5, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/5 - 11844*v**2 + 32478948*v\/5 - 4374007884\/5.\nAnswer: -4*(v - 267)**2*(v + 15339)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/64556 and 13\/76.\nAnswer: 1226564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -0.202725\nAnswer: -9.7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 5. Let b(g) = 38*g + 83*g + 1 - 1. Is b(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 1, 1\/4, 0.4, -5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6322*a - 7972*a + 753*a.\nAnswer: -13541*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 1. Let n be v(-2). Let w be -12 - (0 + 9)*n\/(-21). Let b(l) = -14 + 10*l + 3 - 8*l**2 - l**3 + 23. Determine b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 18}. What is prob of sequence id?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12471 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 257*i**2 + 15202*i - 3598. What is q(165)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v - 1. Let m be 1 - (8 - (6 - -3)). What is w(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.01. Let x = s + -2.99. Suppose 6*d - 28 = -d. Which is the third smallest value? (a) x (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*3 + (36 - 29). Let k(g) = g**2 - g + 112. Let v be k(0). Calculate the greatest common factor of v and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4014562701 to the nearest integer?\nAnswer: 63361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 54. Solve 0 = q*x - 7*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426 (base 8) to base 11.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 16334084.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 16 = -t - 3*a, t + 2*a = 14. Let i be (78\/12 - 5)*t. Solve 5*z + i = p, 2 = -p - 3*z - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1099894, -1099960, -1100026, -1100092?\nAnswer: -1100158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 5*n**2 - 2*n + 4. Suppose 7*j = 2*j - 15. What is x(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 265233\nAnswer: 142\/265233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 415?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 202 = -2*b - 154, -468 = -4*c + b. Differentiate -133 + 69 - 96 + c*a wrt a.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4341 + 4500. What is the remainder when k is divided by 137?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*i - 40*i - 40*i + 2*i to the form m*i + g and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -8, -18, -22, -14, 12?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -219, -358, -545, -792, -1111?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7160092?\nAnswer: 2, 37, 101, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*q = 142, -3*q - 113 = -2*z - 8*q. Calculate the highest common factor of 704 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-21\/5)*(g**(1\/3)\/g*g)**(-35) assuming g is positive.\nAnswer: g**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(1\/(-2) + 0). Let q be 4\/(-22) - 2\/(-11). Suppose -j = -q*j - b. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2521444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 22*s**2 - 19*s + 44. Let k be x(-21). Find the third derivative of 7*p**4 - p**2 - p + 37*p**4 + 10*p**4 - 3*p**4 + 4*p**k wrt p.\nAnswer: 1224*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -453, -445, -437, -429, -421, -413?\n\"Answer: 8*y - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 27*c**2 + 222*c - 111. Give g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -8 (c) -0.2 (d) 15 (e) 1 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -298\/885 + 12\/59. Which is the third smallest value? (a) -0.3 (b) s (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -1720, 2, 2534?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21874.86 days to microseconds.\nAnswer: 1889987904000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p + 3351 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 15*q - 4 + 11*q**2 + 9*q**2 in the form a*q**2 + w*q + x and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 38*b**2. Let u(m) = 76*m**2. Give -5*p(t) + 2*u(t).\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 3*a + 243*l - 209*l, 2*a + 32 = 6*a - 4*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 - 38*i**2 + 3*i - 36. Let q(n) = -n**3 + 13*n**2 - n + 12. Let l(w) = -4*h(w) - 11*q(w). Calculate the remainder when 11 is divided by l(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1065 divided by -71.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*s**5 + 310*s**3 - 310*s**3 + (-5 - 12*s**2 + 5)*(s**3 + 2*s - 2*s).\nAnswer: 89*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*y - y + 265, y - 53 = -w. Let x = w - 37. What is the third derivative of -26*t**4 + 15*t**4 + 11*t**4 - 10*t**2 + x*t**6 wrt t?\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0, 1\/7, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfy when three letters picked without replacement from {f: 3, y: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3007133825 to the nearest integer?\nAnswer: 54837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/((-56)\/(-168)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.7738 to one dp.\nAnswer: 438.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7194440 to the nearest integer?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983 = -37*s - 1501 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18735 + 18736.49994. Let y = 115.5 - 114. Let m = h - y. What is m rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 10*o**2 + 11*o + 4. Let h be c(11). Calculate the remainder when 2 is divided by (3 - h) + (-6)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -87385, -87387, -87389?\n\"Answer: -2*d - 87383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**8\/112 + 179*z**7\/70 + z**6\/120 + 27*z**5\/20 - 2*z**3 - 4645*z**2. Find the third derivative of s(a) wrt a.\nAnswer: 180*a**2 + 12888*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19462449*a - 1943775*a + 5064779*a.\nAnswer: 22583453*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, e: 1, a: 1}. Give prob of picking 1 a and 1 i.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/40)\/(16\/(-10) - -2). Let d = 1.2 + -8.2. Let q = d - -6.93. Which is the nearest to q? (a) j (b) -2\/7 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 11*w**2 - 12*w. Let u be i(-10). Suppose -v + u = -3*v. Let a = 1 - v. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d*l**3 - d*l**2 + 11014*d*l - 2*d - 751*l**6 - 1 wrt l?\nAnswer: -222*d - 90120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 442 - 3092\/7. Which is the closest to -1? (a) i (b) 0.5 (c) 0.7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20461*c*z**3 + 5666*z**3 + 2 wrt c?\nAnswer: -20461*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83342.04 hours to seconds.\nAnswer: 300031344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172 + -122. Let w be (30\/25)\/(3\/b). Let x(a) = -2*a**3 - 4*a**2 - 3*a - 2. Let l be x(-2). Solve -3*p = -2*i + w - l, 5*p = -20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2133?\nAnswer: 8532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccu when three letters picked without replacement from wwcwcucwcwwwwwwcw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/1167, 2.9, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43390649387\/5888568 - 1\/736071. Let u = t - 7356. Find the common denominator of u and (-54)\/28 + 0\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4600089 decades in millennia?\nAnswer: 0.004600089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*190.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1049\/2310 + -60\/77. Calculate the common denominator of n and 73\/891.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*w + 12*w. Solve 10 = -i - w*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151455 or -1211631\/8?\nAnswer: -151455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g = 86*g - 10. Factor 5*o - 1 - 9\/4*o**g.\nAnswer: -(o - 2)*(9*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 29*x + 51. Determine k(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 32*w = -160. What is the remainder when w is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.027 (c) -12 (d) 1\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + -1 + (-2148)\/(-4) + 8 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 41*r - 6 + r + 11.\nAnswer: -40*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/13))\/(s*s**(2\/3)*s))\/(s**1\/s*s*s*s**(4\/3)\/s*s) assuming s is positive.\nAnswer: s**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 60. Let o = -44 + x. Calculate the highest common factor of 115 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 7360*y - 1560400.\nAnswer: 5*(y - 1660)*(y + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**14)\/(l*l\/((((l\/l**(3\/2))\/l)\/l)\/l)*l))\/((l*l**(10\/9)*l)\/l**(-11)) assuming l is positive.\nAnswer: l**(-83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 783*i + 32209. Calculate r(-41).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -9*t + k - 77, 0 = 5*k + 15. Suppose 0 = r + 2*q - 506, r - 521 = -13*q + t*q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 90 - 35 + k + 67 - 2*k**2. Let d be s(-8). Let q(l) = -2*l - 8. Determine q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 9930*n**2 + 9945*n + 19870.\nAnswer: -5*(n - 2)*(n + 1)*(n + 1987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/(15\/(-6))*-5. Suppose -3*z - 14 = -4*z + 5*x, 0 = -z + 4*x + 11. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x - 773. Let z be n(-61). What is the greatest common divisor of 500 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -32, -16, 4?\n\"Answer: 2*w**2 + 6*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Let t = 8 - l. What is the remainder when 3 is divided by 1*(3 - (t - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 516093424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -114, 4, -0.043, -9, -7\/4?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3.496?\nAnswer: -0.3496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9775144 divided by 4\nAnswer: -2443786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6 + (0 - 1). Find the second derivative of 0*q - p*q - 2*q - q**5 wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1109 - -1106. Sort a, 3\/41, -4 in increasing order.\nAnswer: -4, a, 3\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136331*v**3*y**3 - 67*v**3*y**2 + 3*v**2*y**6 - 3*v**2*y + 27*v**2 + 3*v*y**2 + 5*v*y wrt y.\nAnswer: -817986*v**3 + 360*v**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36534518?\nAnswer: 2, 18267259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbfdffubxubbbfff. What is prob of sequence xdb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322698260 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + z. Let i(j) = -13*j**2 + 16*j. Let w(x) = -3*g(x) + i(x). Find the second derivative of w(o) wrt o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668306, 1334768, 2001230, 2667692, 3334154?\nAnswer: 4000616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23143241243 - -113?\nAnswer: -23143241130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -21. Solve s + w*s + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10568116.\nAnswer: 2, 13, 203233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5\/4 - 171*s**4\/2 - 5267*s**3\/4 - 6203*s**2 - 10713*s - 5740 = 0. What is s?\nAnswer: -28\/5, -5, -2, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 522*v**2 + 259*v - 392. Give n(-131).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cumddcmmsuuuusddu. What is prob of sequence udum?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 501 = -2*v, 4*v = 3*v - 2*u + 261. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 19. Does 19 divide p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*m - 99 - 11, -3*s + 4*m = -67. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.7 - -1.3. Let d = -351.9512 - -367.95117. Let w = x - d. Round w to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**4 - 7*i**2 - 46*i + 20267015*i**3 - 20267015*i**3 in the form h*i**2 + f*i + v + d*i**4 + p*i**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28931841 and 51?\nAnswer: 28931841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217389 and 66243.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5900, 5309, 4718, 4127, 3536?\n\"Answer: -591*i + 6491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 143. Let c(o) = -o**2 - 10*o + 5. Calculate c(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24457 - 24472. Let p = 3 + 1. What is the closest to 0 in h, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.8 - 55. Sort f, 1, 5, 24.\nAnswer: f, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17897489 is divided by 585?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402.4 + 2.6. Let b = 404.9297 - u. What is b rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose 0 = d*m - 1 + 4. Let c = 17 + m. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 64*b - 15. Let m be y(-31). Let w = m - 963. Calculate the highest common divisor of w and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 2 - 42 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 256, 241, 210, 157, 76, -39, -194?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 40*b + 35 to the form v*b + n and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91605, -91849, -92505, -93777, -95869, -98985?\nAnswer: -103329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 547*d**3 - 88*d**2 + 10*d wrt d?\nAnswer: 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*l = -1971 - 5661 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 6. Let g = 13 - f. Let u = 0.04 - -0.46. Which is the third smallest value? (a) g (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2. Let w(n) = 6*n**2 + 48. Let z(c) = c**2 + 6. Suppose 232 = -47*g + 18*g. Let p(r) = g*z(r) + w(r). What is k(p(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 30. Let w(n) be the third derivative of -n**4\/12 - 8*n**2 - 6*n. Determine j(w(i)).\nAnswer: -2*i + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.314 rounded to 1 decimal place?\nAnswer: -145.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 + 61*g**2 + 355*g + 39. Calculate the remainder when t(-18) is divided by 82.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 83. Suppose a = 29*g - 24*g - 30. Solve 2 = p + 4*h, 2*h = 3*p - 3*h - g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -54780728\nAnswer: 164342184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 5. Let q be 2 - -2 - d*-7. Let m = q + -9. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 305*x**2 - 73*x + 191. Is t(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + a - 1. Let p be b(2). Let u be p*(-1)\/6 + 2. What is the nearest to u in -3, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -13. Let y(p) = -4*p + 21. Let j = 245 - 194. Let l(f) = -31*f + 170. Let t(k) = a*l(k) + j*y(k). What is the derivative of t(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196816 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271*y**5 + 49*y**4 - 257*y - 49*y**4 + 63*y**5 - 61*y - 3*y**3 wrt y.\nAnswer: -4160*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4072*d + 3*j - 36 = -4068*d - 23, -d + 2*j - 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*23660\/(-2080)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - -1 - 2 - -3. Let n = -7 + t. Let x(i) = 10*i**2 - 8*i - 2. Let w(f) = -10*f**2 + 8*f + 2. Let l(v) = n*x(v) - 3*w(v). Factor l(q).\nAnswer: 2*(q - 1)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663496008 divided by -21?\nAnswer: -31595048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3480, 6965, 10450?\n\"Answer: 3485*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4772 and 804.\nAnswer: 959172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (-15 - -17)\/(48\/22 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*i - 16, -5*i - 18 = u - 0*i. Let p = 0.1 - 0.1. Suppose 0 = 7*y - 3*y - 20. Which is the nearest to 0? (a) y (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -469274 and -18.\nAnswer: -469292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h + 2. Let m be -3 + 0 + (1 - h). Let q be (1 - 10\/8)\/m. Does -13 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 + 113 + -36 + 3 + 0 + -18\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-9) + 2\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -32\/113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*1*(-4)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 2, u: 1, e: 2, n: 1}. What is prob of sequence ulee?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*t - 1. Let k(q) = q**3 - 8*q**2 + 6*q + 4. Let o be k(8). Suppose 5*w - 48 = o. Calculate the lowest common multiple of t and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*(0 + ((sqrt(605) - (sqrt(605) - (-2*sqrt(605) - sqrt(605))))*-5 - sqrt(605)))*6)*-3)**2.\nAnswer: 33264*sqrt(5) + 38419956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387851422.\nAnswer: 2, 3, 11, 59, 613213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/m**(-34))\/m)\/m)\/m**(12\/13) assuming m is positive.\nAnswer: m**(430\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112231300 (base 4) to base 5.\nAnswer: -10434130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8054, -5, 5, 10 in increasing order.\nAnswer: -8054, -5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2487004 = 3*n - 2*m, 5*m = -5*n - 4145020. Round n to the nearest ten thousand.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249383 plus 12.252591?\nAnswer: 1249395.252591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 + 3\/7*l**2 + 19\/21*l**4 + 3\/20*l**5 - 5*l + 41\/42*l**3. Suppose y(c) = 0. What is c?\nAnswer: -3, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (210\/(-25))\/((-9)\/(-30)). Let a = 69 + r. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c - 3. Let l be g(-6). Suppose -l = -4*j - 17. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 92 = 5*k. Suppose -9*n = -5*n - k. Solve -2*z + 14 = -z - 5*x, 0 = -2*z - 3*x - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/384 - -25*1\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -162.78. Let w = 4.18 - y. Which is the third smallest value? (a) w (b) 2\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/243345 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35.598*-13.4\nAnswer: 477.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g + 2*a + 4 = 0, 0 = -5*g + 3*a - 10. What is the units digit of g + 3 - (-2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56675?\nAnswer: 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6. Suppose 4*i - 12 - 28 = 0. Suppose 7*o = i*o + 3. What is the smallest value in k, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10165 != -10160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - p)*(0 - 1 + 0)*(0 - 38 - 72).\nAnswer: -110*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 5. Let j be r(8). Let d(g) = 2 - 3*g + 2*g + g**2 - 1. Let f be d(0). Sort -1, f, j.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from iulgbbsu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*m + 130 = 0, 4*q - 2*q - 2*m = 142. Let d = -75 + q. Let o be 15 - 2\/8*(d - -2). What is the highest common divisor of 112 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93+0.3\nAnswer: 93.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5*l**2 + 22*d**4*l**2 - 69*d**2 - d*l**2 wrt d?\nAnswer: -60*d**2*l**2 + 528*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 12. Let a be u(-12). Suppose -4*x = 4*l - 88, a = -3*x - 0*x - l + 70. Solve -2*c - 13 = j, -j + c + x = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmhh when four letters picked without replacement from {y: 1, u: 3, x: 1, h: 4, c: 2, m: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 429, 993, 1567, 2151, 2745?\n\"Answer: 5*h**2 + 549*h - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 52874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -1) + (-15 + 7 - (8 - 5))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40018*g*x**2 + g*x + 30794*x wrt x?\nAnswer: -80036*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from dpocopddddodgcgpgccd?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -69*k - 42. Let m(l) = 35*l + 17. Determine -10*m(q) - 4*u(q).\nAnswer: -74*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7 - 3 - 11*a - 2*a**2 + a**2. Let q be -3 + (-8)\/(-4) - 9 - 0. Let o be h(q). Is o equal to 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(252))*1 - sqrt(252).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.1 + 127.1. Let k = 43676.164 - 43569.164049. Let n = b - k. What is n rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4*s = 4*q - 316, 3*q - 5*s = 277. Suppose 2*x + 3*x + q = 4*i, 0 = x + 4. What is the greatest common factor of 80 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*r*(r\/(r*r**(-4)*r*r))\/r)\/(r**6*r**(5\/2)) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -252 - -366. Suppose 0 = 11*c - 8*c - v. Suppose 3*x = -m - 5 + c, 4*x = -2*m + 68. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.17 (c) -86309 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763794727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84605?\nAnswer: 5, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 8*m - 7. Let s be i(-9). Let b be (5 - s)*12\/9. Solve -2*d - 2 - b = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from czuumuiumucmumpzcmi.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -355?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**2 + 1410*b + 9723 = 0?\nAnswer: -463, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/90 - j**4\/4 - 20*j**3\/9 - 176*j**2. Suppose c(s) = 0. What is s?\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8127 is divided by 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-144)\/(-270)) + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3405 (base 16) to base 6.\nAnswer: -141353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2601854*j - 21 = v - 2601852*j, -2*j - 11 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 8 = -53 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 242463 times -0.5?\nAnswer: -121231.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b98 (base 16) in base 5?\nAnswer: 43333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3891534 is divided by 267.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306485 is divided by 21417.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 7*x**2 - x + 3. Let g be q(8). Let v = 65 + 32. Let r = v - g. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/28 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1663910353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/5 + 218*r\/5 - 15344\/5 = 0. Calculate r.\nAnswer: -274, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b1 + 0?\nAnswer: -8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 584 + -588 - (-15 + 1 + 0) - -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/(-2))\/(7\/(-1288)) + 2. Let s = 3722 - g. Suppose 0 = -u - 4*f + 721, 2*u - s = -0*u + 3*f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.00000322 - 58. Round s to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - x = -2*q + 92, -q + 3*x = -36. Suppose 83*u - 237 = 12. What is the greatest common divisor of u and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2337*b*g**5 + 18*b*g**3 - 4827*b*g + 9*g wrt g?\nAnswer: -46740*b*g**3 + 108*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let t be 2 - (-3 + (-13)\/(-3)). What is the nearest to -2\/3 in u, -4, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/5 (b) 2\/3669 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*j + 5*j - 25, 2*f = -j + 11. Let u be 76\/18 + f\/(-27). Solve 4*r - 5 = 4*a + 3, -5*a + 26 = u*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -7*n - 9. Suppose -9*a + 11*a + n*i = 4128, -3*a = -5*i - 6184. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 6)\/((-2)\/(-4)). Let y(d) = d**3 - d**2 - d. Let p be y(x). Suppose -2*n = -4*n + p. Which is greater: 1\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133917 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1803654 and 1\/90.\nAnswer: 9018270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -15*o + 3 - 2 + 1 - o**2 + 12*o. Calculate f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -801\/7 - -115. Factor -2\/7*y**3 - b*y - 6\/7*y**2 + 0.\nAnswer: -2*y*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5349*p - 6*p**2 - 10697*p + 5348*p + p**2 - p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - q + 11 = 0, 4*n + 2*q = -3*q + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -1)\/(-1) - (-4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2*d + 6*d + (3 - 2 + 1)*(3*d + 2*d - 3*d) + (5 - 1 - 5)*(0*d + d + d) + (d + d - d)*(-1 + 0 + 2) - 6 + 14 - 6 + d to the form l*d + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(4752)*-2 + (sqrt(132)\/sqrt(4) - sqrt(33))*3)\/((sqrt(30) - sqrt(120))\/sqrt(10) + sqrt(3) + sqrt(48)*2).\nAnswer: -23*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 - 110. Let m be (k - 1)*(-70)\/30. Suppose m*p = -3*v + 5*p + 5, 2*v - 30 = 4*p. Solve 0*g = g + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*h**5 - 48882*h**4 - 2*h**2 + 97760*h**4 - 48880*h**4 + 59*h - 5*h**3 + 3 wrt h.\nAnswer: -2640*h**2 - 48*h - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1232*p + 29795. Calculate u(-25).\nAnswer: -1005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 - 37310*v**2 + 936295*v + 3144540 = 0. What is v?\nAnswer: -7487, -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -266.15299678 - -51\nAnswer: -215.15299678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 15 = 31*w - 44*w. Solve 0*o - w*d - 17 = o, -2*o - d = 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {r: 10, q: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/182, -2, -3, 4\/5, 12\/11?\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 398*n**3 - 93462*n**2.\nAnswer: 2*n**2*(n - 111)*(2*n + 421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unknssukkkusnksuk. Give prob of sequence ssun.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njuu when four letters picked without replacement from uuquqrjrnlljru.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 54 - 4308*j - 5 to f + y*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -24. Let i(j) = j**3 + 6*j - 2. Let t be i(p). What is the greatest common factor of 129 and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1 - 325*b - 324*b + 0 + 648*b. Let a(v) = -v**2 + 5*v - 6. What is -2*a(q) - 10*h(q)?\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165642 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -48 (c) 1\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 93, 83, 69, 51, 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 13. Let g = -37 + k. Let w = g + 24. Solve 3*t = 9 - w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/210 and 89\/191390.\nAnswer: 4019190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q\/(q**(-7)\/q))**17 assuming q is positive.\nAnswer: q**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -0.190092?\nAnswer: -0.590092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0714? (a) -2 (b) 2.04 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - -3.8. Suppose 2*c + 2*a + 8 = 0, -5*c = -c + 3*a + 13. Let m = -1.9 + 2. What is the closest to -1 in u, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 + 21*v + 23. Let q be c(-11). Calculate the remainder when q*1 - (6 + -2) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(4 + sqrt(204)\/sqrt(3)) + (sqrt(170) - -4*1*sqrt(170))\/sqrt(10) + 5 + 2.\nAnswer: -7*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115111 + 135410?\nAnswer: 254521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5203.250094 rounded to the nearest 10?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11099453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + 2*v**2 - 2*v**2)*(-1 + 1 + 2) - 147*v**2 - 469*v**2 - 88*v**2 in the form w + o*v**2 + r*v and give o.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let q(p) be the first derivative of 4*p**3 - 7. Calculate h(q(z)).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 7*v - 7*v)*((1 - 1 - v)*(0 - 2 + 0) + 3*v - v + 0*v) as x*v + a + w*v**2 + l*v**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220338983\/5713 - 38568. Are j and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*s + 841, -v - 2*v = 2*s - 602. Suppose 0 = -39*z + 43*z - v. Put 1\/4, 0.2, z in increasing order.\nAnswer: 0.2, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2022 + 2878. What are the prime factors of f?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4061, 17158, 38995, 69572, 108889, 156946, 213743?\n\"Answer: 4370*u**2 - 13*u - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -390. Suppose -7*j + 433 = -y. List the prime factors of j.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 883 = -4*p - 185, 0 = -2*f + 8. Let o be (p\/(-63) - 6)\/((-2)\/28). What is the highest common factor of 216 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*x - 24 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2584 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18)*x*x**20*x)**(-14) assuming x is positive.\nAnswer: x**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {k: 2, e: 1, v: 1, h: 2, n: 1, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*s**2 - 2782*s - 83*s**2 - 79*s**2 + 2782*s.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 - 5 - 3 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11673923*c**3*s**3*v**2 - 10296*c**2*s**3 - 15*c**2*v + 12*s**2*v**2 wrt c?\nAnswer: 70043538*s**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 + sqrt(24)\/(-1*sqrt(2)))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2231059257 rounded to 4 dps?\nAnswer: 0.2231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/13 - 16*d**3\/13 - 12*d**2\/13 + 14*d\/13 + 12\/13 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + 3 + -2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 36*a - 7. Determine d(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 14. Which is the closest to u? (a) -0.4 (b) 3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 51 + 9 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -182\/9, 4\/3, -0.3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:49 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -7988?\nAnswer: 798b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 5*y - 5*y)*(0*y**2 + 2*y**2 - 11*y**2) + (-4*y - y + 4*y)*(-3 + 3 + 2*y**4) + (0*y**5 + y**5 - 2*y**5)*(-7 - 5 + 8).\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 27 - 13. Let s(q) be the third derivative of -q**6\/15 + q**5\/15 - 110*q**2. Let t(x) = -9*x**3 + 5*x**2. Give i*s(w) + 4*t(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169862130 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 117184 + -7?\nAnswer: 117176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o\/o**25)*o*o)\/(o\/(o**13\/o)))**42)**24 assuming o is positive.\nAnswer: o**39312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(2057) + (sqrt(2057) - (2*(sqrt(2057) + 0) + sqrt(2057))**2))*-1*6.\nAnswer: 66*sqrt(17) + 111078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 4, d: 5, q: 2, j: 2}. Give prob of picking 1 j and 1 i.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 4 (c) 2\/7 (d) 205 (e) -2 (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*n**2 + 3*n**2 - 23*n**2)*(-71 + 71 - 4*n + (5 - 1 - 5)*(0*n + 3*n - 2*n)) as h*n**2 + c + j*n + l*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40097657*o**4 + 1697*o**2 + 2*o - 168.\nAnswer: 962343768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3 (b) 0.5 (c) -39 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3068*w**2 + 3322*w**2 - 1426*w**2.\nAnswer: -1172*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from {x: 5, p: 5, g: 4, r: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23455 times 1137?\nAnswer: -26668335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 - 9 = 0. Is (6\/4 + (x - 0))*110 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4976258?\nAnswer: 2, 7, 61, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154\/5 - -1068\/35. Is p greater than 7\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-15 + 6 + 0 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2 + 9*u + 106. Let m be r(5). Let y(s) = -2*s - 19. Let i(t) = t + 1. Determine m*y(v) + 6*i(v).\nAnswer: 4*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1 + 2*h**2 + 5*h + 0 - 6*h. Let d be s(1). What is the derivative of 1 + n**4 + 6*n**2 - 2*n**2 - 4*n**d wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1748789, 1748788, 1748799, 1748828, 1748881, 1748964?\n\"Answer: l**3 - 8*l + 1748796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23976*g - 32668*g - 5891*g - 23704*g - 15644*g.\nAnswer: -101883*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*sqrt(80) + 5)*-3.\nAnswer: -60*sqrt(5) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -214352 divided by -60?\nAnswer: 53588\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4497577, 8995145, 13492701, 17990239, 22487753?\nAnswer: 26985237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:11 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 10748\/35.\nAnswer: -3, -1, 10748\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2707159.1 + -492975.1. Let a = 2215366.477 - k. Let r = 1183 - a. What is r rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3599\/3 + -1200. Sort -8.6, -4, -3, g, 0 in decreasing order.\nAnswer: 0, g, -3, -4, -8.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 77?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 2, d: 4, b: 2, f: 1}. Give prob of picking 1 z, 1 b, and 1 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.6410397 - 503118.4240397. Let y = b - -503340. Let a = y + -256. Round a to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-24) - (29\/6)\/(-29). What is the greatest common factor of 746 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*o + 18 = -0*o, 0 = -4*c + 2*o - 2. Suppose c + 10 = -2*h. Let n be 8\/h*(-297)\/22. Calculate the highest common divisor of 45 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 98.95 and 2.13.\nAnswer: 101.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 69219*q**2 - 4794037521*q\/2 - 95770032020.\nAnswer: -(q + 40)*(q + 69199)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -714559.89 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 19*a**2 + 9*a - 52. Let u be r(21). Let h = u - 1004. Factor 65\/2*m - 20*m**2 - h + 5\/2*m**3.\nAnswer: 5*(m - 6)*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26132 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 206, 388, 630, 938, 1318, 1776?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -1562517.33?\nAnswer: 1562518.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 396288319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cfcac - -10?\nAnswer: -cfc9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 9*g**2 - 111*g - 419. Determine b(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.566 + 0.057.\nAnswer: 3.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 - 4*z + 2*z**3 - 107 + 110 - 12*z**3 - z**2 in the form r*z**4 + h*z**3 + d + g*z**2 + x*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/3 and -22\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 8 = 23*v. Solve 17 = -3*c - 2*c - v*m, c = 3*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7709209 greater than or equal to -7709210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 89279.\nAnswer: 5\/89279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 5) to base 11.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -0*z. Suppose z = -0*r - r - 628. What are the prime factors of 4\/30 - r\/15?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 112. Let s be 2\/(-8) - 385\/a. Let x(n) = -n**3 - 15*n**2 - 17*n - 20. What are the prime factors of x(s)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*s = -4, -5*o - 5*s = 4 + 1. Solve 0*i - 5*i - 20 = o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 39. Let j(g) = -g - 64. Let x(c) = -5*f(c) + 3*j(c). Let t(s) = -3*s - 3. Determine 6*t(i) + 5*x(i).\nAnswer: -8*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-154)\/308)\/(1\/16). Sort v, -2, 15.\nAnswer: v, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -22, -13, 10, 53?\n\"Answer: l**3 - 2*l**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66, 227, 504, 903, 1430, 2091, 2892, 3839?\n\"Answer: o**3 + 52*o**2 - 2*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*q - 184, -3*q - 6*j = -2*j - 274. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 0.16. Let t = 5.8 - 6. Let g = 3 - 4. What is the closest to v in g, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 200. Let r be w(-38). Let v(n) = 3 - 40*n - 3 - 45*n + r*n. Let j(p) = -6*p**2. Give j(v(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/140 + n**4\/21 + 2*n**3\/21 + 2*n**2 - 9*n. Factor v(a).\nAnswer: (a + 2)*(3*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 3*v**2 + 63637 - 63637.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-2)\/(-15)). Suppose 59 = d*c + 2*w, 3*w + 53 = 5*c + 2*w. Suppose 0 = 4*f - 115 + c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24433565 and -2?\nAnswer: -48867130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -3*k**5\/100 + 64*k**4\/5 - 509*k**3\/10 + 381*k**2\/5 + 718*k. What is w in z(w) = 0?\nAnswer: 1, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 0.061222976?\nAnswer: 4.938777024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110213121121 (base 4) to base 12.\nAnswer: 1987561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:37 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6229 - -1102535\/177. Is -1 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4010 - -173.4\nAnswer: -3836.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 q when four letters picked without replacement from iqqqi.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/36*(-60)\/40\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0 (b) -4 (c) -199753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**7\/30 - 37*x**4\/24 + 21*x**2. Find the second derivative of q(z) wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.28, -6, -2\/23, -5, -2\/9 in descending order.\nAnswer: 0.28, -2\/23, -2\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/306054 and 109\/20820?\nAnswer: 3060540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005119 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**2 + 18. Let b be k(16). Suppose 0 = -4*n - 2*i + 6156, -n + 4*i = -3*n + b. Let d = -1018 + n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*f**2 - 3\/2*f + 0 = 0. What is f?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 4495147837272 - 12*h**2 - 4495147837272.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -1\/6 (b) -2\/7 (c) -1 (d) -305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -89b - 26353?\nAnswer: -27032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let q(d) be the second derivative of d**4\/12 - d**3\/2 - d**2 - 6*d. Give q(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38253, -74645, -111039, -147435, -183833, -220233?\nAnswer: -256635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(128) + sqrt(128)*1 + -3)**2 + ((sqrt(40)*-2)\/sqrt(2))\/(-1*sqrt(40)).\nAnswer: -623*sqrt(2) + 21641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i + 46*i = 93*i, -3*n = 4*i + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1. Let g be 3*17*(-1 - -2). Let z = g + -155\/3. Which is the closest to 1? (a) z (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428731 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93*5\/(-90))\/(38\/228)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184 + 187. Suppose -s + 4 + 0 = 0. Let w(d) = 8*d - q*d - s*d. Let u(h) = -h**2. Give w(u(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 35*j - 56*j + 27*j - j**3 + 5. Let l(k) = -2*k + 1. Let h be l(-1). Suppose -z - h = -9. Give y(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*b + 588 = -111*b. Suppose -6*n - 8*n = b. Which is greater: n or -162\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + 10*m + 4, 0 = -2*j + 2*m - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/54 and -31\/275940?\nAnswer: 275940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/27*(-15)\/(-4) + 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 78, 181, 314, 471, 646, 833, 1026?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:55 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -19*s**5\/60 + s**3\/6 + 3018*s**2. Let p(y) = -12*y**2. Determine p(k(w)).\nAnswer: -4332*w**4 + 456*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4109, 3\/4, 2, 1 in increasing order.\nAnswer: -4109, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 2623 = 2*v, -3*v - 360 = -r - 4338. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 4*o. Let y be (-79)\/o - (-6)\/12. Solve 3*t - 5*m = y, t + 4*m = -t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 33*x**2 - 3*x + 1. Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -176102*l**4 - 108 - 279*l**3 - 864*l**2 + 176105*l**4 + 108 = 0. Calculate l.\nAnswer: -3, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q - 24. Suppose 16 = 4*y + 4*v, y + 2*y - 4*v - 12 = 0. Let p = y - 10. Let g be b(p). Solve -j - 2*j = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/40 - r**5\/60 + r**4\/8 - r**3\/2 + 13*r**2. Let x be z(1). What is the derivative of -1 + 14 + 179*u**2 - 171*u**x wrt u?\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*q = -9, -3*y + 5*q + 18 = q. Suppose i = -y*l - 56278, -3*l + i - 44476 = 39946. Round l to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 4. Let j be o(5). Let k be (-8)\/((2\/4)\/j). Suppose 2*x = -2*x + k. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/798 and -71\/4332?\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)*(-5 - -3). Suppose 0 = -2*q - 3*v + 5, 0 = -4*q - 3*v + 10 + 3. Put 1, q, r in ascending order.\nAnswer: r, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12828 by -2.\nAnswer: -6414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 13 - 2 + 0*j**3 + (-2*j + 2*j + 8*j**2)*(2*j + 0*j - 2 - 1).\nAnswer: 14*j**3 - 24*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -1\/3*l**6 + 0*l**5 + 0 + 9*l + 0*l**4 + 4\/3*l**3 + 4*l**2. Differentiate p(n) with respect to n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -16. Suppose -2*z - 2*n + 12 = b, 39 = 5*z - z + n. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 19*w + 19. Let y be p(7). Let a = y - 41. Let u(i) = i + 12. What is u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-2)\/(-4) - 36\/216)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + i - i**2 - 3*i**2 + 2*i**2 - 29 to the form j*i**2 + m*i + b and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9207 divided by 13\nAnswer: -9207\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.4582878 and -7.3.\nAnswer: -8.7582878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296 + 367. Sort w, -4, -2, 5 in decreasing order.\nAnswer: w, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147144968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193196 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -976*v**3 + 6*v**2 + 7808*v + 71 wrt v.\nAnswer: -5856*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6591*x - 72. Let l(w) = -4394*w + 45. Give 5*b(r) + 8*l(r).\nAnswer: -2197*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-7)\/u)\/(u*u**(-1\/5)))\/(u\/u**(-2\/5))**(-1\/16))**(-47) assuming u is positive.\nAnswer: u**(32759\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17706 + 17801. What is the fifth smallest value in k, -3\/8, 2, 0, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3 - 18*i**2*j*k + 8845*i**2*k**2 + 5*i*j*k**2 - 9*i*j + 4*i*k**2 + 5*i*k + 2*j - 45*k**2 wrt i?\nAnswer: -18*i - 36*j*k + 17690*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7872 + -7879.106. Let u = o + 7.1. What is u rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1683 divided by -6\nAnswer: 561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 246157573391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68613197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and -1 - (63\/(-2) + 15\/30).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let z be (u + -1 + 3)\/2. Solve -c = -d - 0*d, 3*c = -z*d - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -26, 73 in decreasing order.\nAnswer: 73, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/11 (c) -69 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -439228?\nAnswer: -3\/219614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*t - 6 = 0, 0 = -l - 4*t + 18 - 42 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(-4*c**2 + 6*c**2 + 2*c**2) - 3*c**2 - 1 + 1.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.1 (c) -144 (d) 4 (e) -2\/11 (f) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 + -88. Let f = -238 + 351. Suppose -5*p = -4*i - f, -p - 3*i = 3*p - u. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23222428.\nAnswer: 2, 5805607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dc + -16038?\nAnswer: -15d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5106 - 380986\nAnswer: -386092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294515886 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1038)\/8823)\/(1625\/1615 + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 16*p**2 - 9*p + 41. Calculate j(-15).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose -2*o + 9 = 21. Let s(i) = -i**2 - 5*i + 6. Let u be s(o). Put -1, v, u in ascending order.\nAnswer: -1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 - 3.197451?\nAnswer: -3.250451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2. Let o(c) = -15480*c**2. Give h(o(q)).\nAnswer: -239630400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4515266 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -18, -37, -64?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/2649, 93, 19.7?\nAnswer: 2\/2649","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17912 is divided by 2221?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (64 - 58 - (15 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(8\/9)\/(t**4*t\/t**(1\/4)*t) assuming t is positive.\nAnswer: t**(-653\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3 - (-11)\/(-22). Let z = -16 + 16.4. Which is the third biggest value? (a) n (b) z (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45496 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -92\/5. Let s = 0.2 - -1.8. Let r = s + -1.9. Which is the second biggest value? (a) -3\/7 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:10 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 189 + (-3 - 4\/(-2)). Calculate the greatest common factor of 76 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12439876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 394 - 398. Let s be ((-18)\/(-5) - 3)\/29. Let f = -317\/1305 + s. Which is the closest to f? (a) 3\/2 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 18*s = -4*v + 10, 3*v - 19 = -5*s. Let o = -4 - -7. Suppose 3*j - 5*k - 40 = 6, -j - s*k - o = 0. Sort -0.1, j, -5 in increasing order.\nAnswer: -5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/6 + i**2. Let d be f(1). Find the second derivative of 4*b**d - 5*b**4 - b - b - 7*b**4 wrt b.\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14267 rounded to 3 dps?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o + 23. Let q(k) = -1 + 7 + 1 + 1 + 6*k. Let t be 1 - (0 - 2) - 6. Let x(j) = t*f(j) + 8*q(j). Differentiate x(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 16 = 5*y, -4*m + 125*y = 126*y - 54 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -8, 1, 10?\n\"Answer: 9*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**2*v**3 - 167*n**2*v**2 + 2*n**2*v + 3029*n*v**3 + n wrt n?\nAnswer: -18*v**3 - 334*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.931 - 774?\nAnswer: -775.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(98).\nAnswer: 3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 + 3*b**4 - 14 + 12 - b**2 - b**3 as n*b**4 + l + y*b**2 + z*b + o*b**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 10. Let d = -7.227 + 0.027. Let f = d - o. Which is the nearest to 1? (a) -2\/3 (b) 2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8607702m in centimeters?\nAnswer: 86.07702","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 13 = 3*h + 5*z, -h = z + 9. What is the units digit of h\/(-14) + (-645)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 649 - 549. Let t = 13 - 8. Suppose -t*m + 70 = 3*q, 3*q - 23 - 33 = 2*m. Calculate the highest common divisor of w and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 343, 318, 295, 274, 255, 238, 223?\n\"Answer: b**2 - 28*b + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4839, 4843, 4847?\n\"Answer: 4*u + 4835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 417 - 399. Let g(b) = -b - 3. Let n be g(-5). What is the highest common divisor of n and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/11 - 1208*m**2\/11 + 178730*m\/11 + 1116300\/11 = 0. Calculate m.\nAnswer: -6, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1539) - ((3*sqrt(1539))**2*6 + sqrt(1539) - sqrt(1539))) + (-2 + sqrt(1539) + sqrt(1539)*-3)*3)*3.\nAnswer: -249336 - 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*t - 2*t, 2*q = -5*t. Let f = 7 + t. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35183, -33959, -32735, -31511, -30287?\nAnswer: -29063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w + 7 + 7*w + 38*w**2 - 9. What is the hundreds digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 60. Let o(w) = w**3 - w**2 + 6. Let i be o(0). Suppose -4*f = -2 + i. Is f smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 164\/(-8))*-2. Let f = g + -22. Calculate the highest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 19186675.2 seconds?\nAnswer: 31.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 55 + (-2 + 6 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 10 = 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**3 + 19*f**2\/2 - 2*f - 637. Let k(v) = -v - 4. Let p be k(6). Is 54 a factor of d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**2 - 592 + i**2 + 5322337*i - 4*i**2 - 5323217*i.\nAnswer: 4*(i - 74)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + v + 5 = 0, 5*m + v = -12 + 31. Suppose 17 = o + u + 4*u, -3*u = -m*o - 3. Solve -4 = -2*z + o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.4 (c) -0.3 (d) 3 (e) 2206 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 2*sqrt(245))*4)**2 + (sqrt(20)*-1*6)\/sqrt(4).\nAnswer: -6*sqrt(5) + 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 12220?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 964055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -0.09. Let x = p + -0.07. Which is the third smallest value? (a) x (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1669, -3423, -5321, -7435, -9837, -12599, -15793, -19491?\n\"Answer: -12*i**3 - 1670*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 6*z**2 - z - 2. List the prime factors of u(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33020379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 25, 72, 159, 298, 501?\n\"Answer: 2*y**3 + 2*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77970 - -10993721\/141. What is the common denominator of x and 77\/188?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 + 14*g. Let a(l) = 9*l**2 + 10*l. Let p(u) = 5*u**2 + 5*u. Let k(m) = 3*a(m) - 5*p(m). Determine 8*k(z) - 3*q(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/i**(2\/5) assuming i is positive.\nAnswer: i**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 60. Let w = 791 - 711. What is the highest common factor of c and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*z + 40401 = 614*z + 3979*z + 220*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 116. Let f(s) = s**2 - 28*s - 293. Let j be f(-8). Which is the closest to -2\/7? (a) j (b) 2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/4 - 23*q**3\/2 + 95*q**2\/4 - 12*q = 0.\nAnswer: -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:52 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602 and 123532?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 16023 and -386261.\nAnswer: -370238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.01586\nAnswer: 0.006344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 193. Suppose -22*j = -18*j - h. Suppose 21*u + 48 = j*u. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/(-66) - (-3)\/(33\/262) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 5:30 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/8064 and -43\/36288?\nAnswer: 72576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -110*w + 1. Determine z(-2).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166399 or 665595\/4?\nAnswer: 166399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, d: 2, v: 2, b: 8, w: 1}. What is prob of picking 1 y and 2 b?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6*i + 2*i - 20 = 0, -3*x = 3*i - 21. Suppose 0 = 2*c + 5 - 9. What is the lowest common multiple of x and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4446 is divided by 3223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 12735*o**2 + 12740*o.\nAnswer: -5*o*(o - 2548)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - i + 4. Let k(w) = -4*w**2 - w + 3. Let n(b) = b**2 - 8*b - 4. Let y be n(8). Give y*k(a) + 3*z(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-140)\/(-18) + (-2)\/(-9). Let z be 6 + 119\/(-35) - (-90)\/(-150). Solve -3*y - 2*y = -2*f - 8, 0 = -z*y - 4*f + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y - 545 - 36*y + 545 - 58*y**2.\nAnswer: -58*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Suppose -4*x + 17 = 3*h, -3 + 2 = h - w*x. Suppose -h*j + 15 = 0, -t + 5*t - 5*j = 59. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 - -41?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = -4*c. Suppose 3*d - 2*d = c. Suppose -m + 87 = 2*a - 0*a, 2*m - d = 0. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2 - 3 - 16*q + 6*q - 17 to l + d*q and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6987*n - 6984*n + 5*b - 241, -2*n = 4*b - 192 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 85902 divided by -2\nAnswer: -42951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/9)*x)\/x*x*x*x*x**(-12)*x)\/(x**(1\/7))**16)**(-6\/25) assuming x is positive.\nAnswer: x**(1282\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 2 + 3502*j**2 - 5.\nAnswer: 3502*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - d**2 + 578 - 76 - d**3 - 147 to the form i + m*d**2 + y*d + c*d**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*n = 0, 5*m - 823*n + 5 = -820*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -10.54212?\nAnswer: -21.08424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 44. Solve 4*v = 7*v + 5*s - 4, -10 = y*v - 3*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 348 and 78653.\nAnswer: 27371244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216471991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z - 40*z = -15600. Let u = -901 - z. What is u rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-174)\/132 - (-2)\/(-11))*-2. Suppose 0 = -3*k, -2*k + v*k - 5 = -p. Does 26 divide (-156)\/p*(-10)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13921299 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*g + 52*g - 177*g - 55*g - 29815 = 0 for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/120 - 235*v**4\/12 + 2891*v**3\/6 + 4054*v**2. What is the first derivative of l(y) wrt y?\nAnswer: 3*y**2 - 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5719, 12874, 20029, 27184?\n\"Answer: 7155*h - 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*f = -261 + 274, -22 = -4*a - 2*f. Solve -a*z = 5*p + 6 + 4, 16 = -2*z + 3*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - 3 - (-9 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/1659?\nAnswer: -2\/1659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021 - -11110011221221?\nAnswer: 11110012002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8449942 is divided by 457.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6906560635 and 7.187.\nAnswer: 6906560642.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbbc when four letters picked without replacement from cacbbaabbaaabaaa?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(9*(-10)\/(-45))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -675750, -1351439, -2027128?\n\"Answer: -675689*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (3 - -1) - (13 - -3 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1352\/(-7605))\/(2*1\/(-5))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13122, 13124, 13126, 13128?\nAnswer: 13130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {y: 1, r: 2, a: 2, w: 5, o: 8}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 5*r**3 + 9*r + 190*r**2 + 7*r - 185*r**2 - r - 10*r**3 + 5*r**4.\nAnswer: 5*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2 - 2383*v + 1099*v + v**3 + 5*v**2 + 1289*v. Let z(k) = k - 1. Let q be z(-4). Determine j(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31829 + -6952. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 442 = 117. Calculate the remainder when 100 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2235893*c**4 - 1137*c**2 - 36*c + 3 wrt c.\nAnswer: 53661432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/562128 and 71\/1434?\nAnswer: 562128","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 14345 in descending order.\nAnswer: 14345, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 69\/2 - (-80271)\/5946\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3 - 36656*k**2 + 146582*k + 183240 = 0. Calculate k.\nAnswer: -1, 5, 18324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 - o**4 - 37*o**3 + 13*o**2 + 204*o - 180 = 0.\nAnswer: -5, -3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1990 divide 35947360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 540*k + 544 = 0. Calculate k.\nAnswer: -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 2*z**2 - 7*z - 14. Determine o(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10838.817 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.5. Let z = -1 + -3. Let s = z - -6. Is y at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1033.2 - 1032.2. What is the closest to v in 64, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 21*p**2 + 21*p - 14. Determine f(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-12)*(-8)\/3. Suppose 0 = 2*g + 3*o - 18, -y + 33 = 3*g + 2*o. Solve 0 = 5*i - g*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 3. Suppose 5*g - p + 26 = 0, 0 = 63*g - 59*g - 5*p + 25. Let h = 0.009 - 0.009. Which is the second smallest value? (a) h (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 45214473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 7\/4. Let r be (-3)\/((-1)\/(-1 - b)). Suppose r*l + 2*l = 35. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23468335*-0.5\nAnswer: -11734167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18849 * 10596.\nAnswer: 199724004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + 0*m + m)*(1 + 3 - 3) + 3*m - 2*m + 15*m)*(-3*m + 0*m + m) - 1 - m**2 + 1.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (-5 + 16 + -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 3 + 216*h**3.\nAnswer: 216*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10424 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/1034 = -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.502063 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303723496 a multiple of 3203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6) - 2\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 525*s. Let k(p) = -p**2. What is k(x(n))?\nAnswer: -275625*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a45179 (base 11) to base 15.\nAnswer: 6d15c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 19*b - 67. Let i be g(-22). Let a(p) = 19*p**2 - 8*p - 4. Let w(l) = l**2 - l - 1. Calculate i*a(d) + 6*w(d).\nAnswer: -13*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 5 = 5. Let a be 10\/4 - (-3)\/(-6). Suppose -3*k + 52 = 5*m + 12, a*m + k - 15 = c. Solve m*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1506700129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232823?\nAnswer: 232823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((5 - -5) + 1)*18\/99. Solve z*u + 4*q - 12 = 0, -q - 7 + 11 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248 - -247.5. Which is the nearest to -2? (a) s (b) 0.09 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-6))\/(1\/(-2)*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 13*i**2 + 10*i - 26. Let f = 31 + -43. Let p be z(f). What is the remainder when (3 - 50\/(-6))\/(p\/(-6)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -2, -2\/189, -5, -1\/2.\nAnswer: -5, -2, -1\/2, -2\/189, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrgxrhhy. Give prob of sequence ygh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.432.\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4)\/(12\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53087597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3905689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j - 10*j - 12*j + (4 + 2 - 5)*(-3*j - 5*j + 5*j) - j - j + j + (-2*j + j + 2*j)*(-3 + 0 + 2).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4782 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/(sqrt(12) + (sqrt(300)*-6 - sqrt(12))))\/(sqrt(1152)*3*-2).\nAnswer: sqrt(7)\/2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38491)\/(-16156) + 2\/(-8). Let r = 6\/577 + a. Calculate the common denominator of r and -1\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 66702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 6 - 44)*(-18*m**2 + 14*m**2 - 19*m**2) - m**2 - 3*m**2 + 2*m**2.\nAnswer: 573*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 3*v - 9*v + 2*v - v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:15 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7 (b) 88.79 (c) -3\/2 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47005747 is divided by 15668575.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = f, 3 = 2*f - 2*o + 5*o. Solve i = -f - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(-1156)*(90\/24)\/((-27)\/24)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -1\/14*i**7 + 0*i**4 + 0*i**5 + 0*i**6 + i**3 - 7*i**2 + 0*i + 0. Differentiate k(s) wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*m**3*s**2 + f*m**2*s + 584*f*m*s**2 + 8*f*m + 2*m**3*s + m**2*s wrt s.\nAnswer: -4*f*m**3 + 1168*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*n - 10 = 0, 2*n + 2 = -4*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 84.3. Which is the biggest value? (a) p (b) 5\/2 (c) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 + 24*o**3 - 8*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246020440 by 8.\nAnswer: 30752555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:38 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31990946 or 127963781\/4?\nAnswer: 31990946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 16. Sort 0, t, -4 in increasing order.\nAnswer: t, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2730*w + 60. Let m(x) = 3*x + 1. Let p(q) = 40*m(q) + u(q). Let r be p(-30). Round r to the nearest 1000.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 10 + 7 + 11*q + (2 + 2*q - 2)*(5 - 2 - 1)*(4 - 1 - 2).\nAnswer: 15*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w**3 + 4*w**2 + 37*w + 4. Let a(m) = -14*m**3 + 5*m**2 + 36*m + 5. What is 4*a(q) - 5*k(q)?\nAnswer: 4*q**3 - 41*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1407 - 2?\nAnswer: -1409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -20*f + 22. Let g(k) = 9*k - 10. What is 9*g(p) + 4*q(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bb + 4?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7930?\nAnswer: 2, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91356*h**3 + h**2 + 3*h + 14873?\nAnswer: 548136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-0.01.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.604283329 rounded to two decimal places?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.0716 meters in micrometers?\nAnswer: 344071600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**5 - 4*b + 0*b**5 - 6*b wrt b.\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 - c. Suppose -3*j + 6*p - 4*p = -18, -p - 15 = -3*j. Suppose -1 - 3 = -4*n. Let b(o) = 6*o**3 + 4*o**2 + 4*o. Give j*d(l) + n*b(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 2*g + 469 = 0. Let m = g + 64. Let a(y) = y + 1. Determine a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002862 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22102211120 (base 3) in base 15?\nAnswer: -3432c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4)*(-18)\/21. Let t be ((-5)\/(-42))\/((-3)\/(-9)). Let s = t + i. Put -2, s, -5 in ascending order.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 919429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -39, -2.95, -75\/2?\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 9*t**2. Let y be p(-9). Let g(r) = r**2 - 2*r + 9. Let c be g(y). Solve s - 2*s = -2*a + c, 2*a - 14 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3, b: 12, u: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3480)\/345 + 2\/23. Let y = d - -15. Solve 3 = -2*u + y*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from raayhr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37443 by -5.\nAnswer: -37443\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2. Let k(y) = y + 17. Let o(b) = k(b) - 4*u(b). Determine o(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**8\/28 + 43*l**5\/30 + 2*l**3\/3 + 3*l**2 - 58*l. Find the third derivative of a(x) wrt x.\nAnswer: 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 9*m + 4*p - 14, 0 = -2*m + 4*p. Find k such that -2*k**2 - 2*k + 2*k**2 - k**m = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2539 - 2104 + 7309 - 2210 - 7*y**2 to the form l*y + x + z*y**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -725*c - 190.\nAnswer: -725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247 is divided by 607?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/18)\/((-4)\/6). Let o = -3071\/9 + 341. Which is the nearest to 2? (a) o (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from slwswsmuwslwls.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -20100000?\nAnswer: 20100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 81?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 2.31.\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-4871 + 3 - 4). Suppose -b - d = l - 3*l, 3*l - 4*b = 7312. Let n = l - 1601. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 7*q - 2*q - q + 4*q - 4*q + 2*q - 6*q + q + 2*q - q - 3*q + (q + 0 + 0)*(-2 + 1 + 2) + (-2 + 0 + 0)*(5*q - q - 3*q + 1).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -434.3 - -433. What is the closest to 0 in -0.1, 0.2, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148054, -296096, -444138?\nAnswer: -592180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, e: 1}. Give prob of sequence aae.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-3)*(8\/(-12) - (-17)\/(-15)). Put m, 0, -4, -7, -9 in descending order.\nAnswer: m, 0, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3672, -3698, -3742, -3804, -3884, -3982, -4098?\nAnswer: -4232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.1. Is y bigger than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 5*r - b = 456, -5*r - 2*b = 1139. Let q = r + 502. Suppose 0 = -3*c - 2*c + q. What is the greatest common factor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 51285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12976 - 12373. What is the highest common factor of t and 2881?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/114)\/((520\/(-32))\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1800\/1800)\/((-2)\/(-124)*-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 2) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*v - 31, -v + 85*g - 87*g - 22 = 0. Let n(y) = -8*y. Suppose -3*c + 0 = -3. Let d(u) = -u. Calculate c*n(h) + v*d(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37864397, -75728799, -113593201?\nAnswer: -151457603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/9))\/(m\/(m*(m\/(m**(-7)*m))\/m*m))*((m\/(m*m\/m**0*m))\/m)**(35\/4) assuming m is positive.\nAnswer: m**(-653\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/v**29*v*v**(-1\/5))\/(v\/(((v\/v**(-2))\/v)\/v)*v)**(-37) assuming v is positive.\nAnswer: v**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -297001320 bigger than -297001319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 - 1.8261806556366\nAnswer: -1.5361806556366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54171*w + 2812 = -54097*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-9 - -11) + 1*-4. Let j(v) = -2*v. What is j(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -3\/5, 3692, -11\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 77.5 (b) 1\/6 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Suppose -2*h = -12 + 2. Solve 3*i + 8 = -x, -h*x = -j*i + 2*i + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89c (base 16) in base 10?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35117 + 0*x**3 + 2*x**3 + 35117 + 2*x**3 - 3*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = 3. Let r be (-37)\/l + 2\/(-5). Let i(f) = 11*f + 10. Is i(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1884*n + 1949*n = 455 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0548 (b) -5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (96\/(-15))\/((-11)\/4730). Suppose 4*z = z - 2*l - 2071, -4*z - 5*l = i. Round z to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 + 2*r - 2. Let d(u) = -21*u**2 - 9*u + 9. Determine -2*d(h) - 9*s(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 216197 + 8.\nAnswer: 216205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 47*k**4\/4 + 3032*k**3\/3 - 2264. What is the third derivative of q(o) wrt o?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*s = 13*s + 755 - 2367 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44664, -89327, -133990, -178653, -223316, -267979?\n\"Answer: -44663*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 383109271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 - f**3)*(-164*f + 17433 - 17433 + (2 + 0 + 0)*(f - 3*f + 0*f)).\nAnswer: 168*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*681 - (8 - 132\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r = 34*r + 29. Which is the nearest to 0? (a) -5 (b) r (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.36 + 10.35999563. Round g to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (2 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 114\/(-133)*(-14)\/6. Sort 3, h, -3, -2.\nAnswer: -3, -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2517, 3, 0, -3, 4.\nAnswer: -3, 0, 2, 3, 4, 2517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 19. Let t = i + 11. Solve -2*g + 0 + t = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (0 + sqrt(2448) - sqrt(2448))**2)*-1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 3*c. Let n be s(-3). Let i(l) = -l**2 - 3*l. Let a be i(-3). Let k = a - n. Solve -4 + k = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/5)\/3)\/(12\/75)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20288.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y - 4*r, 31 - 13 = 3*y + 3*r. Suppose 0 = 5*o + 5*x, 3*x + 12 = -0. Solve -y*c + a = -15, 3*c - o*a - 1 = -6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-21) + -2 + (-108)\/(-14). Let x(k) = k - 3. Let w be x(5). Let o = -31 - -31. Solve o*m = -3*s - 5*m + 2, 4*m - j = w*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -47427 minus 8.352?\nAnswer: -47435.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjb when three letters picked without replacement from {n: 5, b: 2, j: 7}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 5520924?\nAnswer: 5520924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 296*r - 27962. Determine j(91).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23812 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 6*g + 1. Let r be t(-7). Let n(v) = -v**3 - 7*v**2 - 7*v + 3. Let j be n(r). Suppose -p = j - 21. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, o: 4, u: 6}. What is prob of picking 2 a and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m + 65. Calculate a(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*r = 218*r - 720. Let g = -62 - r. Suppose -3*c - c = -280. Calculate the greatest common factor of g and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586075.8us to nanoseconds.\nAnswer: 586075800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -20*l + 10. Let a be j(-5). Suppose -a - 10 = -5*b. Solve -b = 5*q + 4*k, 3*q + 4*k + 6 = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/69 + 1*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-622 + 613)*(-1 - -3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15242 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/60 - 5*j**4\/12 + 25*j**2 + 4*j. Let r(t) = t. What is r(n(o))?\nAnswer: o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2 + k + 2. Let i(y) = -7*y**2 - y - 2. Let o = 13 - 18. Determine o*j(a) - 6*i(a).\nAnswer: 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-29 - -69) - -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*g = 3*l - 526*g + 74, -9*l - 118 = 5*g for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36854*x - 36741*x + 73616*x.\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 16) to base 10\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 - -210. Suppose 0 = 2*j - 24 - l. Suppose 3*k = -11 + 155. Calculate the remainder when k is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b - 3*h - 63, -5*b = 2*h - 112. Calculate the remainder when b is divided by (-10)\/(-2) - 8\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 5. Suppose 11 - 32 = -j*r. Let g = 18 - r. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21784*i**3 + 125*i**2 + 53312*i - 37 wrt i.\nAnswer: -130704*i + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20 and -1\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*a*b - 136*a + b wrt b?\nAnswer: -28*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18170373?\nAnswer: 3, 13, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3 - 7. Suppose 0 = -k*b - 6*b + 1540. Calculate the greatest common factor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 67 = -3*j, 2 = -2*j + 4. Let z = -11 - g. Suppose 0 = t + t + 3*m + 3, 3 = t - z*m. Solve 2*w - 3*w = n, n - 4 = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*j + 36*j - 60 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 7. Let f(m) = -14*m**2 - 5*m - 5. Let r(i) = 16*i**2 + 6*i + 6. Let z(h) = -6*f(h) - 5*r(h). Calculate c(z(s)).\nAnswer: 80*s**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*n**5 - 62*n**5 - 39*n**5 + 0*n**5 + 4*n**5 - n**5 + (-6*n + 2*n + 3*n)*(-4*n**4 + 3*n**4 + 3*n**4).\nAnswer: 79*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -333, -292, -249?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1983*y - 1079*y + 2622*y + 5 - 5 - y + (-3 - 2 + 6)*(y + 3*y - 2*y) + (y - 5*y + 3*y)*(5 - 4 - 2).\nAnswer: 3528*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 24. Let v(u) = -u**2 - 43*u - 353. Let y be v(-11). Sort y, -5, 2, j in descending order.\nAnswer: 2, y, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 33. Which is the second smallest value? (a) -0.4 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -507*a**5\/5 + 26*a**4 - 8*a**3\/3 - 93*a**2. What is i in g(i) = 0?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -727127102 minus 41.76?\nAnswer: -727127143.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 101?\nAnswer: 100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11296*h + 33881. Determine a(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17225 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:16 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606105 is divided by 401522.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dge when three letters picked without replacement from {j: 2, g: 4, d: 5, e: 4}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9371241 days in microseconds?\nAnswer: 80967522240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9632588753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - 0.6. Which is the second smallest value? (a) v (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2064146*u**4 + 30777?\nAnswer: -8256584*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 97962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 66147 divided by 5?\nAnswer: 66147\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 29*o + 28*o = -1722. Calculate the least common multiple of 123 and o.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162821 divided by 1.\nAnswer: 162821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31311031 (base 5) to base 8\nAnswer: -774055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 1:45 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431911398 to the power of 1\/4, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6*f + 26 = -5*a, 0 = -5*a - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82607 and 0.2.\nAnswer: 82607.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 4*m + 19*m**3 - m.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (25 + -20 - (20 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4068095 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:51 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 7*p**4\/5 + 267*p**3\/5 - 6507*p**2\/5 - 187*p = 0.\nAnswer: -55, -1\/7, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/2)*j*j)\/(j\/(j**(3\/2)\/j)))**27*(j**0\/j)\/j**6*j**(-2)\/j**1 assuming j is positive.\nAnswer: j**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k = 0. Suppose -5*g - 2*s + 273 = k, g - 3*s - 55 - 3 = 0. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**2 + 5*v - 1. Suppose 2*h + 13 = 4*k - 9, 0 = 5*k - h - 29. Let r(o) = 10*o**2 - 6*o + 1. Determine k*x(u) + 5*r(u).\nAnswer: -10*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1840.993676 - 1841. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 556 + -560 - (1 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11401261 to the nearest 100000.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-630)*-9)\/(6\/18).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2437, 9699, 21787, 38695, 60417, 86947?\nAnswer: 118279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/239, 0.2, 5, -2 in ascending order.\nAnswer: -2, -50\/239, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + i - 26, 2*a + 3 + 1 = -4*i. Let u(q) = -q**2 - 1798*q + 23551. What is the remainder when u(13) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.2 + 70. Suppose -1 = y - 0. Let d be (-8)\/10*1\/2. Which is the nearest to y? (a) d (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799102.415 rounded to the nearest 1000?\nAnswer: 2799000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*n - 5122 - 428 = 0 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 940 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqkqcoc. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4)*(1 + -1). Suppose j + 39 = 3*j + b, -j - 3*b + 7 = l. Solve 0*z + 14 = -5*z + g, 5*g - j = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -506, -584, -650, -698, -722, -716, -674?\n\"Answer: w**3 - 85*w - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -127, -132, -141, -154?\n\"Answer: -2*a**2 + a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + i**3 - 5*i**3 + (i**2 + 2*i**2 - 2*i**2)*(19*i - 160 + 160).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + t - 39 - 8, 0 = 2*y + 4*t - 38. Let a = 26 + -6. Solve a*i - 10 = y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*z + 2*z. Which is the closest to z? (a) 2\/3 (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6806219*m - 3403092*m - 3403138*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-11)\/(-220))\/((-1*15)\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770 = -45*m - 429 + 559 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 538987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 64520 divided by -1\nAnswer: -64520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -22 - 23. Solve 6*u - y = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/270)\/(4\/(-15)))\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.49 + -1.41. What is the biggest value in 2\/7, a, 3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7046.5511 rounded to 0 decimal places?\nAnswer: 7047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3996400 and 4032450.\nAnswer: 3129181200","meta":{"dup_signals":{},"source":"numbers__lcm_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: b\"What is the oth term of -1033501, -2067001, -3100499, -4133995, -5167489?\n\"Answer: o**2 - 1033503*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l. Let t(h) = 4*h**2 + 11*h - 5. Let r(z) = t(z) + 6*x(z). Let a(j) = j**2 - 2*j + 2. What is -5*a(n) - 2*r(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/97, -100, -4?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = -3*q, 3 = -5*q + 8*q. Let s be (i\/15)\/((-2)\/10). Solve -2*h = -h + s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/(10\/3 + -3). Suppose p*y - 12 = 6. Solve 2*r + 3 = y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v - 20. Let a be (v\/(-20))\/(1\/20). Suppose -c + 242 = 4*t - 3*c, a*t + 3*c - 297 = 0. What is the highest common factor of 90 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + -2 - ((sqrt(3) - sqrt(3)*2) + 5)) + (sqrt(48) + sqrt(3) + -2)**2 + sqrt(75) + -1 + -4)*-6.\nAnswer: -402 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 3*l + 8. Let o(s) = -11*s**2 - 8*s + 23. Suppose 0 = 31*z - 299 + 51. Calculate z*q(p) - 3*o(p).\nAnswer: p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2 - 35*l + 2 + 6*l - 34*l. Suppose -5*i - 25 - 35 = 0. Let d be x(i). What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 22. Let v be -6*-1*(-3)\/6. Let n = 0 - v. Solve -3*d - c - 17 = -n*c, c = -2*d - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2355 - -8666?\nAnswer: 8659.7645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.1 - 0.1. Let n be (0 + 12\/(-24))\/((-2)\/5). Sort n, t, -5 in descending order.\nAnswer: t, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2760*b + 12528*b**2 + 5522*b + 3936*b**2 - 2762*b)*(1 + 1 - 1) in the form c + h*b**2 + r*b and give h.\nAnswer: 16464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 1120*f - 90045. Calculate l(-68).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 11. Suppose -2*c = 2*c - 2*w + 14, g*c + 3*w = 3. Calculate the remainder when (c - 0 - -2) + 18 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 68*r + 31*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-2898)\/12)*-2 - 0. Let a = -447 + b. Solve -20*w = -a*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/s*s\/(((((s\/(s*s**(15\/7)))\/s)\/s)\/s)\/s))\/(s**(-1\/19)\/s**11) assuming s is positive.\nAnswer: s**(6728\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51142069 divided by -557.\nAnswer: -91817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97994.\nAnswer: 2, 13, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 22*b - 19*b - 17 = 0, -4*m - 3*b = 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58631 is divided by 1196?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 5)*(-2 + 2 - c) - 6440*c + 3340*c + 3672*c to a*c + q and give a.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c**4 - 10*c**3 - 120*c**2 + 12*c - 3. Let q(i) = 95*i**4 - 70*i**3 - 840*i**2 + 80*i - 20. Let b(n) = 3*q(n) - 20*r(n). Solve b(k) = 0.\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 4:02 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-6 - (-17 + 7)) - 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 256? (a) -789 (b) 0.3 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108944026 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1735\/5999 - 3\/857. Let d be (-2)\/(-3)*3\/19. Put 5, 1, q, d in increasing order.\nAnswer: d, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4140 and 3312.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2004?\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4116757591 and 7.8.\nAnswer: 4116757598.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*r + 21. Suppose -3*g - 5*z + 130 = 41, -4*g - 4*z + 132 = 0. Calculate the remainder when g is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let v be 17\/(170\/40) - 5\/3. Which is the closest to v? (a) l (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 0, 31 = 5*x - 3*m - 26. Let c(y) be the third derivative of -y**4\/4 + y**2. What is the smallest common multiple of c(-1) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3047\/2034 + -2\/1017. What is the biggest value in 1\/7, -4, 2\/7, -18\/17, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 354 = -18*c + 276. Calculate the smallest common multiple of c and 29.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, 15, -0.15, 2\/7 in increasing order.\nAnswer: -5, -2\/3, -0.15, 2\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 1 = 0, a - 35 = -f - 28 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 8*l + 14. Let k be u(5). Let d be (-1)\/k + (-3 - -6). Solve -d*m = x - 9, 3*m - 2*x = -2 - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -14469.\nAnswer: 100\/14469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 25*k**2 + 64*k - 31. Let o(t) = 1 - 37*t**2 - 9 - 28 + 97*t - 11 - 5*t**3. Let n(w) = 8*f(w) - 5*o(w). Suppose n(j) = 0. What is j?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105*792\/(-4620))\/((-9)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*g + 59. Let j be 250\/g + (-4)\/(-6). Calculate the highest common factor of j and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 3*q - 4. Let n be g(3). Let d be n\/(-18) + 70\/9. Suppose v = d + 6. Calculate the remainder when 39 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 196, 237, 292, 361?\n\"Answer: 7*y**2 + 20*y + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a8 + 1b?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7*i + 4)*(-279*i**3 + 1163 - 2*i - 172 + 283*i**3) to b*i**4 + h*i + p*i**3 + u + z*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275396 + 1419281 - 245824 = 21*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -881 + 880.6. What is the nearest to 0.2 in 0.12, k, 1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(-1)\/2 - (-9753)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**5 - 359*t**4 - t**3 - 2010*t - 2 wrt t.\nAnswer: -140*t**3 - 4308*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 619881*q**2 + 153284.\nAnswer: 1239762*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:05 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 120.8. Round t to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440 divided by -16.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**7)**1 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 641 - 322. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2986000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 946*j**3 + 84.\nAnswer: 946*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1524 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 1557 + 1655 = 0. Solve 26*u - r = 36 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 43 = -12. Let n(w) = -w + f*w**3 - 5*w**3 + 2*w**2 - 7*w**3. Suppose 0 = 7*i - 23*i + 16. Determine n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -468.4 times 11\nAnswer: -5152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40810?\nAnswer: 2, 5, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377285, 754571, 1131857?\nAnswer: 1509143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m + 8 = 0. Let x be -1*1*(-3 - -4). Suppose -10*a - 35 = -5*a + y, -17 = 2*a + y. Sort a, 0, m, x in increasing order.\nAnswer: a, x, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 22*s + 15. Let j be -843 + (4 + 1)*(-3)\/s. Is 1\/(-5) - (-2 - j\/(-30)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1278 + 1300 - (3 - -1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 16 + -72 + 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 - 154. Put c, 2, -10 in increasing order.\nAnswer: -10, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48047, 48037, 48025, 48011, 47995, 47977?\nAnswer: 47957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56439.\nAnswer: 3, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, d: 1, t: 5, j: 1, g: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41233 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = -3*n + 4, 5*n + 5*f = 0. Let h(y) be the first derivative of y**4\/2 + y**3 - 3*y**2\/2 + y - 1. Is h(n) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 + z**2 + 5*z - 4. Let u(o) = 2*o**3 - 2*o**2 - 2*o + 4. Give 2*t(v) + 2*u(v).\nAnswer: 18*v**3 - 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50*(-1 - 14\/(-10)). Suppose 3*f = 7*f - z, -3*l - 3*f + 33 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 22*s - 7. Calculate the least common multiple of 47 - 7\/((-7)\/(-2)) and m(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 25*s**2 - 817*s + 3284. What is i(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 37 = i. Solve -6*s - 14 = -i*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 292836, 292836, 292834, 292830?\n\"Answer: -i**2 + 3*i + 292834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6608 greater than 0.135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 688 = 4*z + 4*f, 5*z + 4*f + 863 = 0. Calculate the common denominator of 5\/9 and (-70)\/z*(-10)\/(-54).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3 - (-7 + 12\/4)). Suppose 0 = -y*h - 3*h - 4*g + 4, -2*g = -4*h - 2. Solve -4*r + 16 = 4*v, 5*r + h*r - 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233435?\nAnswer: 5, 46687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -4 (b) -9 (c) -0.444 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 579, -4 in descending order.\nAnswer: 579, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 9*o**2 - o - 11. Let y be m(9). Suppose -3*w + 16 = 4, 2*w = 3*g + 68. Let n = g - y. Solve 3*f + f = n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and 720.\nAnswer: 273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/10 - (-22)\/(-4). Sort 4, y, 0, 3.\nAnswer: y, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**2 - t + 4. Let a(s) = 9*s**2 + s - 5. Calculate 5*a(i) + 6*p(i).\nAnswer: -3*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f**2 + 2*f + 11. Let j(k) = 61*k**2 - 9*k - 45. Let x(n) = -9*h(n) - 2*j(n). Find the first derivative of x(c) wrt c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24102569?\nAnswer: 24102569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 257.\nAnswer: 100744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 62*b - 10*b.\nAnswer: -74*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 1\/3 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + 5*i**2)*(33*i**3 + 40*i**2 - 40*i**2).\nAnswer: 165*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24669813?\nAnswer: 3, 7, 107, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 = -68*f + 16*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -635*u**9\/504 - 191*u**5\/30 + u**3\/6 + 2062*u**2. What is the third derivative of l(m) wrt m?\nAnswer: -76200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9561200 to the nearest ten thousand.\nAnswer: -9560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:41 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -1\/4*j**2 - 7\/4*j - 3\/2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(55)\/sqrt(5) + 2 + -4 + 2*sqrt(11) - ((sqrt(110) + (sqrt(110) - (1*sqrt(110) - sqrt(110))) + sqrt(110) + sqrt(110))\/sqrt(10) + sqrt(539)*2)).\nAnswer: -15*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000101011 - 11010?\nAnswer: -100001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k - 4. Let y be n(4). Suppose 107 = 3*g - 136. Let u = y + g. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -7. Let u be 0 + 4 + t\/(-1). Find the third derivative of 2*h**2 - 3*h + 3*h + 2*h**u wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3221, 6440, 9659?\nAnswer: 12878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*y + 18*y + 5458 - 6886 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24598 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45951 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5908048 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q + 1883 - 1862 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/56) - (12 - 12). Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 1 + -4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 12) in base 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -0.2 (c) -12936\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**3 + 20*f**3 + 15*f**2 - 4*f**3 - 4*f**3 + 20 - 12*f**3 as m*f**3 + h*f**2 + i*f + q and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15142*p**2 - 15142*p**2 - 7611947*p**3.\nAnswer: -7611947*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 - 7*j + 6. Let z(s) = -8*s**2 + 3*s - 5. Let w(v) = -6*v + 7*v + 4*v - 10 - 16*v**2. Let b(k) = 3*w(k) - 7*z(k). Determine 7*b(a) - 6*h(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 2902795990?\nAnswer: 2902795984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 10\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18050 (base 9) to base 16.\nAnswer: -3096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/4, -1\/2, 50, -3 in ascending order.\nAnswer: -3, -1\/2, 0.3, 3\/4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 169209820 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -30, 3, -1 in decreasing order.\nAnswer: 3, -1, -2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 52 = 7*g - 2*g, -4*g + 48 = 4*r. Let b(q) = q**2 + 4*q + 4. Let c be b(-2). Let i = c - -3. What is the remainder when g is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 4*s - 1. Let w be q(4). Let l = -14165\/13 + 1089. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(1\/(-150))\/(25\/(-75)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41)\/(-7) - 10\/(-70). Let c(w) = w - 12. Let p be c(r). Let s(h) = -h**3 - 4*h**2 + 5*h - 10. What is the units digit of s(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23128\/2240*6\/175 - (-4)\/(-10) and -149\/240.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2855644, -2855911, -2856180, -2856451, -2856724, -2856999?\n\"Answer: -c**2 - 264*c - 2855379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.9087 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + d, 4*g - d + 16 = 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41844297136\/9301 + 4498903. Let i = 1\/131 + k. Which is the smallest value? (a) i (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 237427, 237586, 237745?\n\"Answer: 159*k + 237268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a3b - -bb?\nAnswer: 1b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1927275 by -25.\nAnswer: 77091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/4 - p**3\/6 - 8*p**2. Let z = -2 - -4. What is the remainder when 21 is divided by n(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 149 + 35. Let z(p) = -n + p**2 + 22 - 5*p + 16. Suppose -2 = l - 2*w, 4 = 3*l - l - 2*w. What is z(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i**2 - i**2 + 662*i - 544*i - 9. Let c(l) = -2*l. Determine a(c(t)).\nAnswer: 4*t + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17882*u**3 - 7*u**2 + 295770?\nAnswer: 53646*u**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjvvxvjkljjv. Give prob of picking 1 h and 1 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18212 is divided by 2571.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1, 54, -3 in decreasing order.\nAnswer: 54, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -642.2 - 40.8. Let f = q - -682.6. Put 0.21, 1, 5, f in decreasing order.\nAnswer: 5, 1, 0.21, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-3 + -4) + 735?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2133132 - 1021100?\nAnswer: -3220232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 (base 9) in base 16?\nAnswer: 1f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**3 - 24*l**2 + 10*l + 35. Let w be c(-5). Solve w*j + 12 = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64, -236, -516, -898, -1376, -1944, -2596?\n\"Answer: q**3 - 60*q**2 + q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -14, 3\/7, -0.0801?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67012 and -4?\nAnswer: 67016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 36*x**2 - 30*x - 240. Let v be a(37). Solve v*l - 5*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8084, -8082, -8078, -8072, -8064?\nAnswer: -8054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-14))\/(12\/(-14)). Let s = -3576 - -3572. Which is the nearest to v? (a) 1\/6 (b) 4\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 102*s + 2558. Let g be x(-25). Which is the nearest to -1? (a) g (b) 2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 21 = x, 40 = -x + 2*v + 51 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 + 2. Let h be k(-6). Suppose -f = h*f + 12. Let t be 221\/2 - f\/(-8). What is t rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 2\/3, 0.7, 5, -187\/2, 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21)**(-1\/8) assuming w is positive.\nAnswer: w**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -2\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*((-551)\/247)\/(-29).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:56 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 6*x**4 + 2*x**4 + (-5*x**3 + 2*x**3 + 6*x**3)*(x + x + 2*x).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102 divided by 114254?\nAnswer: -793\/8161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/31302802 and -34\/335.\nAnswer: 156514010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:08 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.97 + -0.03. Let q = 4.6 + -4.8. Which is the biggest value? (a) h (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559329310 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*((-4)\/4 - 0). Let s(d) = 3*d + 1. Let q(b) = -2*b. Let p(t) = g*q(t) + 4*s(t). Let z = 6 - 3. Give p(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64599 or 64600?\nAnswer: 64599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-6 + 6) + 6. Solve y = -2*y + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1637 - -19663\/12. Let f = 9\/4 - d. Solve 0 - 4\/3*u + f*u**2 = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*n + 78*n - 343. Let l = -24 + 26. Solve -10 = -n*x + l*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39224, 39228, 39232, 39236?\nAnswer: 39240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 - 3*h - 62. Is q(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1180\/680 + 112\/(-476)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**3 - 9*h**2 - 5*h - 9. Let p be (-2*(-2)\/(-6))\/(9\/27). Let l(a) = -3*a**3 + 2*a**2 + a + 2. What is p*w(r) - 9*l(r)?\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 not equal to 61765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l - 6*l - 12*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1374.1 + -768174.\nAnswer: -769548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 3, n: 5, y: 2}. Give prob of picking 1 e and 2 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**3 + 7*f**2 - 13 - f**3 - 7*f - 5*f**3 + 6*f**3 + f**3. Let d(j) = -3*j**3 + 4*j**2 - 4*j - 6. Calculate -7*d(m) + 4*h(m).\nAnswer: m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 327 = -16*n + 19*n, -5*m + 3*n - 545 = 0. Let c = m + 152. Does 43 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7010, 14005, 20996, 27983, 34966, 41945, 48920?\nAnswer: 55891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h. Let k(t) be the second derivative of -t**7\/1260 - 3*t**4\/4 - 8*t. Let b(g) be the third derivative of k(g). Give r(b(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359.13 + 77.13. What is the biggest value in 0.5, 16, g?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -49*m**3 + m. Let s be h(1). Let r = s + 90. 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: What is prob of sequence zwno when four letters picked without replacement from zqnofwnw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -34, -51, -68, -85?\n\"Answer: -17*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**2 - 890*i - 253. What is the remainder when 815 is divided by w(-148)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/63916 and 7\/3364.\nAnswer: 63916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 20*a + 16*a - 406 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 - 572. Put 5, d, 4, -3 in descending order.\nAnswer: 5, 4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 11*z**2 + 3*z - 8. Let u = -6 - -17. What is the tens digit of w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*l - 20451 + 20452, -o + 5 = -4*l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6)*k\/(k**1*k))\/(k**(-1)*k**(-2\/11)))\/((k**0)**(14\/5)*(k*k\/(k*k\/k**(-2\/5)))**(-5)) assuming k is positive.\nAnswer: k**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 65*l + 43. What is the hundreds digit of (-2 - 213)*(-2)\/(1 - l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2563163 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33774, 34639, 35504, 36369?\n\"Answer: 865*l + 32909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, e: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28028, -55529, -83030, -110531, -138032?\nAnswer: -165533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/2))**6\/((o\/o**(-8))\/(o\/o**(-1\/5))))**(3\/11) assuming o is positive.\nAnswer: o**(-252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 5412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/7 or 27\/1480?\nAnswer: 27\/1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.05, -0.1, 3, -0.17?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0) + (-41 - -68). Suppose 0 = -k*v + 20*v + 8980. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from ksswswewpewkkwewewsk.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -951714, -951716, -951718, -951720, -951722, -951724?\n\"Answer: -2*v - 951712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*j + 154 = 58*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:56 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 710 + 53*u**4 - 359 - 368 wrt u.\nAnswer: 212*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*k**6*k*k**(-6)*k*k**(-6)*k assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19950 divided by -3325?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 6, -20, -66, -138?\n\"Answer: -k**3 - k**2 - 2*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13294989 less than or equal to 13294992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/12 (c) 806 (d) -621\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.1497102 to one decimal place.\nAnswer: -125.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -418*o - 409*o - 64*o + 8019 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from wwwii.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, -91 in increasing order.\nAnswer: -91, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202 + -172. Find y, given that -956*y**2 + 479*y**2 + 16*y + 475*y**2 - d = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 5*v + 8*v)*(0 - 2 + 3 + (2 - 1 + 0)*(-1 + 1 - 1) - 1 + 0 + 0).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 451310 - 453343.872. Let n = 2004 + d. Let t = n + 30. What is t rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**12\/(s**1\/s*(s\/(s**(-1\/9)\/s)*s)\/s))**47 assuming s is positive.\nAnswer: s**(4183\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77879034 is divided by 25959677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50642179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96455*h = -96452*h + 2*u + 20, -18 = 4*h + 2*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17425, 17592, 17871, 18262, 18765, 19380, 20107?\n\"Answer: 56*s**2 - s + 17370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 3*s**3)*(-s**2 + 3 - 3) + (1 - 1 - 2*s)*(5*s**4 - 5*s**3 + 5*s**3).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926563371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*m**3\/2 - 35*m**2 - 38*m - 4.\nAnswer: -(m + 2)**2*(17*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -3*u + 4*f, -3*u - u + 89 = -f. Let a be 1\/(((-12)\/u)\/4)*1. Let l(j) = 3*j + 22. Let b be l(-11). Is b less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 478014*l - 57124346049.\nAnswer: -(l + 239007)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45824 = -25*u - 44*u - 42305 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {o: 2, t: 1, l: 5, z: 1, u: 3, f: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(1 + -2)*1. Suppose 0 = -a - o*a + 56. Let f = a + -6. What is the smallest common multiple of 22 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/((sqrt(44)*2)\/sqrt(4)))\/((sqrt(5) - -1*sqrt(80))*-2).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81479645*h**4 - 573088*h - 245?\nAnswer: 977755740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27892480 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -374*k + 10072. What is a(27)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20*(p\/(p**(-1\/6)\/p))\/p)\/(p**(-15\/7)*p**(-10\/3)*p))**(-25\/6) assuming p is positive.\nAnswer: p**(-8975\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - -83 - (-9 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3 - 6 + 4*o**2 + 3. Let w(h) be the third derivative of 0*h**3 + 0*h + 0 - 1\/24*h**4 - 5*h**2. What is c(w(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*z - 177*a + 53*z - 4 with respect to z.\nAnswer: 3*a + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:50 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 7) to base 11.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10387 is divided by 52?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-19 + 10 - -3) - (-9 - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-21)\/(-210))\/(15\/(-10))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -181. Let b be 2 - w - (5 + -3). Suppose -2*h = -3*h + 18. What is the greatest common divisor of h and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 17 = 3*m + 4*j, -5*m = -2*j + 13. Let y(v) = -v - 4*v - 3 - 1. Let k(z) = 0*z - 3*z + 2*z - 1 + 0*z. What is m*y(p) + 3*k(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (-5 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2166, 8733, 19706, 35091, 54894?\nAnswer: 79121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/312 and -68\/9.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -48*q + 2. Let h be s(-2). Suppose 9*p = 118 + h. Calculate the remainder when p is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1584)\/1386*(-441)\/(-12).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-3\/11))\/s)\/(s**(1\/4)*s*s))**34 assuming s is positive.\nAnswer: s**(-1479\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8023*t - 9. Let p(o) = 20048*o - 22. Determine -5*p(n) + 12*w(n).\nAnswer: -3964*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37748727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -60, -137, -254, -417, -632, -905, -1242?\n\"Answer: -f**3 - 11*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1 + 0 + 3. Let j be b\/(-25) - 278\/10. Let h = j + 50. Calculate the greatest common divisor of 55 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.84 and 1177.\nAnswer: -988.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6895371 divided by 21?\nAnswer: -328351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9416825?\nAnswer: 5, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/40 - k**5\/20 - k**4\/8 - k**3\/2 - 702*k**2. Let h(b) = 3*b**3 + 2*b**2 + 2*b + 2. Determine -3*h(r) - 2*l(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/37975934 and 13\/3.\nAnswer: 113927802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*a + 8*a - 2*a)*(3 - 2 - 2) - 3*a - 8*a - 6*a in the form g*a + n and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhttttiihtt. What is prob of sequence nhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 558*c**2 - 556*c**2 + 1153*c - 634*c + (2 + 3 - 7)*(4*c**2 - 2*c**2 + 0*c**2) to g*c**2 + w + q*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthhhhhhhthtthhhtt. What is prob of picking 2 h and 1 t?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/(6\/((-24)\/(-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3652 = 8*w + 6*w - 3722. Solve -w*q = -5*t - 45, 4*t = 10*q - 14*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c + 2*g, -c - 28 = -2*g - 25. Solve 2*v + 3*v - 2*m + 10 = 0, -4*v + 3*m - c = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 = -3*y + y, 0 = -4*y - 2*o - 10. Let u(w) be the second derivative of 27*w + 1\/36*w**3 + y + 1\/2*w**2 - 1\/12*w**4 - 1\/120*w**5. Factor u(a).\nAnswer: -(a - 1)*(a + 1)*(a + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - (-11 + -15))\/((-15)\/(-18)). Solve -1908*w - k = -1901*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v**3 + 15*v**2 - 7*v - 304. Let x(b) = -9*b**3 + 9*b**2 - 4*b - 149. Determine 4*d(l) - 7*x(l).\nAnswer: -5*l**3 - 3*l**2 - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goggwgwggoggoooogg. Give prob of sequence oww.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1895 = 6*k. Let q = k - 230. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39456361 is divided by 7891270?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25427.09mg in grams?\nAnswer: 25.42709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35 - (-3 - 7))*(-17 - 1). Let g = -294 + v. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -410?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-5) - (-2)\/5. Let d = c + 21. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*s - 58, 5*s = -22*l + 79 + 8 + 97 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {g: 1, z: 3, k: 4, d: 2, i: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a430 + -29?\nAnswer: -a459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 608477*l**3 + 1073470*l wrt l.\nAnswer: 3650862*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (41 + -2) - (515 - 630).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3378231, -3378217, -3378203, -3378189?\n\"Answer: 14*m - 3378245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221022010221 (base 4) to base 11.\nAnswer: 60aa069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:54 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 - 9*d**2 - d + 3. Let r(i) = 3*i**3 - 8*i**2 - i + 3. Let f(x) = 2*p(x) - 3*r(x). Let m be f(6). Sort m, 5, 1 in descending order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 53*g**2 + 131*g + 229. Is m(-71) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 28 + 0)*(-l**2 + l**2 - 2*l**2) in the form d*l**2 + g*l + k and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 16. Let q = 0 + p. Suppose -q - 2 = -2*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32993 to the nearest one hundred.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/35 - 226\/(-7). Suppose -12 = -4*w + h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**5 + 4695*b**4 + 99910*b**3 - 878750*b**2 + 1438965*b - 664825 = 0.\nAnswer: -917, -29, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + n = -n - 414, 0 = -2*x - 2*n - 274. Let o = 139 + x. Let s be ((-2)\/(-3))\/((-4)\/(-54)). Sort s, o, 5 in descending order.\nAnswer: s, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as -9674472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(140\/24)*264\/792?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 - 19*s. Let o(g) = 14*g**2 - 15*g**2 - 42*g**3 - 55*g**3 + 96*g**3. Calculate 3*o(y) + q(y).\nAnswer: -2*y**3 - 19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**3 + n**2. Let x be h(-1). Suppose 554 = x*u + 5*g + 49, 0 = 3*u - 5*g - 271. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t**2 + 3*t)*(-12*t + 0*t + 59*t)*(-796*t**2 + 7 + 792*t**2 - 2).\nAnswer: -564*t**5 + 705*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 842994 and 6497928?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -12. Suppose s*x - 7 = -4, f - 3*x - 29 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210200221020 (base 3) to base 13.\nAnswer: 277416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-65)\/(-10) - 5\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -149*v + 1016. Let c be x(-31). Calculate the highest common divisor of 115 and c.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6953 (base 12) to base 15.\nAnswer: 4b0d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 11*g**6\/30 - 17*g**4\/24 - g**2 - 24. Let t(n) be the second derivative of w(n). What is the second derivative of t(y) wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -34*o - 10. Let i be j(-9). Let a = i - 260. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-4 - -2). Suppose 6 - 18 = -n*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3 + 333264*n**2 + 3999482*n - 4332744 = 0?\nAnswer: -13, 1, 166644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - 6739\/(-46). Suppose -3*p + 3*t = o, 0*t = 2*p + 5*t + 63. Let m be p\/110 - (-34)\/10. Solve 4*k + 1 = -m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 3*g + 2*g)*(-5*g - g + 4*g) + 11*g**2 + 0*g**2 - 2*g**2)*((0 + 0 + 2)*(-4*g + 4 - 4) + (-5 + 2 + 1)*(-5*g + 2*g + 4*g)).\nAnswer: -110*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-5 - (3 + -9))) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -10*k - 3. Suppose 4*f - 18 = -k*m, -7*f + 4*f + 11 = m. Suppose -f = 2*z - 3*z. Solve z = -h, -5*u - 4*h - 40 = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13432943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -8, -8313 in descending order.\nAnswer: 4, -3, -8, -8313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (36 + 7)) + (105 - 87)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*l - 0 + 5, 4*h - l + 25 = 0. Is -17\/3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Let f = 5 - n. Suppose 3 = f*c - 15. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 15617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -239, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-684)\/304 - (-36)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-34))\/((-3)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7058 - 7058. Solve x - 8\/21*f - 2\/21*f**4 + 8\/21*f**3 + 2\/21*f**2 = 0 for f.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + g**4 + 3*g**4)*(506*g - 741*g + 345*g)*(1 + 3 - 3).\nAnswer: 110*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8, 28*r - 31*r - 382612 = -2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28e740 (base 15) in base 12?\nAnswer: -7b16a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-370)\/(-300)*(-315)\/42.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 - 481 + 968 + 8*j**2 - 18*j**2 - 25*j**2 - 487.\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(100*y - 192*y + 162*y)*(y**4 + 4*y**4 - 3*y**4 + (2 - 2*y - 2)*(-2*y**3 - 2*y + 2*y) - 3*y**4 + 6*y**4 - 2*y**4 + y + 2*y**4 - y).\nAnswer: 1890*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*u - 32 = -306*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + (-66 - (-52 + 47))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774702449 to the power of 1\/3, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 20 = 4*i, -4*d = -2*i - 2*d + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11202821 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.149494nm to kilometers.\nAnswer: 0.000000000004149494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - 21. Let j = -5 + n. What is the tens digit of (-13)\/(0 + j + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -2 - (-4 + 2). Let r = 735 + -631. Suppose w - r = 3*c - f, w - 5*c - 92 = 0. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/4)*j**(-6))\/(j**5*j**6) assuming j is positive.\nAnswer: j**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 not equal to 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (-1 - 3) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18*((-2)\/40 - 1\/(-4)). Which is the nearest to t? (a) -5 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:31 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/12 - q**2. Let x be (-1123)\/(-2) + (-6)\/(-12). Let p(j) = 8*j + x - 562. What is p(c(v))?\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2128 and 856688.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 4 - 4. Suppose 0 = 2*m + 5*p - 14, -4*p = -0*m + 5*m - 18. Let n(t) = -8*t**2 + 3*t**2 + 0*t**2 + t**m. What is n(y(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 1320688142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-4 + (1 - 0). Let n be 20\/(-70) + (2 + 0)*(-1)\/14. Which is the second biggest value? (a) -5 (b) n (c) -2\/3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d**2 + d - 1. Let k be v(1). Let w = k + -17. Let b be 58 - (-8)\/4*w. Calculate the highest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. Suppose -252 = -52*x - 32*x. Let c(a) = a + 1. Let v be c(-2). Put v, x, k in increasing order.\nAnswer: v, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60*(6\/(-5))\/(-3). What are the prime factors of u*4 - (-20)\/(-10)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 61\/4 of a kilogram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1372)*1*1 - sqrt(1372)))\/((5*sqrt(32)\/sqrt(2))\/(sqrt(4) - (sqrt(4) + sqrt(36)\/(-2*sqrt(9)) + sqrt(4) + sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*h = -305*h. Solve h = 5*o - 9 - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930783760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 10*g + 32 = 0. Calculate the lowest common multiple of 19 and g.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -71) + (6 - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 - -272014495\nAnswer: 272014494.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, f: 2, e: 1}. Give prob of sequence ep.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.11 and -45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22043 = 5*t - 12*c + 9*c, -3*t + 13241 = 2*c. List the prime factors of t.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*i + 493 - 98 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23867, -23868, -23869, -23870, -23871?\n\"Answer: -j - 23866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0 - 1\/3*a**4 + 0*a**2 + 0*a**3 + 2*a. Let k(m) = 0 + m + 0. Give k(c(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9115596472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 3, t: 4}. What is prob of picking 1 d and 3 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:16 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9*g - 210 = 0. Let h = 30 - g. Suppose 5*o - 33 = -4*b, h = 3*b - 7*o + 4*o - 45. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 1848?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:49 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50930*p = 51049*p - 6664 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48597 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(12\/4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 66*y + 16. Let d be s(-13). Suppose 3*l + 34 - 37 = 0, 0 = d*t - 4*l - 599. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.28931 and -51918?\nAnswer: 51915.71069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 4}. What is prob of picking 1 c and 1 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 15. Let t be -1 - -4*h\/(-12). Which is the second smallest value? (a) 22 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 455, 450, 433, 398, 339, 250?\n\"Answer: -o**3 + 2*o + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(275) + 0 + 5)**2.\nAnswer: 50*sqrt(11) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 4*n + 3. Let w be m(4). Let r = 102 - 101.6. Let p = 1.1 + -0.1. Which is the nearest to 1\/4? (a) p (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 3*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*m - 5*m. Suppose -3*u = 4*g - 2*g - 13, -4*u + 10 = -g. Solve -m = -u*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:58 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 78 = -2*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - -18) + -86 - (3 - (-3 + 58) - -2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -93*s**3 + 13*s**2 + 6*s**2 - 13*s**2 + 60*s**3 = 0?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 7 - 24 = -7. Let k(c) be the second derivative of -c**6\/720 - c**4\/12 + c. Let q(l) be the third derivative of k(l). Give q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37711 - -0.07711. Let c = 220 + -5942\/27. Put c, p, -5 in decreasing order.\nAnswer: c, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -892 - -1509. Suppose -s = -3*z + 1855. List the prime factors of z.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 266012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 > 788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 209497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*r + 530*r**4 + r**2 - 105*r - 569*r**4 - 2*r**4 - 4*r**4 + 5*r**4 + (2*r**3 + 3*r**3 - 3*r**3)*(-1 - 2*r + 1) - 2*r**4 + 3*r**2 - 3*r**2.\nAnswer: -46*r**4 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2. Let y = -171 - -173. Let i(b) be the second derivative of -1\/3*b**3 + 0*b**2 - y*b + 0. What is s(i(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1233315855\/2 or 616657928?\nAnswer: 616657928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 130 + 185. Suppose -s = -2*m - 10, -5*s = 2*m + 2*m + 20. Suppose s*x + b = x. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = 3*t. Suppose -t*d = -3*d + 4. Find the first derivative of -p**d - 2 + 2 + 2 wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 235*k - 215 - 282. Solve -6*o + 4*u = -o + k, 2*o + 3*u - 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 2*c - 1. Let k(h) = -h**2 + 7*h + 58. Let r be k(12). Let m(u) = -3*u**2 - u. Give r*i(x) - 5*m(x).\nAnswer: 5*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 229191 divided by -4?\nAnswer: -229191\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 and 51\/798608?\nAnswer: 3993040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 26*m**2 + 8 - m + 5*m**3 + 1. Let z(h) = h**2 + 0 - 3*h**3 + 2*h**2 + 2 + 2*h**2 + 4*h**3. Let n(g) = -2*t(g) + 9*z(g). Give n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/14)\/(2\/14). Let q be 5 + 528\/(-104) + (-2)\/((-26)\/53). Solve 7*y - q*y + u = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.96 + 165279.1?\nAnswer: 165286.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2. Let d(q) = -9*q. What is p(d(n))?\nAnswer: 486*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, d: 5, m: 7}. Give prob of sequence dx.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o**4 - 1\/15*o**5 + 0 + 0*o + 0*o**3 - 4*o**2. Let q(m) = -m**2. Determine n(q(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31440 - -112443?\nAnswer: 31003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5. Suppose -6 = 4*m - 7*m. Solve m + w = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202281 divided by 67427.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(59 - 30*h - 20*h - 55).\nAnswer: -150*h + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o = -22*o - 64 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:06 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231 is divided by 8*7*-24*18\/(-216)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2211179 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 139 = -39. Let l be (76\/(-6))\/(6\/(-27)). Let s = l - d. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r**(-24)*r**(-2\/53)\/(r*r**(-26)\/r))**(3\/7) assuming r is positive.\nAnswer: r**(-165\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 30173?\nAnswer: 30173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -562237, -562086, -561833, -561472, -560997, -560402?\n\"Answer: q**3 + 45*q**2 + 9*q - 562292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 - -0.02?\nAnswer: -75.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 29*o + 624. Let v(r) = 56*r**2 + r. What is the lowest common multiple of j(-13) and v(-1)?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 3618\/315 + 0\/1. Let i = z - 31\/5. Which is greater: -40 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 + -0.05. Let n = -81 + 81.3. Suppose 4 = -4*g - 0. What is the nearest to g in f, n, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 15. Let l(m) = m - 4. Let y be l(k). Which is the nearest to y? (a) -0.5 (b) -0.4 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5\/3 + 279071*c**4\/3 + 19475875807*c**3\/3 + 266046687111*c**2 + 2283692015880*c - 9420786648900 = 0.\nAnswer: -139515, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3 + (-4 - -4) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 - -191.00283. Round c to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.81*0.56.\nAnswer: 0.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/(-20) + 1\/4. Suppose 0 = 4*s + 19 + z. Let i = -19\/3 - s. Which is the biggest value? (a) 3\/2 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/9 - (233761\/(-18) + 3))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19ac1 (base 15) to base 10.\nAnswer: -83431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29\/2 of a second?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145127*d**3 + 2*d**2 + 168*d + 1675605.\nAnswer: 435381*d**2 + 4*d + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -509 - -505. Let v be (12\/(-110))\/(k\/(-45)*9). Suppose 5*y - 2*z + 6 = 3*y, z = 4*y + 3. Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6385.658ml to litres.\nAnswer: 6.385658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15645 or -950?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:12 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*n - 160 - 2\/5*n**2.\nAnswer: -2*(n + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from matnnaamnma?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8*n - 5)*(-n + 6*n - 2*n) + n**2 + 0 + 0 + (-n + 3*n - n)*(0*n + 3*n - 2*n).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009754 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-39)*440\/1760?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 1. Let z(w) = -246*w**2 - 15*w + 83. Let m(x) = -8*i(x) - z(x). Find the second derivative of m(j) wrt j.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 - 4. Let j be q(-5). Let m be 4\/2 + 0\/j. Factor -2*w + 1\/3 + 5\/3*w**m.\nAnswer: (w - 1)*(5*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 551*r + 18051. Determine n(-33).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334*s + 7 + 1432*s - 7 + 153*s to the form c*s + v and give c.\nAnswer: 1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.77 - 360.23. Let x = -359 - f. Which is greater: -0.76 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(304) + -1*1*sqrt(304)) + -3*(sqrt(2736) - (sqrt(2736) + 1 + sqrt(2736) + 1)))**2.\nAnswer: 432*sqrt(19) + 24660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*r = 20*r - 590 - 98 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78224, -78171, -78118, -78065?\n\"Answer: 53*v - 78277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468261979157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -45, -1347, -3, -4, -5 in descending order.\nAnswer: 18, -3, -4, -5, -45, -1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 + n**2 - n + 7. Let i = -27 - -24. Let h be 1\/i*(-9)\/(-1). Let g(y) = -4*y**3 + y**2 - 2*y + 8. Let v(k) = h*r(k) + 2*g(k). What is v(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 + 120*y + 23. Calculate x(-11).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2435 is divided by 608.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -15*u - 62. Calculate w(-10).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 14 + 4 = 6. Let o(r) = -8*r - 6. Let g(j) = -9*j - 5. Let t(b) = -27*b - 14. Let m(d) = 7*g(d) - 2*t(d). Calculate u*m(c) - 5*o(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - -3*4\/6. What is the units digit of (4\/(-2))\/(14\/7)*w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 649962211 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 2*x = 5*g + 31, -2*x = -g - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/126)\/((-3850)\/10780).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -241, -301, -341, -355, -337?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 817\/8 + -102. Let y(g) = 2*g + 7. Let q be y(5). Let n = q - 49\/3. What is the nearest to n in 0, h, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**6\/180 + b**5\/45 + b**4\/36 - 4*b**2 - 7*b. Let x(h) be the first derivative of z(h). Factor x(g).\nAnswer: 2*g*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from rrfssf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(171)*-3)*3)**2 + ((sqrt(171) + 0 + sqrt(171))*-6 - (1 + sqrt(171) + sqrt(171) + (2*sqrt(171))**2 + sqrt(171))).\nAnswer: 279*sqrt(19) + 13202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 - 1637*t - 4962. What is f(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/(-92)*(117 - -1). Let j = h - -2533\/86. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {t: 5, g: 1, r: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -10*x + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 4 - (-93 - -85)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 175*f + 12. Let h(c) = -351*c - 29. Give -2*h(y) - 5*r(y).\nAnswer: -173*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104693883 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - w**3)*(-35*w - 30*w + 25*w).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099264849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 12*j**2 + j + 14. Let n be q(-12). Suppose 3*x - 25 = -2*a - 3, -n*x = -3*a + 7. What is the remainder when 7 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.763 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j - 21*j + 12*j. Suppose u - 14 = -0*u. Suppose -6*w + 4*w + u = j. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6886 (base 10) in base 16?\nAnswer: 1ae6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7371 + -8?\nAnswer: 7363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1427*t + 945*t + 3 - 1 - 4 + 1.\nAnswer: 2372*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17997572 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from qqqqqqqqyqyyqq.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {l: 4, v: 1, h: 4, m: 1, f: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (1 + 2 - 5)*(-2 + 2 - 1))*(-m - 3*m + 6*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 2. Let g(v) = -2*v + 2. Suppose -1 = -4*r - 3*i, -7*i + 3*i = 5*r. Suppose -4*m = c + 7, 5*m + r + 6 = -c. What is c*b(s) + 6*g(s)?\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r = -83*r - 87 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 minus 91680.01?\nAnswer: -92222.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65741, -131433, -197085, -262697, -328269, -393801, -459293?\nAnswer: -524745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3301002 + 334?\nAnswer: 3301341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b4c24 (base 16) to base 15\nAnswer: e9593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48221, 96387, 144553, 192719, 240885, 289051?\n\"Answer: 48166*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (7 - -31) - -1. Solve 5*p - 2*z = -t, -p - 80*z + 81*z - 9 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(12\/10))\/((800\/(-16))\/1950)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/17179 and -7\/419?\nAnswer: 17179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -d + 12, -2*d - 124*w + 24 = -128*w. Solve -9*f = -13*f + l + 3, -d = 4*f + 4*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/s**(-6)*s*s)\/s*s)*s**(-2\/9))\/(s\/(s**(-1\/3)\/s))**23 assuming s is positive.\nAnswer: s**(-566\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 68*g + 15. Determine d(20).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p**2 + 3*p. Let w be s(2). Differentiate 6 - u**2 - w*u**2 + 6*u**2 with respect to u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*r - 2*r. Suppose -f + r = f. Solve f = -c - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-3) - 0 - 3\/9. Let o = -1 + r. Find the second derivative of -1100*d**o - 9*d**4 + 1100*d**2 - 3*d wrt d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrcccczcccccc. What is prob of picking 1 r, 1 z, and 1 w?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*d**3*p**3 + 3*d**2*p + 3*d*p**3 + 3 wrt d.\nAnswer: 756*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17400329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 414\/450 + 4\/50. Let p be 2\/5*(6 - 1). Suppose 0 = p*f - f - z. Which is the nearest to f? (a) -6 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 r when four letters picked without replacement from krrrkkkkrrrkk?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n - 35*n = 306 + 64 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 0.018, 310?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6609 from 1389782.\nAnswer: 1396391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 1. Let r(q) = 3*q - 4. Calculate -5*b(f) + r(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Let o(t) = 16*t - 13*t - 7*t. Give o(p(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1208808)\/(-861)*4\/(-6). Let y = 936 + k. Let i = -7111\/2296 - y. What is the common denominator of i and 46\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 269 - 285 - (2 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2253591 + 753409. What is p rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217\/50 - 4\/25. Which is the smallest value? (a) g (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1081 - -56226\/7567. Calculate the common denominator of r and (-177)\/9*174\/406.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/90)\/((-129)\/18 - -7). Which is the third biggest value? (a) -14\/9 (b) 1\/2 (c) 1\/4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 17819903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - s = 1856. What is the highest common factor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from ofbrf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 8 - 3)\/(82\/(-1681)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*c + 24, z = 2*c + 11 + 3. Calculate the smallest common multiple of z and 839.\nAnswer: 8390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145392.\nAnswer: 2, 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 13 - 11*v + 12*v + 11*v in the form t + q*v and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let m(a) = -9*a + 7*a + 8*a**2 + 2*a. Determine b(m(i)).\nAnswer: -128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44151*x - 2400 = -44311*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by -6535762?\nAnswer: -49\/3267881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - 103\/(10506\/(-7956))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1266, -4, 3.\nAnswer: -1266, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5669022651.\nAnswer: 3, 1951, 968567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144399887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13)*1 - sqrt(13))*2 + 2 + sqrt(117) + 3)**2.\nAnswer: 30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -26421000 to the nearest one hundred thousand.\nAnswer: -26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1356*g**2 + 17*g - 3. Let u be d(-9). Is -1*(-4)\/3*u\/(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(156) + sqrt(156) + sqrt(156)*1))\/(sqrt(24)\/(-2*sqrt(2))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + i + 4. Let k be q(0). Let h(s) = -10 + 10 - 3*s**2 + k*s. Let j(g) = -g. Calculate h(z) + 4*j(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(6\/17)*i)**(1\/5)\/(i**(35\/3)\/(i*(i**(4\/11)\/i*i)\/i*i)))**(2\/19) assuming i is positive.\nAnswer: i**(-56282\/53295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4665 divided by -1.\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/20)\/(24\/72). Let p = 8.66 + -0.66. What is the nearest to p in 1, t, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-384)\/1044)*(-32)\/(-24)*-1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 165928205*p. Let a(x) = -x. What is u(a(l))?\nAnswer: -165928205*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*o - 96 = -7*o, 4*c = 3*o + 75. Let j(z) = z**3 - 20*z**2 + z - 11. List the prime factors of j(c).\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2181)\/378 + 8\/144?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1243*t - 6768 = -1387*t. Solve 16*g + t*g - 567 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-18)\/(-120)*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/i)\/i**(-1\/5)*(i*i*(i**12\/i)\/i)\/(i\/(i*(i*i**(-3\/4))\/i*i*i)) assuming i is positive.\nAnswer: i**(2281\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1. Let f(o) = -2*o + 5. Let d(j) = 2*j - 5. Let u(t) = 6*d(t) + 7*f(t). Give u(z) + 4*y(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7854\/(-132)*(-52)\/2652\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 - 5*h**4 - 5*h**3 + 5*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from {w: 6, n: 6, i: 4, y: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 1, -8, 2, -0.4 in descending order.\nAnswer: 2, 1, -0.4, -8, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - k - 9 = 0, -104*k + 96*k = 4*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3\/(-9) + -536*7\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -109.\nAnswer: -109, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -303*m - 26699. Calculate d(-88).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-21 - (-51 + 29)) + -1 + -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140.761 + -0.239. Let b = -140.9 - o. Let a(d) = 4*d - 6. Let j be a(-4). Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(2*sqrt(8)*-5))\/(1*(sqrt(128) - (sqrt(128) + sqrt(128)*-4 + sqrt(128)) - sqrt(128)))*-6.\nAnswer: 3*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -286127?\nAnswer: 515028.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 180*u**2 - 185*u**2 - 42*u + 551*u**2 - 188*u**2 to the form t*u + a*u**3 + h + z*u**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 6) to base 4\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000111101110100011111 (base 2) to base 8.\nAnswer: 20756437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-5))\/(1\/15). What is the third smallest value in p, -11, 2\/7, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8008, 16004, 24006, 32014, 40028, 48048, 56074?\n\"Answer: 3*c**2 + 7987*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, d: 6, k: 1}. Give prob of picking 2 d and 2 u.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 1234 = 4*m - 5*n, 2*m - n - 840 = 0. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5860 = 194*t - 1318 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*s - 7 = 0, 2 = -68*n + 71*n - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1210559 = 3*x - 475183. Let p = -318914 + x. Round p to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44644, 44643, 44642?\n\"Answer: -s + 44645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 - a**5\/20 - a**3\/6 + 13*a**2. Let f be l(-3). What is the biggest value in 0.8, 0, f?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 + 475*d**3 + 958*d**2 - 1900*d - 3816 = 0 for d.\nAnswer: -2, 2, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 - u + 1. Let p(k) be the third derivative of -7*k**6\/20 - 7*k**5\/12 + 35*k**4\/24 - 35*k**3\/6 - 14*k**2 - 3*k. Determine -p(m) - 35*z(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*x + 12 + 20, 5*o + 15 = 0. Let z be (10 + (-754)\/91)\/(3\/14). Let i(r) = 32*r - 245. Let v be i(z). Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b0 (base 13) in base 11?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, -11, -24, -39?\n\"Answer: -p**2 - 8*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-40)*7\/((-63)\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 3, -3, -14 in increasing order.\nAnswer: -14, -10, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let q be 3\/3*1*-1. What is the remainder when 13 is divided by (h*(-5)\/2)\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*i = -2*i + 40, 0 = 3*i + 6. Let a(u) = u + 14. List the prime factors of a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - k + 4 + 4 = 0, 3*y = 5*k - 18. Let v = y + 13. Suppose 0 = v*l - 16 - 6. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:10 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, i: 3, e: 8}. Give prob of picking 4 z.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -128 - 9?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3521765 and 39443768.\nAnswer: 197218840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 313*m - 22*m + 12222 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579609.71*4.\nAnswer: -2318438.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -532 - -567. Solve -2*b - 37 + f = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/60 - s**3\/15 - 13*s. Factor a(h).\nAnswer: h*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**2 - 5*k**2 + 180*k - 16*k**4 - 182*k wrt k?\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -388 plus -455632598?\nAnswer: -455632986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**5\/60 - n**4\/12 + n**3 + 2. Let z(d) be the third derivative of r(d). Calculate z(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 15*b**2 + 2*b - 114. Let f be a(-16). Calculate the highest common factor of f and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50292444 is divided by 207820.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/240 and 101\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3 + 14310*f**2 - 872760*f + 13328000 = 0?\nAnswer: 28, 34, 2800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q. Let j(b) be the second derivative of -b**3\/2 - 13*b. What is j(f(i))?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2*(-3)\/(-18)). Let q be (-1 + 6)*3\/y. Let v = -1 + q. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 148.\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 97, 200, 287, 346, 365?\n\"Answer: -2*i**3 + 4*i**2 + 105*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 - 17421\/198. Let j = m - -1252\/11. What is the common denominator of j and (-143)\/(-15)*(-15)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 13*s + 10. Give p(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 23*y - 199. Calculate x(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060 divided by 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/36)\/(4\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 4. Let t be (3\/9)\/(1\/9). What is f(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10) + 4 - (1 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/1 + (-2520)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*sqrt(1053) + (-3*sqrt(1053))**2 + -2 + 3.\nAnswer: -27*sqrt(13) + 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21901 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 7. Let r be h(-6). Let w be (-2)\/(-10) - (-528)\/60. What is the greatest common factor of r and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.7 - -35.1. Let p = 27 + -29.8. Let q = 1.8 + p. What is the closest to -0.1 in q, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313156 - -3010911?\nAnswer: 1697755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 14 - 12)*(404 - 195*s - 404) as y*s + g and give y.\nAnswer: 2145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 - 251.9. Which is the closest to -1\/3? (a) 3\/7 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.4 and -0.69?\nAnswer: 4.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/15932 and 13\/154?\nAnswer: 175252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.4 + 5. Let t = 255277\/8 + -31910. Which is the fourth biggest value? (a) -1\/38 (b) t (c) u (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n = -21*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.78681 rounded to 1 dp?\nAnswer: -150.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 17. Suppose 0 = -2*q + 3*q - 3. Let a be i(q). Calculate the common denominator of 61\/4 and ((-17)\/(-6) + -3)\/(a\/(-102)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621175007 is divided by 207058331?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtap when four letters picked without replacement from aptpadpatiipattt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12532 and 12389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/2 (b) -6\/29 (c) 1 (d) 2 (e) 24\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.75176 times -0.02\nAnswer: 0.0750352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 5501961.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -22. Suppose -5*t - 40 = 3*l, 6 = 2*l - 2*t + 38. Let g(w) = -w**2 - 3*w - 1. Let m be g(-4). Sort l, 4, o, m in increasing order.\nAnswer: l, m, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 460\/9 and -18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 2, l: 1, o: 1, q: 1, t: 1}. What is prob of sequence mt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9 times -70513?\nAnswer: 345513.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 12*k**2 - 23*k - 40. Suppose -91*x - 361 = 105 + 444. Determine s(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/4))**40\/(y\/y**26)**(-40))**(4\/3) assuming y is positive.\nAnswer: y**(-4120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = q. Let m = q + 18. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 11. Suppose -4*c - 330 = w, 4*w - 4*c + 766 + 554 = 0. Let j = w + 346. What is x(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5 + 2*t**2 - 2*t**3 + 2*t - 6\/5*t**4 = 0. Calculate t.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -104.71. Let y = p - 0.8. Which is the third smallest value? (a) y (b) -3\/7 (c) 2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 7. Let x be y(5). Let p be 7\/x + (-7 - -4). Which is the biggest value? (a) -1\/10 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-160))\/((-2)\/15*1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*c - 2, 7 = -2*n - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39563 or -39601?\nAnswer: -39601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 917*h**2\/2 - 30*h + 2. Is r(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w - 9. Let o be c(-6). Solve 5 - 8 = -o*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 6*h + h)*(-5 - 8 + 10)*(h - h**4 - h).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203201 - 145?\nAnswer: -203346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*d + 2150 = 13652 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -110*z**2 + 3*z - 92. Let o(x) = -111*x**2 + 2*x - 92. Let j(i) = -3*o(i) + 2*p(i). What is the first derivative of j(d) wrt d?\nAnswer: 226*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1275, -1868, -2461, -3054, -3647, -4240?\n\"Answer: -593*s - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a second in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 + 517. What are the prime factors of m?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (11 - 11 - 8) + (4 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*u - 291 + 796 = 0, -2*i + 6*u + 238 = 0. Calculate the remainder when 3429 is divided by i.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -13*m - 2. Let d be 2\/4*(-36)\/(-42). Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539)*2 + 1)*1 - 4*4*(sqrt(539) - (-1 + sqrt(539)))) + (1 + sqrt(539) + 4 - sqrt(539) - (sqrt(539) + 0)*6 - (sqrt(539) + -1)*4*2))**2.\nAnswer: 336*sqrt(11) + 77620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 - -9. Let w be ((-4)\/33)\/((-6)\/(-9)). Put w, 1, s in descending order.\nAnswer: 1, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 127 = 163. What is the derivative of -17*l - 80 - 7*l - 7*l + p wrt l?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4345 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 6*m - 3. Let n(q) = q**2. Let i(p) = f(p) + 2*n(p). Let k be i(-6). Is -3*22\/(-3) - k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70965 divided by -855.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4229 + 2164?\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/5 + 357*g + 59534\/5 = 0?\nAnswer: -1751, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and -4367.\nAnswer: -4366.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220925140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/7*(14\/(-3) - 0). Solve -m - 3 = -2*j, 2*j - 11 - a = -3*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 5*h. What is the tens digit of i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 minus -24880.3?\nAnswer: 24881.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -416 - -416.000584. Round y to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 0.02057\nAnswer: 0.0016456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*y - 11 = 0, -5*y - 3 = 11*l - 7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-20 - 36 - 27)*(-3*w + 3*w - w) + 3*w - 3*w - w)*(-w + w - w**3) in the form m*w + i*w**2 + o + u*w**4 + a*w**3 and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 121, 239, 357, 475, 593, 711?\n\"Answer: 118*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 + 0.88. What is the nearest to z in -1, 7\/5, 0.1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5)*(-6)\/72*(-1)\/(16\/8256).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -24920.\nAnswer: -19\/12460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 u, and 1 j when four letters picked without replacement from ullalluyajruru.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*f - 22, 0 = -3*c - 3*f + 21 + 3. Solve c = 3*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 10, 1, -1\/4, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:07 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3421 (base 8) in base 2?\nAnswer: -11100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -78\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*i*o**2 - 80*b*o**3 + i + 106*o**3 + 2*o wrt b.\nAnswer: 4*i*o**2 - 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 448*h**2 - 39*h - 4. Let f(q) = -447*q**2 + 52*q + 5. Determine -3*f(o) - 4*w(o).\nAnswer: -451*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1186647*r - 9493184. Give k(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1081? (a) -19 (b) 6\/53 (c) 2\/127 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/2 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4723699.\nAnswer: 4723699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n**2 - n. Let i(d) = -9*d**2 + 4*d - 18. Let p(u) = 18*u**2 - 9*u + 42. Let w(t) = 7*i(t) + 3*p(t). Give 5*g(h) + 6*w(h).\nAnswer: -9*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*d - 4*d - 28, -3*d = 5*z + 35. Let f be (d - (0 - (8 - -2))) + -2. Solve -23 = f*c - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 53. Suppose o - 12 = -3*n. Suppose -3*q - n*p = -470, -q + 2*p + 766 = 4*q. List the prime factors of q.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3572 + 3488. Sort 3, y, 1 in descending order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 + 2*p + 2. Let k be t(-2). Let y be 71\/k - 8\/(-16). Does 6 divide y\/2*(-28)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 224*z**2 - 1070*z - 1. Let t be v(-5). Which is the second smallest value? (a) -7 (b) 1 (c) t (d) 0 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 88 = -8. Let c = 38 + s. Calculate the common denominator of 9\/11 and 102\/c*(-14)\/(-525).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110112 = 2*z + 60*z. What is the remainder when 160 is divided by 12\/(1 - 4) - z\/37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 10*y - 6. Let c be a(-8). Suppose -124*f - 61*f + 3700 = 0. Solve 10*q - f = c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.4 - -16104528.\nAnswer: 16104518.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -848.897 - 197371192.\nAnswer: -197372040.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -661, -1321, -1983, -2647, -3313, -3981, -4651?\n\"Answer: -h**2 - 657*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074772466 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 7:27 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011708 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f. Let a(n) = -112*n**2 + 3. Determine j(a(o)).\nAnswer: -448*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(3\/1*2\/18*6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - n, 8*d + 15 = 3*d - 2*n. Let o = 11 - d. Calculate the smallest common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -94*a**5 - 53*a. Let m(y) = y**5. Let n(l) = 6*m(l) - r(l). Find the second derivative of n(j) wrt j.\nAnswer: 2000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253, -2, -0.4.\nAnswer: -2, -0.4, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 13 = -2*c, -7*y + 6*y + 13 = 5*c. Let k be (-36)\/(-16)*8\/c. Solve -k = -2*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c - 6. Suppose -5*l + 0 + 20 = 0. Let b = -1 - l. Let z be d(b). Put -3, z, -6 in decreasing order.\nAnswer: z, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:12 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 199570 to the nearest 1000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 + 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 = 3*n - 6*n, 3*s = n + 32. Let l be (0 - 16\/s)*-45. Let h = l - -91. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(119) - sqrt(119))\/sqrt(7) + 2 + (sqrt(34) + sqrt(34) + sqrt(170)\/(1*sqrt(5)))\/(sqrt(54)\/sqrt(3)) + 2.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 21, 0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3085 (base 13) to base 11\nAnswer: 5041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -9*h + 5*v, 282*h - 283*h + 4*v = 0. Let g(i) = -3*i + 19. Give g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 + 105. Solve -6*m + 11*m = 4*y + 7, 3*y + 3*m - 15 = u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 188164 to the nearest one hundred.\nAnswer: 188200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123316?\nAnswer: 2, 3, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(0 - -3))\/(-3). Suppose a = -2*f + 5*f + 3. Put 5, f, 4 in ascending order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -2\/7, 2\/7, -1\/10, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1620 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/13 + 290*j**2\/13 + 502*j + 3094.\nAnswer: 2*(j + 13)**2*(j + 119)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-6)\/(-28)) + (-279990)\/(-15372).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2172996 divided by 1086498?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*j + 1. Suppose 2*k + 15 = 5*z - j, -2*z + k = -6. Solve 0 = z*h - 3*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Let c = -14741295\/11 - -1338581. Let j = c - -1536. Does k = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 16. Let b be r(-8). Suppose 0 = -i - 9 - 12. Let z = i + b. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*8\/(-2448))\/(10\/(-8))\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -246, -468, -754, -1104, -1518, -1996?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.740434 from -42639.\nAnswer: -42643.740434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -12. Suppose -3*h + 9 + b = 0. Let i = 465 - 459. Solve -2*o - i = 3*s + 6, -2*s = -h*o + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4549*v**2 - 4549*v**2 + 85*v**5 + (v**4 + 0*v + 0*v)*(-2*v - 3*v + 4*v) - 3*v**5 - 2*v + 2*v.\nAnswer: 81*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*l + 253*l - 2*v = -23, 5*l + v + 26 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1333 and 1798?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08537 and -122.\nAnswer: -10.41514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*z - 6*z = 12, 0*z + 181 - 205 = 5*n - 2*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5868*w = 11728*w - 5817*w - 1118 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 4. Put 0.1, 2, -2\/99, g in decreasing order.\nAnswer: 2, g, 0.1, -2\/99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.027 - 57.973. Let p = 55 + b. Which is smaller: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t**2 - 1 - 10129*t**4 + t**3 - t - 7*t**2 + 10128*t**4 + 0*t**3 in the form h*t**2 + s*t**4 + z + p*t**3 + o*t and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116661 by -38887.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73347 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*y + 43 + 29*y - 139 - y with respect to y.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1472 - -1854. Let q = 4964\/13 - p. Let j = -2\/195 - -619\/3315. Put q, 0, j, 5 in decreasing order.\nAnswer: 5, j, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -39. Is w less than -6\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -15*k + 21*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 318 - 102 = 4*a, -65 = -a + 5*r. Let y = -20 + 34. Calculate the remainder when a is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}