{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrrsrrrrrrrr.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66 or 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 5 - 7*p + 57*p**3 - 58*p**3 - p**2 + 9*p**2. Calculate u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dooudmmmddmu. Give prob of picking 2 u and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.514 - 481.514. Let u = 481 + r. What is the nearest to u in -2\/3, 3, -2\/5, -0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 + a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b + 13?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 32 + -21 - (13 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51270 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: List the prime factors of 2258095913.\nAnswer: 5743, 393191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 10, -3*y - 16 + 44 = -5*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*j - 90 - 379 = 17*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1968, -16653, -56516, -134145, -262128, -453053, -719508?\n\"Answer: -2098*g**3 - g**2 + 4*g + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogg when three letters picked without replacement from {g: 2, r: 1, o: 1, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -21993 times -12393?\nAnswer: 272559249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 417855 times 0.3?\nAnswer: 125356.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 6:05 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**2 + 827 - 1653 + 3*v**2 + 826.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 8*u - 6. Let j(x) = 9*x - 7. Let a(b) = -6*j(b) + 7*l(b). Let r(c) = 15*c. What is a(r(i))?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 + (-2 - (0 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68888339 is divided by 7470?\nAnswer: 7469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 2*x - 204 = 0, -2*x = -5*q + x + 340. What is the remainder when q is divided by (-1)\/3*(1 + -70)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -991, -1997, -3003?\nAnswer: -4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 217446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1292576.\nAnswer: 2, 31, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/12 + 16\/(-12). Let n(d) be the third derivative of -d**4\/6 + d**3\/3 + 13*d**2. Let g be n(1). Which is the nearest to 0.2?  (a) -3  (b) r  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 - 8*i. Let q(z) = -z**2 + 9*z. What is 5*q(j) + 6*s(j)?\nAnswer: 13*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**0)**(-18)\/(z\/(z**0\/z)*z**(-6)*z))**(-3\/28) assuming z is positive.\nAnswer: z**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 69*s - 683. What is the remainder when 580 is divided by m(13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 5.538738 centuries?\nAnswer: 55.38738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of n**4\/12 + 25*n**2 + 1. Let i(a) = 69*a**2. Give i(y(t)).\nAnswer: 276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 - -45. Suppose 0 = -5*u + 4*u - 4. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -521710*u + 521647. Give b(1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5978cf (base 16) in base 7?\nAnswer: -100561064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - -24. Let k = q + -43. What is the nearest to 0.1 in 1\/2, k, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2097131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 249179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**4 - a**4 + 0*a**4 + (-a**2 - 3*a**2 + 6*a**2)*(-1 + 2*a**2 + 1) + 0*a**4 - 2*a**4 + 0*a**4 - a**4 - 6*a**2 - 3*a**2 + 6*a**2 + 2*a.\nAnswer: 3*a**4 - 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 35, -1, -2\/9, -4 in descending order.\nAnswer: 35, 2, -2\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234, -672, -1312, -2154, -3198?\nAnswer: -4444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4 or -0.6461?\nAnswer: -0.6461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 381258?\nAnswer: 2, 3, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3*v = -3 - 10, 2*v + 14 = 4*j. Let z(q) = 3*q**2 - 9*q**j + 24*q**2. Let u(s) = -2*s**2. Determine u(z(t)).\nAnswer: -648*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zzwwwzzzpgwzzzwwwww.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -480 - -1390. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24*c - 10*c + 73*c)*(1308*c - 2616*c + 68 + 1303*c) as d*c**2 + u*c + r and give u.\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 944 and 2360.\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100 + 10101?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1009237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 6:40 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -739*s + 4642*s + 2390*s = -267*s + 124640 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18373 and 71558.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-11)*(m\/(m**5*m))\/m assuming m is positive.\nAnswer: m**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1002212112102 - 201?\nAnswer: -1002212120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -943*c**3 + 3793*c**3 - 948*c**3 - 951*c**3 - 975*c**3.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((497\/(-35))\/(((-3366)\/330)\/(-17)))\/(1\/(-3))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 10 + 22. Let t(z) = -z**3 + 7*z**2 + 9*z - 2. Let c be t(g). Is 6 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -71, -301, -699, -1277, -2047, -3021, -4211, -5629?\n\"Answer: -2*s**3 - 72*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of x**5\/30 - x**4\/8 + x**3\/6 - x**2. Let v be b(2). Factor 0*h**3 + v*h - h**3 - h + h**2.\nAnswer: -h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 183323769 to the nearest integer?\nAnswer: 13540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 414 (base 6) to base 12.\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -46744707152 - -306.\nAnswer: -46744706846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -365, -384, -455, -578?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + -33 - (-4 + 14 + -4 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208906.\nAnswer: 2, 67, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2289, -218, 1 in increasing order.\nAnswer: -218, 1, 2289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*h + 5*h + 2608. Suppose -133 = 6*c - h. Solve f - 10 = -4*b, c*b - 5*f + f - 23 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/((g\/(g*g**(1\/2)))\/g*g)))**(-34))**(-11\/4) assuming g is positive.\nAnswer: g**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 319509640.\nAnswer: 2, 5, 149, 53609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -l**5\/60 + 32*l**2. Let h(y) be the first derivative of -y**3\/3 - 9. Determine h(s(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -3  (c) -1  (d) 3  (e) -27\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1368, -9, 2, 2\/13, -5, -43 in ascending order.\nAnswer: -43, -9, -5, -0.1368, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 times 0.01?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -10947  (c) -42  (d) 0  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8203 minutes in microseconds?\nAnswer: 169218000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-312)\/102 - -3)*(-6)\/(-2). Sort 3, -3, x in decreasing order.\nAnswer: 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*b + 6 + 4 = 0, -2*u + 12 = -3*b. Let x be ((-146)\/(-6) + -1)*u. Suppose 3*j + 2*j = -5*l + x, 0 = 2*j - 6. Solve -4*o + 3 = l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333921\/10 at most -4\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211*o - 249*o = 154*o + 5*o - 1857 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 3\/20*v**5 + 0 - 3\/4*v**4 - 3\/2*v**2 + 3\/2*v**3 + 2*v. Factor i(x).\nAnswer: 3*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 185239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003545985 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -66 + 96. What is the remainder when 59 is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3321 = -c + 254. Let z = c - -5660. Suppose 0 = 3*a - z + 340. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31 + 17. Suppose -8*b + 3*b + 25 = 0. Let f(t) = -2*t - 3. Let g(d) = -6*d - 8. Calculate b*g(s) + p*f(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-195))\/((-1)\/(-15)*3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, b: 4, m: 5}. What is prob of picking 4 b?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 13. Suppose g = p*g - 100. Suppose 0*y + 4*y = g. Calculate the lowest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.215765 to 3 decimal places.\nAnswer: 9.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 5:16 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10997\/5 + 2200. Let z = -0.3 + 0.7. Put k, 0, z in decreasing order.\nAnswer: k, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 191\/32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 + 12)*(5 + -1). Let b(q) = -a*q + 32*q + 6*q**2 + 29*q + q**3 - 5. Give b(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + -2)\/(-1) + 2. Let q be ((-14)\/3)\/(j\/3). Suppose -5*c + 23 = -l + 2*l, 3*l = 4*c - q. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 376 + -371. Solve 4*p - 28 = -5*i, 0*i - 3*i + 2 = -g*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -d**4\/3 + 16*d**3\/3 - 32*d**2 - 7*d. Suppose u(g) = 0. Calculate g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 838 - 833. Solve 27 + 4 = 3*r + 4*d, 0 = -2*r + t*d - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55 * 0.76.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 16, 57992 = 2*o - 4*o - 2*p. What is o rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -109*o**3 + 650*o**2 - 5*o + 1086868.\nAnswer: -327*o**2 + 1300*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 18*d**2 + 22*d - 137. List the prime factors of u(7).\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z. Let b(p) be the second derivative of p**3\/2 + 31*p. Calculate l(b(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 55*u**2 + 128*u - 14415. Calculate x(57).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 13 + 7. Let f = -0.06 + -0.44. Which is the second biggest value?  (a) f  (b) 4\/5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14215709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 3*s - 4*z, z - 3*z + 2 = 0. Let b = s - -9. Find the third derivative of b*x**2 + x**2 + 5*x**3 - 2*x**3 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vw when two letters picked without replacement from dvwwvwwdwwdd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -0.2, -2\/13, -4 in descending order.\nAnswer: 1\/4, -2\/13, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - b = -0*v + 14, 0 = v + 4*b + 2. Let u be 0 + 9\/(v\/8). Let p = u - -16. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 445 is divided by 225.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*h - 15955*h**2 + 7929*h**2 + 7969*h**2 to the form x*h**2 + f + a*h and give x.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*r + 151 = 4*n, 2*n - r - 50 = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 42 + 106?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*v + 24 = 0, -5*k - 7*v = -2*v - 30. Suppose 0 = k*i + 2 - 11. Let y = -17 - -19. What is the closest to -0.2 in y, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*f - 91*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*x**4 - 19*x**5 + 12 + 53*x**2 + 22*x**2 - 236*x**6 - 6*x**5 - 19*x**5 + 45*x**5 wrt x.\nAnswer: -28320*x**3 + 60*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.082  (b) 0.2  (c) -0.3  (d) 0.4  (e) -1998\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of c**4\/12 - c**3\/3 + 153*c**2\/2 - c. Let q(b) = 210*b + 1890. Let v be q(-9). What is the hundreds digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, -0.5, -1298, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(2 + 1 - 4)*(-1 + 2*o + 1)*(-3 - 8 - 3).\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -24605432 (base 7) in base 9?\nAnswer: -4153805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, w: 1, j: 5, l: 1, e: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2208 + -2197. Calculate the least common multiple of h and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**4 - n**2. Let t be (-3*7)\/(7\/(-7)). Let x(i) = 6*i**4 - 7*i**2 - 1. Let c(b) = t*a(b) - 3*x(b). What is the first derivative of c(r) wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 7*s = 31, 2*x - 3*x + s = -7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 6*s - 5*p = -12, 4 = s - 5*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -7. Let p be 20\/(-3)*b*18\/12. Let h(a) = a**3 - 8*a**2 - 20*a + 12. Let g be h(p). Solve -2*m + 2*o - g = 0, -4*m = 5*o - 2*o + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**3 + 10*z**4 - 245*z**2 + z - 12*z**4 + 247*z**2 in the form f*z**4 + d*z + c*z**3 + w + x*z**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 4)*(-230 - 233 + 458)*(-4 - 3 + 5)*(0*p + p - 2*p).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -28 - (-137 - -131).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -26977*b - 242850. Give u(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 18 - 3 = 0, 6340 = a - 3*d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -108 - -262. What is the common denominator of (-913)\/a*(1 - 0 - 0) and -89\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -10*t + 5*t + 22, -2*q = 2*t - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*i - 12 = -2*q, 3*i = q + 6. Let j(d) = 2*d + 36. Let n be j(q). What is the greatest common factor of n and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nzzzsnsnzizznvznz. Give prob of sequence nzvs.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52 - 415\/8. What is the biggest value in y, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -67 - ((23 - 45) + -23)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 1 + (3 - 2 + 1)*(1 - 1 + 2) - 3 + 0 - 1 + (0 - 8 - 5)*(0 + 1 + 0))*(a**2 + 3*a**2 + 2 - 3*a**2).\nAnswer: -10*a**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 4*v - 44, -5*v = -3*x + 7*x - 48. Let u be x + -11 + (9 - 0). Find the third derivative of -5*s**5 + 0*s**5 - 3*s**5 + 8*s**2 - 2*s**u wrt s.\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121738630 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**4\/3 - 76*t**3 + 208*t**2\/3 + 684*t - 678 = 0.\nAnswer: -3, 1, 3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k = -331 + 223 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 17 + (-6 - 29)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 895723 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 + (20 - 16) + -17 + 42?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 152225 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -3, 1294, 0.54 in decreasing order.\nAnswer: 1294, 18, 0.54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3*q**2 - 9*q - 5. Let u be l(4). Suppose -u*n = -3*n - 76. Suppose 4*a - 1 = n. Solve -a*w = -10 - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 3:25 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 5:00 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*w + 48*w + 462 = 72*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007347733837 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*a + 33 = 0, 0 = 4*a - 0*a - 12. Suppose 3*x - n - 24 = 0, 27 = 5*x - 4*n - 20. Let z = x + 1. Calculate the greatest common divisor of k and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 1\/11, 0.03, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 3 = -g - 0*r, 0 = 2*g - 3*r - 45. What is the lowest common multiple of ((-6)\/(-5))\/((-12)\/(-200)) and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 1008 = -2*s - 189, a + 1 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 403 + 2*l**2 - 403. Let p(u) = -3*u**2. What is p(t(b))?\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -3076.1 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2016951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 568215546 a multiple of 2721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2712 divided by 2.\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 6 = 2. Suppose 3*p + y*p = 1030. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 - 19. Suppose -288 = -c*y + 2*y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 14168*f + 2054443. Give r(-145).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 10*m + 4. Let n(k) = -3716*k + 3713*k + 2 - 3. Let l = -21 - -35. Calculate l*n(y) + 4*h(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/777, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47716, -79401, -111096, -142807, -174540?\nAnswer: -206301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -87*i**2 - 18461*i - 3588. Calculate w(-212).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4361057, 8722114, 13083171?\nAnswer: 17444228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 235.56 - -20.04. Let j = -256 + r. Sort j, -12, -3.\nAnswer: -12, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 0) + (-656 - -637)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -139 + 159. Solve 5*d = c, -3*z + 2*d - 3 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18677 - -18915. Calculate the smallest common multiple of 578 and w.\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1868 - 478 + 74)*(-3*t + t**3 + 3*t)*(-3 + 0 + 2).\nAnswer: -1464*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2*d + 22 = 0, 2*n + 0*d + d = 3. Let c = -12 - -12. Suppose -n*i + 100 = -c*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.0166 to 2 decimal places.\nAnswer: -2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11989, 11983, 11977, 11971?\n\"Answer: -6*p + 11995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5*(-6)\/15 - 7. Let q = z - -6. Which is smaller: 4\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 31016, 31018, 31020, 31022?\n\"Answer: 2*i + 31014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -31*v - 1001. List the prime factors of u(-37).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from itwiawwaiiiotaitthw. Give prob of sequence wtwt.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 11:43 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 5*m**4 - 60*m**3 + 45*m**2 + 110*m = 0.\nAnswer: -1, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-9 - -5 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -1  (c) 1  (d) -3  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -12*p + 9. Let j(z) = z**2. Determine j(r(a)).\nAnswer: 144*a**2 - 216*a + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n + 104. Calculate t(18).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 297*f - 3252. Let w be p(11). Solve -c = w - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-67)\/(-938))\/(2\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 37 - 38 = 0. Suppose -2*a - 3*a = 4*t - 170, -r = -5*t. Suppose -5*y = -10 - a. Calculate the smallest common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77.000004 - 77. What is i rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*b - 2 + 3)*(0*b - 2*b + 3*b).\nAnswer: 3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -4. Factor -2 - t**3 + 3*t**3 + v*t**3 - 4*t + 2*t**4.\nAnswer: 2*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 4) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -14*w**3 - 6*w**2 - 4*w. Let h be t(-1). What is the greatest common factor of h and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -109 or -2\/9?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u + 2. Let n(p) = p + 1. Let j(s) = -s**3 - 10*s**2 + 12*s + 12. Let x be j(-11). Suppose 2 + x = 5*z - 4*d, 4*d - 18 = -2*z. Give z*b(o) - 4*n(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + -3. What is the biggest value in s, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -5606, 11, 25, -4 in descending order.\nAnswer: 25, 11, -2, -3, -4, -5606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 5*p**2 - 5*p. Let i(l) = l**3 - 15*l**2 - 15*l - 11. Let u be i(16). Give g(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 5 + 11*p - 11*p**2 + 8 + p**3 + 0. Let j(z) = -z**2 + 13*z - 20. Let m be j(10). What are the prime factors of b(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79808 divided by 1856?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i + 3*i - 3*i - 609 - 2237.\nAnswer: -i - 2846","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 2311?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4662.604 micrometers to nanometers.\nAnswer: 4662604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5*l. Let u(b) be the third derivative of -37*b**4\/8 - 382*b**2. Give u(x(m)).\nAnswer: -555*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3 - 4*v - 3 + 3*v. Let c(a) = -a - 1 + 1. Calculate c(p(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 26474296 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**9\/15120 + g**6\/240 + g**5\/15 + 3*g**2. Let l(n) be the third derivative of q(n). What is the derivative of l(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 33. Let k = -214 - -217.69. Let a = 3.6 - k. Sort a, -3\/2, g in decreasing order.\nAnswer: g, a, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*w + 140 = -24*w. Calculate the remainder when w is divided by (-130)\/(-15) + 2\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45 (base 9) to base 14.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2 + 26)\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4273639 plus 177.38?\nAnswer: -4273461.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 5*l - 2810, -3*z = -8*z + 5*l - 2820. What is the units digit of z*(1 + 2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 729 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275*j = -44*j - 392*j + 4266 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of 8*w**5\/3 + w**4\/12 - w**3\/6 - 15*w**2. Let a be h(1). Suppose -6*v + 169 = -a. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14080 and 660?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 14, 38, 82, 152, 254, 394?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1419, 1425, 1435, 1449, 1467, 1489?\n\"Answer: 2*y**2 + 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 917836 + -3895296005\/4244. Let r = -109073\/42440 + i. What is the common denominator of -73\/24 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 6 = -4*k. Let u = 0.34 - 0.14. Which is the closest to 1\/4?  (a) k  (b) -0.2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 501869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -119 + -28222?\nAnswer: -28341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 141040129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4195*s - 232. Let n(y) = 839*y - 42. What is -11*n(p) + 2*x(p)?\nAnswer: -839*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1 - (-59)\/(-6))\/(154\/(-28)) and -50\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-38988)\/(-11286))\/((-2 + (-21)\/(-11))\/(3\/(-6)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 6:46 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.20831 millimeters to micrometers.\nAnswer: 1208.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 - 27. Let j be (-11)\/(-2) + 2\/z. Suppose 2*t - 5*x - 76 = 0, 3*x - 9 = -j*t + 119. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 3*i**2\/7 + 2613*i\/7 + 308790\/7 = 0?\nAnswer: -730, -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 2. Let c = 1 - t. Suppose c = u - 0*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1040825 and 1185?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 + -27. Suppose 0 = -3*y - 3*c + 9, -5*y + 2*c + t = 11. Solve 17 = 3*r + 2*r + 4*m, -y*r = m - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13589283 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/42*(-72)\/(-336))\/((-6)\/(-7))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -190\/11 in -0.3, -3.2, 66, -0.2, 1?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44496 - -44495.999977449. What is t rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 87 and 104046461.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 5. Which is greater: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594207 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*l = l + 62. Solve -l*j + 4*z - 2*z = -2, -j - 5*z - 29 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 21*m**2 + 23*m - 7. Suppose 2*u - t = -46, -u + 57*t - 20 = 58*t. Calculate g(u).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 151015?\nAnswer: -151014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 137460187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 4*b + 46 = 0, 1197*b = 3*d + 1198*b + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) 2  (c) 1\/1639\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1841557?\nAnswer: 1841557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**3 - 17*b**2 + 5*b - 9. Let l be s(-9). Calculate the highest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 32*l**2 + 2*l - 2. Let u be o(-3). Let g = u + -198. Suppose 8*x - g = 430. 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 l(h) = h**3 - 41*h**2 - 2*h + 72. Give l(41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1487 - 719. Suppose h = -12*k + 16*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27.54 + -28. Let n = x + 0.4637. Round n to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11076613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {h: 1, z: 2, g: 1, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 161.7 + 0.7\nAnswer: 162.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7698 or 7700?\nAnswer: 7698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 28785929.1 to the nearest 10000.\nAnswer: 28790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 + 14*d**2 + 15*d. Let a be b(15). Suppose -3*y - n + 4 = -0*y, y - n - 4 = a. What is the units digit of y - (0 - -3)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 651407, 651420, 651433?\n\"Answer: 13*d + 651394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.49 + -98.027.\nAnswer: -115.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 140548 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/61, 843.412, -0.5?\nAnswer: 843.412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 682 - 6871\/10. Find the common denominator of m and (978\/(-27))\/((-56)\/(-6)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0053673 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5051498938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 508 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from svsvccvcscvvj. What is prob of picking 3 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*n + 108 = -84*n. Let f be (-1 + -1)\/(4\/38). Let w = n + f. What is the smallest common multiple of w and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13286146 to the power of 1\/2, to the nearest integer?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ececcceccece?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13639147 and 20414?\nAnswer: 1609419346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, j: 16}. What is prob of sequence jp?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 5*v**3 + 12*v**2 + 11*v - 4. Let h(u) = -15*u**3 - 35*u**2 - 32*u + 11. What is -6*h(y) - 17*t(y)?\nAnswer: 5*y**3 + 6*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 129 + -122.55. Round f to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**1)**(-4\/41)\/((g*((g*g**(-3\/5))\/g*g)\/g)\/(g**(-2\/9)*g))*((g*g**1)\/g**(-5\/3))**24 assuming g is positive.\nAnswer: g**(3977\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4 + 1. Let m = 0.4 + w. Let u = 5 - m. Which is the closest to 0.1?  (a) u  (b) 5  (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 745 is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyssjyhysysjysj. Give prob of picking 2 y and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 + 7. Let h be q(0). Let i = h - 5. Find the third derivative of 2*j**5 + j**2 - 4*j**i - 5 + 5 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 - (-325 + 320 - (79 - -2))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**24*t*t*t\/(t**(-31)*t)*t**(-1\/27)\/t**(-1\/13) assuming t is positive.\nAnswer: t**(3524\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -577655*s**2 + 1558*s - 32 wrt s?\nAnswer: -1155310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 - 3*t + 3. Let g be o(2). Suppose g*d + 3 = -v + 1, -5*v - d = -14. Suppose n = -i, v + 1 = -i. What is the closest to -1\/3 in 0.1, 2, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 - -68 - (-23 - -41)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5005?\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/120 and 99\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8826 is divided by 1373.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -411 - -407. Suppose -4*u = -9*u. Which is the closest to z?  (a) 0.3  (b) u  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.2052802um?\nAnswer: 0.0000002052802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -3. Suppose 2*w + 56 + 32 = -38*n, -n - 26 = 4*w. Sort 0, l, n in increasing order.\nAnswer: n, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -98065704 by -1276.\nAnswer: 76854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 - 4*i**4 + 3*i**4 + (4 - 4 + 2*i**3)*(2 - 2 - 2*i) + (-i**2 - 5*i**2 + 2*i**2)*(-i - 45 + 45)*(0*i + 0*i - 2*i).\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.7 + -0.7. Let m = 4\/189 + -422\/2079. Let n be ((-39)\/52)\/(12\/64). What is the second biggest value in w, 1, n, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 = -5*c + 53*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -6, 0, 4, 9.\nAnswer: -19, -6, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 94*v - 10711. Give f(114).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/33 and 28\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-4\/5))**(-19)*(y**(-1\/3)\/y*y)\/(y**(-10)*y))**(2\/127) assuming y is positive.\nAnswer: y**(146\/1905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.9, 0, -0.3, 1, 19 in decreasing order.\nAnswer: 19, 1, 0, -0.3, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(666\/2888) - 13)*(2 + -32)\/5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11494990 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*q + 22180 - 22236 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**(2\/9)*o)\/o**5)\/(o**(-1\/2)\/(o*o**(1\/6))))**(18\/11) assuming o is positive.\nAnswer: o**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 11. Let i = m + 15. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*q + 25*q = -32 - 212. Sort -2, 1, q, 33, 0 in decreasing order.\nAnswer: 33, 1, 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3 - 2) + -1)\/((-340)\/(-34))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/((sqrt(16) + sqrt(48)\/sqrt(3))\/sqrt(2) + sqrt(8))*3 + -2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(252))**2 + sqrt(252) + -1 + (-1*sqrt(252) + 0)**2.\nAnswer: 6*sqrt(7) + 1259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 8*w**2 + 5*w - 7. Let j be n(9). Suppose g = 277 + j. Suppose -10*u + 4*u = -g. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17235, -18849, -20463, -22077, -23691, -25305?\n\"Answer: -1614*p - 15621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - s**2. Let r(m) = -4*m**3 - 2*m**2 + 60. What is 2*h(c) - r(c)?\nAnswer: 2*c**3 - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {c: 6, d: 1, f: 7, j: 2, x: 1, i: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2928)\/36 + (-5)\/3. Let z = v + 81. Let n = 0.2 + 0.3. Sort 5, z, -1\/3, n in descending order.\nAnswer: 5, n, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u**2 + 6*u - 8. Let p be x(1). Is (0 + p)\/((-174)\/(-1798)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4809 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0162 and 4.9.\nAnswer: 4.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.766, 9, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 57738644 + -739?\nAnswer: 57737905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4177, -8279, -12375, -16459, -20525, -24567, -28579?\nAnswer: -32555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**0)**(-29)\/(u\/u**1)**(-6))\/(u\/((u*u\/(u\/((u\/(((u*u**(-3\/5))\/u*u)\/u))\/u*u))*u)\/u*u)*u**(-1\/2)*(u**(1\/3))**(1\/21)) assuming u is positive.\nAnswer: u**(1943\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 5 - 2)*(0 - 1 + 2)*(-f + 0*f + 0*f + (3 + 2*f - 3)*(-3 + 5 - 3) + 0 + 0 + f - 3*f + f + 0*f).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6 - (1\/(-2))\/((-2)\/(-24)). Suppose -4*a + 8 + 8 = 0. Solve -a*z + 8 = -r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - -2)*204\/12. What is the highest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -54 + 53.9. Which is the closest to 21?  (a) 2  (b) 1\/5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*d + d - d)*(d**2 + 2*d**2 - 4*d**2) + 33*d**3 + 19*d**3 - 4*d**3 + d**2 - d**2 + 3*d**3 to the form b + j*d**3 + r*d**2 + h*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146 is divided by 111.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -4*u + 472, 0*k = 4*u - k - 481. Suppose -u = -m + x, -2*m = 5*x - 169 - 45. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 32.065 to 1 decimal place.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 364705*b**3 + 1045. Let m(p) = -1048*p**3 - 3. Calculate -1045*m(h) - 3*x(h).\nAnswer: 1045*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-28) + 4340\/1960)*46.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(3\/7)*k)\/k)**(1\/34)*(k*k**6\/k)\/(k*k\/(k\/k**(2\/13))))**(-4\/7) assuming k is positive.\nAnswer: k**(-30066\/10829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -171 divided by 3738?\nAnswer: -57\/1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 5 - 1)*(-2*s**2 - 3*s + 3*s) - 2065 - 52*s + s**2 + 2065 as w*s + b + n*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 509*t**3*z**2 + 4*t**3*z - 2884*t**3 - 2*t*z**2 wrt z?\nAnswer: 1018*t**3*z + 4*t**3 - 4*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*d + 5838 = 29*d. Let f = -9553\/40 - -385817\/360. Let o = f - d. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2 + 1 = 0. Solve 0*w = -k*n - 3*w, 0 = 2*w - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/6, 3, -28, 10, 0.06, 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29255 + -14134. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 189 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44 + 25. Let o be i\/(-57) + 1\/(-3). Suppose o = -2*l + 2 + 4. Solve 8 = -d + l*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000494 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -5, -3\/8, -993557, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 9. Suppose -2*a = -b*a. Suppose 2*o = 4*d + d, o - 3*d = a. Are o and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 3*z + 2*x + 104, 3*z = -4*x + 142. Solve z = -3*b - 7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o - 1. Calculate the remainder when 9 is divided by j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/239580 and -76\/17429445?\nAnswer: 69717780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 3 l when four letters picked without replacement from llllllldd.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.94504 plus -38?\nAnswer: -37.05496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -n**4\/6 - 5*n. Let d(g) be the third derivative of 0*g - g**2 + 7\/60*g**5 + 0*g**3 + 0*g**4 + 0. Give d(h(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -71 + 64. Let b be -2 - (3 + p + 0\/(-2)). Suppose 3*h - 13 = -1. Solve b*o + 6 = h*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.17468 - -0.11721. What is z rounded to three dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -13988*p + 279840. What is f(20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**3\/6 - 257*f**2\/6 + 2495*f\/3 + 5500\/3 = 0.\nAnswer: -275, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*o + 4. Let v be 1 - (-1 - (-6)\/o). Factor 2\/3 - 2\/3*b**2 + v*b.\nAnswer: -2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 7*l - 8. What is b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, s: 1, n: 1, e: 1}. What is prob of picking 1 s, 1 g, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z - 3 - 3 + 6 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/2  (b) -5  (c) 10  (d) 8750  (e) 2\/141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 22457.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 - 1 - (97 - 112)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288 and 1656?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (520\/52 - (-1)\/(-1))*(-2)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 7529  (b) -5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 4, 4*i + a - 34 = i. What is the remainder when i is divided by 15\/18 - (-39)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 + 19*b**2 + 12*b - 12. Let j be o(-18). Let c = j + -102. Let a(w) = -w**3 - 5*w**2 - 15*w + 1. Is a(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3 - 2529*h**2 - 205020*h + 207552.\nAnswer: -3*(h - 1)*(h + 92)*(h + 752)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6.527356 litres?\nAnswer: 6527.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20261123723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -312*j**2 - 39*j + 154*j**2 + 157*j**2 - 2032 + 2032.\nAnswer: -j**2 - 39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 12*d**2 + 14*d - 33. Let s be y(11). Solve s = -3*c + 4*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-3) - (26 - 22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*z + 6 = 0, -2 = -2*p - 2*z + 2. Suppose 10*x - 204 = 6*x. Suppose p*s = -s + x. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*x = -48, -4*j + 0*x + 34 = -5*x. Suppose -1 = 3*p - 4*p + 2*r, 0 = 5*p - 4*r - j. Find i, given that 3 + 0*i**3 + i**p - 2 - i - i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -173\/20 - -243\/20. Let m(i) be the first derivative of -2*i**3 + 0*i + p*i**2 - 17. Find the second derivative of m(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 6, 1\/7, -2\/19, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 11*k - 273. Suppose 0 = -3*p + 9, 2*p - 3*p + 1311 = 4*z. Calculate the remainder when z is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(152) + -2*sqrt(152) - sqrt(152))*-5)\/(1*(sqrt(32)\/sqrt(4) + sqrt(8)) + (sqrt(32)*-1)\/sqrt(4)))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 654*r**6 + 2*r**2 - 384*r wrt r.\nAnswer: 78480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l - 3. Let u be i(12). Solve -3*m = -3*x - 9, -x = -m - 4*x - u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -305a360 - 2?\nAnswer: -305a362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 1\/16, -5\/3, 1.76, 1.4, -4?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -5*a + 43. Suppose 7*g - 31 = -3*t - 0*t, 4*g = -3*t + 28. Calculate the remainder when a is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195 + 241 = 184*h + 34*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**6\/40 - c**5\/60 - c**4\/24 - 418*c**2. Let t(q) = -q**2 + 6*q + 1. Let a be t(6). Let u = -2 + a. Determine i(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 15) to base 6.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 4*z = -119954 + 120090, 49 = -5*c - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.2234*-42.\nAnswer: 303.3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -3\/7  (b) -5  (c) -1\/6548285  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2, 1, -8, -31, -74?\n\"Answer: -n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70783 is divided by 919.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 1, 4, -115 in increasing order.\nAnswer: -115, -24, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -1704*g + 128. Let a be k(-17). Suppose -4*m + 42*s = 38*s - a, s = 5. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45598*n*v**4 - 269*n*v**3 - 2*n*v**2 + 11*n + 25*v**2 - 929*v + 2 wrt v?\nAnswer: -1094352*n*v - 1614*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 161*m**2 + 120*m + 1412. Is 84 a factor of b(-160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 159 + -127. What is the greatest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -24*g. Let h(f) = -4*f**2 - f**2 + 7*f**2. What is h(u(q))?\nAnswer: 1152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d - 1 + 1 - 3*d - 1 + 1 + (-3*d - 2*d + 4*d)*(1 - 2 + 2) + 4*d + 2*d + 2*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-5 + 15 + 108 - (7 + -4 + 6)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 + (-31 + 39 - 3) + -68 + -11.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 10599, 10726, 10941, 11286, 11803, 12534?\n\"Answer: 7*i**3 + 2*i**2 + 72*i + 10518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/341356 and 73\/4437628.\nAnswer: 4437628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34.2 - -41.2. Let g be ((-2 - 0)*(-14)\/56)\/1. What is the nearest to -1 in -3\/4, j, -0.2, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191293.\nAnswer: 233, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of 4*w - 2\/15*w**2 - 1\/45*w**6 + 17\/150*w**5 + 11\/45*w**3 - 7\/30*w**4 + 0. Solve y(i) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.16  (b) -5  (c) 563.7  (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*(k*k**(-1\/51))\/k*k\/k**(-2\/21) assuming k is positive.\nAnswer: k**(247\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 75 - 75.1. Let x be 1*6*2\/(-8). Is z < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 14*k - 4*k + 12 - 3*k. Let y be u(11). Let g = -533\/6 + y. Which is the second biggest value?  (a) -0.1  (b) g  (c) 0  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -k - 4*f + 14, -k - 3*f + 21 = 0. Solve 5*x = -4 - k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 6*w + 48 = 25*w. Let v(m) = -27*m**2 - 9. Let y(b) = 7*b**2 + 2. What is w*v(i) + 9*y(i)?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -41*h**3\/6 - 5*h**2\/2 - 12*h. Suppose 0 = 5*q - 80 - 15. What is the remainder when v(-1) is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 + 1835*f - 294*f - 197*f in the form d + v*f and give v.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324 is divided by 278.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j**5 - 296*j**4\/3 - 2216*j**3\/9 + 63488*j**2\/9 - 9088*j\/3 - 1024 = 0.\nAnswer: -8, -2\/9, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -9103*b - 191145. What is w(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*m**2 - 2*m**2 + 6*m**2)*(2*m**2 - 41*m**2 - 63*m**2) in the form t*m**3 + f*m + h*m**2 + w + v*m**4 and give v.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*t - 7 = 11*g - 37*t, 2*g = -2*g + 2*g + 3*t - 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 709*n - 714*n + 10 = 0. Let k be -1 + 5 - (1 - -1). Solve -n = -2*d + r, -6*d + d - k*r = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*87\/580*(-1 - 65\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*o = 111*o - 12. Suppose -3*w + d + 185 = 0, o*d - 6 = -3*w + 171. What are the prime factors of w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 658104142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 2, x: 7, t: 11}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3014 - -3066) + (51 - 1)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 + -35. Let d = b - -60. Suppose i - s = 26, -2*i - 4*s = -2*s - d. What is the greatest common divisor of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60 - -55. Which is the closest to 0.1?  (a) 0  (b) 0.07  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 11:19 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14083 (base 11) in base 14?\nAnswer: 7448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 104963 - -62130. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -16 in decreasing order.\nAnswer: 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**5 + r**2 + r - 1. Let o(i) = 0*i**2 + 3*i**2 + 5*i - 2*i**5 - 3 - i. Let z(d) = o(d) - 3*w(d). Find the second derivative of z(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 divided by -3026.\nAnswer: -8\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15026398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28444.\nAnswer: 2, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -1, 6, 1.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73 - -75. Let p be -1*a*(-8 + 6). Suppose 2*j = j + p*n + 217, 4*n = 5*j - 1053. What is the highest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.19 + -357.19. Let j = 355 + n. What is the third smallest value in j, 19, -2\/19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -901 * -0.1.\nAnswer: 90.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 4*a**2 - 6*a + 2. Let l(n) = 2*n**3 + 9*n**2 + 11*n - 5. What is -2*l(p) - 5*q(p)?\nAnswer: p**3 + 2*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0093 + 0.51.\nAnswer: 0.5193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -471?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -50080  (b) 0.04  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 3*x - 18 - 2*x - 5*x - x. Let z be f(-4). Solve 5*j = -5*r - 10, z*r + 6 - 20 = 4*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (-4 - -3 - -1). What is the highest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -0.209499?\nAnswer: -0.0418998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*d - d - 2*d)*(-3 + 3 - 1) + 22*d - 7*d + 17*d + (2 + 5 - 4)*(0*d + d + d) to c*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9836*q + 7759*q - 5630*q.\nAnswer: 11965*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 - (-9 + 6 - -9). What is the least common multiple of 348 and 16*(5\/18 - s\/45)?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2691, -6335, -11875, -20259, -32435, -49351?\nAnswer: -71955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 76895625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -47, -538, -1891, -4538, -8911?\n\"Answer: -72*f**3 + f**2 + 10*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -100755  (b) -5  (c) 2\/27  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g**2 - 456 - 117*g**3 + 101*g**3 + 0*g**2.\nAnswer: -16*g**3 - 2*g**2 - 456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4987*b**2 - 1671*b**2 - 1666*b**2 - 1662*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 3  (b) -3  (c) 0.05  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2045689 divided by 23\nAnswer: -88943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 9aa87 (base 11) to base 15\nAnswer: 2d58e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/2370 and 35\/5214.\nAnswer: 26070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 0, 6, 4, -3 in ascending order.\nAnswer: -28, -3, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**2 - l**2 + 2*l**5 + (-l + 3 - 3)*(0*l**4 + l**4 + 0*l**4) - 153*l**5 - 72*l**5 + 46*l**5.\nAnswer: -178*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/171390 and 21\/4.\nAnswer: 342780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1\/2, 2\/7, 2.8 in descending order.\nAnswer: 2.8, 1\/2, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v - 12. Let y(q) = -q + 6. Let c(u) = -6*p(u) - 13*y(u). Let g(a) = a + 1. Give c(m) + 5*g(m).\nAnswer: 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 6*g - 32. What is the least common multiple of 6 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 180616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 9:55 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 7:55 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 670892.\nAnswer: 2, 179, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -943 + 4487\/5. What is the smallest value in -1\/6, 4\/9, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1005*q + 160 = 1037*q. Solve 8*j - q = 7*j + 5*z, -j - z = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6764*k**3 - 4000*k?\nAnswer: 40584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4948 = -5*a + 12. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -42141 + -210?\nAnswer: -42401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 952.9837 centuries to millennia.\nAnswer: 95.29837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 6*y**2 - 5*y + 8. Suppose 1 = -7*d - 34. Let i be u(d). Suppose -6 = 2*s + 4*l, 2 = 5*s + 5*l - i. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2260006*k - 18. Let i(y) = 6780017*y - 53. Let x(w) = -8*d(w) + 3*i(w). Let z be x(5). What is z rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12243 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1515, -1514, -1513, -1512?\n\"Answer: j - 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0.1. Suppose -5*g + 4 = 3*r - 9, -2*r = g + 3. Let o = -3 + 2. Which is the nearest to p?  (a) 0.3  (b) o  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 5:47 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*j - 1224 - 1016, 3*j = -3*z + 3354. Suppose -3*f + 3*s + 1806 + 1524 = 0, -f - 3*s + z = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 11531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108827*w**3 + 108804*w**3 - 217611*w**3.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.398 and 35.\nAnswer: 48.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.36 * 24275\nAnswer: 8739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 3. Suppose 153*l - 8 = 149*l. Suppose 0*u = -4*u. Solve l*o + k = -x, 2*k + u = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2\/5  (b) -0.82  (c) 1\/2  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -12031\nAnswer: -2406.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 8, -39.\nAnswer: -39, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - s + 13462 = 3*h, -8 = -4*s. Let u = -28589 - -18603. Let m = u + h. Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2)*(6*x**3 + 3*x**3 - 7 + 6) + 2*x**3 - 5*x**3 + 4*x**3 + 2 - 2 - 2*x**3 + (-2*x**2 + 5*x**2 - x**2)*(4*x - 5*x + 0*x) + x**3 - x**3 + x**3.\nAnswer: 7*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -877*n**2 - 650*n**2 + 4 - 4.\nAnswer: -1527*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -7*q**3 - q**2 - 5*q + 5. Let l(b) be the first derivative of -2*b**4 - b**3\/3 - 3*b**2 + 6*b + 5863. Calculate 6*j(v) - 5*l(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 31, 138, 317, 568, 891, 1286, 1753?\n\"Answer: 36*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 3*m + 9 = -3*s, 0 = 5*s + m + 3. Let o = -659 - -3956. Suppose -6*z + 9*z - o = s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/2*(-4)\/(-12). Let g(h) be the first derivative of -1\/2*h**2 + 1\/2*h**4 + 4 + 3\/10*h**5 + k*h - 1\/6*h**3. Factor g(v).\nAnswer: v*(v + 1)**2*(3*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 145 - 35. What is the highest common factor of h and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*d**6 + 10355079*d**4 - 244289705*d**2 wrt d?\nAnswer: 2040*d**3 + 248521896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 7*n + 5. Suppose -j + 1 = 7. Let o be q(j). Sort -2, 3, o in increasing order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 9*g**2 - 9*g + 15. Let l be f(2). Solve 11*t + l + 11 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 - -19. Let g(y) = y**2 + 9*y - 2. Let p be g(a). Let l = p - -19. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 59161434 and 1572.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -11. Let w(s) = -s**3 + 7*s**2 + s**2 + 2*s**3 + 7*s + 2. Let d be w(-7). Solve -d*g - a = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from kwwkwmmwf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58, 131, 214, 313, 434, 583, 766, 989?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 30738135 to the power of 1\/2, to the nearest integer?\nAnswer: 5544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (254\/(-4))\/((-8)\/16). Suppose -32 - y = -3*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4259 - -4259.5. Let n = 4\/3 + -14\/9. What is the nearest to -2\/3 in n, 0.4, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.499 - 3.739. What is the closest to 0.1 in -4, 2, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/13  (b) -0.12  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*r + 0*r - 4*r)*(10*r - 83*r - 7*r)*(r**2 + 5*r**2 - 2*r**2) as h*r + x*r**3 + o*r**2 + n + z*r**4 and give z.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 + 5)\/(16\/(-4))*-382 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 3  (b) -2  (c) -247776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.27 and 30?\nAnswer: 30.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8880612 centimeters in micrometers?\nAnswer: 8880.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50 - 78. Let a = y - -28.000062. Round a to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - -1 - (1 - -1). Suppose 3 = -x + z + 9, -j*x + 3*z + 16 = 0. Let c(a) = -4 + 2*a**x + 4. Let l(n) = 2*n**2. Give l(c(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -5*z**4 - 1016460*z**3 + 8132000*z**2 = 0.\nAnswer: -203300, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 82231.833 rounded to the nearest one hundred?\nAnswer: 82200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 587, 2111, 4585, 7955, 12167, 17167?\nAnswer: 22901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18664*t**3 - 99388*t + 99388*t.\nAnswer: -18664*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 4*w - 7. Let x be h(-2). Suppose -x*s + s = -8. Solve -v - 4 = 0, s*v - 6*v = 2*j + 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 12*m + 30. Let g(h) = 4*h + 46. Let x be g(-8). Let v be u(x). Solve -4*z = 4*n - 8, 12 + v = -5*z + 3*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5*t**3 - 4*t**2 + 52*t - 227. Calculate k(4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*b = 11*b - 4*v + 2, 3*b - 102 = -24*v for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2718985*a**3 - 1884*a**2 + 89 wrt a.\nAnswer: -16313910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.4891 + -68.4891. What is the third biggest value in -12, -0.4, 4, 2\/7, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(3\/(27\/(-2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44\/(-165)*171\/6)\/(14\/((-4060)\/29)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 1:31 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -162, -169, -182, -201, -226, -257, -294?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1407809kg in tonnes?\nAnswer: 0.0001407809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 1, x: 2, i: 1, p: 1, j: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6401290537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 18*r**2 - r + 13. Determine m(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217248 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 25*s - 22. What is the tens digit of m(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/5  (b) 5  (c) 0.4  (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 57*q - 6486. Let f be a(114). Solve 28 = -f*o + 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*z + 26 = 2*t, 0 = 5*t - 4*z - 32. Suppose 45 = -t*h + 13. Does 3 divide (h\/(-6))\/(2\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -6*j**3 + 11*j**2 + 11*j + 7. Let p = 27 + -21. Let t(q) = -5*q**3 + 10*q**2 + 10*q + 6. Let o(c) = p*x(c) - 7*t(c). What is o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/44*((-12)\/(-9) - 0). Sort 2, -0.3, j, -0.4 in increasing order.\nAnswer: -0.4, -0.3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3*l = 2. Suppose 4*s = x - 263, 5*s + 0*x - l*x + 328 = 0. Is (2 - s) + 5\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**2 + 50*t - 16*t**6 + 41*t - 85*t wrt t.\nAnswer: -1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -0.041406, -5\/4, 2\/23, 2\/7, 0.3, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36963*u**5 - 92241*u**4 - 53592*u**3 - 7056*u**2.\nAnswer: 3*u**2*(u - 3)*(111*u + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 330555796 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 445*v = 451*v - 42 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 64, 195, 402, 691, 1068, 1539, 2110?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from eeyecbbyyece?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 - 12. Suppose 2*v = z*i + 24, -v - 2*v + 34 = -4*i. Calculate the remainder when 8\/v - 996\/(-21) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dvd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*n**2 + 1072*n - 1072*n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 7445*m - 5. Suppose -3*v - 3 = 0, -5*q + v = -2*v + 147. Let b = -21 - q. Let x be c(b). What is x rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4. Let q(j) = 5*j**2 - 4*j - 15. Let h(m) = 4*m**2 - 3*m - 14. Let t(y) = -4*h(y) + 3*q(y). What is -11*g(w) - 4*t(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != -1\/36048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 6*u + 4. Let m be x(5). Do m and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (1 - 30362\/(-4)) + 21 + 273\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-72)\/(-52) + 0)\/(((-976)\/3965)\/(-16))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*1\/3*-7. Let t(z) = 5*z**2 + 11*z - 2. Let f(a) = 1468 + 6*a + a**2 + 2*a**2 - 1469. Let v(b) = p*f(b) - 4*t(b). Determine g, given that v(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f + 11714. Let d(o) = -68*o**2 + 2. Give w(d(q)).\nAnswer: 136*q**2 + 11710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25\/46 in -0.3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 4*p + 10. Suppose 28*a = 32*a + 20. Let n be w(a). Calculate the greatest common divisor of 120 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of g**6\/120 - g**5\/60 - g**4\/6 + g**3\/2 + g**2. Let h(y) = y**2 - 1. Let u be h(2). Is f(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*w + 23 = 0, d - 4*w = -3*w - 3. Let i = 48 - 42. Suppose 4*x + 30 = -i*x. Sort x, d, 0 in ascending order.\nAnswer: x, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 4:27 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14420861?\nAnswer: 7, 13, 37, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 334126 by -2.\nAnswer: -167063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + 5\/(-2))\/((-1)\/(-4)). Solve -3*v + 3 = -i*l - l, -3*l - v = -17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -11. Let u(h) = h**2 - 5*h. Let d be u(5). Which is the nearest to k?  (a) 0.2  (b) d  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.5, 5, 1\/2, 18\/7, -0.17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 664 = -20*r + 204 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 10. Let l be (-6)\/(-18) - (-33)\/9. Suppose -l = -4*v + 2*x + x, 4*v + 3*x = 4. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-88)\/120 + 12\/9. Let f = 0 - -1. Let p = 1 + f. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 1\/13, 5, -0.37.\nAnswer: -9, -0.37, 1\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15361589543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40.9 + -38. Let g = x - -1.1. Let m = -1491 - -1490.7. What is the nearest to 2 in g, 3\/8, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x - 4*x - 4 + 2*x. Let t be q(4). Suppose -2*w + 2*n + 122 = t, -5*w + 3*n + 321 = 2*n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (144\/336)\/((-27)\/21)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -5*z - 32990, -5*j + 19802 = -2*j - z. Is (0\/(-5) - -7) + j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57 + 65. Solve 0*v = 2*v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0*2\/(-4))\/(-2). Let a = 2 - p. Suppose -2*y + t + 58 = 0, -3*y = a*t - 0*t - 73. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -7*c + 6. Let n(v) be the third derivative of 5*v**4\/6 - 17*v**3\/6 + 4*v**2. Let k(j) = 17*h(j) + 6*n(j). Let z(s) = s**2. What is z(k(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*p**3 + 17630*p**2 + 5039025*p - 3367190 = 0.\nAnswer: -683, -493, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/48 and -73\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 14*i + 105. Let x be l(-19). Let h(d) = 5*d**3 + 10*d**2 + 10*d - 10. Let q(p) = p**2 + p - 1. Let a = -14 - -13. Calculate a*h(t) + x*q(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1030 + -1?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*x**4 - 1 - 1146*x + 8 + 2*x**2 + 1 - 9 + 1138*x to the form o*x**4 + z*x**2 + y*x + j*x**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.07 + -2.07. Put 1\/3, m, 0, -2 in decreasing order.\nAnswer: m, 1\/3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -147953 divided by 5\nAnswer: -147953\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -3*z + 2*a + 15, -30 = -5*z - 5*a. Solve -k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 69872*z**2 - 39632?\nAnswer: 139744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -16 - 13) + 5 + (6 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(272)*-6 - sqrt(17)) + (sqrt(17) + -2)*3 + 0 + -5.\nAnswer: -22*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21\/79 - -995\/474. Let y(l) be the second derivative of 0 - 15*l - p*l**3 - 1\/2*l**2. Give y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 4 = -6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 less than -6003\/1324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3564890 plus 1?\nAnswer: 3564891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40501190 and 32400952.\nAnswer: 162004760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*v + 2 = -112 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + 8*x + 11. Determine a(18).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*b = 51, 0*b + 36 = -4*j - 4*b. Let d = -12 - j. Suppose 3*m + m + 12 = d. Let p(r) = -r**3 - 2*r**2 + 3*r + 2. Determine p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - k + k)*(-4*k + 0*k + 3*k) - k**2 - 7*k + 14*k + 4*k.\nAnswer: -2*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/101  (b) -0.1  (c) 3198  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2643939241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 3*q**2 + 3*q + 5. Calculate the remainder when l(4) is divided by -3*((-17)\/(-9) - 2)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69745285?\nAnswer: 5, 109, 127973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 100555 + -301661\/3. Find m such that 1\/3*m**5 + 4\/3*m**3 + 0*m - a*m**4 + 0*m**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 67*z**3 - 5*z - 68*z**3 + 7 - 2*z + 13*z**2 - 8*z**2. Determine j(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 16. Let y be 1542\/4 + (-15)\/10. Suppose j = -p*j + y. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19706*y**2 + 19708*y**2 - 39412*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -113*f**3*n**3*x - 118*f**2*n**3*x**2 + 9*f*n**2 + f*n*x**2 - 3*f*n*x + 6*n**3*x wrt f.\nAnswer: -678*f*n**3*x - 236*n**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -13512, -13549, -13586?\n\"Answer: -37*w - 13475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -105 - 7274?\nAnswer: -7380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x**2. Let a(m) = -5*m**2 - 159*m. Determine a(b(k)).\nAnswer: -20*k**4 + 318*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/6)\/((-7)\/14). Suppose -5*w - 25 = 0, -4*j - 4*w = -v*w - 17. Suppose -j*u = -10571 + 3194. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.275 less than -0.8?\nAnswer: -0.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -419 by 600.\nAnswer: -419\/600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 5890984 - 20020984. Round c to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 4*z. Let h be u(5). Let f(o) = h - 2*o - 2*o - 1 + o. Calculate f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.3 times -1200.306?\nAnswer: -8762.2338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 3. Let s(p) = -p. Let g(h) = -l(h) - 2*s(h). Let b be g(3). Solve 0*v + v = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 5*u - 34 + 22 = 0, -10*u + 72 = 4*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20, -8\/717, -0.1?\nAnswer: -8\/717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 669022 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 133\/8 - 17. Let b = -0.362 - 0.638. What is the third smallest value in t, -4, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 2\/3*k**3 + k - 1\/4*k**4 - 4 + 1\/2*k**2. Determine m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 883, -689, -35 in ascending order.\nAnswer: -689, -35, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 0*q - 4*q + 2*q - 10 + 6. Let v be x(-3). Suppose -4*u = -4*a + 16 + 4, 2*u = -a + 5. Solve -v*y - 3*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 1239 = 2*k, 5*k - 3717 = 3*m - 6*m. Suppose 0 = -7*f - 0*f - m. Find the common denominator of -47\/16 and f\/12 + -2 + -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -59769500 to the nearest 10000.\nAnswer: -59770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -330.1 - 100.9. Let u = -431.27 - l. What is the fourth smallest value in u, 4, 1\/4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jujc when four letters picked without replacement from {j: 6, c: 1, t: 6, u: 1, i: 1, q: 3}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13808, -27564, -41258, -54860, -68340?\nAnswer: -81668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of -1\/12*f**4 - 4*f**2 + 0*f + 0 + 0*f**3. Let v(n) = -7*n**2. What is m(v(k))?\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-296)\/8880)\/((-1)\/(-9))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (2 + 12 - 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -99*k**2 + 49*k**2 + 48*k**2. Let y(a) be the first derivative of -25*a**3\/3 + 2. What is y(g(w))?\nAnswer: -100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.2 + -18. Let s = j - -5.2. Let o be 21\/(-12) - (-2 + 0). What is the biggest value in s, -3, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 7*v - 11*v - 83, 0 = 3*q - 5*v - 79. What is the greatest common factor of q and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 a factor of 44742636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 10900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 751 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -564*s + 56*s**3 - 24*s**3 - 29*s**3 + 3623*s.\nAnswer: 3*s**3 + 3059*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j - 1. Let n(f) = f**2 - 4*f - 4. Let x be n(6). Suppose -6*c - x = -2*c. Let y(o) = 0 + 0 - 2*o + 1. Calculate c*y(p) - 3*r(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/25*275\/(-660)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 3*k**2 + 5*k - 4. Let b be j(4). Suppose -2*x - 18 = 2*x - m, b = -5*m - 10. Let u be (-4 - x) + -1*1. Is -4\/9 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ypopppyoy. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -2\/57, 81, 0.1, -33?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*p + 19 - 49 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-123)\/164 - (-42)\/(-8). What is the third smallest value in -1\/56, m, -3?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 4 = 4*g - 2*t, -g - 4 = -2*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00420817475 to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 6) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 62262151 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y**(-39)\/y))\/y**9*y**(7\/6)*(y\/y**(-3\/16)*y)\/y*y assuming y is positive.\nAnswer: y**(1745\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*g + 21*g - 73*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(1053) + -2*sqrt(1053)*5 + -2))**2.\nAnswer: 5184*sqrt(13) + 1364752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 64?  (a) -8  (b) 4\/5  (c) -3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 + 0)*(3*n - 17*n - 4*n)*(-3*n - 2*n + 3*n)*(-n**2 - 3*n + 3*n) as m + p*n**4 + f*n**3 + g*n**2 + z*n and give p.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of 0*s - 6*s + 18*s**2 + 0 - 1. Is f(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 4 + 7 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -31*t - 2. Let k(y) = 1. Calculate -c(z) - 3*k(z).\nAnswer: 31*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 + 368*q + 0*q**2 - 2*q**2 - 177*q - 191*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2 + 4*r - 1 - 5*r**2 - r**3 + 5. Let m be b(-6). Is ((-4)\/(-2))\/(m\/585) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 496*l**2*x**3 + 2*l*x - 33*x**3 - 3*x wrt l?\nAnswer: 992*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 28*w**3 - 3*w**2 + 2 - 1 to i*w + t + f*w**2 + c*w**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 711853284 to the power of 1\/2, to the nearest integer?\nAnswer: 26681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -19*r**2 + 5*r - 6. Let g(w) = 19*w**2 - 6*w + 7. Let l(p) = -6*g(p) - 7*m(p). Suppose 0 = -4*f - n + 3, 6*f = 3*f - n + 2. Is 10 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 20\/2*(6 - -194). What is i rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32734013 - 32734013.030079498. Let u = 3.830069598 + b. Let x = 3.8 - u. What is x rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + -27. Let y(g) = 9*g - 5. Let k be y(h). Suppose 30*z + 22 = k*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xrjj when four letters picked without replacement from {x: 4, j: 3, r: 2, o: 2, s: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -429300141*s + 108 = -429300033*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 6*o**2 + 9*o - 5. Let s be v(3). Let j(b) = 3*b**3 + b**3 - 3*b**3 - 3*b + 4*b**2 + 5. Calculate j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 141741 + -5?\nAnswer: 141736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - 0.715903347086?\nAnswer: -20.715903347086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 579748578 to the nearest integer?\nAnswer: 24078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 243424 = -6059. Suppose 0 = -2*u - 165471 + v. Let d be (1 - u)\/((-5)\/(-10)). Round d to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*f**5 - 10*f**3 + 34*f**2 - 4*f.\nAnswer: -1560*f**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2. Let c(s) = 650712*s**2. What is p(c(m))?\nAnswer: -423426106944*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 + (-10)\/4)*0. Let a be (-114)\/(-22) - ((-342)\/(-66) - 5). Suppose 4*i = k - 22, 3*k = 6 - 0. Put j, i, a in descending order.\nAnswer: a, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 134\/10 + 1\/(25\/(-10)). Let r be (-2)\/3 - (-381)\/45*v. Let s = 109 - r. Put 2\/15, -0.1, s in ascending order.\nAnswer: s, -0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**3\/9 - 4*s**2\/3 - 1658*s\/9 + 372 = 0.\nAnswer: -27, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08353488 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 324155.1 weeks to milliseconds.\nAnswer: 196049004480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 231 divide 3933253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.591325 weeks to days.\nAnswer: 60.139275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -0*x - x - 4*m, 2*x = -5*m + 31. Let g be (-4 + -2)\/(x\/(-4)). Let u(b) = b**2 - 2*b. Is u(g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -51, 11.344, 2?\nAnswer: 11.344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -835*j**2 + 1644*j**2 - 816*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/1298630 and 29\/85?\nAnswer: 1298630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, i: 2}. What is prob of picking 1 k and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (0 + 3 - 8) - -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 32 = -11*x. What is the greatest common factor of x and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9065 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: What is 1386714 to the power of 1\/2, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 3*k - 32, 4*t + k = 272 - 288 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -151.5 times -0.04?\nAnswer: 6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 21*t**2 + t + 1. Suppose -3 = -2*i + o + 4*o, 0 = 3*i + 3*o - 15. What is the remainder when a(-1) is divided by 2 + 3 - i\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 26\/7*c**2 + 8\/7 + 2\/7*c**4 + 12\/7*c**3 + 24\/7*c = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 1939  (c) 1  (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-10))\/(14\/70). Which is the third biggest value?  (a) -1\/4  (b) -1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = u - 2936, 0 = 17*d - 18*d - 1. List the prime factors of u.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89\/((-45123)\/234)*-5*3\/9.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1206, -5, 4, -17 in descending order.\nAnswer: 1206, 4, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2150 - 1713. Let x be 31*23 + (0 - 1). Let l = x - i. What is the highest common divisor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -3024525005?\nAnswer: -3024525002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1558719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 418 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 6000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2809 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/2)\/((-1)\/1). Suppose 0*y + 6 = n*y + q, -2*y + 21 = -5*q. Solve 0 = -y*v + 12 - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from qgerwmgm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3 = 2*q. Let t = 0.33 - 0.53. Which is the biggest value?  (a) q  (b) t  (c) -0.07  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 18493.08 centuries?\nAnswer: 1849.308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t - 8*t**2 + 1 - 1.\nAnswer: -8*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 11. Let c be l(9). Calculate the common denominator of 63\/2 and 8\/c + 854\/40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5393 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -22758 and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*q - 2 = -0*q, 2*q = -v + 8. What is the nearest to 0.2 in v, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 9)*(1994*u**3 - 1994*u**3 - 4*u + 72*u**4) in the form b*u**4 + o + p*u**2 + k*u**3 + z*u and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/232*-2)\/(2\/(-8)))\/1?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*f**2 - f**2 - 2*f**2 + 5*f**2 + 0*f**2 - 3*f**2 + (3 + 8 + 0)*(-3*f**2 - 5*f**2 + f**2).\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqqeeehq. What is prob of sequence eqhq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (61050\/(-6512))\/(18\/12)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b**2 - 1896*b + 6. Let a(y) = 12*y**2. Calculate p(a(v)).\nAnswer: -576*v**4 - 22752*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 334\/12 - 9\/(-54). Let w = -13 + t. Suppose -12 = -9*d + w. Solve -5*r = -q - q - 1, -3*q - 6 = -d*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(684))**2 + -3)*5 - (-3 + (sqrt(931) + 1)*-2)**2.\nAnswer: -140*sqrt(19) - 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1.5  (b) 1\/1530  (c) -0.5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*v - 49, 3*v + 0*v + 2*n = 41. Suppose -5*y = -v*o + 14*o + 674, 3342 = 5*o + 3*y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/7 + 794*r\/7 + 60180\/7.\nAnswer: 2*(r + 102)*(r + 295)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a0b7 (base 12) to base 2.\nAnswer: -10011011100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gppg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2021 - 1?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -26 and 2831?\nAnswer: 2857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -957*z**2 + 2*z - 710*z**2 + 468*z**2 - 411*z**2 - z in the form l*z**2 + i*z + b and give l.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9546\/(-774)*(3 + -2 + 2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5*x - 22 = x, -p + 15 = x. What is the second derivative of -32*u - p*u + 30*u**3 - 6*u**3 + 18*u wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((1 + sqrt(1300) + sqrt(13))*-6)**2.\nAnswer: 792*sqrt(13) + 56664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -6, -17, -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 169*z**2 - z - 2. Let j(q) = 477*q**2 - 3*q - 6. Give 8*d(h) - 3*j(h).\nAnswer: -79*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 11:33 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15.32 + -22.019. Let n = -6.6 - p. What is n rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -549, -550, -551, -552, -553?\n\"Answer: -i - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -55 + 111\/2. Which is the second biggest value?  (a) -1\/4  (b) -22  (c) -3  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -314 - -318. What are the prime factors of q\/28*0 + 316?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100111 (base 3) to base 14.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 0 + 47586*b**2 - 3 + 0.\nAnswer: 47586*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5878 - 2*b + 5872 - 11750.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.893 rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g + 10. Calculate i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 - (1 - (-1 - -11)). Let v(j) = -2*j - w*j + 2*j. Let t(z) = -10*z**2. Give v(t(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 32\/7  (c) 0.5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*(sqrt(125) + -1 + 5)*-1*6)**2.\nAnswer: 5760*sqrt(5) + 20304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31620.77 tonnes in nanograms?\nAnswer: 31620770000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8376.09 decades to years.\nAnswer: 83760.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3  (b) -3\/7  (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4164705 divided by 92549.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-3 - -1) + 4 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -126 - -119. Let x(s) = -s - 19. Let v(k) = k + 9. Let d(n) = -5*v(n) - 2*x(n). Let a(z) = -2*z - 5. Give m*a(l) + 5*d(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.191 - -2.891. Sort z, 0.1, 1\/5, 68, 0.\nAnswer: z, 0, 0.1, 1\/5, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2 - 19*c - 36. Let g be q(11). What is the smallest value in -2, g, -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*m**2)\/(m\/(m\/m**(2\/15))*m))\/((m\/(m*m**(1\/4)\/m))\/(m*m**(5\/3)\/m)))**(-1) assuming m is positive.\nAnswer: m**(-227\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -10*t + 50. Calculate x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(-6)\/(-72) + (-35)\/(-6) + 0. Solve -x = -w + 2, 5*x - o*x - 14 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 > 187396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/10*(-45)\/18. Is 263 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -359*o**3 + 13*o**2 + 20*o + 16. Let m be b(-12). Round m to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 640, 643, 656, 685, 736, 815, 928?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j**3 + 88*j**2 + 6*j - 9. Let x(w) = 4*w**3 - 175*w**2 - 14*w + 22. Determine 7*b(m) + 3*x(m).\nAnswer: -2*m**3 + 91*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a minute in seconds?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 + 2*h + 6 - 6*h + 5*h - 6*h. Let n be o(4). Solve -3*q = -4*l + n - 4, 5*q = -5*l + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 3:49 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -166.96 - -172. Let n = 32.96 + -33. Let k = n + o. What is the third biggest value in 0.4, 0.5, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 75\/12 - (-6 - -13). What is the closest to h in 1\/5, 0.072, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/420 and 4\/5817.\nAnswer: 116340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.82686983 times -0.5?\nAnswer: 0.413434915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1743 - 3771 - 349)*(2*v**3 - 6*v**3 + v**3) as d*v**3 + l*v + o + m*v**2 and give d.\nAnswer: 17589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-39)\/(-26)*14\/3. Suppose -k = -3*k + l*k. Solve 3*v = j - 14, k = 4*v + j - 2 + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66*t**2*x**3 + 2*t**2 + 2*t*x + 30*x wrt x?\nAnswer: -396*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 550 = -23*w. Suppose -43 + w = -3*s. Solve -6*g + 30 = s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 122, 18, -7, 5.\nAnswer: -7, 5, 18, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -18, -20, -24, -30, -38, -48?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/21*(115\/(-50) + 3). Let g = -1 + 1. Let b = 1 + g. Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 3*l + 6. Calculate j(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1666552 (base 7) to base 16\nAnswer: -396e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - 26*t - 40. What is u(-17)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/(-2))\/((-2)\/1). Let q = 84.54 - -1.46. Let l = q - 89. Which is the nearest to -0.1?  (a) w  (b) 2\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - k)*(-4 + k + 4)*(-104 + 104 + 12*k) + (1 - 3 - 2)*(945 + 26*k**3 - 945).\nAnswer: -116*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -3*d**4\/4 + 2*d**2 + 20. What is the second derivative of h(k) wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n**(3\/2)*n\/n**(3\/2)*n**12\/(n**(-3)*n*n*n) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b5b (base 16) in base 15?\nAnswer: 344e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(90) - sqrt(90) - -6*(sqrt(10) + (sqrt(20)\/sqrt(2) - sqrt(10))))\/((sqrt(720)*2)\/((sqrt(80)*2)\/sqrt(8))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*x + 24*x + 14*x - 60*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -2*x - 5, -2*x + n - 4 = 5*n. Suppose x*w + 174 = 3*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1400 + -3314400?\nAnswer: -3313000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 3*b**2 - 4*b + 7. Let r(k) = 3*k**3 - 9*k**2 - 13*k + 22. Let c(d) = -8*j(d) + 3*r(d). What is the hundreds digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 928\/13, 6, 2, 21\/10 in descending order.\nAnswer: 928\/13, 6, 21\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24336 and 36504.\nAnswer: 73008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10692168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -2\/3, 5, -5, -2\/23.\nAnswer: -11, -5, -2\/3, -2\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.23443km to meters.\nAnswer: 65234.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-3*sqrt(336)*-4)\/(-5*(sqrt(42)\/(sqrt(6) + sqrt(6) + (5*sqrt(6) - sqrt(6))) - sqrt(7))))**2*-3.\nAnswer: -6718464\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 170 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 522322626 a multiple of 5041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*k**2\/2 - 405905460*k - 9153291247656200.\nAnswer: -(3*k + 135301820)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n**5\/3 - 365912*n**4\/9 - 54211*n**3 + 1341676*n**2\/9 + 650516*n\/3 + 487888\/9 = 0. Calculate n.\nAnswer: -2, -1, -1\/3, 2, 121972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*j*k**3 - 204*k**3 with respect to j.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1604300 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8954224, -17908450, -26862676?\nAnswer: -35816902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.5 and 58205794217.1.\nAnswer: 58205794217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*h**3 - 11118144*h + 5559123*h + 5559021*h.\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x. Let b be w(-3). Let c be b\/(-9) + (-74)\/(-3). Let k(d) = -d**3 + 8*d**2 - 5*d - 9. Let l be k(7). Calculate the highest common factor of l and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 240 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 111203332 + 23?\nAnswer: 111203355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*z + 19*z**2 - 18*z**2 - 30*z + 97*z.\nAnswer: z**2 + 157*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74601 = 42*n - v, 5*n + 5*v - 8835 = -0*v. Calculate the greatest common factor of n and 2886.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -177 + 884\/5. Let o = 2\/79 + -184\/1027. What is the nearest to 1 in o, w, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -435916 or -43.2?\nAnswer: -435916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11100 (base 2) to base 13\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -52  (b) -3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 7*r - 2 = 9*r, -23 = -5*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) - (-2 + sqrt(1088) + -1 + sqrt(1088) + sqrt(1088)))**2*5*-3 + 4.\nAnswer: -65411 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.58?  (a) 0  (b) 6  (c) -60\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - b + 2*b + 36 = 0, -3*t - 4*b + 73 = 0. Suppose -5*i + 3*i + 16 = 0. Calculate the remainder when t is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjbarasejebj. What is prob of sequence bbs?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6551782490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 10.854549 microseconds?\nAnswer: 0.0000000030151525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 56\/(-40) + 1 - (-14)\/10. Find the common denominator of -14 and r + 212\/40 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seventy-three quarters of a kilometer?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 78 and 91 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(((-48)\/48)\/(2\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 340, 1159, 2764, 5419, 9388, 14935, 22324?\nAnswer: 31819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + 6.1. Let t = -230961 - -230961.5. What is the second smallest value in w, 14, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h - 2. Suppose 0 = -7*i + 5*i - 2. Let v be t(i). Which is bigger: v or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 1. Let q be (-6)\/4*(-2)\/y. Suppose t = -4*x + 52, -4*t = -x + q - 5. Calculate the lowest common multiple of 18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - -7. Suppose -12*x + 56 - 56 = 0. Suppose v - 19 = -2*o - o, x = 5*o - 4*v - 9. Calculate the least common multiple of n and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18\/24*1736\/462)\/((-8)\/88)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -5  (c) -0.1  (d) 105  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50895?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (7\/84)\/(0 - 6\/9)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3\/2*x - 3\/2*x**2 + 9 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 6*t**2 + 2*t - 2. Calculate the smallest common multiple of l(-2) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of x**3\/3 - 4*x - 19. Let h(i) be the first derivative of r(i). Let a(z) = -34*z. Give h(a(g)).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1390 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -560 - -570. Let s = 923 + 330. Suppose 0 = o*u + 23 - s. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-4\/11)\/j))**(-2\/5)\/(j\/j**(2\/7))**44 assuming j is positive.\nAnswer: j**(-12464\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*j + 336 = 81*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -1644*v**2 + 2. Let x(d) = -2*d**2. What is x(t(l))?\nAnswer: -5405472*l**4 + 13152*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 36 + 5*v + 33 + 1 - 7*v in the form a + z*v and give a.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8648*x + 1071 = -8740*x - 1210 - 755 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-27468)\/8829)\/(10*(-4)\/36). Find q such that -u*q + 2\/5*q**2 + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 8351492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*b - 5*x - 208657, -2*x + 156487 = 3*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h - 7. Let r be 4\/((-8)\/18*39\/26). What is c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -4*b**2 + 160*b + 1. Let q be d(40). Put q, -5, 3, 2 in decreasing order.\nAnswer: 3, 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -617*x + 4951. Let v be r(-9). Is 10505 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9 + -1 + 9)\/(3\/(-762369)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 - 15*l + 9. Let x be q(8). Let w = x - -59. Suppose -2*i + 631 - 631 = 0. Solve -5*n = b + b + w, 2*n - 4*b = i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138476131?\nAnswer: 29, 4775039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*a - 51*a - 2*v = 20, v = 4*a - 16. Put a, -16, -10, 5 in increasing order.\nAnswer: -16, -10, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l + 8. Give s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -9*n - 11. Suppose 0 = f - 2*i + 12, i = 2*f + 6*i - 12. Let p be f\/1*3*n. Solve -5*u + 2 = g - p, -18 = -5*u - 2*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 78 + -77.964. Let r = -0.464 - p. Suppose 0 = 2*d - 5*d. Which is the closest to d?  (a) 1  (b) r  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/4))**(-1\/28)*((c**(1\/4)*c)\/c*c*c)**(-4) assuming c is positive.\nAnswer: c**(-1007\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*p + 4*r, p - 9 = 2*p + 3*r. Let j(y) = -y**3 - y**2 - 2*y. Let g be j(p). Solve g = -0*h + h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2999.1+-1919\nAnswer: 1080.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67 = 35*k + j, -2*k = 64*j - 59*j - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/((-3)\/(30\/(-4))). Let m(n) = 2*n - z*n + 6 - 6. Let u(b) = 5*b**2. Determine m(u(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -9215164 and 3701.\nAnswer: -9211463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213708?\nAnswer: 2, 3, 11, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j**2 - 24 - 4*j**2 + 7*j**3 - 13*j - 9*j**3. Let q be z(-17). Round q to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*x - 16*x - 20, 0 = l - 5*x + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -18012 divided by -3?\nAnswer: 6004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 136*a + 630?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 42 = -n, -199*n + 4*p - 42 = -194*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*h**2 + 16*h**2 + 3 - 3.\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3 - 2*a + 132*a**2 - 2 - 7*a - 9*a - 133*a**2. What is c(-19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -11e (base 15) to base 2\nAnswer: -11111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 2*z - 2 - 5*z)*((0 + 3 + 5)*(3*z - 5*z + 0*z) - z + z + z).\nAnswer: 45*z**2 + 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 114\/5187865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k + 10. Let f(y) = -3*y - 1. Let c(m) = 2*f(m) + z(m). Suppose 4*n - 35 = -n. Let w(u) = 8. Let t(d) = n*c(d) - 6*w(d). Differentiate t(x) wrt x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -25404, -50810, -76216, -101622?\n\"Answer: -25406*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 5 = -1. Let k be -2 + (32 - (2 - c)). Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 23392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -73 + 362. Suppose -3*o + 527 = -t. Suppose 4*b = -o - 504. Round b to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from xhxhh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -113 + 10*j + 113 to i*j + v and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + i**2 + 2*i + 2. Suppose 3*v = -9, -4*d = -7*v + 3*v - 4. Give o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 13*s. Let k be w(-11). Suppose -20*p = -k*p + 638. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*o - 46 - 8. Let n be 3 - (o + -8)\/((-2)\/(-6)). Suppose -5*c + 12233 + 1502 = n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 18, 26, 34?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gnggnagznaagt. Give prob of sequence nnz.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 6:29 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14.93 + 14.\nAnswer: 28.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f + 20. Let a be t(-10). Suppose -5*h + 46175 = -a*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 4*w**2. Let r(c) = 17*c + 4. Let i(d) = 71*d + 9. Let h(j) = 3*i(j) - 12*r(j). Give p(h(o)).\nAnswer: 324*o**2 - 1512*o + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (378\/(-504))\/((-198)\/96)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -28 + 166. What is the remainder when l is divided by 9\/(-9)*(-29 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 6*y**5 - 1 + (3 - 6 - 2*y + 1)*(-7*y**4 + 4*y**4 - 5*y**4).\nAnswer: 10*y**5 + 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -24, -32, -34, -30, -20, -4?\n\"Answer: 3*x**2 - 17*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - 2*v + 0*v)*(5*v**3 - 2*v**3 - 4*v**3) + 6*v**4 - 3*v**4 + v**4 + (4*v**2 - 3*v**2 - 2*v**2)*(-v + v - 2*v**2).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25046928, 100187689, 225422284, 400750707, 626172952, 901689013, 1227298884?\nAnswer: 1603002559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 20 + -16 + 8 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 76\/5 at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 5. Let q be (s - 3) + (100 - 2). Suppose 4*u + u = q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00125966 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from wsqwninxwxwnnnn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38)\/(-323) - (4900\/(-3094))\/14?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 170*n**4 + 27*n**2 + 3*n + 39999 wrt n?\nAnswer: 680*n**3 + 54*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -702.51683 from -14.225.\nAnswer: 688.29183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -r**2\/2 - 5*r + 13. Let u be p(-7). What is s in -9 - 4 + 2*s**3 + 11 - 2*s + u*s**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34304802452580210 + -34304801580782314.99999932. Let z = -871797875 + a. Let g = z - 20. Round g to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5 = -k - 0, -4 = 2*k + 4*d. Find the third derivative of -2*p**3 + p**2 - 2*p**2 + 4*p**2 + k*p**3 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102282855, -204565710, -306848565, -409131420?\nAnswer: -511414275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.94 - 0.06. Let g = 12 - 15. What is the closest to -1 in p, g, 3\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, c: 6}. What is prob of sequence fcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -2. Suppose k*a = a. Let r = a + 1. Solve -n - 4 = r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.36 less than or equal to -968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w. Suppose -5*j = -5*p - 40, 0*p + j - 28 = 5*p. Let i(d) = -2*d. Let r(n) = 3*n. Let q(v) = p*i(v) - 3*r(v). Determine q(h(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/192)\/(-1) + (-3026)\/51 + 59.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 293.1602 decades to centuries.\nAnswer: 29.31602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 38*m - 5. Calculate z(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 256 by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**3 + 5*o**3 + o**3)*(4 - 5 + 4 + (5 - 2 - 1)*(1 - 1 - 1)).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -98 at least as big as -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**4 + 2*a**3 - 54*a**2 - 162*a - 108 = 0 for a.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 507 + -505. What is the nearest to x in -0.2, -1\/2, -316?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.165 and 0.2888.\nAnswer: 0.1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*w - 80 = 67*w - 80 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**3 + 3*q**2 + 4*q. Suppose -3*c + 34 = 25. What is b(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2033 (base 5) to base 14\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 131 - 94. Suppose -118 = -3*r - 346. Calculate the remainder when w is divided by (-2)\/((-8)\/r)*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 33*l + 3. Let w be j(4). Suppose 68 = 4*k - 2*i - 16, 5*k - w = -5*i. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lfa when three letters picked without replacement from gcsasgscasasclsggfsc.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 17*g + 28. Let y be s(11). Let c = -20 + y. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 186 and 9577512?\nAnswer: 9577512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 189488755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**4 - 1 + 1 + 0*d**2 + 0*d**2 + d**4 + (-4*d**3 + 0*d**3 + 3*d**3)*(5*d + 0*d - 2*d).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k - 6. Let n be y(8). Let b be n\/(36\/(-19) - -2). Solve -4*s = o - 0*o - 7, -4*s - 5*o = -b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -431 + 807. Let n = w - 307. What is the greatest common divisor of 759 and n?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5)*y*y*y)\/((y*y**(-2))\/y*y*y)*y\/(y\/y**(5\/6))*y**(3\/7)*y\/y**(-1\/5)*y*y*y*y*y*y**(-5\/2)*y*y*y\/(y\/y**(-2\/7))*y*y**7 assuming y is positive.\nAnswer: y**(1331\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -2 - (8 - (-2 + 11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123843105 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 103 + -100. Suppose -5*p = -t*m + 5, m + p + 2*p = 11. Solve 2*r = -2*u + 4*r - 4, -5*r = -2*u + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 - 2)\/((-6)\/9). Suppose 0 = 4*v + q - 5, 3*v = 5*q - 4*q + c. Factor 0 + 2*d**3 - 2 + v - 2*d**2.\nAnswer: 2*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 226, 190, 144, 88?\n\"Answer: -5*m**2 - 21*m + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o + 4*o - 11*o)*(0 + 3 - 1)*(511 - 511 + 48*o) to f*o + t + y*o**2 and give y.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*j = -924, -j + 225 = x - 0*j. Let i = x - 76. Calculate the highest common factor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/((-2)\/(-4)*-1). Suppose 0 = -4*r - r + p + 53, -2*r - v*p = -30. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-20)\/6*9\/(-6). Suppose -o*j - 53 = -3*u + 2, -u - 2*j = 0. Calculate the remainder when 37 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-11)\/(-1) + 84\/10 + 48\/30?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60502566 (base 8) to base 3.\nAnswer: 212222200011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2407203*i**3*k - 2256*i**3 + 499 wrt k.\nAnswer: -2407203*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -158.5 and 173547?\nAnswer: -27507199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 1, 5, 0, -1 in increasing order.\nAnswer: -1, 0, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81384?\nAnswer: 2, 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 1077*r**2 + 2. Suppose 0*d = -7*d + 7. Is j(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of -m**6\/18 + 16*m**5\/15 - 25*m**4\/3 + 304*m**3\/9 - 224*m**2\/3 + 256*m\/3 - 39. Let a(h) = 0. Calculate h.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.10621826 and -0.3?\nAnswer: 1.40621826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.8839 + -2.242. What is v rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of 3*x**5\/10 - x**4\/6 - 2636*x**2. Let w(h) = 451*h**2 - 99*h. Determine 99*c(m) - 4*w(m).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1922295932 divided by 480573983?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (20\/6)\/(4\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1217367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3707922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/6, -40\/17, 8081?\nAnswer: 8081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4*1)\/(-8))\/(6\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 11*h**4\/12 + 3*h**2\/2 - 24*h. Let d(z) be the first derivative of w(z). Let s(u) = -2*u**2. What is d(s(n))?\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) 2.2  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1274641047?\nAnswer: 3, 241, 593, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -2. Suppose 3*f + 5*c = 23, 0 = -f - c + b*c + 2. Let l(a) = 5*a**2 - 5*a + 7. Let g(p) = -11*p**2 + 11*p - 15. Determine f*g(q) + 13*l(q).\nAnswer: -q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -4 - (-12 - 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247940 is divided by 1130?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174*n = h - 1045, 3*h - 5 + 42 - 9 = 5*n + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**4\/12 - x**3\/6 + 6*x**2 - 750*x. Suppose 0 = l + 3*l. Calculate d(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 4, -4, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -56*q - 13. Does 36 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 150 - 34. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.83 and 0.1685.\nAnswer: 0.139855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*r**2 + 20*r**2 - 27*r**2 - 8 - 10 - 3*r**3 + 0 + 3*r = 0 for r.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -765547.00122 + 765590. Let s = 15 + 28. Let k = s - m. What is k rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**3 + 9*h**3 - 2*h**3)*(0 + 2*h + 0 + (0*h + 3*h - 4*h)*(0 + 0 - 1) - 3*h + h + 3*h).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -172*j - 44. Suppose 0 = -v + x - 89, 4*v - x - 351 = 8*v. Let i(o) = -4*o - 1. Let a(c) = v*i(c) + 2*k(c). Let u(y) = 31*y. Determine a(u(n)).\nAnswer: 248*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48250 and 51338?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*k\/(k\/(k\/((k\/k**(12\/7))\/k)))*k)*k)\/(k*(k\/((k*k**(-11))\/k))\/k))\/((k*k**14)\/(k\/k**2)))**50 assuming k is positive.\nAnswer: k**(-10750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 86 - 341\/4. What is the second biggest value in 3, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5144 - 2471. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1656 and 7161786.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/32 and 5\/16798.\nAnswer: 268768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 1. Let z be n(-1). What is the second derivative of 8*h**5 + z + 11*h + 5*h**5 + 0 wrt h?\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -9 - (-6 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25671 + 25677. Let t(d) = -8*d**3 - 6*d**2 - 6*d - 2. Let z(l) = -15*l**3 - 11*l**2 - 11*l - 4. Suppose -2*q - 11 = -q. What is a*z(w) + q*t(w)?\nAnswer: -2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**4 + 135124*a**3 + 6218878*a**2 + 71529264*a = 0.\nAnswer: -23, 0, 67608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120133 - -12?\nAnswer: -120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63432851.\nAnswer: 31, 379, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 473 + 2760. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 369134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*i + 14 = 0, 0 = 3*w - 2*i + i - 7. Let c(t) = -10 + 7*t**2 + t**2 - 9*t**w. Suppose 4*l = -2*l. What is c(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -5*x + 17, 0*p - 3*p = 4*x - 16. Let h(b) = 1 + 34137*b - 5 - 34015*b - 1. Let y be h(x). Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 + 2033504?\nAnswer: 2033522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 121*d**2 - 151 - 11443*d - 7773*d**2 - 81 + 232 wrt d?\nAnswer: -15304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 12, 7 in descending order.\nAnswer: 12, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9146, -18694, -28238, -37778, -47314, -56846?\n\"Answer: 2*p**2 - 9554*p + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.980253 - -1.770143.\nAnswer: 2.750396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 (base 9) in base 13?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -9204604 to the nearest 100000.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of 3661*r**4\/12 + 467*r**3 - 3438*r. What is the second derivative of q(c) wrt c?\nAnswer: 7322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 404 = -1074. Let j = f - 62. What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/2 + 165\/44)*28. Let n be j\/(-14)*-4 - (4 + -4). Solve -13*y - 23 = -n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 4*z**2 - z. Let i be (-12)\/(-18) - 32\/12. Let a be (-8)\/12*i\/(-4)*-27. Let q(y) = -y**2. What is a*q(g) - 2*w(g)?\nAnswer: -2*g**3 - g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of u**4\/12 - 2*u**3\/3 + 29*u**2 + 19*u. Let a be o(0). Let x = a + -48. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14200?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from {d: 9, q: 4, a: 3, l: 4}.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oztkqeok. What is prob of picking 1 o, 1 k, and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 231819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -317 - 10. Let q = k - 120. Let a be 4\/6 - (-29)\/(-3). Is q bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2747749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/4476 and -11\/338684.\nAnswer: 1016052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67619 is divided by 328?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -13\/4*f**4 - 6 - f - f**2 - 2\/3*f**3. Suppose 0 = -2*x + 2, -3*v + 4*x = -7*v. Calculate r(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 25443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 67, -4, -25 in decreasing order.\nAnswer: 67, -4, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 o when four letters picked without replacement from {o: 6, h: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 215 - 117. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 57*d**2. Let w(h) = -9*h**2. Determine n(w(l)).\nAnswer: 4617*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -7*x**2 - 30*x - 2. Let i(m) = -8*m**2 - 30*m - 3. Let k = -130 + 127. Let u(r) = k*a(r) + 2*i(r). Solve u(s) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 85*p - 90*p + 285. Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 0, 120465 in descending order.\nAnswer: 120465, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 4*m**2 - 5*m - 3. Let v be a(-3). Let i(c) = -7 + 11 - v*c**2 + 2*c**2 + 4*c. Let q = -7 - -11. What is i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -10*a**3\/3 + 5*a - 11. Differentiate q(h) wrt h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238784 = 106*w - 960*w + 2086*w + 1680*w for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3126064 divided by -752?\nAnswer: 4157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1919 is divided by 214.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 7:59 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -219 + 230. Let j(y) = y**2 - 10*y - 11. What is j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 225, -3, 69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7623 + 86 = -304*a - 2019 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 times 903?\nAnswer: 7224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -41062466, -41062511, -41062594, -41062721, -41062898?\n\"Answer: -i**3 - 13*i**2 + i - 41062453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**3 + 4*a**2 - 10*a - 12 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -9*m - 120. Determine u(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -6*g - 17. Let q be o(-4). Is 2\/q + ((-53520)\/(-56) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**2\/3 - 724*f\/3 + 35728\/3 = 0?\nAnswer: -406, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 42 - 12. Suppose -q*i = -2*i - 72. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16180865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 3848 = -616. Is d\/10 - (-24)\/(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-11 - -10) - (163\/(-12) - (-57)\/228).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33791, -51302, -80487, -121346?\nAnswer: -173879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -35669046*q**3 + 2*q - 44121849 wrt q.\nAnswer: -214014276*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3*b**3 + 2*b**2 - b. Let c be w(1). Suppose 0*d + 5*d = 25. Does d = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/117)\/(110\/44). Sort 0.4, -1, v, -2.\nAnswer: -2, -1, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25\/263707 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v - 76. Let o(t) = -t - 35. Let s(j) = -6*c(j) + 13*o(j). Suppose -6*r + 3 + 3 = 0. Let i(a) = -2*a + 2 + 2 + 0. Give r*i(d) - 4*s(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/6*16\/(-6). Suppose -w*k + 5*k - 10 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101111100110000110 + 100000101?\nAnswer: -10101111100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 29*g**2 + 3*g - 2. Let w be k(-4). Suppose 48 = -3*z + w. Let b = 687 - z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(11\/4))\/(u\/(u\/(u**8\/u*u))))\/((((u**(2\/7)\/u)\/u)\/u)\/(u*u**(-5)*u)) assuming u is positive.\nAnswer: u**(-281\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = p - 1311. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -11 + 0 + 2 - -4 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -4. Let j be 1*(q + -1 + -7). Is j < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -21\/10, -0.049, 4\/5?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(3\/2) - -34. Let p = -923\/132 - 80\/33. What is the common denominator of p and (-12)\/v*460\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 10*c - 5 + 2*c - 2*c. Let l(q) = 11*q - 6. Suppose -5*z = 10, -d - 4*z = -0*z + 18. Let p be 4 - 25\/d*-4. What is p*o(h) + 5*l(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 78*b - 81*b - 12. Let k(v) = 0*v - 5*v + 0*v - 4. Let h(y) = 4*y + 3. Determine b*h(d) - 3*k(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 141632450\/11 less than 12875678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 300 - (4 + -10 - 0) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 1644, -23, 53 in decreasing order.\nAnswer: 1644, 53, -13, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.3256 - -0.1376. Let n = c - -0.088. Let w = -6 - n. Sort -2, w, -2\/3 in ascending order.\nAnswer: -2, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/((-3)\/(-1)))\/(13\/(-13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -8. Suppose 3*m = 5*r + 6*m - 67, 0 = 4*r - v*m - 61. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 37 - 30)*(-17*i**3 + 24*i**2 - 26*i**2 - 4*i**3) as y + p*i**3 + q*i + l*i**2 and give l.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -102*y + 103*y. What is the smallest common multiple of 28 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 124 - 116. Suppose -v*b + 7 = -1. What is the second derivative of 31*l - 10*l**2 + l**2 + b - 32*l**2 wrt l?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4013683575 to 4 decimal places.\nAnswer: -0.4014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + z + 1652 = -572, -9 = -3*z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2200 divided by -440\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-3 + (sqrt(847) + 1 - sqrt(7))**2 - (1 + sqrt(28) + ((sqrt(7)*2 + sqrt(7))*6 - sqrt(7))))*6.\nAnswer: 6*sqrt(7) + 4178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 6951*j + 27092. Calculate p(-4).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2486115 and 2020.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.8 - 0.2. Let v = 0.09956 + 0.30044. What is the closest to 6 in 4\/3, f, v, -0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 189\/8  (b) 0.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 54*m**2 + m + 201.\nAnswer: 108*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away 9780?\nAnswer: -9785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*t**3 + 1337*t**2 - 4*t - 506.\nAnswer: 12*t + 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 + 31. Let w(d) = -d**2 + d. Let g(f) = 6*f**2 - 3*f. Let q(b) = n*g(b) - 3*w(b). Let o(i) = i**2 + 4*i**2 - i**2. Give o(q(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -430 - -448. Calculate the least common multiple of k and 93.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 + 852*v + 14684. Determine h(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (-1 + 10 + 3 + -16 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2. Let s(g) = 6398*g**2 - 102198*g + 7488*g**2 + 1558*g**2 + 102198*g. Give p(s(f)).\nAnswer: -238517136*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 3*d + 52 = -13 - 76, -21 = -8*f - d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.025, 0.2, -0.08829, -8.\nAnswer: -8, -0.08829, 0.025, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1354?  (a) 3  (b) 49  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 9*c - 5. What is t(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 - (7 - (-3 + 12) - 70119) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1933\/5 - -381. What is the common denominator of o and -16\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence of when two letters picked without replacement from ooooooooyooofooo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 38*o + 186. Give j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 17 = -4*c + 21, g - c = 22. Let s be (-212)\/g + 2\/(-9). Calculate the least common multiple of 10 and 3\/s - (-13)\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -17. Let d(z) = z + 4. Let t(x) = 2*x + 1 + 5*x - 2*x - 4*x. Give b*d(a) - 2*t(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2867 + 1432 - 5*a**2 + 1448 in the form f*a**2 + h + p*a and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/35)\/(404\/1010)*(-63)\/6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 121844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i - 11. Let v be t(8). Let m be 6\/4*7\/v. Is -1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58\/10 + (-2784)\/480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11.8 + -0.2. Let d = 13 + w. What is the third biggest value in 6, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 882*w - 173. Is l(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 80)*(-2)\/(-3). Let j = -691 + 951. What is the highest common divisor of j and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42497 - 148.48772.\nAnswer: -42645.48772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -265, -264, -263, -262, -261?\n\"Answer: y - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 p, 1 i, and 1 x when four letters picked without replacement from xivvpxvpvxnvxpbvx.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 426 + -197. What are the prime factors of s?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*q - 33, 0 = 2*m + 2*q - 816. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h**2 - 5*h**2 + h**3)*(36*h**2 - 21*h**2 - 47 - 18*h**2).\nAnswer: -3*h**5 - 47*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25297289?\nAnswer: 25297289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -24  (c) -1  (d) -0.02  (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3*a + 6 = 6*a, 0 = -3*o + a + 14. Suppose -2*l + o = -0*l. Solve 3*h - 27 = -5*z + 4*h, -4*z + 24 = -l*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/40*-8 - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 353011\/22 - 16041. What is the common denominator of y and (-2)\/(-5) - (-199)\/90?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 2*u + 2. Let h be r(-2). Suppose h*b + t = 2, -t - 1 = 5*b - 3. Is -7\/13 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6840 divided by 3.\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*l - 132*l - 26 - 22.\nAnswer: 93*l - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1120396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2127\/5 + 425. Which is the fourth biggest value?  (a) 1\/6  (b) 0.2  (c) t  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -85 - 23 - 58*v - 632 - 27*v + 16 with respect to v.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -x**7\/8820 + x**5\/420 - 11*x**4\/24 - 3*x**2. Let f(o) be the second derivative of z(o). Solve f(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from omoxmiioooixxix. What is prob of sequence ommo?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-4) + (-9)\/4. Let p be (-44)\/11 - ((3 - 8) + 2). Sort p, o, -5.\nAnswer: -5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -188*w - 106*w + 2176776. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/748)\/((-176)\/484)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/8 and -14\/1387.\nAnswer: 11096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14)\/(-70) + 6\/(-5). Let s be (-15)\/((-3)\/(-1)) + f. Is 2\/s*-318*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -14 + 47 - 33 - 2*t. Let p(l) = -2*l. Let i(q) = -4*b(q) + 3*p(q). Let c(x) = 21*x - 2. Give i(c(s)).\nAnswer: 42*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -14. Let s = 11 - l. Let c(w) = 8*w - 12. Let b be c(5). What is the highest common factor of b and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 101*p - 473832 + 22160. Calculate the highest common factor of 104 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2450 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/49 + (-1656)\/(-805).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -604e (base 15) to base 2\nAnswer: -100111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2467.97197+7334\nAnswer: 4866.02803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of -x**5\/60 - x**4\/4 - 2*x**3\/3 + 31*x**2. Give i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.07818, 73, 2\/3, -5.\nAnswer: -5, 0.07818, 2\/3, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1889702, -1889674, -1889646, -1889618?\nAnswer: -1889590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130513 divided by 115.\nAnswer: 130513\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3171005 and 10355?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -674 - -310. Let k be 7\/(t\/200) - -1*4. Is 1 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - d = 67, -16 = -2*x - 4*d + 2. Suppose 16*t = x*t. Solve t = -4*z + 9 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 58*s + 1128. Let f be v(-19). Solve -102*u - f = -89*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12728 and 119362?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.7554 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1944939 less than or equal to -5.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16.927 - 38.068. Let h = x - -0.141. Put -2, 0, 2, h in increasing order.\nAnswer: h, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 24\/7, -46, -91?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -273 and 0.1?\nAnswer: 273.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 264 and 10.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.00785 centuries in millennia?\nAnswer: 6.300785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4781345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -138 and 0.03.\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(2\/4)*(-5)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12 - 14355?\nAnswer: -14411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/((-3)\/(-4)) - 53. Let g = -54 - k. Suppose 123 = 2*p + g*q, 2*p = -3*p + 3*q + 255. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 + 7205.2865.\nAnswer: 7205.4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 - (-5 + 14 + -8). Let q be ((-36)\/10)\/6 - (-323)\/o. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1388626 + 198572590\/143. Let r = z - -82\/13. Let x(y) = -y**2 + 2*y + 3. Let p be x(-2). Which is the smallest value?  (a) r  (b) p  (c) 2  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 + -26. Suppose 3*s - 3*k - o = 9, 5*s - 35 = 3*k. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -22*i**3 + 836*i**2 + 2*i - 72. Calculate l(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 24 = -5*s, 5*k - s - 24 = -0*s. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.94 + 45.06. Let n = q - 51.2. What is n rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18411 to the nearest one hundred.\nAnswer: 18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -86 - 5. Suppose y - 4*m = -l, 27 - 8 = 5*y + m. Let t(r) = -r - 3. What is t(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g - 30. What is y(15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16619\/2 - 8310. Let q = 0 + -0.14. Which is the third smallest value?  (a) -4\/7  (b) f  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -17379695?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 92 - 96. Suppose 0 = -s - r - 3*r + 10, r - 5 = s. Let n be (-5)\/2 + s\/(-1). Which is the biggest value?  (a) x  (b) 0.7  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 8423 = -h + 16903. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 69 + 256 = 0. Let b(j) = 8*j - 1. Let n(v) = -41*v + 5. Determine q*b(u) - 2*n(u).\nAnswer: -6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l + 24. Let r be u(-11). Suppose -121 + r*j + j**2 + 121 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 140137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 9) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78 by -4.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -199*a**5\/5 - a**4\/6 - 298*a**3 - 347*a. What is the second derivative of b(o) wrt o?\nAnswer: -4776*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.1, 2, 1\/3, 6, -314.65.\nAnswer: -314.65, -0.1, 0.1, 1\/3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n*n**8*n*n))\/n)\/n)**(3\/40)\/(n**(-18)\/(n\/(n\/(((n\/(n\/(n\/(n\/n**(-1\/14)*n))))\/n*n)\/n)))) assuming n is positive.\nAnswer: n**(4187\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(1539)*-3)**2*-4 + sqrt(1539))*5*-3.\nAnswer: -135*sqrt(19) + 831065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + d + 57. Let h be w(0). Suppose 5*m - h = 33. Suppose -u - 88 = -2*t + 3*u, -2*t + 100 = -u. Calculate the remainder when t is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -480*-13\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((-4 + -1 + sqrt(605) + sqrt(605))**2 + -2)*4 - ((2 + sqrt(605))*6 + sqrt(605)*-3 + -2)**2).\nAnswer: -1540*sqrt(5) + 4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416 (base 9) in base 15?\nAnswer: 4b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152 = -n - 3*n. Let f = n + -22. Solve -f = 8*o - 4*o + y, -o + 3*y - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52411 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g - 1. Let r be y(2). Suppose 4*w = v - r, -34 = -5*v + 2*w + 35. Solve -4*t - 22 = 2*l, 2*l - v = 3*t + 3*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - t - 33 = 0, 3*t - 107 = -110. Sort 2, 1\/5, x, 1, -3 in descending order.\nAnswer: x, 2, 1, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13890 + 9643?\nAnswer: 23533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 198 divide 49500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**3 - 33*m**2 + 78*m + 7. Calculate k(-11).\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 6*l**2 + 3*l - 1. Let u(p) = 3*p**3 - 11*p**2 + 5*p - 2. Give 11*o(t) - 6*u(t).\nAnswer: -7*t**3 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -4957\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 12:41 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of -41*y**4\/12 - 91*y**3\/3 - 2*y**2 - 52*y. Differentiate m(l) wrt l.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -542.9 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17080 and 1274?\nAnswer: 1554280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 55038808 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76042 + 76048. Let w(z) = 0*z**2 - 4*z**2 + 3*z**2 + 8*z + 0*z**2 + 1. Determine w(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) - (-2 + sqrt(1331) + 1)) + (-5 + 3*sqrt(539))**2.\nAnswer: -210*sqrt(11) + 4877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40157228?\nAnswer: 2, 29, 103, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -74 + 126. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 198 + -196.97. Let p = -1.132 + g. Let x = -0.088 - p. What is x rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(6)\/sqrt(3) - (sqrt(2) + 2 + 0).\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 535 - 535.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*t**3 - 2\/3 + 2\/3*t**2 - 2\/3*t.\nAnswer: 2*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*u**2 + 368 + 58*u - 58*u.\nAnswer: -7*u**2 + 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23174582 to the nearest integer?\nAnswer: 4814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**26)**(1\/6) assuming o is positive.\nAnswer: o**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -670033.19 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*x - 45, -4*p + 55 = 4*x + 15. Let y = -71 + 90. Let r = y - p. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 divided by 25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 + 5*w - 1. Let x be a(-4). Let v = -0.3 - -0.8. Let d = 1804 - 1803.9. Sort x, v, d in ascending order.\nAnswer: x, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*r**2 + 23*r**2 - 43*r**3 - 3 - 9*r**2 - 6*r**2 wrt r?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (99\/(-27))\/(-11)*(-696)\/(-1 - 3) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5595, 6178, 6751, 7308, 7843, 8350, 8823?\n\"Answer: -v**3 + v**2 + 587*v + 5008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1.217639l?\nAnswer: 1217.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 73982*w - 75187*w - 134960 for w.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 867825546 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + -1. Let s be (2 - x)*(1 - 0). Suppose 0 = -d - s*d + 31. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/6*(-2)\/(-10))\/(27\/(-60)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/27  (b) 0.4  (c) -2  (d) 1\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 9214429.\nAnswer: 9214429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (5 - -41) + -13 + -90\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((54\/81)\/((-3)\/(45\/(-4))))\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 261637.245 rounded to the nearest ten?\nAnswer: 261640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 62801 and 251204?\nAnswer: 251204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - (6 + 24 + -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (30\/(-9))\/(4\/(-36461376)). Let w = -96384453 + f. Let q be (-6)\/33 + (1 - w\/33). What is q rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 6*r. Suppose -6*n + n + 10 = r. Suppose -u + 7 = l, -l + u + 17 = n*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + -2)*(1484\/(-3339) + (-74)\/36).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 604 - 602. Suppose 0 = y*z - 169 - 137. Suppose 0 = 2*i - 5*i + 51. Calculate the greatest common factor of z and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 815?  (a) 0.4  (b) -7  (c) 5  (d) -0.4  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/2 + 1\/6. Let j = -4.03 - -0.03. Which is the second smallest value?  (a) 4  (b) j  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(1 - 15 + 2)*(3*i - 5 + 5).\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q**3 + 2*q + 1. Let b be j(-1). Let r be (3\/(-18))\/((-2)\/b). Let t = 2 - 3. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**4\/4 + 501*l**3\/4 + 2981*l**2\/4 + 5451*l\/4 + 1485\/2 = 0?\nAnswer: -495, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 203 + -200. Solve t - 5 - 6 = -o*p, -15 = -5*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 5*m**3 + 25560*m**2 + 43554240*m + 24738808320 = 0.\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*f + 14*f**3 - 15*f - 3*f**2 - 15*f**3 + 2*f**2 - 16*f to the form u*f**2 + l*f**3 + h*f + c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 530695 is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*y + 64*y - 5*y + 8 - 10*y.\nAnswer: 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*f - 460*f - 7*f.\nAnswer: -538*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -16*v - 28. What is the tens digit of k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20233?\nAnswer: 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d - 33 + 0*d + 29. Let h(i) = 2 + 5 - 14 + 6. Determine -5*h(l) + y(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83391, 83398, 83409, 83424, 83443?\nAnswer: 83466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*f + 5*n, -f + 4*n + 4 = -5*f. Suppose -6*c = -f*c - 18. Factor 0*p**2 - 3*p**4 + c*p**2 - 3*p**5 - 7 + 6*p**3 + 4 - 3*p.\nAnswer: -3*(p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46 - 45. Let f(y) = -h + 11*y**2 - 12 + 3*y**2 + y. What are the prime factors of f(4)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -210, 1\/2, 2.\nAnswer: -210, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 4*q + 3*r - 25, 5*q = -5*r + 20. Let w(p) = 3*p. Let g = 2 - 1. What is the smallest common multiple of w(g) and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence azz when three letters picked without replacement from {a: 1, p: 2, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -9*c + 83. Let r be s(9). Solve 0 = -r*m + 5*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 = 9*c - 5*c - 5*n, n = 3 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (14\/7)\/(43 + 0). Let x = 6387\/8 - 274829\/344. Let j = s + x. Is 2\/5 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(((s\/(s**6\/s))\/s)\/s)*s\/s**(-11)*s**(-3\/11)\/s**(-2\/3) assuming s is positive.\nAnswer: s**(640\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5692*g**2 + 3739*g?\nAnswer: 11384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k. Let z(b) = 3*b - 3*b + 8*b**2 - 10*b**2. What is c(z(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 9*y**2 + 3*y + 3. What is b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 6:28 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.039, -1\/2837, 65?\nAnswer: -1\/2837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8409 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*t = 3*t + 7, 0 = k - 4*t - 16. Suppose 0 = k*a + 4*f, 4*a - 4*f = f + 36. Suppose 0 = n + 4 - 14. What is the remainder when n is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -220.97 plus -92.85?\nAnswer: -313.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 14, 106, 264, 488, 778, 1134, 1556?\n\"Answer: 33*t**2 - 7*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 83476*s + 1669495. What is x(-20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31442 or 31444?\nAnswer: 31444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 3*x**2 + 1482*x = 0.\nAnswer: -494, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000052611 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = o - 25156, 5*p = 5*o + 8*p - 125780. What are the prime factors of o?\nAnswer: 2, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 437963681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -131.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -8*k**2. Let q(z) = -2*z + 65. Let o be q(29). Let m(n) = -6*n**2 + 589 + o*n**2 - 589. Determine m(v(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000306899352 to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9\/6)\/((-6)\/(-16)). Let y be f\/((2 - 5) + 1). What is the smallest common multiple of ((-8)\/y)\/(3\/12) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -256*t**2 + 61*t**2 + 60*t**2 + 66*t**2 + 60*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -845.47 - -845.1493024. Let l = n - -0.5706987. Let u = l - 0.25. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-3)*528\/440?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (49 + -43)*2\/(-36). Sort h, 0.28, 3, 2.\nAnswer: h, 0.28, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -4*r + 1. Let x(s) = -3*s. What is x(a(h))?\nAnswer: 12*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 + 41. Calculate the smallest common multiple of 1 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 26. Suppose y = 5*b - 6. Solve 8*a + 3*i = b*a - 34, -4*a + 4*i - 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 + 4*s + 27. Give h(-15).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 5*c - 3. Calculate n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.123*246\nAnswer: -30.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-80*i**2 - 160*i**2 - 226*i**2)*(2*i + 1 - 1) + 0*i**2 + 0*i**2 + 2*i**3 to z*i**2 + p*i**3 + v + f*i and give p.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 734546805.\nAnswer: 3, 5, 73, 419, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*i - 101 = 0, -5*a + 142 = -0*a - i. Let o = 42 - 24. Suppose f + 7 - o = 0. What is the remainder when a is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tytyyyyyy. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 90734*c**3 - 5*c**2 - c. Let n be m(1). Let i be (-8)\/84 + n\/84. Calculate the highest common divisor of i and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 258 in -3, 4, -2\/63, -0.254?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g - 24*g + 7*m = 16 + 237, g + 3*m = 101 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63873?\nAnswer: 3, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 58560871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*a - 5*w + 360, 4 = 2*w. Let q = a - 1222\/7. Factor -6\/7*s - 9\/7 + q*s**2.\nAnswer: 3*(s - 3)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 45072*j**2 - 4184*j + 192938357?\nAnswer: 90144*j - 4184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.17 - 0.03. Sort a, 5, -5.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1600361261.\nAnswer: 73, 101, 217057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 596*r - 2994. Give v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4099 - 4098.9. What is the biggest value in -6, n, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.1 + -2.9. Let l = 10.1 + t. Let g = 629\/21 + -89\/3. Which is the nearest to l?  (a) 3\/5  (b) g  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 4*o**2 + 2. Suppose -4*t - c - 6 + 20 = 0, -c - 6 = -t. Suppose -3*h = -4*h + t. What is m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, -0.4, -0.07, 2\/13, 3 in descending order.\nAnswer: 26, 3, 2\/13, -0.07, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/5 - 126279*u\/5 - 14634908\/5.\nAnswer: -(u + 116)*(u + 126163)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 7*y - 17 = -7*t, 5*y - 26 = -2*t. Solve -35 = y*f + f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 0.4. Let s = -15.8 - -16. Let t = 1.9 - 2. Sort s, t, w.\nAnswer: w, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a + 0 - 4*a**2 - 1\/6*a**3. Let s(l) = 197*l**2 + 202*l**2 - 401*l**2. Calculate c(s(b)).\nAnswer: 2*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 733 divide 41337535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-399 - 196*w + 399)*(0 + 2 + 1) to g*w + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 4:32 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 613884*k**3 - 368088*k**2 wrt k?\nAnswer: 3683304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 464)\/(2\/(-2))*-4. Let u = f - -12945\/7. Calculate the common denominator of u and -2 + -61*(-2)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -4 + (0 - 1 - (-12 - -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1207055*a - 644662*a - 2636910*a - 2332725*a.\nAnswer: -6821352*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (32 - 6*j**2 - 8*j**2 + 16*j**2)*(-2*j**2 - j**2 + j**2) as z + w*j**2 + u*j**3 + n*j + b*j**4 and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, x: 13, b: 3, i: 1}. Give prob of sequence ew.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.84 + -7. Let p = -0.04 - a. Let g = 79735\/6 + -13289. What is the closest to 2\/7 in g, -0.1, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -80191 + 2.05545\nAnswer: -80188.94455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/8, -0.5, -14\/9, 2\/3, 3, -1\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t. Let b be s(4). Let o be 3 + 6\/(-3) + b. Is -2 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/((1\/1)\/(1\/((-9)\/(-3)))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.189833095536674 - -5?\nAnswer: 5.189833095536674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + 470*w - 17497. Give j(40).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -93?  (a) 6\/7  (b) -1\/5  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -81037, -162248, -243409, -324496, -405485?\n\"Answer: 4*f**3 + f**2 - 81242*f + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -32*d. Let i(l) = -2640*l**2 + 150*l. Let n(r) = -71*r**2 + 4*r. Let o(t) = 2*i(t) - 75*n(t). Calculate o(y(x)).\nAnswer: 46080*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -4\/5*v**2 + 3\/5*v + 2 = 0.\nAnswer: -5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 2*g - 5. Suppose -l = -19 + 7. Suppose 5*j + q - 21 = 3*q, 4*q = -l. Does 6 divide a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27715345 (base 9) to base 12\nAnswer: -4711b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 96, -29, -265, -1.\nAnswer: -265, -29, -1, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 3107184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 + 5167. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**6\/60 - r**5\/20 - r**4\/12 - r**3\/3 + 2*r**2. Let o = -20 - -8. Let a be o\/((-8)\/(-2)) - -1. Give s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233872 is divided by 236?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -71 - -71.02. Let m = k - 0.32. What is the closest to -0.2 in 0.4, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppppppppxpp. Give prob of sequence xp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14009 != 13989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -25*r - 296. Let s be h(-12). Calculate the highest common factor of s and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2482328 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(2\/5)*w\/(w\/(w*w**(-2\/5)))*(w\/w**(9\/5))\/(w*w**(-12)) assuming w is positive.\nAnswer: w**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 372, -0.3, 22\/7, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30537438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + z**2 - z - 1. Let p(t) = -2*t**3 - t**2 + 2*t + 1. Let q(y) = -p(y) - w(y). Solve q(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 7267350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 105*d - 803. Is 17 a factor of s(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 9:33 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 8724.352 to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 - 6*r + 8. Let n be v(6). Let c(g) = -5*g + 4 + 3 + 6*g. Let o be c(-3). What is the greatest common divisor of n and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -269, -4, -104, -122 in decreasing order.\nAnswer: -4, -104, -122, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t + t + 2*t. Let m(l) = -7*l. Calculate p(m(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - y**3 - 2*y**2 - y + 3*y**4 - 351 + 349 in the form r*y**2 + m*y + w*y**3 + s + j*y**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {l: 11, u: 4, v: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1204664734+0.3\nAnswer: -1204664733.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -1 + (16 + -2 + -7 - 14) + 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2*1*sqrt(300) + 2*sqrt(3)*-1 + ((sqrt(12) - (0 + sqrt(12))) + sqrt(12))**2.\nAnswer: 11 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z + 6. Let t be d(-8). Let o(q) = 9*q**2 + 3*q + 5. Let m be o(t). Solve 0 = r - 5*g, 7 = -5*r - 3*g + m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 - -24. Let i = 9 + m. Is i not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 - -28 - -35 - 36.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*q + 1007 = 127*q - 1392 - 697 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -19663, -17673, -15683, -13693, -11703, -9713?\n\"Answer: 1990*v - 21653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 5*u**2 + 18*u - 68. Calculate s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -9*j + 4*j - 30618, -2*t - 5*j + 20412 = 0. Let l be -30*(2 - t\/3). Round l to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -28a9?\nAnswer: -28a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 97*d - 90. Let x be v(-96). Let o(w) = 3*w - 4. Let g be o(4). What is b in -4\/3*b**3 + x*b + 0 - 8\/3*b**4 + g*b**2 + 2\/3*b**5 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 670100093.\nAnswer: 13, 4597, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -83*f**6\/40 + 29*f**4\/8 - f**3\/3 + 344*f**2. What is the second derivative of j(l) wrt l?\nAnswer: -1494*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/371178 and 17\/423.\nAnswer: 17445366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.8104859ng?\nAnswer: 0.0008104859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/13 - 2142*v\/13 - 70516\/13.\nAnswer: -2*(v + 34)*(v + 1037)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*d, 4*d = 4*l + 69 - 265. Suppose -4*f + l = -136. Calculate the least common multiple of f and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 462477?\nAnswer: 3, 154159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 1:17 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -66, -239, -530, -945, -1490?\n\"Answer: -d**3 - 53*d**2 - 7*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.6 in -0.01, 1.3, -19, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.86 * -1.82.\nAnswer: 5.2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 8115 in descending order.\nAnswer: 8115, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 7*z - 11*z. Is z > 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -2*h**5 + 320*h**4\/3 + 1328*h**3 + 7552*h**2\/3 - 8096*h - 6144 = 0.\nAnswer: -6, -2\/3, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 506, 512, 518, 524, 530?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2772 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4535b00 - c?\nAnswer: -4535b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -270 + 417. What is the greatest common divisor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -7*h**5\/60 + 3*h**2\/2 - 4*h. Let r(t) be the first derivative of n(t). Let q(o) = -o. Determine q(r(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*m**3 - 154*m + 154*m.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/2 - -4)\/1. Let v(t) = 2*t**2 - 2*t - 2. Let j be v(h). Suppose j*u = r + 19, 8*u - r - 49 = 3*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((704\/(-99))\/32)\/(2\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11)\/3*(-5 - -2). Let v = 2\/45 - 4013\/180. Find the common denominator of v and (1\/o)\/(6\/183).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + (31 - 31) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + 14. Let v be h(0). Suppose -2*q - 9 - 11 = -3*d, 2*q = 2*d - v. What is the smallest common multiple of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/(-10) + (-5 - (-212)\/20). Let r(v) = -7*v - 3. Let l be r(-3). What is the second derivative of 15*u**b - 1205*u + 1188*u + l*u**4 wrt u?\nAnswer: 396*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/5  (b) 3  (c) -14  (d) 2  (e) -25.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0377 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**2 + 82*h + h**3 + 6*h**2 - 19.\nAnswer: h**3 + 82*h - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9121656.\nAnswer: 2, 3, 17, 79, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -119143 by 421.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2691 + 2676. Let x(y) = 9*y - 71. Let r(g) = -5*g + 36. Let n(f) = 9*r(f) + 4*x(f). Let t be n(l). What is the greatest common divisor of t and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*f + 8 - 11*f + 3*f)*(-2*f**3 + 2*f**3 - 2*f**4).\nAnswer: 6*f**5 - 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -268\/1460081 or 0?\nAnswer: -268\/1460081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h**18))\/h)\/h)\/((h**(3\/13)\/h)\/h) assuming h is positive.\nAnswer: h**(-237\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -23, -223, -601, -1157, -1891, -2803?\n\"Answer: -89*w**2 + 67*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1, -0.3, 4, 1\/7, 143, -529?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8552641, 8552645, 8552649, 8552653, 8552657, 8552661?\nAnswer: 8552665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 4 = 4*z - 8*z, 2*u - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 2*k - 3*k + 3, 5*v - 5*k = 25. Suppose a = v + 2. Solve -6 = a*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 9, 1, 605, -3 in descending order.\nAnswer: 605, 9, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.881 - 368573721?\nAnswer: -368573723.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 96  (b) 4  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fmw when three letters picked without replacement from {f: 8, m: 10, w: 1}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31.8971 - 0.1029. Is n < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 4:14 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12205*u = -4041*u - 544274 - 76190 for u.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -36b (base 15) in base 16?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*z**2 - 362*z + 362*z - 222*z**2 - 12*z**2.\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 300772019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 4) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 7*c + 4. Let b be t(-6). Suppose b = 4*i + i. Put i, -3, -2 in decreasing order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**2\/4 + 2872392*l + 8250635801664 = 0. Calculate l.\nAnswer: -5744784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 509 is divided by 88?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-50376)\/(16\/(-2)) - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2628851018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 17*p - 12. Calculate x(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-10) + 10\/(-75) + 160\/165. Which is the nearest to 0?  (a) j  (b) -5  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*b - 3*b. Let c(g) = -5128*g**3 - g**2 + g. Let w be c(b). Let n = 51181\/10 + w. What is the common denominator of n and 51\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5 and 254?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tugg when four letters picked without replacement from utugtgguuuutuugguut?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(-7)\/5 + 2. Let z = 26.9 + 0.1. Let v = z - 22. Put v, a, -5 in descending order.\nAnswer: v, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3237052?\nAnswer: 2, 7, 13, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 306234979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j + 1740 = 1890. Solve 3*p + 4*v = -j, -3*p + 11 = p - 5*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (22 + 33 - 64)*(4*d + 2*d - 5*d)*(0*d**3 + d**3 + 0*d**3) - 28*d**4 + 18 - 18 in the form m*d + g*d**4 + q*d**3 + h*d**2 + f and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3770.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1869639719?\nAnswer: 17, 73, 1506559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3223011120 + -202?\nAnswer: -3223011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.8  (b) -0.36  (c) 3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(500) + 0 + sqrt(45) + 2 + -5 + 2 + -2.\nAnswer: -3 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 60*g**2 + 85*g - 8875. Give f(61).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5961595, -11923186, -17884775, -23846362, -29807947?\nAnswer: -35769530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 3*y. Let f = 7.9 + -7.9. Let l = 45 - 42. Which is the nearest to y?  (a) 1  (b) l  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4 + 4.5. Let f = -5 + i. What is the nearest to -1\/3 in f, 3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - x + 9 = 0, 5*x = 9*m - 14*m. What is the closest to -1 in -0.032, m, 0.5?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(13\/4)\/r)\/r)\/(r\/(r\/r**(-1\/2))*r))\/(r\/r**12*(r**(-1\/34)*r)\/r) assuming r is positive.\nAnswer: r**(801\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2158 - -3623. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1955 and 127857?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1 + (-3 + sqrt(320))*6 - (1 + 0 + sqrt(320))*5).\nAnswer: -48*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**2 + 29*i + 12. Let b be v(-9). Let p be b*(-6)\/36*5. Solve -p*l = -17 + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4380 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50 and 10520.\nAnswer: 52600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 3 = -a, 3*a - 5*p - 567 - 570 = 2*a - 1140 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -b**6\/120 + b**5\/10 - b**4\/2 + b**3 - 6. Let n(c) be the third derivative of t(c). Factor n(j).\nAnswer: -3*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 (base 8) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**3 - 2*n**2 - 4*n. Let k be d(3). Let l be (117\/k - -3) + 1\/8. Solve -u = u - l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 56997.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 17995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22202 (base 3) to base 9.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12\/18*(3\/(-6))\/1\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 -2*y**2 - 9*y - 1. Suppose 0 = 7*m - 3*m + 24. Let c be v(m). What is the greatest common divisor of 45 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 23\/3?  (a) 0.4  (b) 1\/3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 95942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of r**4\/12 + r**3 + r**2\/2 - 2*r. Let l be f(-6). What is the greatest common divisor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 181 divide 1228266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -4, -84, 3\/31, 0.1, 0?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 1332?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -3, 13, -7, -57 in decreasing order.\nAnswer: 13, 2, -3, -5, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -o**3\/3 + 14*o. Let h = -5 - -9. What is the remainder when n(-7) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1495248 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, z: 7}. What is prob of sequence fzzz?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 138. Let q = -221 - -223. Let m(c) = 529*c**2 + 526*c**2 - 1057*c**q. Give o(m(s)).\nAnswer: 4*s**4 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4603.973l to millilitres.\nAnswer: 4603973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73924375937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, o: 3, s: 1, e: 3, m: 6}. What is prob of sequence mmoi?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 5:57 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -420 divided by 4\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/108*-6)\/((-4)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*(b**0\/b)\/b)\/b)**(2\/63))**(-6\/13)*(b**(2\/9)\/b*b*b**(-2))**(-11\/6) assuming b is positive.\nAnswer: b**(8044\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3922 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 2:55 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -9*c**3 - c**2 - 1. Let q(z) = -z**3 - z**2 - z. Let r(m) = i(m) + 3*q(m). Suppose 191*f + 318 + 143 = 79. Is r(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2603934 = -20*g + 1993526. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-24)*1*2)\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/((-21)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 c when four letters picked without replacement from ccziczizipccciiicig.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 123 - 121. What is the closest to -0.2 in j, 0.06, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**3 - 2*u**2 + u. Let s(m) be the first derivative of 0*m**2 + 1\/3*m**3 + 0*m + 10. Let b = 327 + -329. Calculate b*s(d) - o(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5, 15, 23, 29, 33, 35, 35?\n\"Answer: -l**2 + 13*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.4972 + 0.0972. Let i = 3.1 - 3. What is the second smallest value in i, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 180 by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) + 3*sqrt(1377))**2*-1 + (sqrt(1377) + 1 + (sqrt(1377) - (sqrt(1377) + 1) - sqrt(1377)))**2 + -1.\nAnswer: -22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -19*p + 112. Let d(n) = 15*n - 111. What is 5*d(v) + 4*r(v)?\nAnswer: -v - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.64 + -0.7. What is the biggest value in 2\/5, m, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 1\/5  (c) -101  (d) 332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11354509, 11354512, 11354517, 11354524, 11354533, 11354544, 11354557?\nAnswer: 11354572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(10)\/(sqrt(2)*-2*3) - ((sqrt(45) + 2)**2 + sqrt(60)\/(-2*sqrt(12))))*-1.\nAnswer: 35*sqrt(5)\/3 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -r + 8. Suppose 0 = 5*z + 4*d - 20, 4*z - r = d - 3*d. Factor 2\/7*x**2 + z*x - 2\/7.\nAnswer: 2*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9963219 minutes to microseconds.\nAnswer: 59779314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 0\/(-5) - -2. Suppose -x*n = -3, -3*b - 77 = -b + n. Let o = b + 39. Sort o, 1, 4 in descending order.\nAnswer: 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of 7*c**6\/30 - c**5\/4 - 3*c**4\/4 + 5*c**3\/6 + c**2 - 114*c + 128. Let f(y) be the first derivative of p(y). Factor f(w).\nAnswer: (w - 1)**2*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2)*79)\/(((-324)\/(-162))\/(-4))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 232034 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 103486392 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 + 5*l**2 - 3*l + 4. Let a(i) = -i - 17. Let f(u) = -u - 18. Let m(x) = -3*a(x) + 2*f(x). What is the remainder when n(3) is divided by m(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, j: 1, n: 6, p: 1, i: 1, f: 3}. What is prob of picking 1 n and 1 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p*p**(-1\/2))))**(19\/5)\/(p**(-3)\/p**7) assuming p is positive.\nAnswer: p**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 18 = -3*u, -8*l - 5362*u + 24 = -5352*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/(-51))\/((-2)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129592151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1134 - 7057\nAnswer: -8191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/3 - 226*m\/3 + 12769\/3.\nAnswer: (m - 113)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -13006*p + 195078. Give k(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -14*(-1)\/(6\/207). Suppose 3*u - z + 110 = -4*d, -d + 82 = -3*u. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (165\/22)\/(-15)*28\/(-6)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4\/51, 0.1, 4, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 152\/2 + (-2)\/(-2). Suppose -2*x + 3 - 5 = -4*j, 0 = -2*x + 5*j - 5. Suppose x*s + 12 = h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 20 = -4*k, d - 9 - 6 = -3*k. Suppose -k*q + 9*q = 80. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 64666, 129405, 194144, 258883?\n\"Answer: 64739*u - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 257434 + -0.2.\nAnswer: 257433.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-5)\/z**(3\/20) assuming z is positive.\nAnswer: z**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-13 + 18 + 13 - 15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -38 + 271. Let p = f - 238. Let r be 3*(4\/18)\/1. What is the nearest to 1\/4 in p, r, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-29))\/(o\/o**(-36)))\/(o**1*o*o\/o**(-9)*o) assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(3 - 0) + (-2)\/3. Let s = 39 - q. Is s a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnjl. Give prob of picking 2 n, 1 j, and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 159094213 minus -0.24?\nAnswer: 159094213.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -217 - -217. Is -3\/248 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*d + 41*d + 1 + 0 + 7.\nAnswer: 18*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28667 and 2367?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 435 (base 12) in base 3?\nAnswer: 211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 3*d + 13, -2*r - 4*d - 4 = -6*r. Suppose -r*o - b + 89 + 146 = 0, 2*o - b = 245. What is the highest common factor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 8, i: 2, g: 3, v: 3}. Give prob of picking 3 v and 1 o.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 20, 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8.35 and 2102.\nAnswer: 17551.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 20 times 1653\nAnswer: 33060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -79, -171, -299, -463, -663, -899?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 5, -4, 21, 31 in decreasing order.\nAnswer: 31, 21, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1386 and 2116818?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 145 + 50 + -153 + 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 0*v = 5*v - 6*v - 6*w + 5, 168*v + 815 = -5*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - 8*h**2 + h - 4. Determine i(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 28, -18, -5, 4 in increasing order.\nAnswer: -18, -5, -2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -9064 divided by 389?\nAnswer: -9064\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1015 and 2?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*x + 207 - 685 = 0, -4*i = 5*x - 969. Calculate the remainder when i is divided by 80.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of t**3\/3 + 9*t**2\/2 - 9*t + 4. Let p be q(-10). Are 3\/4 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 8. What is the lowest common multiple of 18 and w(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yq when two letters picked without replacement from xfxydqxxyqxx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 1 = 5. Let v(g) = g + 3. Let k be v(-2). What is the nearest to k in -2, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -510, -587, -664?\n\"Answer: -77*x - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2628510912 to the power of 1\/2, to the nearest integer?\nAnswer: 51269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160 (base 13) to base 8.\nAnswer: -367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 83 in 8, 60\/37, 0, 1\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.047, -3, 0.07, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*h = -82*h - 5*h + 6713. Put 13, -4, h in increasing order.\nAnswer: -4, 13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -624 divided by -4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 29117 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35418\/204895 + -17\/953. What is the common denominator of g and 1\/45?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/5 + 7046214*b\/5 - 12412282933449\/5.\nAnswer: -(b - 3523107)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mggm when four letters picked without replacement from {t: 2, m: 4, g: 2, n: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 d when three letters picked without replacement from {d: 2, j: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -7 + 5 - 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 16*p + 47. Let s(x) = -49*x - 141. Let j(u) = 7*k(u) + 2*s(u). Differentiate j(z) with respect to z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6*4\/6)\/(-2*13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**4\/12 + 5*n**3\/6 + n**2\/2 - n. Let v be h(-5). Solve -3*w - 4 = -v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.0077 + -500.2377. Round t to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 76*l**3*y**5 + 3147994*l**3*y**3 + 2*l**3*y - 269887966*l**2*y**2 wrt y?\nAnswer: 4560*l**3*y**2 + 18887964*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 4*t + k, 5*k + 41 = 3*t - 31. Solve -1 + t = -6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -546541347 - -546541186.0000228. Let i = y - -161. What is i rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 3*a**2 + 5. Suppose -4*g - 53 - 687 = 0. Let z = g + 261. Let t be (-32)\/144 - (0 + z\/(-18)). What is k(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2853.6971 rounded to 0 decimal places?\nAnswer: -2854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 14 = 6, 2*v - 54 = -2*d. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -34*h - 34. Let u(w) = 98*w + 103. What is -4*u(l) - 11*v(l)?\nAnswer: -18*l - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 45, 41, 21, -21?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 17 (base 9) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/70 and 5\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1, -46\/5, -338, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -486 + 500 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 981336226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64 and 5602624?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -846*b - 4 + 2*b**2 + 0*b**2 + 846*b. Let k(z) = -z**2. Give k(n(i)).\nAnswer: -4*i**4 + 16*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 126774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.4, 0.3, 57.\nAnswer: 0, 0.3, 0.4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 8:58 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 40*z + 361. Calculate f(23).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of (-6)\/108 + 19446\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.03, -0.07, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 4*t = -16, -700*l + 703*l - 13 = 2*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1017\/(-12))\/((-2)\/8). Suppose 2*z = 5*z - p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by ((-46)\/(-4))\/((-6)\/(-12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y - 18 + 40 = 0. Suppose -y*z + 4*z = 38. What is the highest common factor of 133 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34 + 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 154 + -93 + 35 - 105\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 128 in 2, -1\/6, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 136 divided by 201\nAnswer: 136\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 418 divide 135518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6022141.02 minutes to weeks.\nAnswer: 597.434625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -719\/1960 - 2\/245. Let l = -26 + -6.5. Let f = 32 + l. What is the nearest to 2\/7 in f, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and -13817014.05?\nAnswer: 13817014.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 85\/(-17) - -19 - (-6 + 24 + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, 2, -44, -2598 in decreasing order.\nAnswer: 18, 2, -44, -2598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5242 or 5244?\nAnswer: 5242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -98 - -62. Let r = h + 42. Solve c - r*c = 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*y + 4*y - 2192. Let r = y + 471. List the prime factors of r.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -6c07678?\nAnswer: 6c07679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -53*g - 8. Let l(x) = -27*x - 4. Give 2*k(s) - 5*l(s).\nAnswer: 29*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 18. Suppose -c - 4*c = 155. Let k = -19 - c. Let m be d(k). Solve m = -2*z - 2*y - 0*y, y = 2*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.4 + 22.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3058.5 - -3058.50000044402. Round t to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4\/11 and 42847318 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 11 = y, 3*y + 489*t = 493*t - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 3:26 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1359, -0.021, 0, -1\/2 in descending order.\nAnswer: 0, -0.021, -1\/2, -1359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, g: 3}. What is prob of sequence vg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 208, 850, 1924, 3430, 5368, 7738, 10540?\nAnswer: 13774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**5 - 44*q**5 - 12*q**5 + q**5 + 5*q**5 - 4*q**5 + 2*q**3 + q**5 - 2*q**3 + (5*q**4 - 2*q**4 - q**4)*(2*q - 1 + 1).\nAnswer: -49*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -b, -b - 1 + 0 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 + -17. Suppose 0 = -3*o + 6*y - y - h, o - 18 = -5*y. What is the units digit of (5 - 4) + o*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*m**2 - 74*m - 10 + 76*m + 10 + 7*m**3 in the form g*m**2 + u*m**3 + h*m + y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9 + -0.5. Let g = 0.1 + p. Suppose 2*t = -5*w + 10, 2*w - t = w + 2. What is the third biggest value in -0.4, g, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 + 6*h - 30. Let j(i) = i**2 - 3*i + 14. Let n(x) = -6*b(x) - 13*j(x). What is n(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of 5*b**9\/3024 - b**5\/60 + 5*b**3\/3 - 3. Let y(i) be the third derivative of g(i). Find the second derivative of y(j) wrt j.\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 179786, 5, -13, 2\/11 in decreasing order.\nAnswer: 179786, 5, 2\/11, -3\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 93*g = -95*g - 51276, -g - 128198 = 5*d. Round d to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/10*0\/(-1). Suppose -6*b + b = r. Solve 2*a + 4 = -b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/18*22 + -5.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 4:43 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3*p - 24. Suppose 3*u = -3 + p. Let i(j) = 0*j + j + 0*j - u*j - 4. Calculate i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**3 + q**2 + 2 + 25*q**4 - 15*q**4 + 2*q - 12*q**4 as m + a*q + s*q**4 + c*q**3 + l*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 30746519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 + 1. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 l, and 2 w when four letters picked without replacement from {l: 2, w: 1, h: 8, s: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -959, 308, 5739, 17416, 37421, 67836, 110743, 168224?\n\"Answer: 347*g**3 - 1162*g - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(2 + (6*-5*sqrt(720) + sqrt(720) - (sqrt(720) + 1 + sqrt(720) + 1))*-2))**2.\nAnswer: 35712*sqrt(5) + 11070864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94*p**4 + 3 + 91*p**4 + 60*p**3 - 2 + 86*p**3 to the form f*p**4 + b*p**2 + u*p + w + k*p**3 and give k.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 0. Let j = -3.199 - -9.199. Which is the closest to j?  (a) -1  (b) -0.7  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 53*z - 94. Let t(v) = -1. Let q(a) = 53*a - 98. Let h(s) = -q(s) + t(s). Let u(j) = -5*b(j) - 6*h(j). What is the first derivative of u(n) wrt n?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.519793mg in grams?\nAnswer: 0.001519793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -123 - -123.0219. What is o rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24\/(-616) - ((-20)\/7 + 3). Which is smaller: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u + 28*u - 8*u - 3*u - 2*u**2.\nAnswer: -2*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0509820109 to 5 dps.\nAnswer: -0.05098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*y + 22*y = 52*y - 228 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 2)*(2*j - 2 + 2) + 0*j + 3*j - 2*j - 15771 - 69*j + 15771 in the form l + x*j and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 45*s - 16 = 49*s, 4*q - 2*s + 40 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8.4  (b) -4  (c) 71  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 364 - 33. List the prime factors of j.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g + 4*z = -31*g - 17035, 5*z = 2*g - 6831. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1936822604 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) - ((0 + sqrt(80))*-6 + sqrt(80)))**2 + 4 - (sqrt(20)\/(6*sqrt(64))*-6)**2.\nAnswer: 46139\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from iiihihhhhhihi?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1897187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 593*s. Let d(j) = 73*j**2. Give q(d(i)).\nAnswer: 43289*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 34\/(-4) - (-441)\/(-294). Let d(k) = k**2 + 11*k - 6. Determine d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 5  (c) 4  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*i - 72\/5*i**2 + 0 - 12\/5*i**3 + 2*i**4 - 1\/5*i**5 = 0. What is i?\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0095752493 to 4 decimal places.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 + 10992*p**2 + 10676973075 + 18279434*p + 1857910*p + 1620231661.\nAnswer: 2*(p + 1832)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -103 - -91.9. Let y = 11 + c. Which is bigger: 1\/2 or y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -141\nAnswer: -5\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.3 - 1.2999883. What is l rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 25 = -d, 2*h = 4*d + 5*h + 95. Let y = 27 + d. Let t(i) = 6*i + 4*i**2 - 2*i - y + 5*i - 1. Let u(w) = w**2 + 2*w - 1. What is -2*t(q) + 9*u(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 129, 3\/7, -2, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1525706\/31 or 49217?\nAnswer: 1525706\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 8.9. Let w = -0.3 + j. Let k = 3.6 - w. Which is the smallest value?  (a) 0  (b) -2\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3382940 divided by 76885\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -465663, -931316, -1396969, -1862622, -2328275, -2793928?\n\"Answer: -465653*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 29 - -19a?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8400578.4s?\nAnswer: 2333.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3692*f**4 - 2390*f**4 + 7232*f**4)*(-2*f - 2*f + 2*f) + f - f - 2*f**5 - 8183*f**2 + 8183*f**2.\nAnswer: -2302*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 3*s + s + 664, -4 = -z. Let w = 294 + s. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 7.92. Let d = 0.4 - 0.5. Is w less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5305131 (base 6) in base 9?\nAnswer: -432501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/154*14\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of 7*t**2 + 200*t - 89. Let n be i(-14). Solve v - m + 0*m = -5, -n*v = 2*m - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4\/5)*w*w\/((w*w*w*w\/w**(-5)*w)\/w))**19*(w*w**(1\/2))**(-3\/11)*(w\/w**2)\/w**(-2) assuming w is positive.\nAnswer: w**(-16237\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3198606 is divided by 615.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -26165185, -26165186, -26165187, -26165188, -26165189?\n\"Answer: -l - 26165184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -2.363?\nAnswer: 11.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 3*l**3 - 3*l**2 + 2*l - 1. Let b(s) = -s**3 - s**2 - s + 1. Let d(r) = -2*b(r) - f(r). Let h = 40 - 35. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/27)\/(5\/(-10)). Solve o - 2\/3*i + 2\/9*i**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2*p + 38 = 3*p, 5*p = -3*r + 50. Suppose -3*w = -7 - r. Suppose y + w = -4*i - 2, 5*i + 19 = -3*y. Is i at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 + 11*h**2 - 4*h - 5. Let z(j) = -309*j**3 - j + 4*j**2 + 218*j**3 + 92*j**3 - 2. Give 4*o(g) - 11*z(g).\nAnswer: -3*g**3 - 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -185, 4, 0 in decreasing order.\nAnswer: 4, 0, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -47182 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((o**27*o)\/o)\/o**(1\/14))**(-6))**31)**(-3\/16) assuming o is positive.\nAnswer: o**(105183\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115 - 112. Let h(m) = 8 - 6 - m**v + 10*m**2 - 5*m**2 - 4*m**2. Determine h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1198065267 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 854.99 - 859. Let i = z + 0.01. Sort 3\/7, 1\/7, i.\nAnswer: i, 1\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 (base 10) in base 16?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -z**6\/3 - 4*z**5 - 5*z**4\/2 + 80*z**3\/3 + 36*z**2 - 120. Find x, given that s(x) = 0.\nAnswer: -9, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30428 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*i + i - 1564 = -5344. Calculate the smallest common multiple of i and 243.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b - 1 + 3*b + 97409*b**2 - 97404*b**2.\nAnswer: 5*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 191376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**4\/24 - o**2. Let x(h) = -h**2 + 15*h - 18. Let t be x(12). Let r(z) = t*z + 10*z + 20*z. Calculate f(r(m)).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Total of -0.6 and -21.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1325177 = 2*i + q, 0 = 5*i - 4*i - q - 662593. Suppose 16*g = -75390 + i. What is g rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t - 8. Let o be v(-6). Let i be 1\/o*2\/(-3). What is the nearest to i in 0.4, -1\/3, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19.599 + -20. Let b = i + 0.39813. Round b to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 511 - 516. What is the biggest value in -229, -4, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 28 = -2*n. Let s = n - 27. What is the closest to s in 5\/2, -13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(1\/5)*w))**(2\/51) assuming w is positive.\nAnswer: w**(-2\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 30627.48 and 0.02.\nAnswer: 30627.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 179207 + -4?\nAnswer: 179203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 131 - 102. Let r = u - 29. Solve -10*y + 15*y - 15 = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 5*s**2 + 9*s + 2. Let t(q) = -3*q**2 - 4*q - 1. Let v(p) = 7*t(p) + 4*w(p). Let n(z) = 67*z - 6. Let r be n(2). Let d = 136 - r. Determine v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k - 29*k + 3789 = 0. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94161 + 80965 = 36*x + 46498. Calculate the highest common divisor of 72 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (29 + (-42 - -24 - 23)) - (135 - -2).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23006388 and 584?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 40644595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 88*k**2 + 4146*k - 28044.\nAnswer: 2*(k - 6)*(44*k + 2337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.252 * -0.017842\nAnswer: 0.004496184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of 5*r**7\/2016 - r**6\/288 + r**5\/480 + r**4\/4 + 5*r. Let o(b) be the third derivative of h(b). Factor o(u).\nAnswer: (5*u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3160 minus 8670632?\nAnswer: -8673792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -3, -15, 4, -2, -8 in decreasing order.\nAnswer: 8, 4, -2, -3, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 17237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lglfdykd. Give prob of sequence ldy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 544\/816 + 490\/21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 283 = -4*p + 2*a, 2*p = 5*a + 161. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l + 8. Let y be n(6). Suppose -3*u + 15 = -5*i - 4, 0 = 3*u - i - 23. Calculate the greatest common factor of y and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5636 is divided by 112?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 10:47 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/724836 and 65\/3986598?\nAnswer: 7973196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 37 = 5*t, 4*t = -q - 56455 + 56472 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2816))\/((1*sqrt(36))\/sqrt(9)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 + 5*k. Let n be r(-5). Let p be n + -1 + 7 + -6. Suppose p*u - 22 = -u. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8 - 6)*(-5)\/((-30)\/144). Solve 7 + n = 11*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of d**3\/15 - 3*d**2\/5 + 9*d\/5 + 2. Factor a(f).\nAnswer: (f - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 303*b**2 + 2*b**3 - 6*b**4 - 307*b**2 + 3*b**4 + 1 - 3*b - 4*b**4 to the form d*b + r*b**2 + n + x*b**3 + y*b**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 1314 = 2*q, -5*q = 7*j - 4*j - 3311. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 - -152. Calculate the highest common divisor of 627 and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 6:28 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, -0.9, 1.6, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -i**3\/3 - i**2\/2 + i + 2812. Let a(x) = -58*x**2 - 87*x + 87. Give -a(m) + 87*s(m).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*c + 20*c = -238 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4922355 + 60*k**2 + 4922355 + 4*k**2 + 87*k**2.\nAnswer: 151*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v + 0*v + 2*v. Suppose -32 = -3*w - 5*x + 12, 2*x = w. What is the lowest common multiple of z(-8) and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 596*v**2 + 1141*v**2 + 39*v**2 + 230*v**2 - 2*v + v.\nAnswer: 2006*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 8*l - 12. Let r be o(2). Solve 0 = n - 1, r*d + 0*d - 2*n = -18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1968508 rounded to 3 decimal places?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 742.2 and -0.219041?\nAnswer: 742.419041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4b102a (base 15) to base 9.\nAnswer: -6683214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 15956 = 792. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/16, -1, -25, 0.01 in ascending order.\nAnswer: -25, -1, -0.4, -1\/16, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (426\/(-40) - (-9)\/(-15))*4. Let t = -9 - u. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -113 or -451\/4?\nAnswer: -451\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 3*s - 2 - 7, -2*q + 2 = 2*s. Suppose 3*j - 74 - 7 = 3*g, 5*g = -15. What is the greatest common factor of q and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -9. Suppose 37*g - 30*g - 112 = d. Solve 0 = 2*n - 5*q + 24, 0 = 2*n - 4*q + g + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from uwzczauwwbzwczw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*j + 15, 10 = 4*l - 2*l. Let w be j\/(-6) + 6\/4. Find the second derivative of -1 + 3*o - o**w + 1 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 736343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12832 and 992.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 + 21*m + 24.\nAnswer: -3*(m - 8)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 602352630 divided by -18810.\nAnswer: -32023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - sqrt(56)\/sqrt(648)) + sqrt(3969)\/sqrt(7) - (-5 + (sqrt(252) + -2*sqrt(252)*1 + sqrt(252))**2).\nAnswer: 5 + 89*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51273 + -51228. Suppose -2*t + 182 = 20. What is the remainder when t is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 261*r - 3*r**3 + 7 - 90*r - 8*r**2 + 23*r**2 - 85*r - 84*r to w*r**3 + a*r**2 + h + l*r and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3596*t**2. Let w(n) = 2*n. Calculate w(m(o)).\nAnswer: 7192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4149*j**2*r**3 - 2*j**2 - 2*j*r**6 + j*r**2 - 131*j*r + j wrt r.\nAnswer: -24894*j**2 - 240*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 - 0.1. Let n = -2280 - -9117\/4. Which is the fourth smallest value?  (a) -0.3  (b) 1  (c) n  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/7*(-1)\/((-1)\/(-1))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(18)\/sqrt(2))\/(6*sqrt(3)*-1))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184 = -475*i + 521*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 3  (b) -324  (c) -8897  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*q + 15 = 3*q, -q = -k. Solve -x = 3*f - 20, -5*x + k*x = -f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -454 * 0.473\nAnswer: -214.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -2*g - 278. Let u(l) = 0*l - 3 + 0 - 4*l + 3*l. Give 2*u(d) - 3*x(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**3\/3 + d**2 + 2*d - 19. Let i be t(2). Factor -66 - 2*h**3 - i*h**4 + 2*h**2 + 2*h + 66.\nAnswer: -2*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/3 - 819076*t\/3 - 83860686722\/3.\nAnswer: -2*(t + 204769)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(2)*-1 + sqrt(30)\/sqrt(2)*5)\/(sqrt(160)\/sqrt(8)*5).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -3*d - 2. Let k(n) = -n. Let h(j) = -4*k(j) + l(j). Let g be h(2). Suppose g = -p + 9. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 460 + -465. Which is the second smallest value?  (a) l  (b) -2\/155  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(1\/(6\/33)))\/((-3)\/(-462)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 3. Let s(r) be the third derivative of r**2 + 0*r - 1\/6*r**3 - 1\/8*r**4 + 0. What is s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3196 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 5:43 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6589 - 7578. Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2385\/22 - 514837\/198. Let k = -2498 - g. Find the common denominator of -17\/9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 40733?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35120.\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(7))*4)**2 + sqrt(70)\/(3*sqrt(10)).\nAnswer: -191*sqrt(7)\/3 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*r**2 + 48*r**3 - 21*r**3 - 4*r**2 wrt r.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(3\/5*-1). Suppose 0 = -3*o + 14 - z. Let i(p) = -p**2 - 4 + 4 - 4*p**2 + 5 - p**o. Give i(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 1:55 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/7)\/w*w\/(w\/w**(5\/3)))\/(w*w\/((w*w**7\/w)\/w)*w**(-5)*w*w) assuming w is positive.\nAnswer: w**(158\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37106.\nAnswer: 2, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26 + 27.6. Let o = p - 1.9. What is the nearest to o in 0.5, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 2*b**2 + 2*b + 1. Let i be r(-2). Let c be -4 + 1 - i\/((-9)\/453). Let v = c + 767. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3264 and 11372?\nAnswer: 9279552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4540, -5924, -16392, -26864, -37340?\nAnswer: -47820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -289891.\nAnswer: 1449455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 19*s**2 - 19*s - 17. Let y be c(20). Suppose j = -y*j - 5*h + 18, 0 = -5*j + 2*h + 39. Solve 4*q = 5*x - 21, 5*q - j = 4*x - 31 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**4\/15 - 8*g**3\/5 - 4*g**2 - 56*g\/15 - 6\/5.\nAnswer: -2*(g + 1)**3*(g + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(1584) + 2 + sqrt(1584) + sqrt(1584) + 2)**2*-1 + -5).\nAnswer: -28554 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, -124, -5, 7 in decreasing order.\nAnswer: 7, 1, -5, -6, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*g - 2 = -40*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 317054*b**4 + 23998*b.\nAnswer: 3804648*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51 + 78. Let l be (o - 29) + 765 + 1. Suppose -i = 3*a + 214 - l, -5*i - 562 = -3*a. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or 21004\/4351?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4071)\/6279 + 16\/28 - 7\/(-104)*3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-4))\/((-1)\/2). Suppose 2*q - 5 + u = 0. Suppose 2792 = -q*n - 2*j, -2*n + n + 2*j - 1408 = 0. What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 6*g + 7. Solve -2*j + 2*i = 6, 0*j + 6 = -g*j - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 5*s + 38, 4*s - 17 + 51 = 3*z. Let n be 124\/z*27\/6. What is the tens digit of (-3)\/(-6)*(-1 + n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/512 and -21\/248?\nAnswer: 15872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s**3 - 5. Let i be (-3)\/(5\/((-210)\/9)) - -1. Let h(r) = r**3 + 2. Determine i*h(a) + 6*j(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1. Let s be (2 + 0)*(-16)\/a. List the prime factors of s\/(-3)*(-9)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - (-1)\/(-3)) + (-46157)\/(-303). Suppose 3*c + 125 = -4*r - g, 3*r + 94 = -c. Is -94 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 374*u**2 - 242 wrt u.\nAnswer: 748*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 10*r**2 - 4*r - 4. Let y(i) = -i**2 + i + 1. Let p(m) = h(m) + 6*y(m). What is p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88 divided by 88\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -38 - -73 - (0 - -7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 1 + 3)*(-30 - 66 - 59) - 3 - 2 + 3 + 3 - 1 - 1)*(-2*p - 4 - 5 - 3).\nAnswer: -308*p - 1848","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -328*s = -381*s + 53. Let g(f) = -11*f**2 + f - 3. Let c be g(5). What are the prime factors of s\/2*0 + c\/(-3)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*a + 0 = -6, 4*n - 3*a + 4 = 0. Suppose f + 20 = 4*p, n*p + 7 = -f + 23. What is the least common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = 55 + 85. Let m = h - -22. Solve m*l - 3*j = j - 2, 0 = -l + j - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*v - 4*z + 3, 5*z - 9 = 4*v. Let o(u) = -5*u + 6*u - 2 + 4 - 7*u**3 + 0*u. What is the remainder when 14 is divided by o(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 5  (b) 1\/4  (c) -90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rhhl when four letters picked without replacement from {h: 4, r: 4, l: 8}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 471749708.\nAnswer: 2, 19, 307, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/8)\/q**(3\/8))\/(q\/((q\/(q*q**(-1)))\/q)*q*q**9) assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(104)\/(sqrt(8)*-1)*-4 - (sqrt(156)\/(sqrt(12) - (-1*sqrt(108) - sqrt(108))) + 5).\nAnswer: -113*sqrt(13)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2 + -1.58. Let m = -0.22 + f. What is the closest to 0 in -4, 7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 2*q**2 - q - 1. Let w(z) = -6*z + 297. Let n be w(49). Calculate r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.98 rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 take away 200?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 68\/5*z - 16\/5 - 16\/5*z**2.\nAnswer: -4*(z - 4)*(4*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 46*g**3 - 3*g**2 - 3. Let o(z) = -47*z**3 + 2*z**2 + 2. Calculate -2*c(j) - 3*o(j).\nAnswer: 49*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-108)\/(-8)*4\/6. What is the remainder when 53 is divided by ((-16)\/16)\/(3 + (-28)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -382 divided by 2\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n**3 - 143*n**2 + 200*n + 196. Give y(-49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 5) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17.28 + -14.28. Let o = 0.03 + 0.05. Which is the smallest value?  (a) 2  (b) -4  (c) o  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 4, u: 3, t: 9}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 0*j**5 + 5*j**5 - 361*j**3 + 16*j**4 - 93*j + 125*j**3 + 119*j**3 + 13*j - 424*j**2 = 0.\nAnswer: -4, -1\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of n**8\/336 - 11*n**5\/30 + 17*n**2. What is the third derivative of x(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -257341 (base 11) to base 12.\nAnswer: -176488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 20379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 162\/90*3\/((-18)\/(-20)). Let d(x) = -3 - x**3 + 10*x - 4 + 0*x**2 + 5*x**2. What is the units digit of d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/(-56)*(-1848)\/594.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -392741?\nAnswer: -392743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9363 - 1811451.\nAnswer: -1820814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3\/2 - 204740*t**2 + 4196756200*t - 200972853120.\nAnswer: 5*(t - 40924)**2*(t - 48)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + (sqrt(175) + -1 - sqrt(175)) - -1*sqrt(700))**2.\nAnswer: -30*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**5 + 2184*a**4 - 163392*a**3 - 353152*a**2 + 1342464*a = 0. What is a?\nAnswer: -4, 0, 2, 92, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 - 10 = -4*x + 5*j, 0 = -x + j + 13. What is the greatest common factor of x and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1762 + 2386. Calculate the greatest common divisor of f and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 96364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 2*w - 5149994, -10 = 4*w + 2. What is x rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -36, -73, -110, -147?\n\"Answer: -37*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 12*s - 1. Give a(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2, 2*t - 7*i + 14 = -2*i. What is the common denominator of 59\/16 and ((-146)\/84)\/(t\/6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z - 9. Let o be h(-5). Let b = 0.3 - 0.4. Let q = 0.2 + b. Sort 1, q, o in increasing order.\nAnswer: o, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of 0*n + 0 + 1\/3*n**3 + n**2 - 1\/24*n**4. What is the derivative of a(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1516913*r**3 - 904934 wrt r?\nAnswer: -4550739*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 34408 or -0.94?\nAnswer: 34408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 4 + 2 = 0. Let u = -0.9 - 0.3. Let a = u + 0.8. What is the second biggest value in a, 1, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 143146968*u**4 + 22*u - 4799504.\nAnswer: 1717763616*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + g = -6, 3*b - 5*b + 20 = -4*g. What is the tens digit of (10 - -9)\/(-1 + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2102915 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -1 + (-2 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -102990, -213818, -324646?\n\"Answer: -110828*l + 7838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/1920 and -3?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*m + 7181 = 90*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -126*r + 2. Suppose -5*t = 5*l - t + 25, -2*l - 3*t = 17. Let s be c(l). Suppose 3*g - 31 - s = 0. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i + 0 + 2\/5*i**2.\nAnswer: 2*i*(i - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -380788*b**6 - 12*b**4 + 3*b**2 - 365066*b wrt b?\nAnswer: -45694560*b**3 - 288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -721119, -1442247, -2163375, -2884503, -3605631?\n\"Answer: -721128*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3035350047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z - 3*z + 4*z)*(2*z**3 - 6 + 6) + 33*z**4 - 40*z**4 + 19*z**4 as g + j*z**4 + o*z**2 + u*z + v*z**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11690 - 11888 = -18*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -4848?\nAnswer: -4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 26820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -113ab + 33ce?\nAnswer: -dfdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4705958 - 2*y**2 - 4705958.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -72, -147, -228, -315, -408?\n\"Answer: -3*y**2 - 66*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x + 5*x - 2*x = -334 - 100 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, u: 1, a: 2, q: 1, z: 1, f: 7}. Give prob of picking 1 u and 1 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -3\/4  (c) -8\/11  (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 6:31 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, h: 2, f: 4, z: 5, t: 5}. What is prob of picking 1 q and 1 f?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -v**5\/4 - 115*v**4\/12 - 305*v**3\/3 - 400*v**2 - v - 204. Factor s(l).\nAnswer: -5*(l + 2)*(l + 5)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 44*r - 5. What is the tens digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 3*u - 6, y + 7 = -3*y + u. List the prime factors of (0 - 1) + (-3)\/y*84.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 579 + -299. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/12 + 5571\/27. Suppose -4*j - j - 3*r = -30, 5*r = -25. What is the highest common divisor of j and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40866057?\nAnswer: 3, 73, 62201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14852347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -217*b**3 - 3*b**2 + 5*b. Let j(q) = 1084*q**3 + 16*q**2 - 26*q. Give 16*i(h) + 3*j(h).\nAnswer: -220*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 4\/3*g**3 + 0 + 1\/12*g**4 - 2*g**2 - 4*g. What is the units digit of y(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = r - 4*a, 45*a = -r + 42*a - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -9*q**2 + 61*q + 10. Let x be p(14). Let f = 928 + x. Calculate the remainder when f is divided by -1 + 2\/(-1)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.55310999 to three dps.\nAnswer: 3.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = p - 10. Suppose 23 + p = a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84 - -93. Solve 10*b - 13*b - i = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 75711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 g, and 1 i when three letters picked without replacement from itiimiwtimtg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14) + 1*sqrt(14))*-3)\/(2*sqrt(98))*-5*-2.\nAnswer: -30*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -610\/296173 or -1?\nAnswer: -610\/296173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125, -250, -375?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*x - 17*x = -77. Let j be 2372\/22 - 2\/x. Suppose 5*o + 28 = j. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 218 + -228. Let o = p - -56. Calculate the remainder when o is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 e when four letters picked without replacement from effeeefefffefffefee?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x. Let m(k) = 14*k**3 - k. Suppose 0 = -3*s - 0*s + 3. Let c be m(s). Let v(a) = -13 - 5*a + c. Calculate b(v(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 120805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 3*x + 3. Calculate the remainder when 37 is divided by p(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.23\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s - 3. Let y be w(3). Suppose -f + 11 - 4 = 0. Let b = f - y. Solve 0 = b*t - 16, -u = 3*u + 2*t + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1243 - 1230 + 481*z**2 - 468*z**2 + 2473.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -128, -594, -1510, -2984, -5124, -8038, -11834?\n\"Answer: -18*v**3 - 117*v**2 + 11*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 2\/3, -0.5, -3, -93 in descending order.\nAnswer: 9, 2\/3, -0.5, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17429 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28791702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -234 + 295. Let u = m + -60. What is the smallest value in -4, 3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3231665 (base 9) in base 3?\nAnswer: -10021001202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3790 + 94744\/25. Put -2, a, -9\/5, -5 in increasing order.\nAnswer: -5, -2, -9\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, w: 4, n: 3, i: 9}. Give prob of sequence nwkk.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -10*g - 14. Suppose -4*f - 8 = 0, 6*r - 2 = 14*r + 5*f. What is b(r)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 1 - 3 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31 + 199 - 103)*(-4*s**2 + 3*s**2 + 2*s**2).\nAnswer: 65*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 4*h + 1146000 = 0, q + 104505 + 124695 = 2*h. Round q to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0.5, -1, -17449156?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m - 915*m**2 + 456*m**2 - 2 + 4*m**3 + 458*m**2 in the form h*m**3 + k*m**2 + y + r*m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 114113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212 (base 4) to base 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10619 - 10145. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 6. Let d(y) = y**2 + 15*y + 58. Let v be d(-9). Solve -20 = 5*q - 5*t, -1 - m = -v*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 4:08 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 579989094 and 4722?\nAnswer: 4722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 1, -0.028, 1581, -3 in descending order.\nAnswer: 1581, 22, 1, -0.028, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -49 - -145\/3. Let m = 2537\/15 - 169. Let u = -157 + 158. What is the nearest to a in -4, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -11. Let w(v) = v**3 - 2*v**2 - 2*v. Let h be w(j). Suppose 2*f - h*f - 8 = 0. Which is bigger: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6007 (base 11) to base 7.\nAnswer: -32206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5*i = 3826 + 1182, -3*i - 6 = 0. What are the prime factors of o?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**5\/8 + 2*o**4 + 41*o**3\/8 + 13*o**2\/4 = 0.\nAnswer: -13, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7390167 to the nearest integer?\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*15\/(-5)*3\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of o**3*q + 2125*o**2*q - 2*o**2 + 4*o*q + 399*q wrt o.\nAnswer: 6*o*q + 4250*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22 - 25 + 14)*(-3*k**3 + 6*k**3 - 2*k**3 + (k + k - 3*k)*(-2*k**2 + 3*k**2 - 3*k**2)).\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/(-120))\/(99\/55)*(-12)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8013 = b + q - 4*q, 30 = 5*q. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54347 is divided by 9043.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 230*v**2 + 5804*v + 330. What is i(23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/(-4) - 7\/(-1). Suppose -41 - 373 = -5*b - 2*l, 5*b = -r*l + 405. Let z(f) = -2*f. Let s be z(-7). Calculate the highest common factor of s and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a**2 - 3*a**2 + 11*a**2 + 19*a**2 in the form b*a**2 + g*a + c and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 328?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21440120 - 121?\nAnswer: -21440241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1652 and 2?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-21))\/((-7)\/21)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*c**2 + 13*c**2 + 25*c**2.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 3. Let b = -0.4 + f. What is the nearest to 0 in -2\/9, 1, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -301\nAnswer: 120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35\/22 + 12\/11. Let q be (4\/6)\/((-2)\/(-60)). Suppose 6*d + q - 2 = 0. Sort d, 1, t in descending order.\nAnswer: 1, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82737 - -476.\nAnswer: 83213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001913 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yycppywwwwcycypcpcyp. What is prob of sequence yw?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x + 3. Let u be y(-5). What is the units digit of u + -2 - 3 - -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 0.5  (c) -873\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, 8, 3\/278, 25, -3, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j + j**2 + 115 + 100 - 215.\nAnswer: j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6046 + -6045.86. What is the closest to 32\/3 in -5, s, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from ccgggcgcgg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (((-24)\/(-9))\/(-4))\/((-18)\/(-81)). Let r(n) = 2*n**2 - 9. Calculate r(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 6*w**2 + 8*w - 12. Let d be q(5). Suppose -z = z - d*f - 460, -f + 920 = 4*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/(1 + (-1)\/4). Suppose -a - 20 = -2*n. Let h(w) = w + 12. Let i be h(-10). Solve n = 6*g - i*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 11 + 3. Let d = -7.8 - -7. Let o = 1.1 + d. Which is the smallest value?  (a) o  (b) 3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k - 9. Let v(i) = i - 3. Let u(p) = 2*g(p) - 7*v(p). Let o be u(4). Sort o, -0.3, 0.5 in increasing order.\nAnswer: o, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from iiiiiixxiixxiixiiii?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-57)\/95*(-20)\/(-18). Let v be 82\/(-126) - 4\/(-18). Sort -2\/17, 1, v, i in increasing order.\nAnswer: i, v, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.2, 3, -409, -27 in ascending order.\nAnswer: -409, -27, -5, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1690, -1688, -1686, -1684, -1682, -1680?\n\"Answer: 2*b - 1692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 20*u + 352. What are the prime factors of d(19)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 5*j - 70, s = -0*s + 5*j + 6. Let f be (1 - 5)*(-12)\/s. Let i(x) = -x - 2. Let o be i(-3). What is the biggest value in o, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6606.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p*p\/p**9*p)\/p**(-9\/2))\/((p\/p**(-9)*p)\/p**8))**(-2\/7) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-2) + (-40)\/(-16). Let h(q) = 5*q**3 - 1. What is h(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 14070170 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -36137, -46086, -62667, -85880, -115725?\n\"Answer: -3316*u**2 - u - 32820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (0 - -3 - 23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.71 + 3.7767. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c + 4. Let d be o(-7). What is the lowest common multiple of (7 + -1)*(-2)\/(-4) and d\/(-12) + (-3)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + -12 - ((-1 - 2) + (119 - 117))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -40680941*i**3*m - 7*i**3 - 7814*i**2 + 91*i wrt m?\nAnswer: -40680941*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, 9, 29, -5, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 3\/2*m**4 + 51 + 1\/5*m**5 - 5\/2*m**2 - 3*m + 2\/3*m**3 - 1\/6*m**6. Let q(s) = 0. What is s?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-51)\/(-714)*196 + 596\/(-724)*51\/3.\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2472652 - -443790.\nAnswer: 2916442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.6632 - 0.3368. Which is the nearest to -0.1?  (a) 11\/7  (b) k  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3\/2 - 3*c**2 - 3*c\/2 + 3.\nAnswer: 3*(c - 2)*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-8)\/(-6))\/(4\/132). Let w = -31 - -35. Calculate the greatest common factor of b and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -66.636 to zero dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 578893588 and 7735?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -50117000 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of g**5\/20 - 3*g**4\/8 + g**3 - g**2\/2 + 2. Let k(t) be the second derivative of z(t). Find x, given that k(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 217569 = -2*t + 1780411, -3*t = 3*g - 2997015. What is t rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i = -28*i + 42. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + i = 4*i + 29, 3*b - 3*i - 36 = 0. Suppose 0 = -b*h + 118 + 211. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130 divided by 6.\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 = -6*t + 1000. Calculate the remainder when t is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -12, -19, -28?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/283622 or -1?\nAnswer: 1\/283622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 932002 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2)*((-200)\/40)\/((-5)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*(-1020)\/(-680).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 320711 (base 12) in base 3?\nAnswer: 1111002021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r + 10. Let p be c(9). Suppose -103 = -z - 98. Put z, p, -15 in ascending order.\nAnswer: -15, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*z + 2*z = -86*z - 4872 + 282 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 179024924 and 808?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-40) + 47\/(-52)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -541 - -547. Let p be u\/9*(-5)\/((-10)\/(-309)). Which is smaller: -102 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 6*p + 4*p + 583 - 583.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**2*a**(-9))\/(a**2)**(-7\/8)*((a*a**(-15)*a)\/(a\/a**10))**(-50) assuming a is positive.\nAnswer: a**(779\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x - 297679 = -297101 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 8*m**3 - 267*m**2 - 165*m - 26. Determine j(34).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide ((-6 - -4383) + 15)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6*-3.57\nAnswer: -21.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of 1\/60*c**5 + 0*c + 5*c**2 - 1\/24*c**4 - 1\/6*c**3 + 1\/120*c**6 + 0. Solve i(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 9, 1, 4, 1\/2.\nAnswer: -0.1, 1\/2, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011495077 rounded to four decimal places?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*p*u - 1173*p*z**2 - 20*u*z**2 + 3*u*z + 7*u + z wrt p.\nAnswer: -5*u - 1173*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 7:02 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/(-20 - -70))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.6264 - 3.2264. Which is the second biggest value?  (a) 5  (b) 15.36  (c) -1  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137754237 is divided by 2080?\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243)*2)**2 + sqrt(243) + -3 + (sqrt(243) - (-5 + 2*sqrt(243)))**2 - (-5 + ((1*(1 + sqrt(192)))**2 + sqrt(192) - sqrt(192))))*6.\nAnswer: -582*sqrt(3) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 438264 is divided by 73042.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*g = -140 - 4972. Let u(h) be the first derivative of -116\/3*h**3 - 9*h**4 - 4\/5*h**5 - g*h - 78*h**2 - 19. Suppose u(y) = 0. Calculate y.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 - -79. 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: Express -178 - 1855*z**4 - 1848*z**4 - z + 3702*z**4 + z**2 + 2*z**3 in the form p*z**4 + j*z**2 + a*z + n*z**3 + l and give l.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/18580 and -22\/13935?\nAnswer: 55740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + 1 - 1)*(-6*r + 6*r - 5*r**2) + 85*r**4 - 516*r**2 + 516*r**2.\nAnswer: 90*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 184388284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -2*u**2\/5 + 15172*u\/5 + 15174\/5 = 0.\nAnswer: -1, 7587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 25*b. Let n(v) = v + 55. What is w(n(d))?\nAnswer: 25*d + 1375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -3*n + 9, -3*b - 7*n + 15 = -2*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 68541 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s. Let w(z) = -20*z**2 - 403*z + 403*z. Determine c(w(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - -9 - -31) + -7 + -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59035385764*b**3 + 2 - 59035385729*b**3 + 0.\nAnswer: 35*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 + 52 - 17) + -8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 99812100 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 10:40 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -72.593 + 72.4. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 - 4*b - 1. Let c be u(-3). Suppose -5*i + 2805 = -2*o + o, -11198 = 4*o + c*i. Round o to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 986\/170*1120\/(-112)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**3 - 5*f**2 + 5*f + 5. Let x = -659 + 664. Let c be 6*(-4)\/6 - 0\/6. Let v(r) = 3*r**3 - 4*r**2 + 4*r + 4. Calculate c*n(y) + x*v(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2037*q**5 + 1116*q**5 + 1091*q**5 + 2 - 262*q + 18*q wrt q.\nAnswer: 3400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -23*c**2. Let g(l) be the first derivative of 20*l**3 + 1532. Give w(g(q)).\nAnswer: -82800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (15 + -73)\/(-2 - 2)*(8 - 6). Solve i*l - 31 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwyeeeekkeeewey. What is prob of sequence yw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 3*j - 5*j + 107, -2*g - 194 = -4*j. Let x be j\/4 - 1\/(-2). Let m be (x\/10)\/(3\/10). Solve -1 + m = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 18998 and -89212154.\nAnswer: -89193156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of g**2 + 1. Let x(f) = -82*f + 310*f - 78*f - 82*f - 74*f. Give x(r(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 48035796 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1792 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.134 - 2.134. Let a = 0.03 + -2.03. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 763, 772, 785, 802, 823, 848, 877?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)\/(sqrt(9)*1) + -4 + (sqrt(11) + 0 - sqrt(11)))**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2006 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjqj when four letters picked without replacement from jjjjjsqqjqjsbsjqqs.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.26, 2, -1, 0.5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-5 - (1 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {y: 4, z: 15}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -51955 and -3.\nAnswer: -51958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d - 59. Let n be z(-8). Let o(m) = -187*m - 36. Is o(n) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2  (b) 17  (c) -86072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-2) - -7) + (57\/(-30) - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 770*c**3 + 5*c**2 + 521. Let h(p) = -1537*p**3 - 12*p**2 - 1042. Let k(y) = -5*d(y) - 2*h(y). Find the third derivative of k(r) wrt r.\nAnswer: -4656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -643, -774, -1005, -1348, -1815, -2418, -3169, -4080?\nAnswer: -5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 10, 17, 28?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 19 = 2*o, -4*g = 2*o - g + 9. Suppose -1 = p - o. Solve 14 = -c + 4*i + 1, -8 = -p*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 2*f + 3. Suppose -d + 1 + 7 = 0. Is r(d) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*h - 3 + 3 + 3*h + 9 in the form v*h + n and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/400 and -19\/360?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 57*h + 52. Let k be f(-4). Let s = k + 251. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of n**6\/120 + 11*n**5\/60 + n**4\/2 + 11*n**3\/6 + 16*n**2. Suppose -30*g + 15*g = 150. Calculate j(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203473009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3510385 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j - 122 + 6*j + 2*j + 621.\nAnswer: 13*j + 499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 16611708 to the power of 1\/2, to the nearest integer?\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from {v: 1, e: 1, y: 1, m: 4, p: 5, u: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3 + 32*b**2 + 208*b - 1?\nAnswer: 12*b + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {b: 5, k: 13, z: 2}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 67251 + -37222. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1588142 and -72398254.\nAnswer: -73986396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1174619.\nAnswer: 1174619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -129 + 128. Let c(d) = d**3 - d**2 + 1. Let g(i) = 11*i**3 + 3*i**2 - 46. Let p(j) = a*g(j) - 3*c(j). What is the first derivative of p(t) wrt t?\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16038 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 48 = -2*l. Let m = -2 - 2. Let f = m - l. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 982 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/3, 4, 1, -42, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - -1 - (26 + -15 + -24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 136 (base 12) to base 5.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xhpkkxpxxhkxxkxxxxx. Give prob of picking 2 x.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1494 - 729. Is 51 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27564562+-344\nAnswer: 27564218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.02 and -11.5.\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 649107.9 centuries in decades?\nAnswer: 6491079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -462*k**4 + 504*k**2 wrt k.\nAnswer: -11088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4522634707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00486678484 rounded to 7 dps?\nAnswer: 0.0048668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hqhqhqqhqqhh. Give prob of sequence qqhh.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d**4 - 4*d**4 + 9*d**5 - 18*d**3 + 21*d - 2 + 2 + 24*d**2 - 12*d**5 = 0. Calculate d.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 14 - 20 = 0. Suppose -b = -w*b + 535. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddggddd. Give prob of picking 2 d.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 3*o**4\/8 - 3*o**3 + 9*o**2 - 12*o - 1. Factor u(m).\nAnswer: 3*(m - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 362*s - 2072. Give t(6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((-4 + -1*sqrt(700)*-1 + -3)*6 + -1))**2.\nAnswer: -20640*sqrt(7) + 108196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5\/8 + 161*k**4\/4 + 5581*k**3\/8 + 8347*k**2\/2 + 19201*k\/2 + 7448 = 0. Calculate k.\nAnswer: -304, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, w: 4, a: 1, k: 7}. Give prob of picking 1 a and 2 k.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.8 and 2.119732.\nAnswer: -5.9352496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 2*a = 6, 4*y - 20*a - 104 = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + q = 12. What is the lowest common multiple of q and 5 - 5 - (1 - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 25*s**2 + 6*s + 21. Let d be n(-25). Let t = 307 + d. Is t a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 + 12*u + 5. Let n(i) = -i**2 + 13*i + 7. Let w(q) = 5*l(q) - 4*n(q). What is w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/365 and 53\/1679.\nAnswer: 8395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 12, e: 6}. Give prob of sequence nnnn.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233992.\nAnswer: 2, 11, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 - 26. Let y be 12 + -9 - (-4)\/s. Solve -9 = -2*u + o, -y*o + o = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2992\/(-22))\/(-34))\/(1*4\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -6 + 5)*0. Solve k = -4*u - 8 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 + -a4?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10247, -10542, -10839, -11138, -11439?\n\"Answer: -f**2 - 292*f - 9954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 26.543?\nAnswer: 5.3086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (124 - 124 + 89*m - 308*m - 103*m)*((-m + 0 + 0)*(-m**2 - m + m) + 81*m**2 - 81*m**2 + 2*m**3).\nAnswer: -966*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 320\/26 + 516\/(-1677)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3015184067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 40879, 40846, 40793, 40714, 40603?\n\"Answer: -h**3 - 4*h**2 - 14*h + 40898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3389076 is divided by 237.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 2*k + 15. Let f be x(5). Suppose f = w - 3 - 112. Suppose 12*n = 2*p + 7*n - w, -5*p - n = -220. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -190168*s**2 - 185866*s**2 + 371793*s**2.\nAnswer: -4241*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74479.\nAnswer: 71, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 48611676 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -8258*c**3 - 12. Let r(h) = 11363008*h**3 + 16516. What is 3*r(b) + 4129*w(b)?\nAnswer: -8258*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17864 and 264712?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 4*u + 203 = 0. Let c = -7 - u. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -363*m + 1445. Determine i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 3*b = 4*a - 8, 0 = a - 3*b - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 9\/3 + 3. Let n = -7 + v. Let c(y) = -y**3 - 4*y**2 - 4*y - 3. Determine c(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/4 - (-34)\/(-36)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, i: 3}. What is prob of sequence iiih?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t**2\/7 - 527044164*t\/7 + 23147962567204908\/7 = 0. What is t?\nAnswer: 87840694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 - -13. What is the remainder when 25 is divided by v\/(-4)*(4 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72608119 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvcvcvcicmvcmzvcc. What is prob of sequence miz?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8693, -17385, -26079, -34775, -43473, -52173?\nAnswer: -60875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 5*o - 7. Suppose s = -4*s + 40. Let w be -2 - s\/(3 + -1). Let x(y) = -2*y + 3. Give w*b(p) - 14*x(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/1984 and -17\/992?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t. Let i(p) = -4*p - 6. Let f(k) = -3*h(k) + i(k). Suppose 30 = 4*s + 3*b, 2*s + 2*b = 9*b - 2. Suppose 8*w = s*w + 3*w. Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131691030 rounded to the nearest 100000?\nAnswer: -131700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -99 - 14484e?\nAnswer: -1448e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1531 + 773. Is 9 a factor of (-11)\/33 - c\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 209*m + 222*m - 312 = 0, 2*r = 5*m - 120 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, r: 1}. Give prob of picking 1 r and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dcdddwddwdccw. Give prob of sequence wcd.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(132)*3*-6)\/(sqrt(12) - (sqrt(12) + (sqrt(12) + 1*sqrt(12))*-2)) + 2).\nAnswer: -10 + 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 377 and -0.411.\nAnswer: -154.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -d (base 14) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/21 of a week in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3 - d**3 - 12 - 63*d**2 + 12*d + 66*d**2 + 0.\nAnswer: -3*(d - 2)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2*n = k - 13, -3*k + 4 = 2*n. Suppose 3*t = -3*w, -5*t + 3*w = 2*w - 12. Is 8 a factor of -16*(k*1)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -303*q**2 - 20313*q**2 - 10233*q**2 - 16915*q**2 - 3927*q**2.\nAnswer: -51691*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(28))**2 + sqrt(7) - (sqrt(70)\/sqrt(5))\/sqrt(2).\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 6*y + 398 + 5*y - 2*y**2 - 401. Let m(p) = p**2. What is s(m(f))?\nAnswer: -2*f**4 + 11*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/760 and 3\/8512.\nAnswer: 42560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -63*h - 14*h - 9*h + 33 + 31 - 30*h**3 + 35*h**3 + 17*h**2 = 0.\nAnswer: -32\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 134\/8 + 4\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -950 - -955. Suppose -5*b = v - 4, v + 40 = 6*v + l*b. What is the remainder when 58 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.4 - 1.6. Let w = 45\/2 + -22. Let l = 8 - 13. What is the closest to w in l, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 5*x**2 - 15*x + 11. Let g be t(-7). Suppose -3*c + c = -g. Solve c = 3*b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1532340.\nAnswer: 2, 3, 5, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -10101001120 (base 3) to base 7\nAnswer: -364350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 5  (c) 0.4  (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.27 + -4.07. Which is the closest to 2\/7?  (a) -0.1  (b) q  (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -3*f**2 - 22668*f - 22665 = 0?\nAnswer: -7555, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v**4 - 44*v - 25*v**2 - 27*v**2 + 44*v**3 - 6*v**4 + 3*v**4 + 48 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -2. Let s = 742 - 740. Let r(b) = b - 1. Let f(g) be the first derivative of 3*g**2\/2 - 6*g + 32. Calculate j*f(h) + s*r(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3060*k + 15311. What is f(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6557 and 7900.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.8*8692.\nAnswer: 24337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s**(3\/5)*s)*s\/s**13*s)\/((s*s**(-1\/2))\/(s\/(s\/(s*s**3*s)))))**(-26) assuming s is positive.\nAnswer: s**(793\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 71*l = 73*l - 6, -9*v = -5*l + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -93 - -96. Let u(k) be the second derivative of 4*k + 0*k**4 + 0*k**2 + 0 - 1\/4*k**5 + 2\/3*k**f. What is the second derivative of u(l) wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 4) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6627.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*x - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -65*z**2 - 60*z wrt z?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.045508 tonnes in grams?\nAnswer: 3045508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-1 + -5 + (19 - (7 - -12))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y**3 - 75*y**2 + 379*y - 4. Calculate v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -69 + 69.31. Let a = b - 0.3099974. What is a rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from ffipxxww.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 418824.9 years in centuries?\nAnswer: 4188.249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 424*k**4 - 3*k**2 + 21628.\nAnswer: 1696*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 1893*b + 63219. What is j(34)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/2)\/((-4)\/(-16)). Suppose -3*f = -4*v + 34, v + 3*v = z*f + 32. Let s be (1 - 5)\/((-2)\/v). Solve 0 = -5*c + s + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 6*c**2 + c + 7. What is l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4460 a factor of 253965975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -124*j**2. Let r(i) = 7*i. What is u(r(k))?\nAnswer: -6076*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, r: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 264 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 4*k + 0*k = 11, -j - 2*k - 3 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8239, -16476, -24713, -32950, -41187?\nAnswer: -49424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3883995 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) -5  (c) 0.4  (d) -1\/23  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (18\/33)\/((-87)\/(-638))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105120288 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 322 + -179. Let c = 205 - g. Calculate the remainder when c is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5965.837 millilitres to litres.\nAnswer: 5.965837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, -0.2945, -34, 0, -0.4, -0.3?\nAnswer: -0.2945","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 - 42. Suppose f*t - 178 - 141 = 0. Solve t = 5*r + 2*s, -2 = -r + 3*s - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -208 + 218. Let f be ((-8)\/s)\/((-10)\/25). Solve 0 = 6*a + 16 + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14718660 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15548951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - u, 4*z - 2*u = -7*u. Suppose r + 0*m + m + 14 = z, 2*m = 2. Let p = r - -35. Calculate the remainder when 37 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00093749 rounded to 5 dps?\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29\/15 - -7\/3. Let q = 0.8 + -1.1. Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from sssssssgsssssssgsg.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*i = -2*k + 45, 0 = 5*k - i - 192. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 59 + -54. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 13*f + 5*u = -23, -u = 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**2 - 872 - 2*z**2 + 0*z**2 + 5*z**2 - 1720 - 3*z**2.\nAnswer: -2*z**2 - 2592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6153\/34 - 181. Put 0.4, 5, 3, z in ascending order.\nAnswer: z, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11\/((-66)\/(-12)) - (-4)\/(-2). Let i(q) = -2*q + 0*q + u*q. Let t(w) be the second derivative of -5*w**4\/12 + 2*w. Determine i(t(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wadgw. What is prob of picking 1 g, 1 d, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.733 - 3.633. Which is the third smallest value?  (a) -4  (b) z  (c) 1  (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2. Let v(m) = -3*m**2 + 7*m. Let k = -4 - -6. Let j(x) = -6*x + 2*x - 2*x**k + 3*x**2 + 2*x. Let p(t) = -14*j(t) - 4*v(t). Determine n(p(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -14*i + 14. Let o(k) = -21*k + 22. Determine -7*g(r) + 5*o(r).\nAnswer: -7*r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d - 4. Let q be i(-7). Suppose -6*j + 119 = -361. Suppose 0 = -73*h + j*h - 70. Solve -2*t + h = q*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1885*g**2*t + 2*g**2 - 11*t + 59 with respect to g.\nAnswer: -3770*g*t + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/588 and 25\/20727?\nAnswer: 82908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224*b**3 + 108*b**3 + 117*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -612 at least -612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 243 + -235. Suppose 445 = 5*t - 6*g + g, 0 = -4*g + q. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 10 = d + 8*g, 0 = -d + g - 5. Let j(b) be the second derivative of 3*b + d*b**2 + 0 - 1\/6*b**3. Let h(z) = -5*z**2. What is h(j(c))?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5807230\/3*b - 6814\/3*b**2 - 2\/3*b**3 - 5800418\/3.\nAnswer: -2*(b + 1)*(b + 1703)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84 - 30 - 54 + 70*p**2.\nAnswer: 70*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 7:21 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of -b**3\/3 + 62*b**2 + 4412*b. What is p(0)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 71*p**3 + 5*p**2 + 4*p + 1. Let l(o) = -75*o**3 - 6*o**2 - 5*o. Give -6*j(i) - 5*l(i).\nAnswer: -51*i**3 + i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-15)\/(-230))*39*(-32)\/(-832).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 8 - 1 = 0. Suppose 3*a + 3*o = 0, -4*a + 5*o + 24 = j*o. Let h(k) = -k**3 + 4*k**2 + k + 4. Is 5 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 358, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, l: 2}. What is prob of picking 1 o and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 18 = 2*h + 8*a, -3*a - 11 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 43710486 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**2 - x**2 + 8508*x**4 + 11 - 21*x**3 - 8510*x**4 in the form t + z*x**2 + g*x + o*x**3 + a*x**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2 + sqrt(1700)*-2 - (0 + sqrt(1088) + -1 + -4*sqrt(17)))**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 4 - (-210)\/60?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -321 - -335. Suppose 5*c = j - 1 + n, -12 = 4*j. Solve 0 = -c*l + 4 - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/3*7\/(252\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12305767*z**3 - 12588891*z**2.\nAnswer: -73834602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76\/(7752\/1377)*(-9 - (-2 - 1))*-1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-8)*l*l**4*l*(l*l\/((l\/((l*(l*l*l**(-3))\/l)\/l))\/l))**(-15\/7) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2868842217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 4*b - 2. Let i be h(5). Let y(c) = 24441*c**2 + 11*c - 2. Let q be y(i). Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(4\/7)*k*k**(-7)*(k*k**(-3\/7)*k)**(-1\/14) assuming k is positive.\nAnswer: k**(-543\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = -25*z - 256. Let s(a) be the second derivative of a**4\/3 + a**3\/2 + a**2\/2 - a. Is s(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24055.\nAnswer: 5, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -0.9, 2\/15?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 666524 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16006?\nAnswer: 2, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g = 17*g + 28. Suppose 0 = g*q - 19*q + 10. Suppose -2*s - 3*m + 10 = 0, -2*m + 4 = -s + q*s. What is the smallest common multiple of 14 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/24*4\/(-6). What is the third biggest value in u, -17, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 652 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22065963 and 3156.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) 0.1  (c) -0.49  (d) -0.27  (e) 52\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 9*k**5 + 237*k**4 - 183*k**3 - 573*k**2 - 162*k = 0.\nAnswer: -27, -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1662*x - 843*x - 825*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181 + 190 - 555 + 63*q + 184.\nAnswer: 63*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -13\/4, 1.7, 62726\/7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 6*v + 120 - 4*v + 73 + 98*v**2 + v. Let c(h) = h - 2. Let r(i) = -3*c(i) + o(i). Differentiate r(y) wrt y.\nAnswer: 196*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5215659906 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17801 is divided by 17711?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - 5*t**2 - 2*t + 6. What is m(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((0 + sqrt(1216) + sqrt(1216) - (-6*(1 + sqrt(19)))**2) + -3 - ((sqrt(76) - 2*sqrt(76)) + (sqrt(152)*2)\/sqrt(8))).\nAnswer: -723 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*r + 109*r + 23*r + 18*r - 47*r + 30*r - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 274 = -2*b, -2*b - 42 + 310 = -2*m. Let y = b + -921\/7. Factor 1\/7*g**3 + 0 - y*g**4 + 3\/7*g**2 - 1\/7*g.\nAnswer: -g*(g - 1)*(g + 1)*(3*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -65*h - 5. Let y(b) = -b. What is y(g(r))?\nAnswer: 65*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.13 - 2.47. Let k = m + 9. Let h = -6.399963 + k. What is h rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -160b (base 14) to base 3\nAnswer: -12101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -75*p**3*r - 69*p**3 + 8650071*p**2*r - 5*p**2 - 8494*p + 1 wrt r.\nAnswer: -75*p**3 + 8650071*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 + 21. Let z = -1 - n. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 519, -10, 304, -3, -1, -5 in ascending order.\nAnswer: -10, -5, -3, -1, 304, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -100847.6?\nAnswer: 100850.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -141564 - 2?\nAnswer: -141566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -5*m**2. Let z(u) = -27*u + 3. What is z(n(d))?\nAnswer: 135*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3335)\/5 + 7)*(0 + 1). Let v = 665 + p. Which is the nearest to -4?  (a) 3  (b) -0.06  (c) v  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/6 and 91\/14088294.\nAnswer: 14088294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 + -120. Let p = m + 82. List the prime factors of p*14*(-5)\/(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 16*l. Let c(m) = 150*m**2 + 22*m. Give -c(y) + 2*u(y).\nAnswer: -152*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 9, s: 4, r: 1}. What is prob of picking 3 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -229*w**2 + 22*w - 11. Let g(b) = -45*b**2 + 4*b - 2. Let l(s) = -11*g(s) + 2*j(s). Let i(k) = -3*k. Calculate i(l(y)).\nAnswer: -111*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3 - 60916*y**2 - 463174080*y + 10219334400.\nAnswer: -2*(y - 22)*(y + 15240)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6225*v - 6331*v - 1218 = 1114 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 9*r**2 + 3*r**2 - 2*r**2. Suppose 6*y = y + 10. Let w(l) = -6*l**2. Let m(h) = -2*h**2. Let d(i) = y*w(i) - 7*m(i). What is d(p(t))?\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 118879*j**2. Let a(n) = 211*n. Determine z(a(b)).\nAnswer: 5292611959*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 708774 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 486*i**2 + 15251*i - 15251*i + (3*i - 3*i + 3*i)*(-2*i + 2*i + 2*i).\nAnswer: 492*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 3. Let j(o) = 11*o + 1. What is the tens digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17 + 4*m - 8 - 8)*(-376*m - 8796 + 8796) to x*m + o + c*m**2 and give c.\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (-10 + -6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 86613 and 1263.\nAnswer: 36464073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -30*8\/(-84)*16*119\/170\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1055 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0740848 minus 1132388?\nAnswer: -1132388.0740848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 12:44 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 332020 - -142?\nAnswer: 332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156 and 1096244.\nAnswer: 42753516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 11*a**3 - a**2 - 3*a - 1. Let d be t(3). Let i be d\/(-8) - 6\/24. Let c = i - -43. Solve 0 = 2*q + h - 0*h - 4, c = 4*q - 4*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*h - 40, -u + 2*u + 5*h = 5. Suppose -344 - 406 = -5*c - 4*t, 2*c - 3*t - 300 = 0. What is the highest common factor of u and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-6))\/((-15)\/(-6)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -24*i + 1. Determine s(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(11) - (-6*(-1 + sqrt(11)))**2)*6 - ((1 + (sqrt(11) + 2 - sqrt(11)) - sqrt(11))**2 - (-3*(-1 + sqrt(11)))**2)) + -5.\nAnswer: -2506 + 426*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(((sqrt(242) - (sqrt(242) + 1)*-4)**2 - ((1 + sqrt(162))*3)**2) + 2).\nAnswer: 556*sqrt(2) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -10 in descending order.\nAnswer: -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u = -2*a + 8, -149*u + 151*u - 2*a - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 9) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-2)*1 + 0. Let v(t) = t**3 + 4*t**2 - 4*t + 7. Let k be v(-5). Suppose 4*c - 152 = -k*a, l*c - 16 = 2*a + 54. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 7*a**2 + a + 13. Suppose -14 = 56*r - 54*r. Let h be s(r). Suppose 7*n = h*n + 180. What is the greatest common factor of n and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1544598928 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 112 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (45\/6)\/(-1 + 27\/24). What is the common denominator of -7\/3 and (2\/4)\/(-1) - (-294)\/q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, m: 1, b: 2}. What is prob of sequence hm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -7.41758 * -495\nAnswer: 3671.7021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.681486t in nanograms?\nAnswer: 9681486000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (91 + -6 - 1 - 20).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 - 1)*(17 - 469*j + 471*j - 3) in the form i + p*j and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 8450000 to the nearest one hundred thousand.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -2*d**3\/3 + 8. Let n(x) = -x + 1. Let p(b) = -2*b - 3. Let f(w) = -3*n(w) - p(w). What is f(s(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 17 = -5*c, p + 4*c = -44037 + 44048 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/((-1)\/(-2 + -4)). Let o = y + 11. Find the third derivative of -5*v**5 - v**2 + 3*v**5 - 3*v**2 - 2*v**o wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 198?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 1. Let j be k(-1). Let h(z) = -z**2 + z - 8. Let d be h(0). Let q = -10 - d. Is q > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bva when three letters picked without replacement from {v: 3, r: 2, b: 6, a: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1256.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*7\/28*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/4 - 2*u - 1\/4*u**2.\nAnswer: -(u - 1)*(u + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -5. Let u be 1 - t\/5*1. Let s be (-8)\/(-40) + 0*(-1)\/4. What is the nearest to u in s, 5\/2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 406 = -2023*a + 2052*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 111000111111100?\nAnswer: 111000111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7 * 2524741.\nAnswer: 4292059.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 2. Let r = -188112 - -188034. Which is the second biggest value?  (a) r  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -j**7\/900 - j**6\/200 + 17*j**4\/6 - j**3\/6 + 3*j**2 + 2*j. Let l(u) be the second derivative of a(u). Factor l(w).\nAnswer: -2*w*(7*w + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*v = 104. Let u(t) = 3*t + 3. Let f(d) = d. Let c(x) = -5*f(x) - u(x). Let a be c(-2). What is the highest common divisor of v and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d - 5*d - 3*d + 9*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -33.8 and -879463239180.\nAnswer: -879463239213.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 + -10. Let w(o) = 4*o**2 - o - 4. Let s(u) = -u**3 + 5*u**2 - 2*u - 5. Let m(x) = f*s(x) - 5*w(x). What is the second derivative of m(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 7:45 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/2)\/((-3)\/10). Let i(x) = -x**3 - 3*x**2 - 6*x - 6. Let v be i(-2). Put a, v, 1 in increasing order.\nAnswer: 1, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**4 - 5976*a**3 - 2308372*a**2 - 57022992*a - 364199056.\nAnswer: -4*(a + 13)**2*(a + 734)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 take away 1140.97?\nAnswer: -1140.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 8*m**2 + 56*m + 5. Let j be l(-7). Suppose 2 = -2*g + 3*t - 1, -j*t = -4*g - 5. Solve g = 2*h + d + 1 + 12, -5*d = 4*h + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + -4. Let d = g + 4. Let w(x) = -13*x**2 - 7*x + 11. Let h(q) = 6*q**2 + 3*q - 5. Let z(s) = -9*h(s) - 4*w(s). Give z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*h = 2346 - 2458 + 4883 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f, 1 a, and 1 k when four letters picked without replacement from fllakfff.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 428761994.999873 + -428761798. Let x = d - 197. What is x rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/13 + 94*f\/13 + 180\/13.\nAnswer: 2*(f + 2)*(f + 45)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 - -32. Suppose 5*b - 128 = -38. What is the remainder when b is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16834845 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: Is 595087814 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2710 divided by -739.\nAnswer: 2710\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4*a + 16 = 0, -7*i + 22 = -2*i + a. Let c(u) = -1 - i*u - 3*u + 5*u - 3*u. What is the units digit of c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/18501108 and -13\/16?\nAnswer: 74004432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003113 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -4*a**3 - 3*a**2 - a - 2. Let k(h) = -h**2 - 7*h - 6. Let b be k(-5). Suppose 5*q - 2*u = -10, 0*q - b*q - 8 = u. Is n(q) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/15)\/((-40)\/330)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0 + 10*g**2 - 4*g**2 + 0 + 4*g**4 wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -456\/17 or -112336?\nAnswer: -112336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of -2*v**3\/3 + 1193. Let m(w) = -24 - 8 - 11 - 2*w. Determine r(m(j)).\nAnswer: -8*j**2 - 344*j - 3698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/5 or 8024?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r + 2. Let g be k(0). Suppose -4*a + g*w = -a - 104, 3*a - 5*w - 116 = 0. Let z = a - 25. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 13 = 2*x + x, -3*x + 3 = -3*j. Suppose -3*l + 2*r + 85 = 0, -3*l = -4*r + x*r - 80. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15399 + 15399 - 7*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3 - 134*n + 0 + 131*n - 1. Let j be x(0). Suppose -2*r + 280 = -2*q - j*q, 3*r + 4*q = 460. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 139*i**2 + 1 - 137*i**2 - 14*i**3 + 2*i**4 - i + 15*i**3 to the form l*i**3 + t*i**4 + g + j*i**2 + q*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 543246707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24482586 is divided by 2333?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**3\/7 + 3040*i**2\/7 + 26102*i + 2802276\/7 = 0. Calculate i.\nAnswer: -1458, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 229\/2802450 and -73\/15.\nAnswer: 2802450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 315353255 (base 6) in base 15?\nAnswer: 7541a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 56229241 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -6. Solve r*x + x + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.289 + 0.489. Let g = 0.4 + 2.6. What is the second biggest value in n, g, 1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s - 8. Let u be y(7). Let o = 76 + -10. What is the highest common divisor of u and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.5 + -9. Which is the closest to 2\/7?  (a) -0.3  (b) -0.1  (c) t  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21600 and 18?\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4720 + -3250. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/14*231896\/246. Calculate the highest common factor of y and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-147)\/2)\/7)\/(-3 - (-120)\/32)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 6) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2363360 (base 8) in base 3?\nAnswer: -1012222011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1539 - -10?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/((-147)\/18))\/(80\/(-280)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2. Let y(q) be the first derivative of -15 - 4*q**3 + 49*q - 91*q + 42*q. Calculate y(a(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppcnpccnscppp. Give prob of sequence pnp.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -122*v + 168781 - 159631 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1716572 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 - 16 + 3*c)*(c - 1 + 1) + (-c + 0*c - c)*(1103 - 1103 - 53*c) + 5*c**2 - 2*c**2 - 2*c**2 to the form w + g*c + y*c**2 and give y.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63895\/15378 + 13\/699. Calculate the common denominator of n and -48\/7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1886, 2259, 2634, 3011?\nAnswer: 3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-920)\/(-2070))\/((-22)\/(-27)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 1:20 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6810, -27903, -63058, -112275, -175554?\n\"Answer: -7031*z**2 + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -3*x**3 - 852*x**2 - 849*x = 0.\nAnswer: -283, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -434, -1241, -2468, -4121, -6206?\nAnswer: -8729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4227, -4361, -4577, -4881, -5279, -5777, -6381, -7097?\n\"Answer: -o**3 - 35*o**2 - 22*o - 4169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 4*y - 6. Suppose 4*c - 9 + 41 = 0. Calculate m(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12.60153 + -0.11953. What is r rounded to one dp?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - (-501)\/(-45))\/(2\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 810.1062l in millilitres?\nAnswer: 810106.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, b: 3, r: 2, d: 1, f: 2, q: 1}. What is prob of sequence dfq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 173630 by 1790.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {l: 2, y: 3, k: 7, x: 2, b: 3, d: 1}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkwkkkkkwwkwkkkwkwk. What is prob of picking 1 k and 1 w?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3529, 3665, 3815, 3985, 4181, 4409, 4675, 4985?\n\"Answer: z**3 + z**2 + 126*z + 3401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 46*k**2. Let v(b) = 7*b + 8. Let x(s) = 12*s + 14. Let j(h) = -10*v(h) + 6*x(h). Determine r(j(q)).\nAnswer: 184*q**2 + 736*q + 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*1*(5*sqrt(18)\/sqrt(6) + sqrt(3)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14\/(-3)*(3 - 111\/7). Suppose -8*c + s = 2*c. Suppose 5*u = 32 + 8. What is the lowest common multiple of u and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/sqrt(7) + 5 - (3*sqrt(700))**2.\nAnswer: -6295 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9116912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 8 + 1 = -k, 0 = -3*v + 3*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.584 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 = -21*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29\/5315 or 0.1?\nAnswer: -29\/5315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4800 and 1031200.\nAnswer: 6187200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + l = 2*c, -l + 5*l = -l - 12 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -52526525*n**4 + 6087984*n**2 wrt n?\nAnswer: -1260636600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.5992 + -53.16650292.\nAnswer: -46.56730292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.2 and 25011.\nAnswer: 25007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.716055mm in centimeters?\nAnswer: 0.9716055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pnpp when four letters picked without replacement from ppnppn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/8 and (-12415)\/(-115380) + 2*3\/(-54)?\nAnswer: 5128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujuujj. What is prob of picking 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*y - 29 = -4*n, 0 = 3*n + 3*y - 33. What is the greatest common factor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6780\/(-27))\/(-5) - (-4)\/(-18). Let k = -50 + l. Solve k*i - 9 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3018 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22328 is divided by 299.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -541962 * 0.182\nAnswer: -98637.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.133204516 - 0.1332. Round y to 7 dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40293211835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x. Let g(s) = 17. Let p(l) = -2*c(l) + g(l). Let v be p(11). Let t(f) = f**2 + 5*f + 9. Let k(z) = 3*z + 5. Give v*k(u) + 3*t(u).\nAnswer: 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 72193839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 8*u - 4*u - 11 - 6*u. What is the units digit of n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -312, -608, -904, -1200, -1496, -1792?\n\"Answer: -296*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*z**2 + 3*z - 3*z + (-24 + 10 + 7)*(-6*z**2 + 3*z**2 + z**2) - 3*z - z**2 + 3*z.\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/5, 37, 4, -4, 0.024, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 600825.374 to the nearest one hundred.\nAnswer: 600800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 20\/(-1)*(1 + 45\/(-30)). Suppose -5*p = -25, -g - t = 2*g - 2*p. Solve 3*z + 8*z - 33 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1744*r**4 + r**2 + 1864.\nAnswer: -6976*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - -4) + 4\/2 - -146 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-104)\/26)\/112*-12\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b**3 + 10*b**2 + 3*b - 5. Let l(g) = 7*g**3 + 9*g**2 + 3*g - 5. Let u(k) = -6*a(k) + 5*l(k). What are the prime factors of u(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 533858061?\nAnswer: 3, 11, 16177517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28368?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -318, -278, -218, -144, -62, 22, 102, 172?\n\"Answer: -j**3 + 16*j**2 - j - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 - -55. Let w = i - 15. Let p be (-9)\/(-4) + 18\/24. What is the third biggest value in p, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2332041 (base 6) in base 8?\nAnswer: 354231","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-42)\/18 + 3)*(-27)\/(-6). Suppose 0 = 5*h + 4*n - 2027, 399 = h + 7*n - k*n. What is the greatest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12735*g**2*q**3 + 127*g**2*q**2 + 80*g**2 - 7*q**3 wrt q?\nAnswer: 76410*g**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) - (3 + sqrt(272)))*3*-5)**2 - (3 + -3 + sqrt(272) + sqrt(272) + 5)**2.\nAnswer: -80*sqrt(17) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1134420221 + -1?\nAnswer: 1134420220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - ((sqrt(882) - (sqrt(882) - (sqrt(882) + sqrt(882) + 4*sqrt(882) + sqrt(882))) - sqrt(882)) + sqrt(882)))\/(sqrt(24)\/sqrt(400)).\nAnswer: -480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124579015 is divided by 24915798.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, s: 1, m: 9}. What is prob of picking 1 o, 2 m, and 1 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -56, -111, -166, -221, -276, -331?\n\"Answer: -55*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -109, -185, -261, -337?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -211 - -220. Calculate the greatest common divisor of b and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328694617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -500.9 and -324.\nAnswer: 162291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -13, -57973, -15.\nAnswer: -57973, -15, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 814 = -2*w - 804, 3*j + 27 = -3*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20081 less than 5?\nAnswer: -20076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9.5 + -5. Let i = d + -4.7. What is the second smallest value in 1\/3, 0.2, 0.05, i?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + (3 - (-5 + -5 + 3)) - 23?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.37 - -1.27. What is the third biggest value in -16, c, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-78)\/21 - -4 - (-20)\/(-70)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 9486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1155466075 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l - 7. Let c be q(5). Suppose 5*f - 1 - 14 = -5*o, -f - c*o = 1. What is the remainder when 8 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 359947, 1439795, 3239549, 5759215, 8998799, 12958307, 17637745, 23037119?\n\"Answer: x**3 + 359947*x**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**11)**(-2\/143) assuming u is positive.\nAnswer: u**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from jjjjjyjyjjyj.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 12414452?\nAnswer: 12414450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30838454 or 30838442?\nAnswer: 30838442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51172046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3 + 3 - f. Let g(t) be the first derivative of t**5\/60 - t**2 - 1. Let m(c) be the second derivative of g(c). Calculate m(n(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 92 and 207?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 15080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, f: 3, l: 6, a: 2}. What is prob of sequence aa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*20\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*x - 2, 4*x - 1 = 5*x + 2*b. Solve d - 3 = -w + 3*d, -x*w - 7 = -2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - (2 + 2)) + 1. Let y(n) = 88*n. Let o be y(p). Is 29 a factor of (1\/2 + -1)*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -404 + 697. What are the prime factors of l?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*p**4*x + 100479*p**3*x - 297208*p*x wrt p.\nAnswer: 36*p**2*x + 602874*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b585b (base 12) to base 3.\nAnswer: 220201202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.174 and -0.0637.\nAnswer: 0.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -353842, -353692, -353528, -353344, -353134, -352892, -352612, -352288?\nAnswer: -351914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24011 is divided by 316.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 11, v: 2}. What is prob of picking 2 e?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6535 and 10412872.\nAnswer: 10419407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(6*(-2)\/(-8)). Let l be z - 2 - (3 + -8). Suppose 4*w + l*i - 4770 = 0, 4*w + i - 225 - 4537 = 0. Round w to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001261739 rounded to 6 dps?\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/58 + (-428029)\/9541?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 4*x - 24, 0 = -4*s + x - 3 + 30. Suppose 2*i = 3 + s. What is the highest common factor of 35 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*x + 236 = 2*b, 4*b = x + 251. Suppose 5*k - 17 = 3. Suppose 5*r + b = k. Are -13 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, -37, -14 in descending order.\nAnswer: -14, -37, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9378811g in kilograms?\nAnswer: 0.0009378811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 4*s + 0*s = -18, -4*n + s = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**3 + 4388*f**2 + 1196800*f - 3630000 = 0. What is f?\nAnswer: -550, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 5*k**2. Let m(o) = -54*o**3 - 5*o**2. Determine -m(r) + u(r).\nAnswer: 53*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*y - 3*y - 49. What is the first derivative of -11*j**2 + 19 + y*j**2 + 10 + 41*j**2 wrt j?\nAnswer: 74*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26636 is divided by 11930?\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzzqqazqqqqqaqq. What is prob of picking 2 a and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 13*f**2 + 897*f - 24. Determine p(-69).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**3)**27)**(-19\/4))**43 assuming m is positive.\nAnswer: m**(-66177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 123784, 2 in increasing order.\nAnswer: 0.5, 2, 123784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 891919054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -5, -10, 354.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -185, -175, -153, -113, -49, 45?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1685 + -1679. Let p(j) = -9*j. Let g(w) = 26*w - 1. Determine s*g(n) + 17*p(n).\nAnswer: 3*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zllplzlz. What is prob of picking 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*f + 2. Let u be 4 - (4 + f) - 1. What is the second derivative of 5*o**2 - 2*o**u - o + 4*o**4 - 3*o**2 wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -61*k - 4. Let a be h(1). Let l = 69 + a. What are the prime factors of 7*(4 + -3)*5*l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 5*l + 96, -4*l = 2*d - 7*l - 178. Let s = d - 76. Calculate the smallest common multiple of 8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 276 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5690 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 140, 164, 186, 206, 224, 240, 254?\n\"Answer: -r**2 + 27*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 68 - 37. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.4, 0.10277, 2?\nAnswer: 0.10277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 3*o - 1. Let z be h(5). Let m = 7 - -11. What is the remainder when ((-111)\/z - -1)*-3 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 29 - (20 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 293854 and 7106?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1465, 2556, 4397, 6988, 10329?\nAnswer: 14420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1561\/5 or 313?\nAnswer: 1561\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 309233164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*l - 60*l - 96*l + 50*l + 3*l - 50*l.\nAnswer: -134*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zcl when three letters picked without replacement from blzozuc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 7*i**2 - 7*i - 26. Let y be c(8). Let g = y + 65. What are the prime factors of g?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**6\/48 - 3*y**5\/40 + 3*y**4\/8 - 4*y**2. Let t(j) be the second derivative of r(j). What are the prime factors of t(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 3  (b) -0.56  (c) 125\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3 = -3*d, 0 = d + d + 5*f - 25. Let w be (1\/3)\/(10\/990). Let n = 58 - w. Solve -45 = d*l + 4*h, -4*l - 5 - n = 2*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -421, -827, -1233, -1639?\n\"Answer: -406*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((-192)\/32)*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(162)\/sqrt(3)) + (sqrt(3) - 5*(2 + sqrt(3)))*-4.\nAnswer: 49*sqrt(3)\/3 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*o - 26 + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 153 and 17325.\nAnswer: 294525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*t + 0*t + 0*t + 2*t to the form c*t + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118466, 236933, 355400, 473867?\nAnswer: 592334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 18*z + 370 = 0. Calculate the remainder when 214 is divided by z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 3 + 9. Suppose -o*w + 4 = -14. Suppose 5*u - 4*x - 267 = 0, -2*x - 3 = w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**3 + 2*n**3 + 0*n - 4*n)*(122*n + 249*n - n).\nAnswer: 740*n**4 - 1480*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -42416.\nAnswer: 84832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 21 + 5 = 0. Is 26 a factor of x*(-2)\/((-8)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 7:50 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19 * 0.052281087.\nAnswer: 0.993340653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7436976 decades in years?\nAnswer: 7.436976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**4 + 8*x**4 - 3*x**4 + (0*x**4 + 3*x**4 + 0*x**4)*((27 - 27 - 29)*(-2 - 2 + 6) - 5 + 4 + 5) to y*x**4 + s*x**2 + q + p*x + g*x**3 and give y.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -313 plus 107?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y - y + 0*y + 0*y - y + 0*y + (0 + 2*y + 0)*(-3 + 2 + 0) - 4*y + 5*y + 0*y - 3*y + 0*y + y + (-18 - 21 - 22)*(4*y - 3*y - 2*y).\nAnswer: 58*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008)*-4)\/sqrt(9) + 2 + (4 + (sqrt(224)\/(sqrt(4)*-1))\/sqrt(8))**2.\nAnswer: -24*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/214 and 31\/410.\nAnswer: 43870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 218869.\nAnswer: 218868.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*g - 8, 0 = -5*m + g + 4428. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -137 in 0.2, 12, 5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-217\nAnswer: -86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 114, 120, 128, 138, 150?\n\"Answer: o**2 + 3*o + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {x: 4, e: 15}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from ciixxxxxxicix.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a = -8007 - 14337. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from {h: 3, o: 1, b: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of -17*u**7\/6 - 2*u**6\/15 + u**4\/12 - 29*u**3\/2 - u**2\/2 - 21*u + 96. Find the second derivative of a(b) wrt b.\nAnswer: -2380*b**3 - 48*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -69.7234 to one decimal place.\nAnswer: -69.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46.1 - 7.1. Let s = -5 + u. Let h = s - 33.7. Sort h, 3, -5 in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0659 - -1.9341. What is the nearest to d in 1\/5, -1, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -8*4\/((-8)\/6). Suppose 0 = 4*n - 6*n. Suppose n = 4*r - 9*r - 4*o + 7, 0 = -o - 2. Calculate the greatest common factor of l and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 260 + -434. Let z = w + 241. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of n**7\/840 - n**6\/240 - 7*n**4\/24 + 13*n**2. Let x(r) be the second derivative of f(r). Is x(-6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 10 = -3*b, -3*b + 0*b = 3*o. Let m = -10 + o. Is -12 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a4 + 38b?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -235 - 412?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -541782614, -541782615, -541782616, -541782617, -541782618?\n\"Answer: -c - 541782613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from bpbbbpppppp.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -236, -476, -702, -908, -1088, -1236?\n\"Answer: p**3 + p**2 - 250*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, h: 2, w: 4}. Give prob of picking 1 w and 2 q.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0089 + -0.1911. What is the closest to i in -2, 0.5, -5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7434, 12995, 18556, 24117, 29678?\n\"Answer: 5561*n + 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeyyeyyy. What is prob of picking 1 e and 2 y?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.114659983 rounded to four decimal places?\nAnswer: -0.1147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1 - 16*n**2 - 8*n + 3 - 40*n**2 - 2*n**2 wrt n.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174226511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5366400091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 200 - 102. Let u = 45 - w. Let i = -52.999993 - u. What is i rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 506548940955?\nAnswer: -506548940954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-18\/5)*p*(p**(-6\/5)*p*p)\/p assuming p is positive.\nAnswer: p**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -2*i**3 + 496*i**2 - 30752*i = 0.\nAnswer: 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*f**3 - 802*f**2 + 802*f**2 + f + 3*f**3 - f + (0 - 2*f + 0)*(-2*f**2 - 4*f + 4*f) + f**2 - f**3 - f**2.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 38 + 10. Suppose -41582 = -3*u - 41540. Calculate the remainder when k is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h + 10. Let w be r(-4). Let k(j) = -3*j - 4. Let p be k(4). Let o = p + w. Let y(z) = -z**3 - 2*z**2 + z + 1. Give y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71156348 to the nearest integer?\nAnswer: 8435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 11*v = -7, -4*v + v + 5213 = -4*h + 5077 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-5\/6)*h**(5\/7)*h assuming h is positive.\nAnswer: h**(37\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + t)*(2 - t - 2)*(1 - 2 - 2).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 3*v - 101 = 0, 63 - 228 = h - 5*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(3))\/sqrt(6) + sqrt(12)\/sqrt(216) - sqrt(12)\/((sqrt(66) - sqrt(66)*-2)\/sqrt(11))*-2)**2.\nAnswer: 121\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = r + 7*p - 8*p, 0 = -5*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 137, 293, 447, 569, 629?\n\"Answer: -5*n**3 + 29*n**2 + 104*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is -4027560 (base 8) in base 4?\nAnswer: -10002331300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -301 + 588 - 206 - 3*l in the form r + d*l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -9, 53, 191, 417, 743?\n\"Answer: 2*s**3 + 26*s**2 - 30*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 63 (base 13) to base 7\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2)*l**(-1\/4)*l**(-2\/11)\/l*l**4 assuming l is positive.\nAnswer: l**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of 1\/21*d**3 - 1\/105*d**6 + 1\/147*d**7 + 1\/21*d**4 - 1\/7*d**2 - 1\/35*d**5 + 0 + 52*d. Factor g(u).\nAnswer: 2*(u - 1)**3*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = -2*j + 3*v, -4*v - 21 = 4*j + 67. List the prime factors of (-3)\/j + (-5972)\/(-36).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z**2\/5 - 21752502*z\/5 + 56556708 = 0. What is z?\nAnswer: -3625430, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -11, -4, -3, 4 in descending order.\nAnswer: 4, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - w = -16, 0 = -p - 2*p + 3*w - 6. Let v be 3 - (0 + 0 + p). Calculate the common denominator of (-161)\/12 - v\/(-15) and 31\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12706597 >= 12706597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 10794 - 10794 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2)\/k*k*k)\/k**(2\/5))**(-10\/13) assuming k is positive.\nAnswer: k**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 206773, 206754, 206731, 206704, 206673?\nAnswer: 206638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.867191 to three dps.\nAnswer: -0.867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15310 is divided by 5093?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -247 + 4?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - -1*(-4 + 9). Let i(z) = -z**3 + z**2 - 4. Let l be i(3). Let p be (-2)\/(l\/6 + 3). Solve d = -v*h - 17, -p*d - 2*d - 5*h = 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**4\/(v*v\/(v*v**(-8)*v)))**32 assuming v is positive.\nAnswer: v**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8427, 2, -2, 0, 1 in decreasing order.\nAnswer: 2, 1, 0, -2, -8427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -751*i = -741*i - 533800. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -40942 and 2488.\nAnswer: -38454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = -186 + 666. 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: Suppose 3 = 6*i - 5*i. Suppose -4 = i*k - 43. Suppose 3 = k*y - 12*y. Solve 0 = -5*h + 28 - y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, b: 1, q: 3, h: 3, m: 3, v: 1}. What is prob of picking 3 m and 1 q?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22755 and 4260?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6216 and 306771144.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -4024451?\nAnswer: -4024455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 2:17 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1904)\/98)\/(-17))\/(4\/14) - (-1 + -56)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, 53, 66, 91, 128, 177?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 7*v - 4*v + 3*p, -3*v + p - 7 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (8 - (12 - 8) - 5 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -18. Let t = z - 7. Are t and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - b. Let i(v) = -5*v**2 + 14*v - 13. Let m(j) = 3*j**2 - 7*j + 6. Let n(a) = 4*i(a) + 10*m(a). Let z(d) = 2*h(d) + n(d). Solve z(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 1. Let r(a) = -3*a**2 + 13*a - 10. Let c be r(4). Let o(u) = 4*u - 17. Determine c*o(p) - 102*f(p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*1330.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/3 - (528 + -3). Let x be r\/(-154) - (-6)\/4. Let i = x + -680\/143. What is the closest to 2 in i, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 22.1\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -5, 16, 4 in ascending order.\nAnswer: -7, -5, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261160135?\nAnswer: 5, 52232027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18b09ab (base 12) to base 4.\nAnswer: 103313002103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -47*l - 12*l + 256 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 414683 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 9 = 6*k. Suppose -t - 4 = -k*t. Suppose -t*z - 2*x = -6*x - 54, 0 = 5*z + 4*x - 93. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*h + 20 = 50*h. Let p be -4*(-10)\/(-4) + (h - -7). Let v(c) = c + 10. Let t be v(p). Solve q - 1 + t = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.02845 or 0.003?\nAnswer: 0.02845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/8 + 41\/4. Suppose -3*f + z = -f. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (-98 - (-44 - 5)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 19 + 354 = 5*b, 0 = -g + 5. Does 33 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1747 - 1749. Let n(l) = l + 5. Let k(y) = 2*y + 6. Calculate u*k(h) + 3*n(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 25*d**3 - 580*d**2 + 580*d**2.\nAnswer: -25*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 276\/216 - (2\/(-1))\/(-12)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31530990.\nAnswer: 2, 3, 5, 881, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express m + 4 - 48 - m + 2*m**2 - 147 in the form z + w*m + t*m**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-20)\/(-6))\/(2\/3). Solve 0 = -5*x + 4*x + 4*d + 14, d = -4*x + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 89 and 2272437.\nAnswer: 2272437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14977014 and 3?\nAnswer: 14977014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*u - 33 = -7*u, -3*u - 17 = -4*x. Let k(n) = n**2 - 7*n - 6. Determine k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -976 divided by 61?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-378)\/147)\/(((-12)\/(-6660))\/(14\/(-5)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -78*d**4 + 2*d**3 + 156*d**2 - 126092*d + 2.\nAnswer: -936*d**2 + 12*d + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6152004 (base 7) to base 4\nAnswer: -2303202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14112 or 14509?\nAnswer: 14112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4643.6?  (a) -3  (b) 0.5  (c) -1\/3  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 7:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, c: 11, y: 3}. What is prob of sequence cc?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aje when three letters picked without replacement from zjvejea.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 4:57 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5*4\/20)\/(1\/4). Let y be (-15)\/(-1)*((-16)\/(-10))\/f. Suppose -1108 = -y*r + 5330. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1\/6  (b) 8\/3  (c) -283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*1*-4) + -3 + -3 + (sqrt(19) - (-3 + sqrt(19)))**2 + -3.\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 745*i - 396*i - 434*i to f*i + z and give f.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1683550541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 17*t**2 - 2*t - 1. Let c(a) = -30*a**2 - 88*a + 306. Let h(o) = -c(o) - 2*w(o). Factor h(d).\nAnswer: -4*(d - 19)*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -70*p**3 - p**2 - p - 2. Determine h(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (-6 + 1 - -2)) + -6 + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + -1 + -36 + 43?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 14*k + 30. Suppose 4*o + 56 = -0*o. Let r be j(o). Let s = -27 + r. Solve -6*f = -s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*136\/(-12)*5. What is the remainder when 122 is divided by 158\/4 + y\/(-20) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from veylavyeyygvyav.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 89 + -88.99. Let j = 28.27 + -28.17. What is the nearest to j in -5, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 0.3  (c) -63  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 273141\/(-11067) - -25 - (-1)\/(-7)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**2 - 23*l**2 + 0*l**2 + (3 - l - 3)*(-3*l - 2*l + 6*l) - 26*l**2 + 50 - 28 - 20.\nAnswer: -53*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, i: 2, y: 1, g: 4, q: 7}. Give prob of picking 3 g.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008402004 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -7. Suppose -4*d - 12 = -0*d, 3*l = -4*d - 12. Suppose -y = -2*n + c, l = 4*y - 0*n + n - 20. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 6. Let o(g) = -5*g**2 - 1 + g**k + g**3 + g + 0*g - g**3. Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 6*o + k = -188, 4*o - 372 = k. Suppose -o = -5*q + 138. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2298 - 38 - 1155)*(2*w**4 + 3*w**4 - 2*w**4) to the form i + f*w**4 + t*w**3 + k*w + p*w**2 and give f.\nAnswer: -10473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qwqqqqqqqqqqqqqqqq. What is prob of sequence qqqq?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -864831155 less than -0.4?\nAnswer: 864831154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2975*d + 62. What is the units digit of i(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110355130 (base 7) to base 10\nAnswer: -6652555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*v**3 - 123*v**3 + 78*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2608883821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 86 + 50. Let o = -10 + 15. Suppose -5*q + 79 = -2*f + 4*f, 5*q + o*f - 70 = 0. What is the greatest common divisor of h and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of b**6\/120 + 3*b**5\/20 + 3*b**4\/8 + 3*b**3\/2 + 2*b**2. Let w be v(-8). Put 3, w, -1 in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*o - 4. Let t = 184 + -184. Suppose 2*b + 207 - 253 = t. Calculate the remainder when b is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 - 82 = -11*b. Solve 7 = u + b*k, -3*u - 3*k + 3 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i**2 + i**2 - i**2)*(3 + 3 - 12*i - 5) to the form g*i**2 + z*i + w + j*i**3 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -58535124, -117070230, -175605334, -234140436, -292675536?\nAnswer: -351210634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4 = 0, -2*u = -h + 45 - 328. Suppose -2*f - 72 = 2*w, -3*f + 3*w - 94 - 2 = 0. Let b = f - h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - 0 - -1) + (-17 - -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccv when three letters picked without replacement from vcvvc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1184905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w + 4*w + 16 = 0. List the prime factors of w*(-5)\/30 - 5900\/(-15).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4450062 - -0.037?\nAnswer: 4450062.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 9*l + 25. Let i be c(-9). Let v be 188\/(15\/(-20) + (-46)\/i). Is (-6 - v)*4\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 2.51, 0, 2\/25, 0.544?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -3*j + s, 47 = -4*j - s - 4. Is 2*-3*14\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of -1\/8*z**4 + 1\/60*z**6 - z**2 + 0 - 2\/3*z**3 + 1\/20*z**5 + 10*z. Determine j so that a(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) -50  (b) 0.2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11725\/2 - -6031. Let d = 174 - z. Find the common denominator of -31\/18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 176 and 41008.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppapfpafaa. What is prob of sequence ppfp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**5 + 2258*c**3 - 229*c**2 + 950469*c?\nAnswer: 40*c**3 + 13548*c - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from qkdkddddpqqdqdddkpd.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 y when three letters picked without replacement from {u: 2, y: 3, s: 2, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 f, and 1 a when three letters picked without replacement from {n: 11, f: 6, t: 1, a: 1, b: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.5 in 2\/31, -3, -1\/48613, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 16) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 355, 690, 1027, 1366, 1707?\n\"Answer: w**2 + 332*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3 = -5, -2*n - 3*b = 0. Let x = -0.0018 - -3.0018. What is the smallest value in n, -1\/3, x, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = -56*w - 21*w - 511 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*f + o - 23 = -175*f, 2*f = 3*o - 67 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 149628*x**4 - 27*x**3 - 10053527.\nAnswer: 598512*x**3 - 81*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6635*q**5 - 442*q**5 - 664*q**5 + (-3*q**3 + 2*q**3 + 0*q**3)*(3*q**2 - q**2 - 3*q**2).\nAnswer: 5530*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from pavvvpkpgggvpavkavv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1508454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -701, -704, -721, -758, -821?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**2\/13 + 66*i + 860\/13 = 0?\nAnswer: -1, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-10))\/(-1))\/(315\/700).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2610.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/14*(12831\/(-117))\/(-47).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3148524.\nAnswer: 2, 3, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2082*p**3 - 7*p + 2077*p**3 - 6275*p**3 + 0*p + 2095*p**3.\nAnswer: -21*p**3 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -8. Suppose -2*m - 4*w = 3*m - 4, -4*m + 2*w + 24 = s. Differentiate 2*v**m - 2 + 4 + 0 wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - p + 3 = 0. Let d(i) = 4*i**2 - 2*i. Let k(j) = -j**2 + 382*j - 382*j. Let m(o) = p*d(o) + 5*k(o). What is the second derivative of m(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 124340?\nAnswer: 124344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + ((-3 - -2) + -6 - -1 - -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - n**2 - 4)*(0 + 0 - 3) + (-1 + 1 - 2)*(17*n - 17*n + 16*n**2).\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*f**4 + 46*f**3 + 469*f**2.\nAnswer: -96*f + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*y - 10. Suppose 2*p = d + 557, -3*p + y*d + 636 + 192 = 0. What is p rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 765 - -540. Suppose h - 4857 = -6*t. Let g = t + 378. What is g rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i**3 - 6*i**2 - 2*i**3 - 7*i**2 + i**3 to y*i**3 + l + n*i + q*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 86 and 1978.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 10:14 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -17424100 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, -107, 1 in decreasing order.\nAnswer: 1, -1, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -31*y**4 - 249*y**3 - 463*y**2 - 275*y - 38. Let x(d) = 123*d**4 + 996*d**3 + 1851*d**2 + 1101*d + 153. Let s(h) = 4*x(h) + 15*z(h). Factor s(k).\nAnswer: 3*(k + 1)**2*(k + 7)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from oonobel?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 742121*a + 5194848. What is u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1943 is divided by 88?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-251544)\/61362 + 0 + 4. Let f = j + 2\/487. Let x be ((-12)\/10)\/((-3)\/10). Which is the third smallest value?  (a) -0.5  (b) f  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 24*w**2 - 1. Let p be d(24). Do -8\/9 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**2\/7 + 118182*x - 3309064\/7 = 0. What is x?\nAnswer: 4, 413633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from {r: 10, v: 1, j: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*d - 38*d + 224 = 41*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 - -34. Let n(i) = -3*i**3 - i**2 - 1. Let t be n(2). Let c = -23 - t. What is the highest common divisor of c and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3162783 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2253328 and 402380?\nAnswer: 11266640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2111361*p**3 - 8*p - 31960 wrt p?\nAnswer: 12668166*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1062 + 549. Let j = p - -516. Solve -3*m + j = -3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 1:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 63237 divided by 3?\nAnswer: 21079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76624*m**3 + 5*m**2 + 998*m - 998*m.\nAnswer: -76624*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(171)*-5)\/(-1*sqrt(324)*5).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3528 and 552.\nAnswer: 81144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -774 - -494. Let s = -124 - f. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**4 - 4*c**3 + 1100*c**2 - 2172*c + 1080 = 0. What is c?\nAnswer: -18, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 4. Suppose -w = -u + 3. Let r(c) = 131*c**2 + c + 1. Is r(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*v - 2*o, 0*v - 5*o = -3*v + 31. Suppose 0 = -5*w + 5*f + 315, v*w + f - 4*f = 124. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*w - b + 264 = 6*w, -21 = -5*w - 4*b - 119 - 16 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*o = 27*o + 697 + 23 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -3*b - 5*t, -4*b + 0*t + 22 = -2*t. Let m(v) = -v + 7. Let a be m(3). Solve b*j = -a*x + j - 36, -2*x - 4*j - 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132785 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert a22b3b (base 16) to base 5.\nAnswer: 10210043044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -87629227840024?\nAnswer: 87629227840028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2. Let x(g) = -5*g**3 - g**2 + 2*g - 6. Let u(o) = 2*o**3 - o**2 + o - 2. Let l(t) = -2*u(t) + x(t). Give l(w) - 3*m(w).\nAnswer: -9*w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 3202338 to the nearest one thousand.\nAnswer: 3202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7466, -7496, -7572, -7718, -7958, -8316, -8816, -9482?\nAnswer: -10338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/(-160) + (3\/14)\/(5256\/1533)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 96\/24*(23 + -17). Let l = 64 - 42. Solve l*w + 6 = k*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -23. Let s(r) = -116*r**3 - 3*r**2 - 3*r. List the prime factors of s(b).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*d + 4*d - 360. Let x = 36 + d. Suppose -x = -4*r - 2*r. Which is greater: r or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1920) + sqrt(1920) + sqrt(1920)*-1)\/(-6*(sqrt(150) - sqrt(6))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1591 divided by -18\nAnswer: 1591\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 29016032 divided by -4\nAnswer: -7254008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + g - 51 = -46, 39*g - 36*g = o + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 107679, 430807, 969385, 1723413, 2692891, 3877819?\n\"Answer: 107725*z**2 - 47*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 630*i - 626*i + 28 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9300755858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25 and 10735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/83?  (a) -2\/266507  (b) -0.5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2. Let u(j) = -7*j + 50. Let r(q) = -11*q + 75. Let a(p) = -5*r(p) + 8*u(p). What is o(a(l))?\nAnswer: -l**2 + 50*l - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2025 divided by 3?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggomgmm. Give prob of sequence mgmm.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 7\/18*x**4 - 4\/3*x**2 + 8\/9*x + 5 - 2\/3*x**3. Factor p(k).\nAnswer: 2*(k - 2)*(k + 1)*(7*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -13*x**3 - 6*x**3 - 3*x**3 + 8 + 4*x**2. Let b be i(6). Round b to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3d5c7 + 4?\nAnswer: -3d5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 6, h: 2, r: 4, c: 3, f: 4, m: 1}. Give prob of picking 1 n, 1 m, and 2 c.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 3*k**2 + 2*k. Let z be v(-2). What is the derivative of -7*x + z*x + 1 + 5*x wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5899649900?\nAnswer: 2, 5, 41, 1438939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.001, -4, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -9*f + 2. Let y be z(0). Find r, given that -27\/4*r**3 + 9\/4*r**4 + 0*r - 1\/4*r**5 + 0 + 27\/4*r**y = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b\/(b**48\/b)))\/b**18)\/((b**31*b)\/(b*(b*b**(1\/7))\/b*b*b*b)) assuming b is positive.\nAnswer: b**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -u - 15. Suppose 2*z - u = 3*z. Put 4, 3, z in increasing order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*d + 21*d - 5*s + 31, d - 39*s - 2 = -41*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 100*u**2 - 293*u + 8. Does 118 divide l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20062 by -14.\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 730 + -680. Suppose h*y - 6176000 = 34*y. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**5 - 80561*f**4 + 161141*f**3 + 1208413*f**2 - 2578000*f + 1289008 = 0.\nAnswer: -80563, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-65)\/(-156)*(-1)\/128. Let n = l + -33245\/10752. What is the common denominator of -101\/18 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124 = 4*t - 4*s, -s = -3*t - 0 + 101. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.33 * 15.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 2*b**3 - 5 + 2 + 7*b**2 + 5 as r*b + j*b**3 + i*b**2 + n and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3 + 0*k + 8*k**3 - 4 + 12 - 3*k**2 - 5*k. Let j be r(-4). Let h be -12*(8\/14 + j\/1120). Is h less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 10:42 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -287*w + 290*w - 33 = 0. Solve -3*f + 20 = w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 252 and 4116?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != -24\/13243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (4*(sqrt(304) + -1) + sqrt(304) + sqrt(304) + sqrt(304) + -1 + sqrt(304) + -2 + -5)*-2)*5)**2.\nAnswer: -64000*sqrt(19) + 1955600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*j + 15. Let i be (9\/66)\/(j\/(-8)). Let t = -34.3 + 34. Which is the biggest value?  (a) t  (b) i  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1376 is divided by 686.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 6*v**2 + 7*v - 8*v - 2 as p*v + r + l*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 6:08 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -1. Is (-10)\/(-8)*n*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 2\/3, -10\/21 in decreasing order.\nAnswer: 4, 2\/3, 0, -10\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5*t = -27, -5*u - 2*t = -6*t - 42. Solve -2*n + u = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -609 + 24*x + 206 + 201 - 52*x + 205.\nAnswer: -28*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 240?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 99854\/155 and 644 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -156*m + 154*m. Let i(c) = -c**2 - c - 1. What is i(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 837*y**3 - 1674*y**3 + 839*y**3 - 8*y + 235 - 5*y in the form c*y**3 + x*y**2 + z*y + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 0*s**3 + 0 + 1\/60*s**6 + 1\/15*s**5 + 1\/12*s**4 + 0*s + s**2. Solve g(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3 - 3*y + 10 + 2*y. Let g be x(-9). Suppose r - 68 = g. What is the greatest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/n**(1\/2)*n)\/n**24)**(-43))**(2\/101) assuming n is positive.\nAnswer: n**(1849\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wzg when three letters picked without replacement from xptgttgtpxwxxzp?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108745 is divided by 174.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-13)*q)\/q**9 assuming q is positive.\nAnswer: q**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2 = 3*t, -2*t = -c - 5*t + 22. Suppose 5*v - 3*r - 6 - 13 = 0, 4*r = -12. Solve -3*g - v*g + c = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -2\/11  (c) 0.4  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 222242154 (base 6) in base 11?\nAnswer: 23055a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 48373251 divided by -116003?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1015 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 4, j: 7}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + (13 - 71 - -33) - 69.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -2\/11, -22921.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2\/2 + 147*x\/2.\nAnswer: -3*x*(x - 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.569264t to kilograms.\nAnswer: 5569.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + (-11)\/(-1))*(-8)\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-4\/5)*g*g)\/(g\/g**(-5)))\/((g\/((g\/(g*g**1))\/g))\/(g**(-5)*g)) assuming g is positive.\nAnswer: g**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.789 - -0.429. Let q = u - 0.64. Let x = -3 + 5. What is the second biggest value in -1\/2, x, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and -14849670634.\nAnswer: -14849670632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28) + (sqrt(28) + 1)*-1 + -2*sqrt(448).\nAnswer: -16*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4 - 29392*o**3 + 144089220*o**2 - 236159862400*o + 2580362782250.\nAnswer: 2*(o - 4895)**3*(o - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 974, 4444, 11212, 22082, 37858, 59344, 87344?\n\"Answer: 134*a**3 + 845*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-555))\/(186\/(-1395))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.3 - -2.4. Which is the nearest to 0?  (a) z  (b) 5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 580 and 19603884.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40250 and 35425?\nAnswer: 57034250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*b - 4*t - 29, 20 = 2*b - 5*t. Let o(l) = 7 + 2*l**2 + 8 + b*l - 15 - 4*l**2. Let q(h) = 6*h. Determine q(o(c)).\nAnswer: -12*c**2 + 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -106190, -212377, -318564, -424745, -530914, -637065, -743192?\n\"Answer: u**3 - 6*u**2 - 106176*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 650113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0, 1, 3, 66, 2\/13, 3\/41248?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((w\/((w*w\/w**(1\/11))\/w))\/w)\/w)\/w)\/w**(2\/5))**(-2\/7)*((w*w\/w**(-16)*w)\/w**(1\/2))**(-2\/31) assuming w is positive.\nAnswer: w**(-423\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-3 - 3 + 2)*(1 + 0 + 1)*(m - 4 + 4).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-970)\/300*-6 + -20)\/((-3)\/45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of 0*r**5 + 0*r**4 + r**2 + 0*r - 10\/3*r**6 + 0*r**3 + 6. Find the second derivative of f(k) wrt k.\nAnswer: -400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 670384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47739487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -3. Let u(t) = -t**3 - 14*t**2 - 53*t - 28. Let q be u(-6). Calculate the common denominator of (q - (g + 25))\/(-4) and 45\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, o: 2, k: 11}. What is prob of sequence co?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n**5\/11 - 20838*n**4\/11 - 5986100*n**3\/11 + 20120680*n**2\/11 - 18821392*n\/11 + 5382848\/11 = 0. Calculate n.\nAnswer: -604, -557, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**4 + 1792*g**3 + 5040*g**2 - 648000*g = 0. Calculate g.\nAnswer: -20, 0, 18, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.97131kg in tonnes?\nAnswer: 0.02697131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -2160 and -2160 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -22344941 at least -22344944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -86, -113, -58, 79?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128, 512, 1154, 2054, 3212?\nAnswer: 4628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37 - 28. Solve z - l = -2*z + 5*n, -z + 2*n = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 23 = -3*p. Let b = 70 - 66. Suppose 2*i + 6 = -b*k, 5*k - 10 + 1 = 3*i. Solve k = -4*v - p*z - 8 - 7, 5*v + 26 = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.32, 69\/5 in increasing order.\nAnswer: 0.32, 1, 69\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2884, 2897, 2914, 2935, 2960?\n\"Answer: 2*u**2 + 7*u + 2875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 106\/9 + 22\/99. Let i = -25 + 20. Sort -3, i, q in increasing order.\nAnswer: i, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 - 0.2. Let b = 70.978 + -70.978. What is the nearest to 1 in q, b, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -3*h**2\/4 + 7322421*h\/4 - 14644794 = 0.\nAnswer: 8, 2440799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1906, 7636, 17218, 30694, 48106?\nAnswer: 69496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/((y*y\/(y*y\/(y\/(y*y*y*y**(1\/2)*y))*y))\/y))\/y)**(-2\/45)\/(y**(-4\/13)*(y*(y\/(y\/y**(-8)))\/y)\/y))**(-21) assuming y is positive.\nAnswer: y**(-36932\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-84582)\/34290)\/((-1)\/(-5))*1\/((-2)\/(-6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40.291 + 9.599. Let g = -53 + y. Let l = g - -0.11. Which is bigger: 0.2 or l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -115, -229, -343, -457, -571?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**6\/75 - o**5\/50 + o**4\/30 + o**3\/15 - o. What is a in z(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*d**2 - 5*d**2 - 12 - 2*d + 26.\nAnswer: -17*d**2 - 2*d + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16692 - 53*m**2 - 16692 + 47*m**3 wrt m.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**2\/10 + 16*l\/5 + 128\/5 = 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2 + 26 - 2*g + 612 + 162 + g**3. Let q be r(0). Suppose -4*x + x + 5*d = -592, -4*d - q = -4*x. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 187*c - 6292. Determine u(143).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 - 919 = 116*w + 647 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 26*c**2 + 219*c - 53. What is the smallest common multiple of 36 and h(-9)?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6957 + 29\/(58\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -871 + -e0?\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n**2 + 2*n + 4. Let j(p) be the first derivative of -1 - 17*p - 4*p**2 + 13\/3*p**3. Let r = -13 + 4. Calculate r*y(h) - 2*j(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -485016523, -485016525, -485016527, -485016529, -485016531?\n\"Answer: -2*j - 485016521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-83 - -83 - (3 + (-3 - -67))).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 2:46 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -126*k**2*q**3 - 2*k**2 + k*q**2 - 781*q**3 - 82*q**2 + 30 wrt q?\nAnswer: -756*k**2 - 4686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 3 - 5)*(-2*k + 2*k + k) + (3*k + 3*k - 4*k)*(1 + 3 - 5) to w + p*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -120202, -240447, -360682, -480901, -601098, -721267, -841402, -961497?\n\"Answer: s**3 - s**2 - 120249*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w*w**(-1\/3)))**(-23))**(-34)\/((w\/(w**(2\/3)\/w))**(-2\/21))**(-42) assuming w is positive.\nAnswer: w**(3112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 9608 in descending order.\nAnswer: 9608, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 + -10)*(-8)\/(5 - 1). Solve -4*q - p*u = -14, 4*u = -4*q + 9 + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**2 - 6*b**4 - 16*b**4 - b**3 - 5*b + 3*b**3 + 4*b to the form i*b**2 + a + t*b + v*b**3 + d*b**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 13*l**2 - 58*l - 3*l**2 + l**3 + 59*l - 6. Let g be t(-9). What is the highest common divisor of g and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -4 - 2788\/(-170). Which is the biggest value?  (a) -5\/3  (b) 3  (c) i  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(40\/6)*26*138\/598?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-50)\/(-6)*13698\/(-7610)*-1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/20)*q*q**(1\/3)*q*q**(-23)*q*q*q*q*q*((q\/((q**(-1\/11)*q)\/q))\/q)\/q assuming q is positive.\nAnswer: q**(-10973\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*l = 204, 2*l - 88 = -c - 24. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1037*0.5\nAnswer: 0.05185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + 61 + (3 - 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -231*v**5 + 120*v**5 + 191*v**5 + 2*v**5 - v**5 - 3*v**5 + (2 - 2 + v**2)*(-2*v**2 - v**3 + 2*v**2).\nAnswer: 77*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 AM and 7:22 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*t = -50*t + 120. Let a(c) = -t*c - 11*c - 18*c. Let s(f) = 2*f**2. What is a(s(q))?\nAnswer: -138*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*v + 72, m + 120 = 12*v - 7*v. Let f be (18\/7)\/(3\/21). Calculate the greatest common divisor of f and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1)**26 assuming q is positive.\nAnswer: q**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l + 4*l**3 - 5*l**4 + 1284 - 1284 - l**2 in the form o*l + h*l**3 + s*l**4 + f*l**2 + c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3891 + -3887. Let z = 5 - 5.4. Which is the biggest value?  (a) 3  (b) z  (c) q  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4539695328 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 907*f + 7347. Calculate q(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/3 - 3710464*u**2\/3 - 573641444814*u + 5736538130940.\nAnswer: -2*(u - 10)*(u + 927621)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.23, -1 in decreasing order.\nAnswer: 0.23, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4*t**3 - 335*t**2 - 580*t - 489. Let n be j(-82). Let m = 4.06 + -0.06. What is the closest to m in 1, n, 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 140709650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 times 26.5\nAnswer: -2.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*d - 26*d + 51*d = j + 32 - 9, d - j + 2 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 87*n**2 + n. Let t(m) = 3*m. Give t(p(h)).\nAnswer: 261*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -466674 = -2913*p - 320*p - 3418*p + 668*p for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5 = -5. Let c be j*(1\/2 + -2). Suppose 0 = 2*x + 3*q - 12, c*x = 4*x + q - 6. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 89*f - 85*f = -277, 4*f = -12. Let a be (0 + 4)*(14 - x\/4). Solve -6*u + 3*r = -2*u + 16, -a*u - 19 = -4*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 + 2)*(3 + -3). Let v be (d + 14\/7)\/((-4)\/(-154)). Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 111498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 4 in decreasing order.\nAnswer: 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 17, 65 in decreasing order.\nAnswer: 65, 17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27 + 31.12. Let d = y - 4.32. What is the smallest value in 5\/3, -3, d, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 5*n**2 - 10*n - 41. Let r be j(7). What is the nearest to -1 in 3, r, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -15*a - 17. Let z(r) = 3*r - 19. Let j be z(2). Let y(i) = 7*i + 8. Give j*y(h) - 6*p(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x - 5. Let i be a(-6). Let y(m) = -2*m + 4. Let h be y(-3). Solve -o - i = -2*w, -3*w + h = -w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -9. Let t be 9\/(-27)*2\/r. Let g = -7.3 - -3.3. Which is the nearest to 0.1?  (a) 3\/5  (b) g  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**4 - j**3 + 3*j**2. Let k(o) = 3*o**4 - 6*o**3 + 51*o**2 + 54*o + 24. Let c(w) = 6*f(w) - k(w). Suppose c(v) = 0. What is v?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, r: 5, k: 5, a: 1}. Give prob of picking 1 k, 1 r, and 1 v.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161*y = -160*y - 3*n - 16376, -n = 6. List the prime factors of y.\nAnswer: 2, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1261657 = -18*u + 1260757 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.053776 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -5*h - 5, -2*h + h - 1 = c. Let g be -6 - -2 - (-4 + -1). Does 6 divide (g*h)\/((-6)\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*x - 36*x + 13*x - 2*x + 14*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x\/(x**(-2\/5)\/x))*x*x**(-8))**(14\/9)\/((x**0)**(-26))**(-23) assuming x is positive.\nAnswer: x**(-658\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 65 = 5*m, 184 = 6*a - 2*a + m. Suppose 3*d = 3*t - 30, 12*t - 7*t - 4*d = a. Solve -1 = y + 2*r + 7, 3*y + 2 = t*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 1 + 0*i - 3*i + 2*i. Let b be j(-1). Let a be (-1)\/1*b\/14. Sort a, -0.1, -3\/5 in decreasing order.\nAnswer: -0.1, a, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.27, -1.31, -2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 5 - 430*h**2 + 429*h**2.\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9976 + -5.9976. Sort 36, -3, 2\/15, d, 4.\nAnswer: d, -3, 2\/15, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 49*l - 45*l - 2512, -3145 = -5*l - 5*j. Calculate the remainder when l is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9 + (-9)\/(8748\/8412) and 43\/30?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h - 1071 = 38*h - 1316. Let w = 5 - 3. Solve -f - l = -w*f - 3, 0 = -h*f - 3*l - 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 3*z. Let k be w(-3). Let s = -1 - k. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6884.029 millilitres in litres?\nAnswer: 6.884029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.15 + 0.35. Which is the nearest to 1\/3?  (a) f  (b) 1\/7  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in thirty-three fifths of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0503 less than -213261058?\nAnswer: -213261058.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 3*n + 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 11:15 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(63)\/(sqrt(9)*2) - sqrt(175)*-3)**2 - (sqrt(343) + -2 + -2))*-1.\nAnswer: -14*sqrt(7) + 6743\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4172 and 16092.\nAnswer: 112644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2550117515 to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5915 divided by 11?\nAnswer: 5915\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 + 58. Let g(t) = t**3 + 3*t**2 - t - 4. Let m be g(-2). Solve -m*j = 5*n - 0*j + u, -5*j - 14 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence srr when three letters picked without replacement from {r: 3, s: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c**2 + 4. Let x(y) = -3*y**2 + 5. Let i(r) = 4*q(r) - 3*x(r). Let j(o) = 3*o. Give i(j(u)).\nAnswer: -27*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -2. What is the second derivative of i - i - 2*i - y*i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/36 + 51\/18. Solve 0 = l*x + 15, -5*u = 2*x - x + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*z - 5*p + 2*p, 2 = 4*z - 3*p. Let r(q) = -1697*q + 75. What is the thousands digit of r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) - (sqrt(91)*2 + sqrt(91))*4)\/(-4*-1*sqrt(7)).\nAnswer: -11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h. Let z be t(-4). Let s = 5 - 7. What are the prime factors of (s\/3)\/(z\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 208859\/30 + -6960. What is the common denominator of m and -149\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 175975.08 months to years.\nAnswer: 14664.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 - 2*n**4 + 0*n**2)*(4*n - 2*n + n + (2 - 3 + 2)*(11 - 11 + 25*n)).\nAnswer: -56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/390873  (b) -0.4  (c) -90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of d**5\/12 - 20*d**4\/3 + 640*d**3\/3 + 270*d**2. Let y(x) = 0. Calculate x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 906300 rounded to the nearest ten thousand?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0138 and -249.6?\nAnswer: -3.44448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1010, 792, 428, -82, -738, -1540?\n\"Answer: -73*m**2 + m + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 297?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 280 and 141176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 216 = -4*a, 2*p - 3*p + 39 = 2*a. Let u be (-14)\/p - 64\/(-126). Factor 2\/3*z**5 - 8\/9*z**4 - u*z**3 + 0 + 4\/9*z**2 + 0*z.\nAnswer: 2*z**2*(z - 1)**2*(3*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00355363629 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, f: 1, l: 2, u: 1}. What is prob of sequence ullf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 164758\/15 - 10990. Calculate the common denominator of z and 19\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1294885483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 697*l - 25073 - 1630 = 310*l for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*v + 20*v - 2142. Calculate the greatest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2007876979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 213946\nAnswer: 21394.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.38 - 0.32. Let b = -1.683 - v. What is b rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x + 8 = 2. Let l be (-7)\/7*0\/x. Let r = l - -5. Solve -r*t = -t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 13*d**2 - 11*d - 22. Calculate x(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 20 = 52. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2184)\/468*12\/(-49)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1128 divided by 8.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -0.07  (c) 2\/145  (d) 4426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 561022 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(((-14)\/(-48))\/7). Suppose 2*h - 3*h + d = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 5*k + 7. Let t(n) = -n**2 + 5*n - 6. Let m be (-58)\/((-5)\/((-20)\/8)). Let w = 31 + m. Let o(u) = w*c(u) + 3*t(u). Determine o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -o**8\/20160 + o**7\/2520 - o**6\/1080 - o**4\/3 - 2*o. Let j(q) be the third derivative of x(q). Find u, given that j(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in 0, 250, 5, -67, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 14*h - 88. Calculate r(-1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {j: 4, g: 6, l: 1, z: 2, n: 2, c: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(800) + -4 - 3*4*sqrt(288)\/sqrt(9).\nAnswer: -4 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s - 28*s = -12. Suppose 224 - 30 = s*b. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 2*k**2 + 3*k + 2. Let s = -10 - -6. Let j be o(s). What is the highest common divisor of j and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4593400 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b + 157 - 157. Let a be (-3)\/(-2) - 1\/(-2). Let n(z) = -2*z**a - 1 + 1 + 0. What is n(r(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 385 and 2365979?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1265 and -1265 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/3 + 1421410*a\/3 - 505101597025\/3.\nAnswer: -(a - 710705)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1789216 and 469200?\nAnswer: 134191200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of q**3\/3 - 91. Let w(x) = 84*x**2. Give i(w(n)).\nAnswer: 7056*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g + 1166. Let p(x) be the first derivative of -x**2 - 13941. Give s(p(u)).\nAnswer: 8*u + 1166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -156 by -24.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -371, -817, -1431, -2207?\nAnswer: -3139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-335)\/(-35) - (-3)\/7 - 5. Solve -6 + 41 = 5*a + g*b, 5*b - 17 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l**5 - 247*l**4\/3 - 185*l**3\/3 + 382*l**2\/3 + 164*l\/3 - 24 = 0.\nAnswer: -9\/2, -2, -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1548790 or 1548791?\nAnswer: 1548790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, 33, -71, -3 in descending order.\nAnswer: 33, -3, -57, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + b + b)*(-38*b + 5*b - 15*b)*(-5 + 4 - 2).\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/6)\/((-1)\/3). Let y = 9 - u. Suppose -5*z - y = 2*w - 34, -75 = -5*w + 4*z. Solve -4*r - r = w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (56 - 5)*(-168)\/(-18).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 483, 634, 885, 1236, 1687?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y**2 + 14*y + 31. What is the remainder when 1327 is divided by j(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13438\/(15310\/(-750) - -21 - (-2)\/25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 12:38 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of 317*j**5\/60 - 2*j**2 - 2171*j - 1. Let b(g) = 14*g**2. What is b(p(o))?\nAnswer: 1406846*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -n**2\/4 - 4382183*n\/4 + 4382185\/2 = 0.\nAnswer: -4382185, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*u - 3 + 4 - 3 + (1 - 2 + 0)*(0*u + 0*u + u).\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k**2 - 8*k + 3. Let a(f) = f**3 - 4*f**2 + 19*f - 4. Let r be a(0). What is t(r)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 7.7. Let a = -0.3 - 0.7. Let b be 20\/42 - 1\/3. What is the nearest to a in b, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -266, -156, 16, 280, 666, 1204, 1924, 2856?\n\"Answer: 5*b**3 + b**2 + 72*b - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2\/5 - 1479*a\/5.\nAnswer: 3*a*(a - 493)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (21\/18)\/(12495\/3780)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4221487747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(16\/3))\/(100164\/(-23568))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 2.8. Let j = 2.7 - 3. Let b = 0.7 - j. What is the closest to 2\/3 in z, b, 1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -368041488 divided by -30670124?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 4*f**2 + 6. Let x be v(-4). Suppose p - x = -2. Let k be ((-4)\/(-170))\/(2\/(-10)). What is the closest to -1 in 0, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1\/2, -25, -0.178?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that r**3 + 6*r**2 - 19*r - 84 = 0.\nAnswer: -7, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 24*o**2 + 3*o - 2*o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 3*y = 52 - 126 + 40, 3*n - 15*y = 14*y + 37 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/13?  (a) -1  (b) 1\/9  (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16394352 and 872040?\nAnswer: 81971760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 40852980, 40852982, 40852984, 40852986, 40852988?\n\"Answer: 2*s + 40852978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71 - 67. Suppose f = -4*x - 3*o + 14, -2*x = -2*o - 12. What is the greatest common divisor of 44 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 63 = -69. Let y be (-3)\/2*w\/297. Which is the closest to -1?  (a) 1\/5  (b) 15  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + n. Suppose -5*j + 24 = 4*l, 4*j = -0*l + 2*l + 14. What is the units digit of m(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 + 4 - 4 + 3 - 1 + (-1 + 2 - 3)*(2 + 2 - 2) + 5 - 2 - 1)*(9288 - 1335 - 12290*g + 12289*g) in the form r + b*g and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -l**6\/480 - l**5\/120 - l**4\/96 + 5*l**2. Solve g(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18.92 + 19.63. Let f be (2*(-1)\/(-6))\/(-1). Which is the second smallest value?  (a) 3  (b) u  (c) f  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 6*o. Suppose q = 5*t - 72, 2*q + 5*t = -3*q - 240. Let f be 164\/q + 4\/26. Sort -5, o, f in descending order.\nAnswer: o, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 + (-115)\/(-15) - 10\/15. Let a(f) = -f**3 + 6*f**2 - 4*f - 3. Let h be a(5). Suppose -t*z + 24 = -h*z. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-3 + (2 - (3 + 0)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2109990266.\nAnswer: 2, 1054995133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 114*s**2*v + 4*v - 86 wrt s?\nAnswer: 228*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*q = 3997, 3*q + 2974 = 3*r + 2*q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 61*s - 20. Let p be v(1). Are p and 41 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 15 - 14)*(-187*c**2 + 187*c**2 + 131*c**5) + 2*c**5 - 4*c + 4*c.\nAnswer: -1832*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -13*c**3 + 2*c**2 + c. Let y be i(-1). What is the derivative of 3*f - 11 + y + 9*f + 11 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1450.69 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*n**2 + 90*n**2 - 19*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 5*b - 17, -d = b - 4*b - 1. Suppose r + 12 = d*r. Suppose 2*v = -5*i + 32, -r*v = -2*i - i - 48. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.240196 and -1?\nAnswer: 0.759804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1486 or 1497?\nAnswer: 1497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*n + 41 + 15 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9, -66, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j*j*j\/(j*j**13*j)*j*j)*j**(1\/17)\/j*(j*j**(-2\/17))\/(j*j**27*j*j) assuming j is positive.\nAnswer: j**(-324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -44677.52 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 20021990 rounded to the nearest 10000?\nAnswer: 20020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 273 minutes before 1:43 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 411294011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5992278, -5992278, -5992276, -5992272, -5992266, -5992258, -5992248?\nAnswer: -5992236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 220103 (base 4) to base 8\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, -178\/3, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 + -61. Let d = -22 - q. Which is the nearest to -0.1?  (a) d  (b) 1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/144212 and -97\/151190.\nAnswer: 9373780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74008 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-3 + 2) - 18. Let m = -2 - c. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3627651?\nAnswer: 3, 19, 31, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24429.\nAnswer: 3, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - 16. Let o = j - -13. Let g = o - 13.00045. What is g rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, o: 7, g: 1}. What is prob of picking 1 g and 1 a?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a + 11. Let m be q(6). Let f(r) = 2*r + 11 + 24 - r. Let h be f(0). Calculate the greatest common divisor of m and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209617731.\nAnswer: 3, 79, 294821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 443157 and 26410891?\nAnswer: 25967734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -288657, -288654, -288651, -288648, -288645?\nAnswer: -288642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -172 + 172. Suppose h = 5*q, q - 2*q - 12 = -3*z. Solve 0 = 2*l + 3*v - 5, -5 = z*l + 2*v - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 0 - (17 - (-15 - -34)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*q = -0*q + 102, q = 4. Calculate the greatest common factor of d and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 0.939, 3, -636?\nAnswer: 0.939","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 23, -2946, -0.23?\nAnswer: -2946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/12 + (-26)\/(-8). Factor -3*l**5 + l**4 + 2*l**5 - 4*l**w - 2*l**5.\nAnswer: -3*l**4*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzppnxnz. Give prob of sequence xn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 22 = -2*p, -3*p + 34*x - 32*x = 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 64396699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2607, 5779, 9523, 13839, 18727, 24187, 30219?\n\"Answer: 286*n**2 + 2314*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - i + 5 = -3, 2*i = -x + 1. Suppose -3 = -4*n + x. Suppose v + 11198 = d, d - 2211 = -n*v + 8993. Round d to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 178*k**3 - 8 + 673*k**3.\nAnswer: 495*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-2\/11))**(-2\/15)*(g\/g**(3\/5))**(-26))**(20\/7) assuming g is positive.\nAnswer: g**(-6968\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**5\/4 + 559*x**4\/4 + 18919*x**3\/2 - 5619479*x**2\/2 + 411240561*x\/4 - 400040001\/4 = 0.\nAnswer: -339, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 7*i + 102, -26 = -l + 3*i + 12. Calculate the greatest common divisor of l and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 2:14 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/(-1) + -14 - -9. Solve -y = 2*s - 0*s - 4*w, 4*s + 3*w = 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 11:27 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 152*b + 56. Let x(d) = -26 - 20 + 8*d + 49. Give -6*w(y) + 112*x(y).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 5  (c) -2  (d) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*l - 368*l + 342*l + 16*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 10 + 16 = -3*d, 0 = -3*d + 4*w - 20. Let u be (d - -3) + (-15)\/(-3). Solve u*g = -2*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 199506 and 5952.\nAnswer: 197909952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 2*r = 1, -11 + 3 = 4*r. Which is the nearest to 1\/15?  (a) -5  (b) 2\/11  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 3*c + 12. Let f(x) = -x**3 + 2*x**2 - 3*x + 2. Let l be f(2). Let v be i(l). Solve v = -g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*25280\nAnswer: -101120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 638419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 1349950.\nAnswer: 3\/1349950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**6\/360 + c**5\/24 + 2*c**3\/3 - 5. Let o(d) be the third derivative of k(d). What is the second derivative of o(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61656*w + 15 - 31 + 16.\nAnswer: 61656*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26.65 - -25.65. Which is the nearest to 2\/5?  (a) -3  (b) t  (c) 4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (3 - -3)) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -5*w**2 + 37905*w - 75790 = 0.\nAnswer: 2, 7579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-51) - 27000\/(-1700)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -5*c + 2. Let k be s(-3). What is the greatest common factor of 153 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 0 + 0)*(0*v + 5*v - 3*v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 5*l**2 + 3*l. Let c(u) = -u**3 - 5*u**2 - 2*u + 1. Let g(v) = 3*c(v) + 2*w(v). Give g(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 8*q**5 + 104*q**4 - 126*q**3 - 343*q**2 + 118*q + 234. Let c(w) = w**5 - 2*w**4 + w**2 - w. Let o(t) = 5*c(t) - g(t). Let o(j) = 0. What is j?\nAnswer: -39, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 4:38 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6441 (base 8) in base 11?\nAnswer: -2586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 8*a + 111. Let g be q(-14). Let n(c) = -7*c**3 + 7*c**2 + c. Let j(p) = p**3. Let b(f) = g*n(f) - 6*j(f). Determine b(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -40 + 150. Let u be (4 - 2)\/(5\/y). Suppose -2*i + 5*a = -u, 0 = -6*i + i - 5*a + 145. Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of d**8\/168 + 19*d**7\/21 - 219*d**5\/10 - 1917*d**2. What is the third derivative of x(t) wrt t?\nAnswer: 120*t**2 + 4560*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 353637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - a + 70. Suppose 0 = 3*k - k - 4*g - a, 4*k - 22 = 2*g. What is the remainder when 8 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*c - 0*c - 2*p, -5*c + 3*p = 32. Let o be (-312)\/(-18) - c\/6. Suppose 0 = 5*l - 7*l + o. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 0.2  (c) 18  (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 1:36 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -16 - (12 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/38 + 12\/(-114). Let n be 9 + -18 + (h - -3) + -3. What is the tens digit of (-6 - n)*31*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.02 - -10.98. Let z be 5\/(5\/(-28)) - -2. Let t = 28 + z. Which is the second smallest value?  (a) n  (b) 3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13817008 by -25778.\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38 - (-6 - (-2 - 2)) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - -7. Suppose -3*s = -u - 55. Determine h so that -19 + 4*h + s + h + h**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-5)\/p)**(4\/19)*(p*p**12)**(-2\/3))**34 assuming p is positive.\nAnswer: p**(-19244\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*i - 244. Suppose -4*r + r = 3*d - i, -4*d = r - 52. Suppose -d*g + 19*g - 21 = 0. Which is the closest to 1?  (a) g  (b) -3  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, s: 1}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**5\/7 - 60*k**4\/7 - 8*k**3\/7 + 1796*k**2\/7 + 3366*k\/7 + 232 = 0.\nAnswer: -4, -1, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -475, 1\/5, -1.6, -3, -27.\nAnswer: -475, -27, -3, -1.6, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -18  (c) 4\/5  (d) 1  (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10132 - -120?\nAnswer: 10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/27*((-136)\/(-40))\/17.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1548)\/344*220\/(-3). Calculate the highest common divisor of t and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010101101 - -1?\nAnswer: 10010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 3\/(-3))*1. Suppose -3*l = -5*l + 4, w*l = 4*t - 48. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -1157082?\nAnswer: -1157083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 11) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -q**4\/12 + 13*q**3\/3 + 23*q**2\/2 - 26*q. What is the tens digit of g(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n*n**(2\/7)*n))**0\/(n\/(n\/(n\/(n\/(n\/n**6))))*n\/(n*n**(-17)*n)) assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10.783 - -132.783. Which is smaller: 1.01 or r?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -12. Let x(n) = n**2. Let g be 6 - (-2 - -4)*1. Let u(y) = y - g*y**2 + 2 - 1 + 0*y - 2. Give t*u(k) - 6*x(k).\nAnswer: -2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1206951 (base 12) in base 13?\nAnswer: 954c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66862 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u. Let j(l) = -67*l - 16 + 16. What is w(j(m))?\nAnswer: 134*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11*187\/(-14399) - ((-107)\/14 - -1)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 351887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46333416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3292.5 - -3\nAnswer: 3295.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 15 = 5*y, -4*y - g + 1 = -2. What is the derivative of 87*m**2 - 87*m**y - 3 - 14*m**3 wrt m?\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0 - 10. Let f(w) = 2*w + 5. Let r be f(s). What is the second biggest value in 1, 2, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5704987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 130.1 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*w = 2*i + 1 + 1, 36*i = -3*w + 37*i + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -3*g - b + 5*b, -3*b - 30 = -3*g. Suppose 0 = 5269*h - 5334*h. Solve h - 1\/2*c**g - c**2 + 0*c - 5\/2*c**3 - 2*c**4 = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2943.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -532*j + 198730 = 798*j + 1008*j for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(4*1\/388). Let u = x + -96. What is the units digit of ((1243\/(-22))\/((-2)\/4))\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) -3  (c) 0.4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-1)\/3*-3. Let h = o - -5. Solve -3*s = -h*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3 = 3*z + 5, -2*t + 2*z + 8 = 0. Suppose 3*y - 57 = -4*p + 34, t*y - 66 = -4*p. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 94984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, h: 3, d: 10}. What is prob of sequence hgdh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17563 - 17543. Calculate the smallest common multiple of 3844 and z.\nAnswer: 19220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13247*b*z + 2898*z wrt b.\nAnswer: -13247*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359 is divided by 115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4a (base 13) to base 8\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*n - 3*y = 25, -5*n - 2*y = -25. Suppose 2*u = n*u - 69. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -2\/33  (b) 7  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -9 - 32) + (-4 + -4 - -1 - -18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 equal to 716824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 3*j + 4*j + 104, -16 = 4*j. Suppose -3*r + u = 221. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/452*(130\/312*3)\/((-20)\/(-32)).\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 168460650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 35656, 71781, 107906, 144031, 180156, 216281?\n\"Answer: 36125*s - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 17, -9 in descending order.\nAnswer: 35, 17, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*a**3 - 36*a**5 - 49*a**5 + 84*a**5 + (1 + 1 + 3 + (-2 + 1 + 2)*(-4 - 3 + 6) + 0 - 2 + 0)*(5*a - 2*a**5 - 5*a) + 3 - a**5 - 3.\nAnswer: -6*a**5 + 50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 69300 and 13095852.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of 31\/2*t**2 + 0 + 11\/2*t**3 + 21*t. Differentiate m(b) with respect to b.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 53361*a - 53362*a = 6, 10 = 3*m - 2*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -16480 divided by -10\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m = b - 68, 3*m - 17*b + 3788 = 2929 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 3*f + 0*f)*(-11 + 11 + 6*f**2) + (1 + 1 - 3)*(2*f**3 + 3*f**2 - 3*f**2 + (1 - f - 1)*(-f**2 - 2*f**2 + f**2) + f - 6*f**3 - f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8145299 is divided by 880.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 1:30 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -237167029 divided by -326227.\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (900\/324)\/((-32)\/72).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 4*z + 4*f + 13, 0 = z - 5*f - 21. Are z and 2\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -5, 2, 13, 28?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 890217 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -4*q + 4. Let k be (-6)\/5*q\/4. Is 8*(k\/12 - -1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 689 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2970 - 11?\nAnswer: 295a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 226 = -2*d. Suppose h - 293 = -d. What is the highest common divisor of 72 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -6*q + 5. Suppose 0 = -q*i + i. Suppose 4*y - 3*d + d - 32 = i, -4*d = 5*y - 53. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/((-19)\/(-22) + -1). Let t = -15 + f. Suppose 5*g - t = 2*v + 58, 0 = 3*v - 15. What is the remainder when 26 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**5 - 1128*h**4 + 6861*h**3 - 5802*h**2 - 27396*h + 41256 = 0. What is h?\nAnswer: -382, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 501.8868 grams to nanograms.\nAnswer: 501886800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x. Let a(q) = -944*q**2. Calculate a(h(y)).\nAnswer: -15104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2*o = 0, -2*r = -2*o - 3*o. Suppose -g + r = -5. Which is the closest to 1\/4?  (a) -0.4  (b) -6  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 17. Let n(g) = 21*g + 36. Let v(l) = 4*l + 7. Let p(c) = s*v(c) - 2*n(c). Calculate p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*m - 5 = 4, 4*k - 12 = -4*m. Suppose 0 = -k*q + 4*q. Suppose 3*h - 76 - 35 = q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -14. Let w = 1 + -0.5. Which is the smallest value?  (a) -4  (b) f  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7227 - 7236. What is the third smallest value in 0.3, j, -2\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 0*k = -48. Find the common denominator of (-238)\/k - (-5 + 2) and 2\/4*-77 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*l**5 - l**5 + 3*l**5 + (-2*l + 1 - 1)*(l**4 - 2*l**3 + 2*l**3).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4079 and 5?\nAnswer: 20395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o + 6*o**2 - 4*o**3 - 5*o + 7*o**3 + o. Let c(b) = -8*b**3 - 17*b**2 + 17*b. Suppose g + 0*g - 11 = 0. Give g*m(h) + 4*c(h).\nAnswer: h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -66920, -66799, -66666, -66521, -66364, -66195, -66014?\n\"Answer: 6*s**2 + 103*s - 67029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12 + 4\/(-7) + 21\/(-49). Let d(b) = b - 4*b + b**3 + 9*b**2 - t*b**2 + 1. Determine d(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 10:44 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) 3  (c) 2.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jkjjkjkkkkkkjk. What is prob of picking 1 k and 2 j?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -212 - -223.3. Let s = 11 - o. Put s, 2\/9, 19, 4\/7 in ascending order.\nAnswer: s, 2\/9, 4\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 99691570 to the nearest one hundred thousand.\nAnswer: 99700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**4 - 92*p**3 - 353*p**2 - 82*p + 528 = 0. Calculate p.\nAnswer: -88, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 136495099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -203986*m + 203981*m - 35 = 5*x, 3*m = 7*x - 41 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1771, -3531, -5291, -7051, -8811, -10571?\nAnswer: -12331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*k**3 - 2 + 83*k**3 + k**2 + 23*k**3 + 5*k - 18*k**3 - k**4 - 7*k in the form t*k + m*k**2 + s + v*k**4 + f*k**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/13)\/(1*(-3)\/27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7959, -7962, -7967, -7974?\nAnswer: -7983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13524?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/8 of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 407*u + 607 wrt u.\nAnswer: 407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 6*q + 5. Let y be 2\/3*(-1 + (-68)\/(-8)). What is v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**5 + 954*w**4 - 49804*w**3 - 285696*w**2 + 762944*w = 0. Calculate w.\nAnswer: -524, -7, 0, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20\/8649 or 1?\nAnswer: 20\/8649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -b3a515 (base 14) to base 13\nAnswer: -1342269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-16))\/((-25)\/(-200))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -5601412 > -67216955\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270 = 11*k + 34*k. Suppose k*s - 952 = -124. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 - (-5 - (-7 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/3))**(-33)*(q**(2\/7))**(5\/6))**47 assuming q is positive.\nAnswer: q**(-10622\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3 + 6 - 5*c + 15*c**2 - 13*c**2. Determine i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k**3 - 19*k**2 - 56*k + 280. What are the prime factors of a(23)?\nAnswer: 2, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*k + 8*k + 6330 = -140*k for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -37e4e + e?\nAnswer: -37e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and 0.0287.\nAnswer: -3.9713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74265911 + 74265911 + 3904*k.\nAnswer: 3904*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 16 = -4. Let q be (-51)\/(5 + 4\/(-1)). Let z = -40 - q. Solve -4*h - z = -y, -h + 1 = -i*y + y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**4 + 10000*z**3\/11 + 275510*z**2\/11 - 305400*z\/11 - 570888\/11 = 0 for z.\nAnswer: -27, -1, 2, 5286\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 28*-0.21\nAnswer: -5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15370217 and 75397.\nAnswer: 10771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/7 - (-2372)\/(-28). Let r = 208 - f. Let o = r - 144. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186 and 31454615?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (37 + 8\/2)\/1. Suppose -3*c - i = -104. Is (c - 2)\/(-4 - -5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 14711685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -95.6 + 94. Let z = j + 1.5. Let o = -0.2 + 4.2. Which is the biggest value?  (a) 1\/2  (b) o  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26*(-60)\/24960*-496\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 4. Let m = -3 - -7. Sort n, m, -1 in decreasing order.\nAnswer: m, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(-2)\/(-30) + (-3)\/15. Let f(g) = -5*g + 5*g + u*g - 2*g. Let p(b) = 2*b**2 + 12*b. Determine p(f(z)).\nAnswer: 8*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 360 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 5*q + 38. Let s be a(-7). Suppose -s*j + 102 = -3*b, j + 106 = 4*j - 2*b. Let d be 37 - (-4 + 2)*3\/6. What is the greatest common factor of j and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of 0*f - 1\/6*f**4 - 3*f**2 + 0 - 5\/3*f**3. What are the prime factors of k(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130304133 (base 6) to base 11.\nAnswer: -1488110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*o + 2*x - 269, -o + 5*x = -262. What are the prime factors of o?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 2*w + w. Let c = -12 - w. Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 91826336.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f\/(f*((f*f**2*f)\/f)\/f))**(-26)*(f\/(f\/f**(-6\/13)))\/(f\/f**17))**37 assuming f is positive.\nAnswer: f**(7474\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62536.\nAnswer: 2, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-seven quarters of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = 19*x - 23*x - 5*i, 0 = 4*x - 0*x + 50*i + 666 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1565 times 173?\nAnswer: -27.0745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 113*v = -117*v - 21, 13 = 2*h + 3*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/7 and 36\/121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2577 - 735. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**2\/4 + 13773*w\/4 - 82206 = 0. Calculate w.\nAnswer: 24, 4567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 946 and 9328?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37829, -151321, -340475, -605291, -945769, -1361909, -1853711?\nAnswer: -2421175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 88 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) 3\/7  (c) 6679\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccpcppppccccp. Give prob of picking 1 c and 1 p.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18815 + -18763. Calculate the greatest common divisor of 196 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 7:11 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150 divided by 16.\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 803 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 < 27884\/1279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -18, -12, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*-2*1\/(-34). Let d = 0.41 - 0.01. Which is the third biggest value?  (a) 2  (b) d  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2527797 + 20193831\/8. Let v = -3573 - f. Let i = 1701 + -5162\/3. What is the common denominator of i and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*v + 36 = 83*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -27*g**2 + 4. Let c(x) = 31*x**2. Give c(s(u)).\nAnswer: 22599*u**4 - 6696*u**2 + 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 6 = 2*w. Suppose 1 = -f + w. Suppose -f*c + c = -5*u + 27, -u + 5*c + 15 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 10. Let x = -6.4 - d. Which is the nearest to 0.1?  (a) 0.5  (b) 4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57\/145 - -6\/29. Let u = -20.7 + 22.7. Let c = 525 + -525.3. What is the second smallest value in m, c, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 229.6929 litres?\nAnswer: 229692.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*o + n - 140, n - 5 = -5*o + 15*o - 12*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 193 - 83. List the prime factors of k.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 8*u + 10. Let l be y(-7). Let c = l + -8. Let p(s) = s**3 + 6*s**2 + 5*s + 1. Let m be p(c). What is the third biggest value in 4, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61 + -37. Let z be (-51)\/(-21) - w\/(-42). Suppose 0 = z*m - 5 - 19. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {m: 1, n: 2, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 620 divided by 124.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-1888)\/(-2464) - (72\/(-42))\/(-2)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/6 + (-27045)\/(-108)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 4*w - 4 = 0, -12 = 4*m - 14*w + 12*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1028074 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -646*u**6\/3 - 184*u**4\/3 - 2*u**3\/3 - 127*u + 1. What is the third derivative of y(n) wrt n?\nAnswer: -155040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of t**3\/3 - 1325. Let z(k) = 6112*k. Calculate b(z(h)).\nAnswer: 37356544*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**3\/9 - 22754*f**2 + 7911664*f\/3 - 688119656\/9 = 0.\nAnswer: 58, 102277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 5  (c) -2  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 179 - (-11227)\/412*-4?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12444 divided by 3.\nAnswer: 4148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 438.0799 + -0.0799. Let p = 439.93 - t. Round p to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29523050 divided by -18475?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 139*b**2 - 28*b - 20. What is the hundreds digit of c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + -7 + 20)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -161 (base 12) to base 2\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 250771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 - 5 - 130 = 28*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r. Let x(b) = -6. Let u(s) = s + 5. Let q(z) = 6*u(z) + 5*x(z). Determine j(q(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/2 - 3)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*m + 33*m = 1936. Calculate the highest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 5*t**2 - t - 3. Let y be o(-5). Let m(k) = 3*k**3 + k**2 + 2*k - 3. Let c(r) = -r**3 - r + 1. Let j(v) = 4*c(v) + m(v). Give j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 215082575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 660346?\nAnswer: 2, 41, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 393128 is divided by 23101?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -1990*b**3 + 64*b**2 - 18. Let n(p) = -1987*p**3 + 63*p**2 - 21. Let j(z) = 3*f(z) - 4*n(z). Find the third derivative of j(s) wrt s.\nAnswer: 11868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**4 - 2815*m**3 + 2830*m**2 + 5640*m.\nAnswer: -5*m*(m - 2)*(m + 1)*(m + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + s**2 + s - 1. Let m be t(0). Are m and -5\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide ((-78)\/(-65))\/(2\/75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 10*l**2 + 5*l - 3. Let k(u) = 9*u**2 + 6*u - 3. Give 7*j(r) - 6*k(r).\nAnswer: 16*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**3\/5 - 6188*f**2\/5 + 997248*f\/5 - 41291712\/5 = 0?\nAnswer: 84, 2926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 820 + -760. Solve p = -4*k + 14*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*w**2 - 15*w + 36*w - 21*w.\nAnswer: 65*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 3*t + 4. Let g be w(4). Let f be (-2 + 2)*(-2)\/2. Suppose f = 5*i + 3*l, -3*l + 2*l + 10 = 5*i. Solve 0*p = d + i*p - 5, g = -p + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 367 + 1483.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.7, -1.3, 2, 0 in decreasing order.\nAnswer: 2, 0.7, 0, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -366, -360, -354, -348?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 7*o**2 + o + 7. Let b be f(-7). Solve -j - 7 = r, -2*r + b*r + 5*j + 7 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1140 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -807*r**3 - 601*r**3 - 469*r**3.\nAnswer: -1877*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 508841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 161 - 29*g - 43 - 30 - 48.\nAnswer: -29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -4969.755 to zero decimal places.\nAnswer: -4970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = 265 - 314. Solve 0 = i*j + 48 - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5131 + -5126. Let f = 323\/5 + -65. Sort c, 10\/9, f in increasing order.\nAnswer: f, 10\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(10\/(-378))\/(10200\/12240)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -s**5\/60 + s**4\/12 + 2*s**3\/3 - 6*s**2. Determine d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 129*q**2 + 1945*q + 3472. Calculate m(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 363750979.\nAnswer: 233, 1561163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (11 - (14 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120031330113202 + -1?\nAnswer: 120031330113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - i = -2*h - 8, 0 = -2*h + 5*i - 7. Let p(u) = -24*u - 11. Is p(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c156 (base 14) to base 4.\nAnswer: -20012300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1013 - 4261 = -9*b. Suppose -b = -4*g - n, 2*g - 300 = -0*g + 3*n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, u: 2, s: 4, m: 9}. Give prob of picking 3 s.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do -603\/23 and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2*1 + 3). Let i = 2 + l. Let h = 6 - i. Solve -d - h = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 - -8. Let u = 35.00944 + p. Round u to four decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 7.8. Let t = -0.1 - l. Let h = 1 + 1. What is the closest to h in 4, t, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*3\/12 + -2. Does 26 divide 2 + -3 + (-53)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 701103 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2\/3 + 22690*p\/3 - 7565.\nAnswer: 5*(p - 1)*(p + 4539)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5356606 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -646625\/4146126 + 1\/22291. Find the common denominator of i and 167\/42.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/5)*t\/(t\/(((t**(-5)\/t)\/t)\/t)))**(-7)\/(t**(-3\/8)\/t**(-7))**(-28) assuming t is positive.\nAnswer: t**(2443\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 3617559894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + 13 - (-2 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k + 2*w + 4, -4*k + 4143*w - 4144*w = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q*(q**(-2\/3)*q)\/q*q*q)\/q)**(-28)*(q*q*q*q**6*q)\/q**(-4)*(q*q**4*q*q*q**(-6))**(-22\/7) assuming q is positive.\nAnswer: q**(-1144\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 18, 36, 38, 18, -30, -112, -234, -402?\n\"Answer: -d**3 - 2*d**2 + 31*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 17 = -3*s, -3*s - 9 = -135*d + 129*d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 9. Let t = k - -9. What is the third derivative of -5*i**2 - 4*i**2 + i**3 + 6*i**t wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-1 - 1) - -1. Let k be i\/(((-4)\/3)\/4). Suppose -k*h + 2*h - 5*u + 5 = 0, -4*u = 4*h - 36. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*a**4 + 6*a**4 - 7*a**4 + (-2*a**2 - 2*a**2 + 3*a**2)*(-a**2 + a**2 - 2*a**2) + (3 - 1 - 5)*(3*a - 3*a - 4*a**4).\nAnswer: 21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/144 and -5\/22273392.\nAnswer: 66820176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-1001)\/(-65) - 15)*(52 - (-5 - -2))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 13) + (-1 - (14 + -4 + 2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 86*a**2 - 9*a + 64. Is l(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.8 times -123?\nAnswer: 467.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 128871 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19.3, 1, 3\/5, -3\/4, -3\/2 in ascending order.\nAnswer: -19.3, -3\/2, -3\/4, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s*s*(s*(s**(6\/17)\/s)\/s)\/s*s)\/s*s*s)*s*s**(3\/2)*s*s\/s**(-38)*s**18)**24 assuming s is positive.\nAnswer: s**(24132\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, b: 4, u: 2}. Give prob of picking 1 u and 1 b.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 18 * -242\nAnswer: -4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 134401 (base 6) to base 14.\nAnswer: 4893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -521 (base 9) to base 4\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 - -2111521?\nAnswer: 2111531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 669559770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0906 + -0.13475. Let u = w - 41.57585. Let g = -41 - u. Round g to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28190*j + 16 - 28 - 5 - 23.\nAnswer: -28190*j - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*r + 17 - 17. Suppose r = 4*w + 20 - 12. List the prime factors of -2*2 + -4 + 244 + w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/373?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -92.61 - -92.21. What is the closest to h in -0.5, 5, 172?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 220*s - 1538. Let d be b(7). Solve 0 = -3*x + 3*z + d*z + 22, 2*x + 2*z = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(486) + sqrt(486)*-2))\/(4*sqrt(18)*-1).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 1611  (c) -5  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4508)\/(-1449))\/((-10)\/(10 - -170)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3983*m + 28. Determine x(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9.79 + -0.21. Suppose -20*f = -19*f + p - 5, -f - 6*p + 35 = 0. Which is the closest to f?  (a) i  (b) 2\/5  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-102)\/153 + 4 + 366562\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.6 in -3, 2\/9, -1\/8, -37?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*j + 3 - 5*j**3 - 6*j - 1 to the form z + q*j**2 + o*j + g*j**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 223*p**3 - 54*p**2 - 9*p - 30. Let r(x) = 111*x**3 - 24*x**2 - 4*x - 14. Calculate -4*h(y) + 9*r(y).\nAnswer: 107*y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3995 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (36\/63)\/((-4)\/(-14)). Suppose 4*a - 2*j - 193 = -3*j, -x = -2*j. Calculate the greatest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 0 + 212*j**2 + 0 - 208*j**2. Let b(c) = 12*c**2. Give b(x(v)).\nAnswer: 192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11290, -22593, -33896, -45199, -56502, -67805?\nAnswer: -79108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144160 = 7923*b - 185433 + 76057 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/149966 and -41\/6680.\nAnswer: 2999320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18.9*1040.\nAnswer: -19656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -317, -1\/8, 0 in descending order.\nAnswer: 0, -1\/8, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5038 and 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(468)*1*-3)**2.\nAnswer: -12636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 105429864 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.172 + 1.828. Let i = -2.9 - -3. What is the third smallest value in t, i, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 = -3*l - 5*r, 8*l - 404 = 3*l - 2*r. Calculate the remainder when l is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 75 = i, 4*o - 3*i - 31 = 268. Is o*((-6)\/(-3) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -9*n**3 - 2*n**2 - 5*n + 5. Let w(l) = -10*l**3 - l**2 - 6*l + 6. Determine 6*b(o) - 5*w(o).\nAnswer: -4*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/49, -122, -2, 3?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 164357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -152*m - 25. Let a(u) be the second derivative of u**3\/3 - 2*u**2 - 7*u. Let z be a(-4). Is w(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 equal to -244960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4 - 36*g**3 - 6*g**2 + 104*g + 72.\nAnswer: 2*(g - 18)*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3821 - 36061?\nAnswer: -40882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77)*-2*-5 + sqrt(77))\/(sqrt(11) - sqrt(704)*2) - (-3*sqrt(42)\/sqrt(6) + sqrt(63)\/(sqrt(9)*2)))**2.\nAnswer: 19663\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9061496671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*h + 4*h - k, -10 = -2*h - 3*k. Solve 3*l = -l + h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100.9315755 nanoseconds in weeks?\nAnswer: 0.00000000000016688421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56101073?\nAnswer: 7, 499, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 0.3. Let y(w) = w**3 + 133*w**2 - 834*w + 5. Let s be y(-139). What is the nearest to 1 in -2\/9, s, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1682 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 2*m = -4. Suppose 2*i + m*i = 12. Suppose -q + 9 = g, g + 5*q = i + 18. Calculate the least common multiple of g and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -502.399 + 550.57. Let w = b + 0.029. Round w to zero decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 557 + -16?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 - 103 = -66*w. Solve 0 = -t + 4*z + 3 + 7, -w*z - 2 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-2) + 2)*18. Let b(i) = -53*i + 29*i + y*i. Let o(a) = -3*a - a - 11*a + a. Calculate o(b(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 - c**2 + 11*c. Let w(r) = 115*r**3 - 16*r**2 - 44*r. Give -4*p(f) - w(f).\nAnswer: -111*f**3 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 4*q**2 - 36*q - 37. Let r be h(10). What is the highest common divisor of r and 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -3 + 9. Let b(q) = 7*q - 3. Let p be b(x). Let c be (4\/(-5))\/((-4)\/10). Solve 2*t = 5*l + 19, -3*l - 2*l - c*t = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -203.6 - -2.6. Let a = g - -200.9505. Let m = a + -23.0505. Round m to 0 dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*q = -132 - 168 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88 + -64. Suppose 4*b - u + 822 = 3*j, -804 = -3*j + 2*b. Calculate the highest common factor of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19260*l*p*v**2 - 5328*l*p*v + 17*p*v**2 - 4207961*p*v with respect to l.\nAnswer: -19260*p*v**2 - 5328*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -6. Suppose -q = y*a - 0*q + 10, 0 = q + 2. Let j(x) = -2*x**3 - 2*x + 4*x**2 - 2 + 4*x**3 + 4*x. Give j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 150 + -148. Let c be 0\/11 - 1*-2. Solve -3*q + 6*q = c*p - x, 0 = 3*p + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -15, 5, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 23*k - 51*k + 26*k. Let c(d) = -2*d - 5. Let h(v) = -v + 1. Let o(q) = -c(q) - 5*h(q). Calculate j(o(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 96567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-36)\/6 - (-2 - -1). Let b = -18 - l. Let c = 46 + b. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(176))*-2 - sqrt(176))**2 + (sqrt(176) + 1*sqrt(176) + -3)**2)*-1 + 5.\nAnswer: -2292 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 - 20*s - 17. Let q be c(11). Solve -4*u + 5*r - 3*r + 10 = 0, -5*u + q*r = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 7. List the prime factors of (-22 - (-4 - w))\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.29 + -0.09. What is the nearest to 1 in f, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f - 1. Let y be (20\/(-12))\/((-16)\/48). Let a = 62 - 34. Suppose -y*w = a - 3. Give d(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17.3 + -0.3. Let w = m - 13. Let g = 43 - 171\/4. Is w >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-44) + (-106)\/(-22). Let v(p) = -p**2 + 7*p - 4. Let u be v(k). Solve -5*b + 14 = -u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 - 5*u - 6. Let h be b(-6). Let v = -9 - h. What is the remainder when 7 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(343) - (sqrt(343) + sqrt(343) + 0) - (sqrt(112) + -1 + sqrt(112))) + (-2 + sqrt(175))*3)*-6)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4164759262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -30*h**2 + 43*h + 42. Give k(-3).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + 1*(sqrt(99)*2 + sqrt(99)))\/(sqrt(27)\/sqrt(3)*-1)*-2 + (3 + 4 + (-2*sqrt(1100))**2 + sqrt(1100))*6.\nAnswer: 68*sqrt(11) + 26442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043041561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6\/585*9*20\/(-4)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2e + 47c?\nAnswer: 44e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 13 = -3. Let m = f - -27. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 7812 - r - 3*r - 7828. What is u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9\/52 or 0?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 8620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**2 - 1189*g + 3558 = 0.\nAnswer: 3, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 1 = d, 558*d = 559*d - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.86156 to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -228 * 0.4.\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -7. Suppose -10 = -2*n - 3*n. Suppose 10 = -2*c - 5*b - 1, -3*c - n*b = 0. Solve 3*k = c*k - o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-6)*(-915)\/50. Suppose -1933*n + 1915*n = -198. Let t = d - n. What is the third biggest value in 0.2, 2, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g + 10*g + 1192 = 0. Suppose 2*u - 5*u + 1814 = -5*l, 0 = 2*u + l - g. What are the prime factors of u?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38, 178, 406, 716, 1102?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32 - 12203001?\nAnswer: -12203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2143*d**2 - 5*d + 4. Let k be w(1). Let y = 1544 - k. Suppose -2963 = -3*u + y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8.88 + -0.12. Let o = 630 + -630. What is the nearest to o in l, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 195 - 45 = 44*n, 0 = -3*v - n + 30 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -7*o**3 - 93 - 50 + 31*o**3 + 150 + 7*o. Let j(u) = -12*u**3 - 4*u - 4. Give 7*j(m) + 4*p(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l**2*n**2 - 538038535*l**2*n*r + 71*l*n**2 - 155689*l*n*r + 2*l*r - n*r + 1 wrt l.\nAnswer: 2*n**2 - 1076077070*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 218 + -214.28. Let j = x - -0.28. Sort j, 22, 5 in descending order.\nAnswer: 22, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -89, -118, -131, -122, -85, -14, 97?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 8:20 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 74101, 148201, 222301?\n\"Answer: 74100*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10470734?\nAnswer: 2, 5235367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1200 + -111?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 2, -26\/133, -2\/37, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4420 (base 15) in base 11?\nAnswer: a929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-350)\/80)\/7*(-11)\/(440\/(-168)).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3395, 3400, 3407, 3416, 3427, 3440?\nAnswer: 3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 698 - 678. Solve 4*l + 4*u = k, 5*u + 5 = 3*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41*r**4 + 509.\nAnswer: -164*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -503232 (base 12) to base 11\nAnswer: -783994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1044718\/2435 or 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 2 + 10\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18415 and 155005.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*(20\/(-5))\/(-8). Solve z - 3 + 1 = -2*x, 9 = o*z - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 2:09 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -14. Let w be (-44)\/(-1 + 2 - r). What is the highest common factor of w and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppjcpoppppoopooppppp. What is prob of picking 1 j and 1 p?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.98 plus -283.85?\nAnswer: -281.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/35 and -11\/234330?\nAnswer: 1640310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -523.91106 + 523.02. What is g rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 2:12 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 123, 528, 1207, 2160, 3387?\n\"Answer: 137*m**2 - 6*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -120\/47 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y + 7 + 2*y + 67*y**2 + 2*y - 6*y + 5. What is the thousands digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1080054654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = d + 2*y + 3*y, 4*d = 4*y + 36. Suppose -d*p - 946 = -1065. Calculate the remainder when 133 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 4, -39, -5, 87, 43 in ascending order.\nAnswer: -39, -23, -5, 4, 43, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3188387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ojjoojo. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 + -24. Suppose 0 = -3*m - 2 + 44. Let f = m - n. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from jpejjpppppep?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 8)*(1 - 3). Suppose -3*p - 9 = -0*p + 3*i, 4*p + 2*i = -g. Does 5 divide 1 + p\/((-5)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -1\/459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 9:31 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 282 - 282.32. Let a = 0.573 - -0.427. Which is bigger: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -699 - -699. Suppose -21 = 4*n + q, 4*n + 24 = 5*q - 15. Let z = 8 + n. Sort z, y, 4.\nAnswer: y, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4218\/5985 + 2\/(-15).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13003241 (base 5) in base 6?\nAnswer: -2404434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291738 is divided by 72934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 6*x - 2 = 0. Suppose -14 = -x*s - 5*d, -4*s - 3*d + 30 = -s. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 11 = 4*o - 5*j, 0 = 3*o - 4*j - 16. Suppose k = -4*l + 26, 7 = 4*l - o*k - 9. What is the least common multiple of 16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 15086 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from oxooxooooooxooxoox?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 3 + 1)*(2*n**5 + 0*n + 0*n) + (153*n**2 + 22*n**4 - 153*n**2)*(n + n - 3*n).\nAnswer: -28*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 3. Is 3 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317075 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/9 - (-10)\/(-3). Let k be (5\/b)\/(3\/(-60)). Let t = 16 + k. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 35 and -81.23118.\nAnswer: -46.23118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8536 - -8543. Let z(u) = -u + 27. What is z(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*g**2 - 21*g**2 + 311*g**2 + 414*g**2 as l + x*g + i*g**2 and give i.\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 2154 divide 816100991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 17 = -1. Suppose 7*y = 10*y - 3, 5*h = 5*y + 195. Solve 2*o + 4*m = g*o - h, -3*m - 40 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 867 + 48. Suppose -7*s + 52 = -y. Is ((-12682)\/s)\/((-4)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of 1\/2*s**4 + 3*s**2 - s**3 - 1\/20*s**5 + 10*s + 0. Give x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**3\/8 - 17653*o**2\/2 + 1271750485*o\/8 - 443227809387\/4 = 0. What is o?\nAnswer: 726, 34943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3256 divided by -2\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -40 + 670*j**2 - 4*j + 917*j**3 - 668*j**2 + 870*j**3. Let s be n(8). Round s to the nearest ten thousand.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -283.3 - 0.1.\nAnswer: -283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.547479ml?\nAnswer: 0.006547479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -0*z + 6630. Let p = 393 - z. Let n = p - 6839\/4. What is the common denominator of n and -83\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2480508209 rounded to the nearest one million?\nAnswer: 2481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -4, -77, -26, 8, 1, -9 in descending order.\nAnswer: 8, 1, -4, -8, -9, -26, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31 + -76. Let o = f - -83. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -361.1129 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10156991.\nAnswer: 13, 781307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 791974753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 7:50 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 380 = -3*n - 2*n, 0 = 3*v + 4*n - 584. Suppose -4*f - 21 = i - 0*i, -2*f + 3 = 5*i. Let o be (-4)\/v*f*5*5. Solve -o*j + j - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 87*c**4 - 18*c**2 - 34*c + 99. Let z(i) = 22*i**4 - 4*i**2 - 8*i + 25. Let q(r) = 2*l(r) - 9*z(r). What is the second derivative of q(n) wrt n?\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239116635 to the power of 1\/2, to the nearest integer?\nAnswer: 15463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 40717078, 81434156, 122151234?\n\"Answer: 40717078*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 240\/3*3\/6. Find the second derivative of -6*v**3 - v**3 + 40 - o - 4*v wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j = 1370 + 655. Suppose 5*t - 55 = 4*r, -2*r + 19 + 36 = 3*t. Calculate the greatest common factor of j and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2*(-3)\/15 + (-2569)\/(-35) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 56 + 49. Let m(l) = 331*l**3 - 7*l**2 - 3*l + 2. Let h(v) = -332*v**3 + 6*v**2 + 3*v - 2. Let w(u) = -7*h(u) - 6*m(u). Is w(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*v - 37*v + n = 11, -9 = -3*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -39*((-1)\/(-3) + 0). Let b = r + 27. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 16, 2, -3536, 1, 26, -4 in increasing order.\nAnswer: -3536, -4, 0, 1, 2, 16, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-350)\/(-6) - (-2)\/(-6). Let b(m) = 36*m - 71. Suppose -6*x + 45 = 9. Let k be b(x). What is the highest common factor of k and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*m = 1404 - 739 - 863 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q - 7. Let d be k(-9). Let j(i) = -67*i**2 - 2751*i - 154. Let f be j(-41). Solve -f = 4*s - 2*r, 2*r = -d*s - 2*r - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 3 + f**2 - f**4 - 11*f**3 + 0*f**4 + 8*f**3 - 46*f**3 to j*f + k*f**4 + m*f**2 + w + c*f**3 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c + 30. Let q be n(8). Suppose q*t = 9*t + 20. Suppose 0 = t*w + 178 - 2342. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2 - 24 = s, 0 = 4*s + 4*t + 104. Let d = s - -25. Let i = d + 16. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -13*k**4\/24 - 17*k**3\/6 - 10*k**2. Let t be s(-5). Suppose 0 = 7*d - 246 - t. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55.36813 hours to nanoseconds.\nAnswer: 199325268000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 193, -56, 1, 6, -4, 19.\nAnswer: -56, -4, 1, 3, 6, 19, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 4:56 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -16, -0.02, 4, -0.041, -2\/3, 2\/13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -712.4 + 713.4. Is y not equal to 5725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -14*d**2 - 3*d + 3. Let o be x(2). Let k = o + 131. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-187)\/220 + 9\/12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + -17)*(5 - 6) + -1. Suppose j*v = 21*v. Sort -24, v, 1 in increasing order.\nAnswer: -24, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3, -3\/16, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 4*n**3 - 6652044*n**2 - 26608224*n - 26608240 = 0.\nAnswer: -2, 1663015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 5*k = -10, -9*k - 18 = 4*o - 8*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -10. Let h = -5 - o. List the prime factors of 25 + h*(-3)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 49*j**2 - 195. Let x(l) = l**2 - 49. Determine a(x(f)).\nAnswer: 49*f**4 - 4802*f**2 + 117454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -3*p + 18. Suppose 2*r + 10 = 4*r. Let t be i(r). Let l be 13\/t + (-6)\/(-9). What is the greatest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16472764 + -1?\nAnswer: -16472765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5580 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -24. Let g = 3 - r. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 1016, 0, -2, -3, 22, 3 in increasing order.\nAnswer: -7, -3, -2, 0, 3, 22, 1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 0.411\nAnswer: 0.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*996.657\nAnswer: 99.6657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.83 - -0.13. Let g = 0.70000022 + j. What is g rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 4*h = t - 28, -26 = -2*t - 5*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*i**3 + 96*i**3 - 93*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1316446, -1316443, -1316438, -1316431, -1316422?\nAnswer: -1316411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 15 = 2*x, 4*x - 5*j = 5*x - 30. Put 2, x, -7 in ascending order.\nAnswer: -7, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 11 - 4*h**2 + (-3*h - h + 2*h)*(h + 3 - 3))*(53*h**3 - 46*h + 46*h).\nAnswer: -318*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/7  (b) -3  (c) -1123  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, o: 2, t: 2}. What is prob of sequence tot?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 344 is divided by 164?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 57*d - 3. Let t be o(5). Let r be t\/(-10) + (-2)\/(-10). Calculate the common denominator of -11\/8 and ((-5)\/32)\/(2\/r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3 + (((sqrt(70)*1 - sqrt(70)) + sqrt(70))*-4)\/(sqrt(10) - sqrt(120)\/(-1*sqrt(12))))**2*2 + 5.\nAnswer: -24*sqrt(7) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.053286 + 0.07092. What is r rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 122876 and 139417.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r - 1. Let t be p(2). Suppose -h + 0*w + 14 = -3*w, 4*h - t*w - 20 = 0. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 15584, 31202, 46818, 62432?\n\"Answer: -p**2 + 15621*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 3725\/1954 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + 0*z**3 - 3*z**3)*(0*z**2 - z**2 + 0*z**2) - 480*z - 845*z**5 + 480*z + (5 - z**3 - 5)*(-3*z**2 + 0*z**2 + 2*z**2).\nAnswer: -841*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 + 6*j + 3. Let c(i) = i**3 + i - 1. Let w(t) = 6*c(t) - q(t). What is the first derivative of w(k) wrt k?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 68  (b) 2\/11  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 18*d**2 - 14*d - 47. Let a be f(17). What is the highest common factor of a and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 + 7*n + 1. Let k be l(5). Let s = k - -8. Let m(p) = p**3 + 7*p**2 + 5*p - 2. Give m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7342 - -7371. Calculate the remainder when 413 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*j**2*w**3 - 9*j**2 + j*w**3 - 322*j wrt j?\nAnswer: -10*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-9))\/(87*6\/810 + (-1386)\/1155).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39137 - -39137.0018169. Round s to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -4*x + 10, 0*m = -2*x + 2*m + 6. Let v be 2\/x - (-4)\/2. Solve v*j = j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -1\/7, -1164.736 in decreasing order.\nAnswer: 0.1, -1\/7, -1164.736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 2018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c\/(c\/c**2))\/c**(-4))**(-30))**(1\/36))**(-3\/19) assuming c is positive.\nAnswer: c**(35\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 29*h**2 + 5*h - 139. Let b(o) = 25*o**2 + 4*o - 138. Determine 6*b(r) - 5*y(r).\nAnswer: 5*r**2 - r - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 8*y**2 - 45*y + 8. What is the units digit of n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -707269.176 to the nearest one thousand.\nAnswer: -707000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.4, -5986, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2444, -4885, -7326?\nAnswer: -9767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*f*q**4 + 4*f*q + 20*f - 22*q**4 - q**3 - 2*q wrt q.\nAnswer: -264*f*q**2 - 264*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*c*h*y**3 + 2*c*h*z - 3*c*y**3*z + h*y**3*z - 148*h*z + 2*z with respect to c.\nAnswer: 11*h*y**3 + 2*h*z - 3*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - ((-1 - -2) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11, 26, 51, 92, 155, 246, 371, 536?\n\"Answer: y**3 - y**2 + 11*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**3 - 38*w**2 + 6*w - 173. Determine q(-19).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uaq when three letters picked without replacement from {p: 2, u: 1, q: 2, a: 1, g: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.9 - -1.7. Let h = i - 1. Let j be -5 + (-7*6\/21 - 135\/(-21)). What is the nearest to -2\/7 in h, j, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7311588 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c**2 - 2*c**2 + c**2 + 6 + 20*c + 3*c**2. Let x be d(-5). Solve x*r = 21 + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 9*l**2 - 36*l - 30. Let o(r) = 2*r**2 - 9*r - 8. Suppose y - 11 + 26 = 0. Let a(w) = y*o(w) + 4*t(w). Suppose a(f) = 0. What is f?\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of f**2 - 4. Let w(h) = 7*h. Calculate w(d(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 618, 3132, 7316, 13164, 20670, 29828, 40632?\nAnswer: 53076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 7*o**2 + 19*o + 1. Let k be h(9). What is the biggest value in -4\/3, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-15)\/(-25))\/((-1179)\/(-18) - 1). What is the second smallest value in 2, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2092*j + 2819*j + 23264 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 2*i**4 - 14*i**3 - 6*i**2 + 110*i + 100 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*o + 39 - 39)*(63 + 236 + 92).\nAnswer: 5865*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + a - 18 = 0, -2*g + a - 12 = -3. Let w = 5 + g. Suppose 5*t = 2*z - 11, 4*t + 0*t = -w*z + 2. Solve -z*c - 1 - 11 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -11. Solve -2*f = -0*f - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4196280\/44880 - (-30)\/4.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -28 in 0.4, 0, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 39\/4 - 4\/(-16). Suppose d = 3*p + 13. Is p <= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**21)**(-1\/12)*(d\/(((d\/(d\/(d\/((d**(3\/7)\/d)\/d)))*d*d)\/d)\/d*d))**(15\/7))**(-21\/5) assuming d is positive.\nAnswer: d**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 8*i + 12 + 4*i - 13*i. Let u be r(-6). Suppose -4*k = -u - 10. Calculate the smallest common multiple of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2597.036 - 2615. Let q = 18 + f. Let o = 0.064 + q. Sort -1\/3, -1\/4, o.\nAnswer: -1\/3, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 0 - (-43 + 18)*(-282)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 18 = 4*h, 345*l - 344*l + 3*h - 24 = 0. Let j(s) = s + 12. Determine j(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -20*a - 356. Let f be t(-18). Solve -v - v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert -c92a (base 15) to base 12.\nAnswer: -20771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -a + 8, -2*t - 37 = -2*a - 45 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*m = -3329 + 3194 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.7  (b) -3  (c) 15  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3657*h**3 - h**2 - 25*h + 27. Let a be u(1). What is the greatest common divisor of 217 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -10*v + 10. Let a(k) be the second derivative of -k**3\/3 + 3*k**2 + 3*k. Let m be a(4). Let w(n) = -3*n + 3. Calculate m*y(b) + 7*w(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000636827028 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66 + 44 - 53)*(18*p**2 - 37*p**2 - 4*p**2 + 2*p).\nAnswer: 1725*p**2 - 150*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**2 - 6*b + 3. Suppose -204*z + 199*z - 15 = 0. Let s be w(z). Solve s*x + 2*x = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -689 and -689 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1499, 12130, 40983, 97172, 189811?\nAnswer: 328014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, d: 3, y: 10}. Give prob of picking 1 d, 1 y, and 1 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(72) - sqrt(72)) + 3 - (1*sqrt(72) + -1))**2.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -2*i + 55 - 33, -i = -1. Suppose -r*x + 6*x = 2. Solve -5*z = -5, 2 = x*u - 2*z + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s - 2*s + 0*s)*(0 - 3 + 2) + (-6 + 5 + 0)*(-4*s - 5*s - s) + 0*s - s + 0*s - 2*s + 2 - 2 + 18*s + 19*s + 15*s to w*s + f and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -29791 not equal to 0.044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -193556, -774205, -1741954, -3096803, -4838752, -6967801?\n\"Answer: -193550*k**2 + k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3806 and -96?\nAnswer: 95.6194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 70495 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 75 = -3*i + p, -2*p = -5*i + 186. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2631.000007565 + -2631. Round o to 7 dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49215 is divided by 3115?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 14*j - 126. Let z be t(9). Solve 6*s + z*s = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 - 19*f**2 - 23*f - 16. Let n be o(-18). Let i = 80 - n. What is the tens digit of (-78)\/13*(-86)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 14 = k. Suppose -z - f - 45 = k*z, 0 = 5*z - 2*f + 64. Let i = z - -17. Solve i*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 424*u = -1750 + 11502 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -112867, -225736, -338605?\n\"Answer: -112869*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axwz when four letters picked without replacement from wtaxxwzttxttawz?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y**3\/4 + 21*y**2\/4 + 30*y + 25 = 0. Calculate y.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/((f*f*f**1*f*f)\/f)))**42)**19 assuming f is positive.\nAnswer: f**3192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 equal to -384\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + -3)*(-6)\/(-12). Suppose i*l = 4*l. Solve 0 = -3*p - l*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(40\/(-6)))\/(-3)*-12*(-9)\/(-351)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a - 93*a = 28 - 574 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 435610 divided by -6223?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -13*h**2 + 2233*h + 8917. Calculate n(-4).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*i**3\/4 + 9057*i**2\/4 + 92081*i\/4 - 1833\/4 = 0. What is i?\nAnswer: -47, -13, 3\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 92080024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1231*h + 613*h + 611*h + h**2. Determine u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243\/1944*(-32)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.09 - -5.09. Let t = -12.36 + 10.86. Put l, t, -5 in increasing order.\nAnswer: -5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h + 4*h - h - 2*h + 5*h - 2*h + (2*h - 2*h + h)*(0 + 2 - 1) - 5*h - 2*h - 2*h + (1 + 2 - 1)*(-3*h - 4*h + 6*h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -144638355.\nAnswer: 14463835.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 6:17 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -104?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (40\/(-14))\/(-6 - 40\/(-7)) and 2 + 26\/2*2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/7 - 334*f**2\/7.\nAnswer: 2*f**2*(f - 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/5 - (40 + 5678\/(-170)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2202195649.\nAnswer: 29, 41, 439, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(6*(1*sqrt(700)*-3 + sqrt(700)))**2 + (sqrt(84)\/(-2*sqrt(3) + sqrt(3)))\/sqrt(4)*1*-2.\nAnswer: 2*sqrt(7) + 201600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97216 is divided by 497.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1430 a factor of 15852980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 278096 and 49504.\nAnswer: 9455264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/11  (b) 0.4  (c) 3  (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - -2) + 4 - (-592 - -676).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101034 (base 5) to base 13\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 69\/266 + 1\/38. Factor p*u**2 - 8\/7*u + 8\/7.\nAnswer: 2*(u - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -7*d**3 + d**2 + d. Let k be q(-1). Suppose 2*s - k*s = 0. Solve s = 4*b + 5*p - 29, 3*b + 2*b - p = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((21 - 21) + 21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-214)\/(-4)*(-13)\/(117\/(-18)). Is r greater than 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2*b - b**2 + 2 - b**2.\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -20  (b) 5  (c) 78  (d) -4  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-3 + 2 + 0 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -6*r**2 - 81*r - 51. Calculate d(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*o - 2*o. Let s be ((-2)\/o)\/((-2)\/(-24)). Suppose -1 - s = -k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*l - 60, -4*o - 6*l = -8*l + 114. Let g = 257 - 376. Let f = o - g. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125 divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 3*j**2 - 1095. Let a(t) = -160*t. Determine f(a(w)).\nAnswer: -960*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*q - 1686 - 46*q - 47*q - 43*q + 1686 - 53*q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**15\/s))\/s**(2\/43) assuming s is positive.\nAnswer: s**(-561\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 8 = 2*v, 4*u - 46 = -5*v. Calculate the remainder when 9 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 5:05 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*-1 + (-2 - -2). Let i be ((-200)\/(-6))\/(k\/9). Let v be i\/(-2*(-3)\/(-66)). Round v to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of 3 + 0*j**2 - 3*j - 5\/3*j**3. Find the first derivative of y(m) wrt m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 9) to base 12.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 20 = -5*c, -15 = -4*c + c + 4*z. Is (-1)\/((-1)\/50) + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3296063 and 8?\nAnswer: 26368504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3*(-129)\/9*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*l - 285 = 335. What is the hundreds digit of (1761 + -7)*10\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1003168 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - -2)*(-5)\/10. Suppose y = j - 2*k - 21, j + 2*k - 9 = 4. Calculate the remainder when 66 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -6. Suppose 7*s - 3*s = -4*m, -20 = -i*s + m. Solve -4*t = -t - b + 5, -2*t - s*b = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24510 (base 6) in base 3?\nAnswer: 11222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2097 and 4158.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 820 - 282. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 34 = 2*i, 5*u + 73 + 4 = 3*i. Let l = 13 - 2. Calculate the remainder when i is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5185 + -5185. Let v(s) be the second derivative of -s + 5\/6*s**3 + f*s**2 + 0. Let b(u) = 2*u. Determine b(v(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**2 + 3*j**2 - 5*j**2)*(-j**3 + 6*j**3 - 3*j**3) - 7*j**5 - 2*j + 6*j**5 + 5*j + 3*j**2.\nAnswer: -5*j**5 + 3*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35 + 102*m + 112*m - 213*m to u + o*m and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-6)*u)\/(u*u*u**(2\/3)))**(-29) assuming u is positive.\nAnswer: u**(667\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**7\/70 + a**6\/40 - 23*a**5\/20 + 39*a**4\/8 - 9*a**3 + 66*a**2 - 143. Let q(t) be the second derivative of l(t). Factor q(b).\nAnswer: 3*(b - 3)*(b - 1)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*9\/(-12) + 4. Solve 2*i = r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 37757 - -154?\nAnswer: 40133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 - 40 = -4*w. Calculate the greatest common factor of 60 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -336534 or 0.04?\nAnswer: -336534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -645413, -645412, -645409, -645404?\nAnswer: -645397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {j: 1, v: 2, z: 1, k: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1505, 9687, -3 in ascending order.\nAnswer: -3, 1505, 9687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-294)\/(-252) - ((-1)\/(-9) + 5889\/54)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.062 + -1.062. Which is the fourth smallest value?  (a) w  (b) 3  (c) -0.5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3721 - 14803\/4. Calculate the common denominator of 27\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -1\/5, 38\/415, -1, 3?\nAnswer: 38\/415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -439844 to the nearest one thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7*(-2 + 3)\/(-1). Let v be p\/28 - 2\/8. Let x(n) = n - n**3 + 3 - 4 - 3. What is x(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(224)*-2*-2)\/(2*sqrt(16)\/sqrt(2) - sqrt(8)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81342728.\nAnswer: 2, 839, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 963274 <= 963273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 5*i**2 - 2*i - 2. Let p(b) = -5*b**2 + 2*b + 3. Let w(k) = 3*a(k) + 2*p(k). Calculate the remainder when w(-3) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 981696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.134 - 0.266. Let o be (2\/3)\/(6\/27). Let w = o - 6. Put w, m, -1\/6 in decreasing order.\nAnswer: -1\/6, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-173)\/(-5) - (526 + -487)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 98*g**3 - 3*g**2 - 3. Let d(x) = 7742*x**3 - 238*x**2 - 238. Calculate 6*d(h) - 476*q(h).\nAnswer: -196*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5284818798 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: Round -0.0006583 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 87*p + 307 wrt p?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 12:45 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 6*s**3 - 64684*s**2 - 86264*s + 86256 = 0.\nAnswer: -2, 2\/3, 10782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3*3.283\nAnswer: 9.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000018178 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117 + (9 - -64) - 22.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 divided by -221576.\nAnswer: -9\/110788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 248 divided by -1161?\nAnswer: -248\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/(-20) - ((-609)\/(-116) + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-18)\/40)\/(48\/(-20)). Let l = p + 7\/48. Which is the nearest to -1?  (a) l  (b) 0.5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 114250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6274292?\nAnswer: 2, 17, 92269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 27*q + 75. Determine w(-21).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(19) + (sqrt(19) + 3)**2) - (sqrt(19) + (sqrt(38) + sqrt(38)*-2)\/sqrt(2))**2.\nAnswer: -7*sqrt(19) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + 1. Let y(t) = t**3 - 7*t**2 + 1. Let w be y(r). Let o = 13 + w. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 + -9 + 43 - 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1809.1*-0.77.\nAnswer: 1393.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2491553?\nAnswer: 2491553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 + -0.5. Let z be 1 + -6 + 0 - (-22356)\/(-27). Let i be 1\/((-7)\/z*7). Which is the third biggest value?  (a) -1\/2  (b) i  (c) q  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 4*q**7\/525 - q**6\/100 - q**5\/150 - 10*q**2. Factor x(a).\nAnswer: 2*a**2*(a - 1)*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 9, 3, 123, 2, -2, -148 in decreasing order.\nAnswer: 123, 9, 5, 3, 2, -2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(252)*-1 + sqrt(252))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/5 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11696 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -56 + 59. Let o(y) be the third derivative of 0*y + 1\/90*y**5 + 1\/18*y**4 + 0 + 1\/9*y**v - 2*y**2. What is p in o(p) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 809 - 815. Let y(z) = z**2 + 12*z + 1. Let t(n) = n + 1. Let l(s) = 6*t(s) - y(s). Let r be l(c). Is 11\/3 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -9) + -3 - (4 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.97 + -0.03. Let k = -3 + 2.5. Let l = k - -1. Sort 0.2, w, l in ascending order.\nAnswer: w, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bkkk when four letters picked without replacement from {b: 2, k: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12327.\nAnswer: 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 - 25. Suppose 0 = 3*k, -2*k + 21 + 21 = y*o. Suppose -64 = 10*u - o*u. Solve 0 = -z - 3*z - u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-1 - (4 + -3)) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39*(-59)\/11505)\/(2\/(-10))*(-78)\/(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.13 - -0.23. Suppose 4*x - 11 = -3*f + 3*x, -9 = -5*f + 3*x. Suppose -9 = -2*r - f. What is the third smallest value in y, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 118 in -5\/3, 1\/4, 0.3, -1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -43903326 divided by 6\nAnswer: -7317221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 3 + 0 - 5 + 4*q. What is c(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 120\/13 or 9?\nAnswer: 120\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**5\/9 + 10*b**4\/9 + 14*b**3\/9 - 2*b**2\/9 - 16*b\/9 - 8\/9 = 0 for b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -4*l**4\/7 + 1538*l**3\/7 - 5342*l**2\/7 + 3040*l\/7 + 3048\/7 = 0.\nAnswer: -1\/2, 2, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 2*t - 66, -290 = -3*t + 2*j - 229 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5*m + 21 = 0, -3*m = -3*j - 5*m + 24. Suppose -8*i + 32 = -j*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 17130 from -67454.\nAnswer: -84584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -3*c - w + 1235, 0 = -2*w - 2. Let o = -281 + c. Suppose -5*p - 90 = -5*l, -5*l + 4*p - 39 = -o. Solve 2 = 5*i - 3*d - 3, -l = 2*i + 3*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3638c2 (base 14) to base 9\nAnswer: 3435111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 602241*z + 6624649. Calculate w(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1131 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 y be (0 - -5) + 0\/3. Let p be -3 + 1 + (y - 3). Let w = -125\/2 - -1373\/22. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-14) + 391\/161. Let i be ((4 - k) + -1)\/(-4). Put i, 29, -5, 2 in increasing order.\nAnswer: -5, i, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**2\/9 - 62*t\/9 + 116\/9 = 0.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u**3\/3 - 2606*u**2 + 5148065*u\/3 + 1718628 = 0. Calculate u.\nAnswer: -1, 727, 7092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(2\/25)*a*a*a)\/a**(5\/6)*(a**(-1\/3))**(-2\/7) assuming a is positive.\nAnswer: a**(4559\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/9)\/(135\/81)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w. Let z(l) be the second derivative of 145*l**4\/12 + 3*l + 12. Determine z(u(x)).\nAnswer: 145*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 348*i - 223. Let f = 491 + -469. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + j**4 + (-2*j + 3*j - 2*j)*(2*j + 2*j**3 - 2*j) + 0*j**4 + 0*j**4 - 2*j**4 + (-j + 1 - 1)*(j**3 + 0*j**3 + j**3).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -105 divided by 21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-8) + 32775\/(-6900)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6652184*d**3*h**2 + 1599*d**3*h - 68192*d**3 + 3*d**2*h**2 + 2*h**2 - h wrt h?\nAnswer: -13304368*d**3 + 6*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.014382 from -223.85.\nAnswer: -223.835618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of -4\/7*z**4 + 0*z**6 + 1 - 48\/7*z**3 - 9*z**2 - 1\/1176*z**8 + 0*z - 3\/245*z**7 + 52\/105*z**5. Let i(u) = 0. Calculate u.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011 - -1101011010111100?\nAnswer: 1101011010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4457 to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/5 + 0 + 2. Let d be 5*(l - 6 - 5). Let s be 3\/(-3 + d\/(-12)). Solve 0 = -s*m - 5*c + 4, -c - 4*c - 5 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 8*r**2 - r - 3. What is the tens digit of d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 AM and 10:18 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -74145004*d**2*o**3*x + 3*d**2*o**2*x + 22*d**2*o + 69*d - 148*x wrt o.\nAnswer: -444870024*d**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1753163223 to the power of 1\/3, to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 123961 or 123959?\nAnswer: 123959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1.6, 4, -0.62, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {n: 8, y: 8, c: 1, u: 1, o: 2}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 12:59 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 90928 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 57 + -26. Let y(d) = -103*d + 32. Let n(f) = -154*f + 48. Let s(h) = -5*n(h) + 8*y(h). Let j be s(-2). What is the greatest common factor of a and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73 is divided by 73.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1062076 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.01  (b) -6  (c) 3  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3634 and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 41*g + 17. Is m(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65*o**2 + 74*o**2 + 133*o**3 - 219*o**3)*(-4*o**2 - 5*o + 3*o + 3*o**2).\nAnswer: 86*o**5 + 163*o**4 - 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 97 - -498?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**4 - 429*i**3 + 66601*i**2 - 2192631*i + 20841660 = 0. What is i?\nAnswer: -556, 21, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -115354.74 rounded to the nearest one thousand?\nAnswer: -115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25083*a - 25083*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(95) + (sqrt(95) + 2*sqrt(95) - sqrt(95)) - sqrt(95)))\/(-2*sqrt(20)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 541 - 234. Suppose 3*u - 236 = 5*y, u = 5*u + y - w. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*a - 79 + 57 = -4*n + 130, 2*a + 2*n + 34 = -8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-188)\/1504)\/(3\/(-48))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 2)*2\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 + 23. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 162 - 3?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -8*j + 9*j. Let a(x) = x + 6. Let t be a(-3). Suppose s = t*s - j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, e: 1, t: 1, y: 3}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004456225 rounded to 5 decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15020343.\nAnswer: 3, 13, 42793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 11*n - 477. Give c(44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1*(-3 + ((1 + sqrt(540)\/sqrt(5) + 2)*-2)**2).\nAnswer: -468 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -36, -1, -2 in decreasing order.\nAnswer: 0, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5224 + 5236. Solve 2*r + 5*f - 4 = 0, -15*r + f = -i*r + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -43\/14, 2\/3, 5, 7\/185?\nAnswer: 7\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -230033222011 (base 4) in base 16?\nAnswer: -b0fa85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40242.53 litres to millilitres.\nAnswer: 40242530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -4*b + 5. Suppose 3*v = 4*v - 3. Suppose 3*f = v*l - 9, -f + 1 = -3*l - 2. Let r(k) = 2*k - 2. Determine f*h(p) - 15*r(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 7*y**3 - 20*y**2 + y - 8. Let p(w) = 8*w**3 - 21*w**2 + w - 9. Let l(z) = 7*f(z) - 6*p(z). Let n be l(14). List the prime factors of 16\/n + 591\/9.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54528097, 109056197, 163584297, 218112397, 272640497?\nAnswer: 327168597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -9754 equal to -9754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -7*h**2 - 2*h - 2. Let p(q) = 3*q + 56*q - 11*q + 5*q - 287 + 4*q. Let a be p(5). Let f(s) = -15*s**2 - 5*s - 5. Determine a*f(x) + 5*c(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(18)\/(-5*(sqrt(216) + sqrt(6))))**2 - (5*(2 + sqrt(12))**2 + -3).\nAnswer: -94328\/1225 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2289 + -3460. Let f = 1170.9998842 + b. What is f rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -8, -5, -4, -1, -20 in decreasing order.\nAnswer: 1, -1, -4, -5, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2229, -17790, -60027, -142278, -277881?\nAnswer: -480174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 13*j**4\/12 + j**3 - 14*j**2. Let i be t(-6). Let c be ((-5)\/6)\/(25\/i). Solve -2*a - c = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8 = -0*s. Let d = s + 1. Let v(a) = 6*a**2 - 7*a**2 - d + 3. Let l(r) = -3*r**2. Determine l(v(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1525 + 1594 + (-28 - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (-26 + (18 - -3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 130, 318, 592, 958?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2 = -5*m. Suppose 0 = -2*k - 7*t + 4*t + 35, -5*k + 49 = 2*t. What is the greatest common divisor of m and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 5*a - 6. Let p be m(6). Solve 4*b + 5*y + 30 = p, b - 5*y = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2064690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2716, -3059, -3630, -4429, -5456, -6711?\nAnswer: -8194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -7*t + 1. Suppose 2*s - 6 = -2. Suppose -s*l - 4 + 2 = 0. What are the prime factors of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -n**5\/60 + n**4\/2 - n**3 - 4*n**2 - 4*n. What is p(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 394336527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4266440?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(0 + (-5*(sqrt(1872)*1 + sqrt(1872)))**2) - (((sqrt(1872) - (-2 + sqrt(1872))) + 2)**2 + (sqrt(1872)*2 + 0)**2).\nAnswer: 1115696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34*l**3*n**2*t + 1356782*l**3*n**2 - 12*l**2*n - 9*l*n**2*t - 27373*n wrt l?\nAnswer: 204*n**2*t + 8140692*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1021 + -1018. Let r = 0.24 - -10.76. What is the biggest value in m, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 60 = -3*q - 4*o, -q - 20 = o. Let i be 12\/(-5)*20\/(-3). What are the prime factors of ((-40)\/i)\/(2\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqdq when four letters picked without replacement from {d: 7, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 55 + -60. Sort y, -2, 4 in descending order.\nAnswer: 4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31746, -126727, -285026, -506643, -791578, -1139831?\nAnswer: -1551402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 621.22 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -418 + 0?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -6  (b) 0.3  (c) -0.02  (d) -2.2  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) + -5 + sqrt(1300)*1)*6*2 + -2)**2.\nAnswer: -29760*sqrt(13) + 752644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-2)*(-3 - (5 + (-20)\/5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and 2728327190802?\nAnswer: 2728327190799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -639498, 2 in descending order.\nAnswer: 2, 1, 0, -639498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65508.\nAnswer: 2, 3, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 572910697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 20, 1\/6, -2 in decreasing order.\nAnswer: 20, 1\/6, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 108\/7*b**2 + 2\/7*b**4 + 40\/7*b**3 + 34\/7 + 104\/7*b.\nAnswer: 2*(b + 1)**3*(b + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (45\/(-10))\/(-9)*6827556\/186. Let p = j - 18352. What is the common denominator of p and (-3)\/(-6)*4\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-93)\/1*24\/10. Suppose 5*l + 1115 = -4*i + 3*i, 5*l - 4*i + 1140 = 0. Let p = l - f. Which is the third smallest value?  (a) p  (b) 0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19 and 6917286.\nAnswer: 131428434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14544*w + 14548*w = 76 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*q - 3*z + 41, -66 = -5*q - 4*z. Let v = -11 + q. Suppose s + 0 = -2*g + 1, -v*s + 11 = -2*g. Solve 5*c + a + 3*a = -11, -c - s*a = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/23, -0.3, 5\/48, -0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence szv when three letters picked without replacement from {p: 3, v: 1, z: 6, t: 4, o: 1, s: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -11*r**2 - 12*r + 6. Let b(f) = 4*f**2 + 4*f - 2. Let t(m) = -17*b(m) - 6*c(m). Factor t(k).\nAnswer: -2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 3*g**2 - 4*g + 1. Let l be m(3). Let x = -12 + l. What is the highest common divisor of x and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 76*b = -80*b - 610, 2*b + 998 = 5*o. Calculate the lowest common multiple of 18 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 158 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 + 2 + 8 - x**3)*(x**2 + 3*x**2 - 15*x**2).\nAnswer: 11*x**5 - 341*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 117329609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 82384745, 164769487, 247154229?\nAnswer: 329538971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -235, -772, -1307, -1840, -2371, -2900?\n\"Answer: y**2 - 540*y + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5619.4*-0.1813\nAnswer: 1018.79722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g. Let m(q) = -q - 106. Determine m(x(v)).\nAnswer: v - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -5. Let r = q + 10. Suppose -4*x - r = -28. Are x and 5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 817934?\nAnswer: 2, 13, 163, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 2\/13  (b) -0.1  (c) 23  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {c: 7, n: 3, s: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -2271.771882 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 13*-1 + 1989\/117. Suppose -2*j + 5*v - 15 = 4*v, -4*j - v - 39 = 0. Sort 3, j, n in descending order.\nAnswer: n, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-1 + -3*sqrt(272) - (1 + -1 + sqrt(272))) + 2*((sqrt(272) + 5 + (sqrt(272)*1 - sqrt(272)) - sqrt(272)) + -1*(-1 + sqrt(272))))**2.\nAnswer: -528*sqrt(17) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1111 in 6, 9, -28?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = f + 26, -f + 1 + 8 = 2*s. Let g be (-4)\/s + (-340)\/(-50). Let a(c) = -3*c - 113. Let w be a(-39). Solve g = b - w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. Suppose -8 = -2*s, -6*g - 2 = -i*g - 2*s. Let n(j) = j - j**2 - 2 - 2*j**2 + 2 + 1 + j**3. What is n(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4.8, 8, -4, 18 in decreasing order.\nAnswer: 18, 8, -4, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25916 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/(-8) - 1)*1462. Let t = -341 + o. What are the prime factors of t?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of 3*w**5\/10 + 626. Factor d(s).\nAnswer: 3*s**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/8 - (96\/8)\/(-72). Factor n + 4\/3*z - 2*z**2.\nAnswer: -2*(z - 1)*(3*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-3\/2))\/u**6)**(-49) assuming u is positive.\nAnswer: u**(637\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-28))**36)**(2\/29) assuming y is positive.\nAnswer: y**(-1944\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (80\/(-8) - -9) + (-662)\/(-500) and 7\/225.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -20*p - 5 + 4*p**2 - 9*p**2 + 59 + 4*p**2. Let f be l(-21). Let i be -1 + 2 + 2 + 0. What is the highest common factor of f and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13109 - -13523. Calculate the greatest common divisor of 288 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.231591l to millilitres.\nAnswer: 8231.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.3 + 2.3. Let l be (-865)\/(-3285) - (-4)\/(-18). Let k = -131\/365 - l. What is the closest to -4 in k, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((2280\/(-48))\/19).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/63)\/j*j*j**(-11\/2))\/(j**(7\/2)\/(j*j**(3\/7)*j)))**(-8\/3) assuming j is positive.\nAnswer: j**(3328\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53 - 49 - 13 + (3 - 2 - 2)*(-6 - 1 + 0))*(g**2 + g**2 - g**2)*(-g + 0*g - 3*g).\nAnswer: 432*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 137952276 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1555 to three dps.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-2 + -16)*3. Suppose 0 = -2*b + 5*b + 3. What is the second biggest value in r, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**2\/3 - 80*r - 4800 = 0. What is r?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/4, 15, 0.6, -8.7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 9.62104 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 3345090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u**2 - 84*u - 401. Determine m(-39).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.30175 rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qiiq when four letters picked without replacement from zziyizzzzziyyzzjdq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -200179*l**2\/2 - 142999*l\/2 - 5.\nAnswer: -(7*l + 5)*(28597*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/18 and -79\/14002.\nAnswer: 126018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 - 8. Is b not equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/6, -149, 0, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 384, 436, 488?\n\"Answer: 52*r + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o**2 - 14*o + 24. Let u be b(-7). Let a be 0 + u\/(-4) + 4 + 6. Calculate the greatest common divisor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + l + 48486, -m + 5*l + 9690 = 3*l. Suppose -7*c = -m + 591. Is c a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71 + 377 + -163 + -204.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -8*g - 110. Let y be o(-14). Suppose -4*x + 78 = 2*m, -5*m = y*x - 19 - 0. What is the least common multiple of 86 and x?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 4*q**2 + 5*q - 5. Calculate m(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2516 divided by -7?\nAnswer: 2516\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -610312?\nAnswer: -610311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z + 1. Let u(b) = 2*b - 2. Suppose -5*c - 4*a + 488 = 0, -3*a - 107 + 17 = -c. Suppose 94*x + 6 = c*x. What is x*n(f) + u(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17*z**5 + z + 90 wrt z.\nAnswer: 340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r*t**3*u**2 - 1204*r*t**3*u + 168*r*u + 3*t**2 + 2*u**2 wrt t?\nAnswer: -6*r*u**2 - 7224*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 6*a**3 - 2*a + 8. Let j = 6 + -7. Let p(f) = f**2 + f - 1. Let d(v) = j*q(v) - 5*p(v). Let r(s) = -7*s**3 - 6*s**2 - 4*s - 4. Give -6*d(i) + 5*r(i).\nAnswer: i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 72132638619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of (5098\/10)\/(118\/590)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 3001312310?\nAnswer: 3001312313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 a, and 1 h when three letters picked without replacement from hitae.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 62*f - 483. Determine l(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.4 and 7.23.\nAnswer: -39.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 93039, -7 in increasing order.\nAnswer: -7, 5, 93039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.0952 + -0.0952. What is the nearest to t in -0.09, 1\/4, 0, -1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 7) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5151128 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2081096286 to 3 dps.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7577 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 2000 and 57960\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4499 times -1.9\nAnswer: 8548.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 divided by -202?\nAnswer: 49\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n**(7\/4)*n)*n*(((n**(-9\/8)*n*n)\/n)\/n*n*n*n)\/n)\/((n\/(n*n**(-4)))\/(n\/n**(4\/5))) assuming n is positive.\nAnswer: n**(-107\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -1. Let v(i) = i**3 + i. Determine -v(s) + w(s).\nAnswer: -s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 3 a when four letters picked without replacement from aazaaaaa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 7*q**2 - 29*q - 97. Calculate i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-20) - ((-2961)\/5)\/3. Let q = -102 + i. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 + 56. What is the greatest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1)*4)\/(sqrt(10) + sqrt(120)\/sqrt(588)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of n**4\/4 - 2*n**3\/3 + n**2 + n - 4. Is g(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -71 - -75. Let r = 16 - 16. Solve -b*a + 2*a + 2 = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, c: 2, q: 2, f: 3, m: 1, t: 3}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 2*t**2 - 1\/60*t**5 + 0*t + 1\/6*t**3 + 0 + 0*t**4. Suppose u + 3*f + f = 15, -5*u = 3*f - 24. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + 56006\/6 + (-17 - 1176\/(-63)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -33*g - 11. Let k(i) = -11*i - 4. Let t(o) = -o**3 - o**2 - 5*o - 6. Let h be t(-4). Suppose h = 17*p - 125. Calculate p*k(n) - 4*m(n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-994965.49.\nAnswer: 3979861.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1374)\/(-8)*19\/((-98325)\/40). Let g = q + -2\/345. Which is the nearest to g?  (a) 3  (b) 5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336 = 10313*o - 10265*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -80*t**2 - 2063*t + 434. Give k(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/14 and -17\/36106.\nAnswer: 36106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62266\/2631 - 1\/2631. Calculate the common denominator of 14\/63 - 53\/(-9) and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25419, -25485, -25555, -25629, -25707?\nAnswer: -25789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (27\/6 + -5)\/(2\/(-36)). Let n(w) = 4*w**2 + 2*w. Let z(u) = 17*u**2 + 9*u. Let k(p) = d*n(p) - 2*z(p). Let q(s) = -20*s**2. What is q(k(l))?\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2924 - -2927. Let d be ((-20)\/(-21))\/(1\/3). Is d != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -588 + 587.96. What is the third biggest value in c, 0.28, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1327, 2\/7, 0.4, -0.10448, -0.2, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j. Let n(f) = f - 8. Let v be n(11). Suppose 208 = 5*i + v*p, -5*i - 5*p + 172 = -28. Let w(z) = -85 + 41 + i + 19*z. Calculate w(u(k)).\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 + 13*n**3 + 1 + (-3*n**2 - n**2 + 3*n**2)*(-5*n + 0*n + 4*n).\nAnswer: 14*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**2 - 2*r**3 - r**2 + 14*r**3 - 10*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 + 1709032361.\nAnswer: 1709032352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-61510)\/3)\/((-32)\/(-24) - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 6654901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33464625 and 7277.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-8)\/(-4))\/2 - (-2 - 1) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10460540?\nAnswer: 2, 5, 563, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 7*g + 2*g = 7, -2*g = -4*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1198 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26529 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -29, 5, 0.3, 1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6657, 6561, 6479, 6417, 6381, 6377, 6411, 6489?\n\"Answer: l**3 + l**2 - 106*l + 6761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3459, -13943, -31447, -55971?\nAnswer: -87515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28164 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*f**2 + 11 + 53*f**2 - 94*f**2.\nAnswer: -220*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/4 + 72*x - 560.\nAnswer: -(x - 280)*(x - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -7*y**2. Let x(w) be the first derivative of 0*w**2 - 1 + 0*w - 1\/3*w**3. Give j(x(g)).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2100 + 2100. Put -1\/7, -5\/8, v, 3, 0.5 in ascending order.\nAnswer: -5\/8, -1\/7, v, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179075?\nAnswer: 5, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 + -3. Let a be (45\/40)\/((-2 - 5)\/(-56)). Suppose 2*y = -3*o + 194, 2*y + a = -2*o + 135. What is the remainder when o is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 1:29 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -901099*n**2 - 6709*n + 11 wrt n?\nAnswer: -1802198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 - 16. Suppose 2*x - 2*p = 652 + 600, -1264 = -2*x - w*p. Suppose -q = 4*m - x, -5*m + 3*q - 4*q + 786 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and (1*-18)\/((-6)\/(-4) + -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and (10 - 4 - -2)*(0 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 2, -10, 7, -4, 6.\nAnswer: -10, -4, 2, 6, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*r = 6*r + 38*r - 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -482705*g**4 + 71*g**2 - 1122*g wrt g.\nAnswer: -11584920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1272744 and 16192.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 3, -393 in decreasing order.\nAnswer: 3, -12, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 1:24 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 18 = -3*l, h + 4*l + 5 = 6. Let q(y) = h*y + 0 - 3 + 3. Let s(p) be the first derivative of -p**2 + 3. What is s(q(g))?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.2 + -0.8. What is the nearest to 2 in q, -1, -0.13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2195.28 years?\nAnswer: 2.19528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 59.865058 to 1 dp.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-2 - (-22)\/8). Suppose q + y*k - 24 = -0*q, k = 5*q - 15. What is the units digit of q\/10 - 13\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 198506 divided by -14.\nAnswer: -14179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -2*f + 25. Let o = 81 - f. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwmmh. Give prob of picking 1 h, 1 m, and 2 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*4252\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121 (base 4) in base 14?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**4\/7 + 53322*y**3 + 29468097*y**2\/7 - 30587874*y\/7 - 59682720\/7 = 0.\nAnswer: -124339, -80, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/(64\/8) - -4796?\nAnswer: 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/421, 1\/7, -0.5, 0.01518 in descending order.\nAnswer: 1\/7, 0.01518, 2\/421, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 207008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 105*x - 1030 - 1205 - 1125 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 2*g + 61 = c - 11, -162*g = 4*c - 165*g - 87 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4327412329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*y + 8, -4 + 0 = -y + k. Let l(d) = d**3 - d**2. Let f be l(1). Solve -i = -f*i + y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -8*h**3 - 21*h**2 - 5*h - 5. Let n(f) = 40*f**3 + 104*f**2 + 24*f + 24. Let v(d) = -24*b(d) - 5*n(d). What is the third derivative of v(a) wrt a?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 - -24.088. Let f = 0.088 - i. Let l be ((3\/5)\/(-1))\/1. What is the closest to f in -2, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60\/3451 - 237281\/445179. Calculate the common denominator of ((-224)\/12 - -1) + (15 - 13) and h.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + f + 2*f + 12 = 0, -10 = 5*c + f. What is the second biggest value in -2, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*r + 55 + 35 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 52*d**3\/11 + 21946*d**2\/11 - 3932*d - 1696\/11 = 0?\nAnswer: -424, -1\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7754\/6 + (-140)\/15 + 8. Suppose z = 26*o + 121. What is the highest common factor of 117 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 5:31 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 35  (c) 1548976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3 + 16\/12 + 0)\/((-43641)\/351).\nAnswer: -2\/373","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 615 divided by 231?\nAnswer: 205\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1349\/15 + 271\/3. Let n = 0 - -2. Which is the nearest to n?  (a) 0  (b) -6\/7  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0)**(-8))**13*(g\/(g**(2\/3)*g))\/g**5*(g*g\/(((g**7\/g*g)\/g)\/g))\/g**(-2\/9) assuming g is positive.\nAnswer: g**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -r**4\/42 + 10*r**3\/3 - 175*r**2 + 114*r. Determine z so that j(z) = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116747328 divided by 96?\nAnswer: 1216118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 82 - 58. What is the remainder when (2\/3)\/(17\/561) is divided by (-16)\/o*(-42)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1869971.\nAnswer: 1869971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 120 - 13. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 60, 43, 12, -33, -92, -165?\n\"Answer: -7*o**2 + 4*o + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.89 - 0.11. Let n(s) = -s**3 - 16*s**2 - s - 11. Let z be n(-16). Sort 1\/9, 0.3, z, b in increasing order.\nAnswer: b, 1\/9, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17*185\/(-3774)*90?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 9*g - 7128 = 0. Suppose 26*b = 20*b + g. Calculate the greatest common divisor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 214897, 430137, 645365, 860575, 1075761, 1290917, 1506037, 1721115?\nAnswer: 1936145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b46ce61 + 1?\nAnswer: -1b46ce60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 9*t - 7*t + 3*f, -5*t + 24 = -4*f. Let w(a) = -a**3 - 2*a**2 + 2*a + 1. Let o be w(-3). What is the highest common factor of t and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0606165434 to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7276\/9 + -803. Calculate the common denominator of 61\/10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-91 - -43) + 44 + 25\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 20628 - 23973 = g, -21 = -3*g. What are the prime factors of z?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -3*h - 12, 0 = 4*h - 2*n + n - 4. Suppose 2*v = 5*j + 535 + 1111, -316 = j + 4*v. Let m = 337 + j. Sort 2, h, m in increasing order.\nAnswer: h, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 41*v**2 + 5*v + 5. Suppose 0 = -4*s + 11 + 13. Suppose 3*a - s*a = 12. Is k(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 3*t + 1213, -727*b - 5*t = -725*b - 2425. Calculate the remainder when b is divided by 599.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of r**5\/20 + r**4\/12 - r**3\/2 - r**2\/2 + r. Let h(c) = c + 1. Let g be h(-3). Determine q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or 11\/112702?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 0 + 1084\/(-1083). Let w = -102877\/8664 + i. Find the common denominator of w and -17\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -34*d - 6. Let l be v(-6). Suppose -76 = 2*u + 4*z + l, 4*u = 4*z - 536. Is 13 a factor of u\/(-7) + (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0286599181 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i**2 + 1 - 436*i + 2*i**2 - 12*i**2 - 9*i**2 + 483*i to w + t*i**2 + q*i and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**3)**(2\/87))**49 assuming t is positive.\nAnswer: t**(98\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 100011000101001111110010?\nAnswer: 100011000101001111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4968, 4944, 4916, 4884, 4848?\nAnswer: 4808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 44*z - 135 = -2*z, -z + 4*z - 10 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 2:42 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 526035987 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**3 + 11*r**2 + 7*r - 6. Let b be g(6). Solve 3*t - t + 2 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -762*q**3 - 2*q + 32*q**3 + 4*q.\nAnswer: -730*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - k + 2*k - 3 = 0, 7 = 4*m - k. Let a(d) = -d**3 + 7*d**2 - 7*d + 18. What is the smallest common multiple of a(6) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 6*(-4 + -1 + sqrt(2352))*-3)**2.\nAnswer: -92736*sqrt(3) + 770512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 3*z**2 + 5*z - 1. What is u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -3. What is the remainder when (-92)\/(-3 - (h - 1)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -y + 4. Suppose b + 10 = 3*n + 26, 0 = -3*n - y. What is the remainder when 48 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12501, 25005, 37545, 50133, 62781, 75501?\nAnswer: 88305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94 + 94 + 7*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17832 - -37563. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p*p\/(p*p*p\/(p\/(p**(2\/7)*p*p))*p*p))\/p))\/(p*p**3*p*p)*p\/p**(-8)*p**(-2\/15) assuming p is positive.\nAnswer: p**(961\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 22765980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 2*w - 15 = 0. Let c(i) = 7*i + 3. Let k(p) = 8*p + 4. Let b(t) = -5*c(t) + 4*k(t). What is the smallest common multiple of b(w) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 10 and -3.03947 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.03742 + -52.97342. Let z = f + 54. What is z rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o + 4. Suppose 4*k - 2 = 2*k. Suppose -k + 11 = 2*b. Calculate the remainder when m(-4) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/4*8\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2. Let w(h) = -11*h**2 - 29 + 29. What is w(l(z))?\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + -86a?\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - i + 16 = 0, d + 9 = -4*i + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 292 - -433. Is 725 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 25 + 11*v + 16*v - 27 + 268. Let s be r(-10). Let g(d) = d**2 - d + 3. Give g(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*x = 1044000, -3*r = -r + 2*x - 1044000. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(2\/5 - (-22)\/(-30)). Suppose -6*b + 7*b - 901 = c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 4 = 4*r, -2*r + 80 = 90. Solve 4*m + 20 = 0, 2*g + q*m + 7 = -5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3*(sqrt(833) + -2 + sqrt(833)) + sqrt(833) + 1 + -2 + (-2 + sqrt(833))*-1)*2)**2.\nAnswer: -58800*sqrt(17) + 3003700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 4 = -2*k. Suppose 3*q - 2*q = k. Suppose -5*d = v + 2*v - 4110005, -q*v + 2*d + 2739998 = 0. What is v rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2de1ae (base 15) in base 11?\nAnswer: 128a346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/((z**(-3)\/z)\/z))*(z\/z**3)\/z)**34*(z**(-1)\/z*z)**(-46)*z**(-4)*z**(2\/7) assuming z is positive.\nAnswer: z**(-1608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.04  (b) -3\/4  (c) -1\/7  (d) 5  (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 - 26 + 6 - 11*m**2.\nAnswer: -12*m**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 550 and 3383875.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 4*k**2 - 1. Let m be p(-1). Let g(n) = -n**3 + 6*n**2 + 2*n - 10. Let x be g(2). Solve 5*s = -x, -3 = 2*v + v - m*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*m + 2 = 4*m, 0 = -m - 5. Let v(a) = -a**3 - 6*a**2 + 6. Let t be v(i). Solve 26 = 5*d + t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 218*n**3 - 55*n**2 + 59428*n wrt n.\nAnswer: 1308*n - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 63*k**2 - 33*k - 52*k**2 - 57*k**2 + 32*k - 14*k**3 + 177*k**2 + k**4 to s*k + o*k**2 + n*k**3 + j*k**4 + l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = -11 - 1. Let b be (-372)\/8 - (-1)\/a. Let t = 12 - b. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -157+66994.22\nAnswer: 66837.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(0\/(-2) - 2). Let t(l) = -5*l**3 + 56 - 22318*l + 4*l**3 + 22319*l. Is 7 a factor of t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (962 - 961)\/(16 - 2)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 + 51. Let u = -41 + m. Let l = -20.9 - u. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 124*p - 2767. Determine u(96).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1137467 and 7076?\nAnswer: 4549868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.16173 to 3 dps.\nAnswer: 7.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (16\/(-24))\/(2\/(-30)). Suppose 4*v - p - 9 = 0, p + u = -0*v + 5*v. Is 5 a factor of (-3 - (v + -5))*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -218.8917943 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4143 + -2409. What is the greatest common factor of q and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 + -0.45. Let u = -0.07 - p. Which is smaller: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-4) - (-17121)\/(-108). Let o = f + 159. Determine t, given that o*t**3 + 0*t + 2\/9*t**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2 + 54*h - 34. Let p be g(27). Let x be ((-119)\/p - (0 - -4))*-68. Suppose 5*v - 26 - x = 0. Calculate the remainder when 57 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 10*p**3 - 6*p**2 + 2*p - 7. Let q(r) = 12*r**3 - 7*r**2 + 2*r - 8. Let f(h) = 5*l(h) - 4*q(h). Suppose -c + 3 = 1. Is 8 a factor of f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-9 + (-3 - -3)). Is h < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pvc when three letters picked without replacement from pwvwwjwjpcwpj?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 440 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 133, 127, 123, 121, 121, 123?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-22200)\/(-5476) - (-4)\/(-74). Let b(w) = -w**3 + 5*w**2 - 2*w. Let p be b(4). Solve -5*a + 6 = -f - 16, -u*f + p = 4*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*b**5 + 149*b**3*y**2 - 930*b**2*y - b - y**2 + 1 wrt b?\nAnswer: 1800*b**2 + 894*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 31*p + 26*p - 55*p. Let n(k) be the third derivative of 3*k**5\/20 - 2*k**2. Give d(n(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3990 = 4*q + q. Suppose -7098 = 4*o + q. Let b = -1074 - o. What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 361900 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - 3 + 3 - 17 - 53 - 8*g in the form r*g + k and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 1047?\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 498258, 498260, 498262, 498264, 498266?\nAnswer: 498268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4))**(13\/3)*(h**(-2\/3))**(2\/29) assuming h is positive.\nAnswer: h**(361\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1216) + 1 - -4*(sqrt(1216) + (sqrt(1216)*-1)**2))*2*3*6.\nAnswer: 1440*sqrt(19) + 175140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-6)*(-60)\/(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -228, -214, -192, -162, -124, -78?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of -1987*p**5\/20 + 2*p**2 + 1935*p. Let b(c) = -2*c. Give b(a(y)).\nAnswer: 11922*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4*x**2 - 1112*x - 1113. Give l(279).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9748672 is divided by 5701?\nAnswer: 5663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (13 - (4 + 2)) + (7 - (-1 + 2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 329*t + 5123. Give i(-39).\nAnswer: -7708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3884*j - 563*j + 3833*j - 483*j.\nAnswer: 6671*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (25 - 7 - 17) + -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-810)\/(-9) - (0 - 1). Let a be u\/65 - 6\/(-10). What is the greatest common divisor of 16 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -14*k**2 + k - 1. Let v(f) = -27*f**2 + f - 2. Give 5*b(s) - 3*v(s).\nAnswer: 11*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/13 + 8*p\/13 - 254890\/13.\nAnswer: 2*(p - 355)*(p + 359)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, 1, -0.3, -2\/11, -1 in descending order.\nAnswer: 1, -2\/11, -0.3, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 94*k**3 - k**2 - 116*k wrt k.\nAnswer: 564*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 2*o = 32. Suppose o = 2*n - 0. Sort 3, n, 0.\nAnswer: 0, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (3 - 7) + -2 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.55 - -0.25. Suppose 4*z = -n + 21, 2*n + 3 + 5 = 2*z. Which is the third biggest value?  (a) w  (b) -1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/2))**(4\/25)*(t**(-1\/3)*t)**(-3\/23) assuming t is positive.\nAnswer: t**(-4\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 5*j - 29 = -9*m - 5*j - 4*j, 4*j + 33 = 57*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1151670 and 2953.\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 1  (c) 3  (d) 1.37928\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*a + 66*a + 16 = -5*d, -2*a + 2 = -4*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 plus 40567383628.7?\nAnswer: 40567383628.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(2\/3)))**(14\/5)*(o**(1\/4))**(-31\/5)*(o**(-1\/7)\/(o**(-1\/7)\/o))\/(o**(-1))**(-32) assuming o is positive.\nAnswer: o**(-413\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4990*m - 79473. Calculate r(-16).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1003570*z**2 - 33 + 33.\nAnswer: -1003570*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4496533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -r - 8. Suppose 3232 = 4*n + 5*l, 5*n + r*l + 3*l = 4035. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/10))**42)**(-16) assuming h is positive.\nAnswer: h**(-1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from zzzztzttzzztzztzzzz?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/240 and 137\/168.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1546 - 2350?\nAnswer: -4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d - 2*d + 2*d)*(2*d - 2*d - 2*d**3) + 5*d - 5*d - 2*d**4 as x*d + t + w*d**3 + r*d**2 + j*d**4 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 2 + 0 + (-81 - -2 - (-298 - -267))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 370924 and 150590?\nAnswer: 220334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12032 (base 4) to base 11.\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -290630759 plus -0.0045125?\nAnswer: -290630759.0045125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -112*g - 29. Let l be u(-1). Suppose l*d = 49*d + 154054. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (130\/(-2600))\/((-3)\/(18\/1)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -4*j + 5*k, 0 = -k - 11 + 8. Suppose -2*p - 5*l = -64, -5*l + 160 = j*p - 0*l. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7015*s**6 - 81*s**2 - 7114*s**6 + 222*s**2 wrt s.\nAnswer: -11880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2*x**5 + 184*x**4 - 186*x**3 = 0.\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x - 220 + 3*x**2 - 15*x**3 + 221 + 28*x**3 - 8*x**4 to a*x**3 + g*x**4 + k*x**2 + p + d*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-4)\/(-30))\/(4\/(-39)) and 30\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, b: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = 22*p + 8*p. Solve 0 = -3*f + p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 - 30 = -3*z - w, 0 = z - w - 27. Calculate the remainder when 94 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 20*b - 81276 = 2*b. Do b and -3123 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 2:49 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 36467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*w = 4*t - 64*w + 5, -t - 2*w = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.25 + 0.05. Which is the nearest to 0.1?  (a) r  (b) -0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 114 + 32 = -5*b, 2*b = -3*t + 37. Let m = b + -7. Suppose m*z - 5*z - 575 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {i: 1, e: 1, b: 3, r: 2, j: 3}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -171, -356, -555, -774, -1019?\n\"Answer: -f**3 - f**2 - 175*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -s + 3*u + 40, 3*u = -s + 8. Let p = 30 - s. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*x + 2*x - 6*x + (2 - 5 + 2)*(4*x - 2*x + x) - 16*x + 27*x - 32*x)*(-3*x + x + 0*x) in the form o + z*x**2 + b*x and give z.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 5*x**4 + 47\/2*x**2 + 0*x - 37 + 0*x**3. Find the second derivative of w(r) wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 54.6416 nanograms?\nAnswer: 0.0546416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 10, 49, -1, -219 in ascending order.\nAnswer: -219, -5, -1, 0, 10, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7444.999 - 7445. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000728906347 to 5 dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 399\/(-57)*(-16)\/(-14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 820 by -205.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/5, -2\/13, -1\/6, 12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*l = 3*l + 3, -13 = 3*y + l. Put y, -2, 3, 6 in descending order.\nAnswer: 6, 3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-11) + (-280)\/(-88). Let k(q) = 2 - q**2 - c*q**2 - 2. Let d(m) = 3*m - 12. Let p(i) = -i + 2. Let w(s) = -d(s) - 6*p(s). What is k(w(f))?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*d + 23. Let a(b) = -2*b + 15. Let t be a(d). Suppose -n - t*p = -599, -2 = 3*p - 4*p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(91)*3 + 3*(sqrt(91) - (sqrt(91) + sqrt(91)*-1)))\/(-5*2*sqrt(63)\/sqrt(225)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 429 < 1039282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3008\/(-448)*(16 + -9).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -57, -301, -861, -1863, -3433, -5697?\n\"Answer: -21*w**3 - 32*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51700 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9426.7 - -9427. What is the closest to -2 in 2\/5, f, -16.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -3\/17, 1\/6, 3\/5, -4599?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52\/5 - 54\/5. Suppose 2*i = m - 0*m - 1, -m - 11 = i. What is the closest to 2 in -5, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9948*q**5 + 198964*q**4 + 1163996*q**3 + 1612044*q**2 + 648*q = 0. Calculate q.\nAnswer: -9, -2, -1\/2487, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 41743323 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -28.4 + -6.6. Let r = n + 34.7. Which is the closest to -2\/3?  (a) r  (b) 2\/5  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.316775 milligrams to grams.\nAnswer: 0.008316775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 8*g + h + 5 = 0, g - 4*h + 19 = 0. Let m(s) = -1 - 5*s - 3*s + s**2 + 5*s + s. Let v(f) = 2*f**2 - 3*f - 1. Calculate g*v(l) + 4*m(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/76 and 4\/(720\/803) - (-2240)\/(-2016)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 37*p + 5. Let h(o) = -o + 55. Determine h(z(m)).\nAnswer: -37*m + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20497668 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*i, -2*n - 2*i + 117 = -211. What is the remainder when n is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1815229?\nAnswer: 13, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(-1)\/10*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**3 - 4310*m**2 + 17216*m - 17208 = 0.\nAnswer: 2, 2151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -176 - -61. Let a = 120 + g. Which is greater: a or 29\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/753172 and 55\/4018?\nAnswer: 216160364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006167128 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 - 34.1. What is the third smallest value in -1, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u**2 - 18*u. Let n(t) = 3*t**2 - 12*t + 1. Let o(m) = 7*n(m) - 5*x(m). Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 45. Suppose -397*g = -402*g + f. Solve 5*a - 2*n + 4 = -1, g*a + 5 = 3*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + -6*sqrt(3))*-3 - (sqrt(12) + 4 - sqrt(3)).\nAnswer: -4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iie when three letters picked without replacement from {v: 5, e: 1, i: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 5*o**2 - 6*o + 1. Let l be r(6). Let b = -2 + l. Let j = 167\/11 + -15. Which is greater: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-20)*1\/8)\/(((-1066)\/(-123))\/(-26)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4110464 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 8. Let d be h\/(-7)*-11 - (-14)\/(-49). Suppose d*p - 11*p = -370. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 6 + w - 4 - 2. Let k(g) = -g + 1. Let l = 6729 - 6731. What is l*y(x) + k(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1087 + 1690. Suppose -5*y + 2*d + l = 0, -4*d - 238 = 3*y - 5*y. Suppose 4*m - 36 = a - y, -5*m = -5*a + 380. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, l: 3}. Give prob of sequence nlln.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 88*z - 1264. Let u be q(-19). Solve u*n - 119 = 30*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -81422*n**3 - 14*n**2 - 20*n - 31. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 69  (b) -2.045  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 1140675827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 1 + (2 + 2 - 2)*(1 + 2 - 2) - 1 + 2 + 1)*(-628*u + 356*u + 458*u)*((-1 + 3 - 1)*(2*u - 3*u + 2*u) - u + 0*u - 2*u + u + 3 - 3).\nAnswer: -558*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + 4*sqrt(363) + 2 - ((sqrt(363) - (sqrt(363) + (sqrt(363) + sqrt(363)*-2)*1)) + sqrt(363) + sqrt(363) - 2*(sqrt(363) + 1)))**2 + -3.\nAnswer: 330*sqrt(3) + 3289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13 - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -47214 - -73928. What are the prime factors of o?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1381 divided by -55?\nAnswer: 1381\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 3*r = 16, -27 + 33 = -3*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 5*f. Let u(r) = -168 + r**2 + 168. Calculate u(b(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 6)*(-d + d - d) + 164*d - 993*d + 376*d - 944*d - 35*d.\nAnswer: -1434*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*4 - (-2 + 2). Determine d so that -4*d - 26*d**3 - 2*d**3 + 8*d**2 + 14*d**5 + 18*d - k*d**4 - 4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igriggrssgs. What is prob of sequence rgg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -1672*r - 207325. Determine l(-124).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/9 + (-1)\/12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of 5*r**4\/8 - r**3\/6 + 4*r**2. Calculate the remainder when 54 is divided by c(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 + 1. Let h = 9 - 6. Let i be s(h). Solve -5*w = 5 + i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138510, -138511, -138504, -138483, -138442, -138375, -138276?\nAnswer: -138139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -7*u + 12. What is the highest common factor of 132 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-12))\/((-1)\/(-8)). Suppose 0 = -h*m + 2*s + 2*s - 8, -m = -4*s + 5. Let k be m + (-4)\/(8\/310). What is k rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -1911*h - 5732. Give v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -12 + 303513\/84*-4. Is -14466 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.108 - -7.208. Let z = t - 8.1. Which is the nearest to z?  (a) 0.2  (b) 1\/7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*l**2*v + 16*l**2*z**4 + 10*l**2 - 4*v*z**4 + v with respect to z.\nAnswer: 64*l**2*z**3 - 16*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*s = 42*s + 4. Let c(i) = 2*i + 1. Calculate c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2208, 7125, 15324, 26805?\n\"Answer: 1641*d**2 - 6*d + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*a**4 - a**2 + 12*a**4 + 2*a**3 + 3 - 37*a**4 - 3 in the form d + h*a**3 + k*a**4 + w*a**2 + q*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6\/17, -11, 3?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -117, -149, -25, 333, 1003, 2063?\n\"Answer: 13*p**3 - 123*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-3)\/65)*90\/450.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**3 - 156*d**2 + 184*d + 960 = 0. What is d?\nAnswer: -40, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 550, 1, 7, -1, 5, 56 in increasing order.\nAnswer: -1, 1, 4, 5, 7, 56, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214*n - 41*n + 5755860 = 0. Is 228 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -11*f + 6*f - f**3 + 7*f. What are the prime factors of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*g + 15*g + 0*g + g to the form y + j*g and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 200 + -80. Let j be (-3)\/(-8)*w\/36*16. Calculate the greatest common divisor of j and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-46)\/(-11) - (-24)\/(-132). Solve -i = -x*c + 25, 0*c - c + 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 3*t**2 - 1. Suppose -276 = 103*u + 239. Let j(g) = 2*g**3 + 5*g**2 - 3. What is u*a(p) + 3*j(p)?\nAnswer: p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -40 + 43. Solve 2*r - i*h = 17, 2*h + 15 = -h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ovk when three letters picked without replacement from {o: 2, i: 1, e: 2, v: 1, s: 1, k: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 51 - (5 - (3 - (19 + -8)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37941857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30181117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n**5 - 22*n**4\/3 - 28*n**3\/3 + 12*n**2 + 10*n\/3 - 14\/3 = 0. What is n?\nAnswer: -1, -7\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 175 + 175. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 2*h + 238, 5*f + 4*h = 531 + 63. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 0 + u + 0*u**2 + 1\/12*u**4 + 0*u**3 + 1\/20*u**5. Find the third derivative of x(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 60 = 110. Suppose -5*v = -w - 41. What is the remainder when 43 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 61*z + 936. What is g(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x. Let j(p) = 17*p + 1. Let o(i) = -2*j(i) + 9*t(i). Suppose 0 = -6*b - 61 + 91. What is o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/225453 and 85\/8088.\nAnswer: 1803624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m*m*m\/(m*m**(-13)))\/(((m**(4\/3)\/m)\/m)\/m))**(-40))**(-16))**4 assuming m is positive.\nAnswer: m**(128000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 43635421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*m + 7*m + 82*m to the form l + i*m and give i.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2448) + -1 + sqrt(2448) + 3 + sqrt(2448) + 2 + 3*(sqrt(2448) + -1*(sqrt(2448) - (sqrt(2448) - sqrt(2448)*-2))))**2.\nAnswer: 1152*sqrt(17) + 352528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 173, 280, 387?\n\"Answer: 107*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -4*p + 5*t, -5*t = -18 + 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -1543*m - 233002. Give u(-151).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416170 rounded to the nearest 10000?\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sszzzssrzszsssssssss.\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2856 divided by 204.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156523 is divided by 77993?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-7950)\/(-9) + 16\/24?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01208*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 182 and 308178?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*a - 920 = -18*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k**2 + k - 2*k**4 + 4*k**4 + 12*k**2 + 0*k to the form x*k**3 + b + l*k**4 + p*k**2 + n*k and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-6)\/(-4))\/(1\/2). Suppose -q*x + 3 = -3. Solve -2 - 4 = x*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 331942992 divided by 601346.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 4, -37, -5 in increasing order.\nAnswer: -37, -5, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 23*d. Let m = -188 - -191. Let y(j) = -227 + 462 - 235 - m*j**2. Determine x(y(o)).\nAnswer: -69*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12)\/8 + 11620\/8 + 0.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 9*b**2 + 6*b + 35. Let u be y(-10). Calculate the greatest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, -2\/19, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 393*g**3*z**2 + 2*g**3*z - 22*g**3 + 6*g**2*z - 4735*g*z**2 wrt g.\nAnswer: 2358*z**2 + 12*z - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23647?\nAnswer: 13, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(152)\/(sqrt(8)*-1) + sqrt(19) + sqrt(19) + (sqrt(38)*2)\/sqrt(2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/9  (b) 3\/5  (c) -1  (d) -1086  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 107*n + 1. Let s(u) = -3*u**2 - 3771*u + 3771*u. What is v(s(b))?\nAnswer: -321*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 4097?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -162575023\/342 - -475366. Find the common denominator of -113\/36 and z.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(162))\/sqrt(9).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -2*l - 11, -5*l + 15 = 2*a - 10. Let s be 640\/35 + (-2)\/l. Solve -4*i = 6 - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 290. Let j be m(0). Let k = 10867 + -10576. Is j greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(-5) - (112\/(-48))\/(735\/(-252)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1211)\/(-49) + -24)\/(12\/(-14))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1580 divided by -4?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 g, 1 p, and 1 d when four letters picked without replacement from dtttgppptptttd?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 3*y - 26, 5*b + 2 = 4*b + 3*y. Let q(d) = 1 + 0*d**2 + 0*d**2 - d**2 + 9*d + 9. Let a be q(b). Calculate the highest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -26161899*n. Let t(q) = 5*q. Calculate y(t(x)).\nAnswer: -130809495*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 7:42 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4222, -4224, -4228, -4234, -4242?\n\"Answer: -y**2 + y - 4222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02283463 and -64.\nAnswer: 1.46141632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -13*r + 97. Calculate m(12).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 - -25. Let v = 9 + -13. What is the biggest value in l, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 6. Let b be (93\/(-6) + 1)\/((-2)\/z). Let t = -26 - b. Solve -1 = u + t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -68\/11411 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 10429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 721, 759, 797?\n\"Answer: 38*p + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5651\/4 or 1413?\nAnswer: 5651\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (((-84)\/8)\/7)\/3. What is the biggest value in -2, -11, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 8381882.\nAnswer: 25145646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1932.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 200701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 790 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 2 = s - 3, s - a = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.35 + 2.6. Let a = d - -0.74. Is a >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kstsstststtytt. What is prob of sequence ty?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -11279 less than -11426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 14 = -5*s. Let v be 20\/s + 6\/9. Let y = 5 + -5. Which is the third smallest value?  (a) -11  (b) y  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 2\/5  (b) -16  (c) -2907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*52\/36 - -5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -40010 + 4?\nAnswer: -40005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**6\/120 + s**5\/15 - 2*s**3\/3 - 3*s**2. Let i be u(-3). Let q = 63 - 251\/4. What is the nearest to q in -0.1, -2\/9, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2010*x**2 - 2008*x + 2.\nAnswer: -2*(x + 1)*(1005*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.11 - -0.11. Let l = 372 + -379.04. Let x = l - k. Which is the second smallest value?  (a) 0.1  (b) -5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-57)\/9 + 1\/3. Let w(h) be the second derivative of h**4\/8 + h**3\/2 + 216*h**2 - 392*h. Let p(s) be the first derivative of w(s). Determine p(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300680312 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 6*i - 24. Let w be v(3). Is 33\/(-99) + 8278\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - c - 12, -5*m - 1 = 5*c - 11. Suppose 2*n + 3*s = 0, -n - 10*s - 6 = -m*s. What is the greatest common divisor of 192 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0052263 to five dps.\nAnswer: 0.00523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**4\/11 + 7*x**3\/11 = 0 for x.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/sqrt(288) + 4*sqrt(192))\/(2*sqrt(36)\/(sqrt(48)\/sqrt(72))).\nAnswer: 97*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 81279990*d**3*o + 28629641*d**3 wrt o.\nAnswer: 81279990*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 2*t + 1. Let o be l(-2). Solve -2*f = -5*g + 11, o = -4*f - 4*g + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/9 + 2232808*x\/3 + 623178945608.\nAnswer: 2*(x + 1674606)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 PM and 3:48 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l - 10. Let q(s) = 18*s**2 + 4249. Give f(q(z)).\nAnswer: 18*z**2 + 4239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2*k - 10, -i + 5*i + 2*k - 10 = 0. Which is the nearest to 2?  (a) 5  (b) i  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 0) + 12 + -72 + 76\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/4554 and -101\/1518.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*s + 5 = -0*o, 3*o - 4*s = 15. Solve -o*i - 3*w + 9 = 0, 0*i - w + 3 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 330010, 330024, 330046, 330076?\nAnswer: 330114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 46726 - -6?\nAnswer: 46734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -v + 3*v + 2, 17 = p + 5*v. Put -5, 3\/7, 2\/13, p in ascending order.\nAnswer: -5, 2\/13, 3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*z - 12 + 12 - 49*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 143879.3 meters in nanometers?\nAnswer: 143879300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-16 + 4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (8 - (20 + -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 14976666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -5*r**3 + 3*r - 2. Calculate u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -24*v**5 + 17*v**3 + 23*v + 17. Let a(z) = 4*z**5 - 3*z**3 - 4*z - 3. Let x(y) = 34*a(y) + 6*c(y). Find the second derivative of x(p) wrt p.\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 2\/17, 4\/5, 27\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 2.9. Let n = 126 - 120. Let d(m) = -m**3 - 7*m**2 + 7*m - 11. Let g be d(-8). Which is the third smallest value?  (a) n  (b) x  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -292*p**2*z**2 + 6*p*z**2 + 6*p wrt p?\nAnswer: -584*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 2 = 3*t + 4, 5*t = -5*v. Suppose -4*f - 5*u = f - 55, t*u = 10. Calculate the remainder when 17 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -368ca (base 13) to base 3.\nAnswer: -12002200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5244 and 5251866.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 384610?\nAnswer: 2, 5, 38461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(24)\/(5*(sqrt(72) - sqrt(8))))*-2)**2*5 + 2.\nAnswer: 16*sqrt(3) + 1613\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 20 = -f - 4*x, 0 = 3*f - 4*x. Suppose -10 = 3*y - 2*u - 43, -y = -3*u - f. Solve -5*g - y = 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06 - -0.44. What is the nearest to 1 in o, 0.4, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.46 + 0.4. Let g = 121.06 - 125. Let m = x + g. Which is the third smallest value?  (a) 2  (b) m  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + y + 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/1105442 and 19\/305.\nAnswer: 5527210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9057*o**3 + 48*o**2 + 11.\nAnswer: -54342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5724535 to the nearest integer?\nAnswer: 2393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -37, -16 in decreasing order.\nAnswer: -16, -20, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*l = 14*l - 868. Suppose -18*j + 19*j = -21. Let d = j - l. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -228 and 6.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-5)\/(-650)*4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -32549, 12 in ascending order.\nAnswer: -32549, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1256219 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 22\/205, 2\/11, 1\/4, 2, 0.4?\nAnswer: 22\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1258 and 592.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 10. Suppose 0*x = d*x - 27. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1393.8388 rounded to the nearest 10?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3603*c - 1156549. Calculate j(321).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from qxftj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + y = -18, 3*l - 1 = -4*y - 28. Let q be l\/(20\/8) + 2. Let v = 6 + -1. Solve -x - x + u + 2 = q, -v*u = -3*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*a - 133*a - 115*a + 44*a.\nAnswer: -278*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 6*a**2 - 8*a + 10. Let m be p(7). Let z(q) = -1 - 7*q**2 + q**3 + 4*q + m*q + 0*q**3. Calculate the remainder when z(6) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {j: 2, s: 2, x: 1, g: 2, v: 1, r: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10085, 18869, 27633, 36365, 45053, 53685, 62249, 70733?\nAnswer: 79125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, -9, -32, -65, -108, -161?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of r**6\/21 + 12*r**5\/35 - 18*r**4\/7 + 80*r**3\/21 - 862. What is d in j(d) = 0?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(252) + -1 + -4 - (1 + sqrt(252) + sqrt(252))*1) + (-1*sqrt(252) + 2)**2 + ((sqrt(252) - 2*sqrt(252))*-4 - sqrt(252))).\nAnswer: -1500 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (1 - -4) + -10 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12*(-14)\/45024)\/(3\/2*23\/138).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101827146, 101827147, 101827148, 101827149, 101827150, 101827151?\nAnswer: 101827152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*c - 5496 = 200*c + 95*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*a + 59*a + 405 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 4, 0 = -2*u + 3*v - v + 16. What is the units digit of 4\/u*15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1087, 0.3, 0.2, 0, -77?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305980.\nAnswer: 2, 5, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -26059572 divided by 592263?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(153) + 2*sqrt(153) + sqrt(153)) - sqrt(153))\/(4*sqrt(144)).\nAnswer: -13*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**3 - 128 + 128.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of k**4\/12 - 3*k**2 - 10*k. Let d(v) = -6*v. What is c(d(a))?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13272 and 9.\nAnswer: 39816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -654042, -2616112, -5886210, -10464336, -16350490, -23544672, -32046882?\nAnswer: -41857120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(8\/5))\/(y\/y**(8\/5))*y**(1\/4)*y**(1\/5))**(-10) assuming y is positive.\nAnswer: y**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -54, -140 in descending order.\nAnswer: -1\/6, -54, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*p - 128168 = -27018. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -6*j. Let n(v) = 732*v**2. What is n(y(p))?\nAnswer: 26352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 100022?\nAnswer: -100023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 (base 11) in base 6?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -116071 - -0.044264949\nAnswer: -116070.955735051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of s**3\/3 + 11*s**2\/2 - 23*s - 3. Let l be o(-14). Suppose -l*d + 14*d + 515 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -33 - (-19 + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1500 and 1050?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -2\/13  (b) 4  (c) -3  (d) 303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42 or -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand q - q**2 - q - 3*q + 3*q + 6*q**2 + (4 - 3 + 2)*(125 - 125 - 22*q**2).\nAnswer: -61*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 594 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -159 - -456. Is a a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*a - 4, 4*a - 5*a - g + 1 = 0. What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -65836, -65849, -65862, -65875, -65888?\n\"Answer: -13*p - 65823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 486776976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 385 and 2600.\nAnswer: 200200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of m**3\/3 + m**2 - m - 1. Suppose s + 5 + 6 = 4*o, -2*s - 14 = -4*o. Determine k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 1\/24*o**4 + 8*o + 0 + 0*o**3 + 5\/2*o**2. Let c(w) be the first derivative of y(w). Let a(n) = -11*n. What is c(a(u))?\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l + 0*l - 2*l**3)*(1165*l + 601*l + 504*l - 442*l) to i + f*l**4 + k*l**2 + v*l**3 + s*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 864 divided by 32\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 199879, 199884, 199903, 199942, 200007, 200104, 200239, 200418?\nAnswer: 200647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 137 + 358. Let k = 728 - g. Suppose 4*t + 15 = -5*q + k, t - 3*q = 120. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(1\/11)\/(h\/((h**(-1\/3)\/h)\/h*h))*h**(-1\/9)*h**(-12) assuming h is positive.\nAnswer: h**(-1421\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-228)\/80 + -13 + 0 - -16?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + a3?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5*(-2 + (0 + (((-4 + sqrt(68))**2 - sqrt(68)) + sqrt(68) - sqrt(68))*3)*1).\nAnswer: -1247 + 270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/31728 and -37\/4040.\nAnswer: 16022640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9868773.\nAnswer: 3, 3289591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -235*v + 204*v**2 - 101*v**2 - 103*v**2 + 395*v**4 + 19*v wrt v.\nAnswer: 4740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2729 - -3454. What is the highest common divisor of 87 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 52. Let i be r(8). Suppose 90 - 282 = -i*m. What is the greatest common divisor of 104 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/6)\/(10\/31). Let n = -5\/6 + f. Which is the closest to -2?  (a) n  (b) -3  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42.688108 - 2.\nAnswer: 40.688108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 190.665657 seconds in weeks?\nAnswer: 0.0003152540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2992*r**2 - 3436763*r + 3436763*r in the form i + o*r**2 + l*r and give o.\nAnswer: -2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -8*a**3 + 2*a**2 + 15*a + 53. Is f(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -1100?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -135219124*h**4 + 103*h**2 + 35*h + 4517.\nAnswer: -3245258976*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6039963364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 n, and 1 i when three letters picked without replacement from {w: 5, l: 1, i: 2, n: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -6*s**2 + 12*s + 13. What is i(6)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11 + 5)\/((-60)\/25 + -1 + 3). Solve -24*x + 20*x = 5*d - w, -2*x = d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjjobbjzboqbo. Give prob of picking 1 z and 1 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3493.\nAnswer: 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 - 57. What are the prime factors of 474\/21 + 9\/u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 360 and 5940?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5)\/(-10) - 1403\/2)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -615 and -115.38.\nAnswer: 70958.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 267 - 248. What is the remainder when 32*1 - (-2)\/(26\/65) is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/11868 and -151\/17802?\nAnswer: 35604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 5846?\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03987628447 plus 0.005?\nAnswer: 0.04487628447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s - 3*s - s)*(-2*s + 1 - 1)*(-s + 3*s + 0*s).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -110636?\nAnswer: -110635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 8. Let v(g) = -g**2 - 9*g - 3. Let c be v(-8). Let n be (-2)\/c - 8\/(-45). What is the third smallest value in a, -3\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 10*r**5 - 175*r**4 + 605*r**3 + 820*r**2 - 1980*r + 720 = 0.\nAnswer: -2, 1\/2, 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.45267 nanograms to micrograms.\nAnswer: 0.00245267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -5*k + 70. Let w be ((-4)\/k)\/((-25)\/35). Suppose w*u**3 - 6\/5*u**2 - 2\/5 + 6\/5*u = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0*v + 4. Suppose -29 + 75 = 2*g. Suppose 2*q + 10*j - 14 = 7*j, 3*j = 6. Solve g = -5*z + z - 3*m, q*z = v*m - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9530*v + 9530*v - 140*v**2 + 5)*((-8 - 4 + 9 + (2 - 1 + 0)*(-2 - 4 + 5))*(-v + 1 - 1) - 2*v + 2*v + v + (4 + 0 - 2)*(2*v - 3*v + 3*v)).\nAnswer: -1260*v**3 + 45*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -97+886067\nAnswer: 885970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 3 = -i, -30*i - 4*n + 3 = -69*i + 38*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -36*y + 254. What is l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-22)\/n**(-9\/5))**(-10) assuming n is positive.\nAnswer: n**202","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 4 = 4*h, 0 = -h + 4*l + 30 - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*59.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 5, 3, 0, 3619, -22.\nAnswer: -22, -18, 0, 3, 5, 3619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -53588, -53475, -53362, -53249?\n\"Answer: 113*h - 53701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7)\/140*8*-10. Solve g*p + 3*s = 8*p - 22, 2*p - 5*s = 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 47979*c**3 - 114997*c**3 + 0.\nAnswer: -162976*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6 - ((-78)\/(-18) - 5)*-6. Let q = 41 - 37. What is the second biggest value in y, 1.3, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 divided by 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 7:18 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.2, -32\/9 in descending order.\nAnswer: 0.2, -2, -32\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/15, -40, -0.3296, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -1 + 1\/3*j**4 - 78*j + 6\/5*j**5 + 115\/3*j**3 + 0*j**2. What is the second derivative of n(h) wrt h?\nAnswer: 144*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmjm when four letters picked without replacement from {j: 5, m: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/((q\/q**(19\/2))\/q))\/(q**(4\/27)*q))\/(q\/(q\/q**34))**(-36) assuming q is positive.\nAnswer: q**(66601\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1408391574.\nAnswer: 2, 3, 41, 5725169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2777.4 + 2777. What is the closest to -1\/4 in -4, f, -46, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52781 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 60287?  (a) 2  (b) -9  (c) -1  (d) 0.4  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 704710 + 704683 - 1409393 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 14*g - 15. Let r be u(3). Let j = 33 - r. Solve -4*a + 4 = -j*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55168?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 9:00 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -b96?\nAnswer: b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**4 + 3*o**4 - 4*o**4)*(8*o + o - o).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -h - 2*f + 3599, -3*h - 4*f + 10829 = 0. Suppose -a = 4*a - h. Let c = -488 + a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from didzddlcdddddd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - x = 5*g + 6, 5*x = -3*g + 6. Suppose -4*f = -x*f - 8. Suppose 2*t = -t + 15. Calculate the lowest common multiple of t and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 7*r + 10. Let j(q) = -q**2 + 10*q - 17. Let f be j(5). Let p be x(f). Let y = -16 + p. Solve y*c + 0*c - 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -40, 295, 830, 1565, 2500, 3635?\n\"Answer: 100*d**2 + 35*d - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -333241422 (base 5) to base 4\nAnswer: -11210331200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/12)\/(95\/57)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 184378*g**2 - 16922*g**2 - 1.\nAnswer: -201300*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -35 in 0, 5866, 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 61 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = l + l - 10, l + 3*o = 15. Suppose -r + 3*m + 4 = l, 2*r - 2 + 15 = -m. What are the prime factors of (-18)\/(-2) - 0\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 132, 5, 2, 1, 3.\nAnswer: 1, 2, 3, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 0 - (65 + -52 + (-14 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 17 = -4*f, 4*x - 19 = 7*x - 4*f. Let n = 41 - 43. Which is the closest to x?  (a) 2\/5  (b) n  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(200) + sqrt(200) + -1*sqrt(200) + sqrt(200)) + sqrt(200))\/(-1*sqrt(400) - (5*(sqrt(4)*2 + sqrt(4)) + sqrt(4))).\nAnswer: -45*sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aouaawamuaauumf. What is prob of picking 2 a and 1 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5\/3, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 174365348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from {x: 2, t: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1264?  (a) -3  (b) 2  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/5 - 2288*p**2\/5 + 458*p.\nAnswer: -2*p*(p - 1)*(p + 1145)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-35) - 733\/(-7). Suppose 2*a - 31 = 11. Calculate the greatest common factor of a and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -m - 0*g + 8, 2*m - 2 = -3*g. Is m >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 694 divide 167254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -441435*u**3 - 57249*u + 3 wrt u.\nAnswer: -2648610*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 9:17 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {j: 1, z: 2, l: 9, h: 1, i: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1515 and -253016.\nAnswer: 383319240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -404402 + 154?\nAnswer: -404226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3633591091.\nAnswer: 13, 2797, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/5, -1\/4, -5, 0, 34, -774?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -21  (c) -1  (d) 9\/2  (e) 83\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, i: 5, q: 1, w: 1}. What is prob of sequence wee?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-140*d**4 + 25*d + 424236*d**2 - 424236*d**2)*(1 - d - 1).\nAnswer: 140*d**5 - 25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19 - -1f69c1d?\nAnswer: 1f69c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 - 2*m - 7. Let i(w) = -13800 - 13798 + 27597. Calculate 4*i(h) - y(h).\nAnswer: -h**3 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1739.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 18*l + 7. Let v(o) = 19*o + 8. What is -7*j(b) + 6*v(b)?\nAnswer: -12*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 - m**2 + m**3)*(2*m + 5*m + 0*m + m).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -233, -699, -1165, -1631, -2097, -2563?\nAnswer: -3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t + 31. Let v = -30 + 34. Let c be (v - (-39)\/(-9))*27. Is k(c) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/375*10)\/((-13)\/((-286)\/1)).\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(3\/5))*u)\/((u\/((u\/u**8)\/u))\/u))\/((u\/(u*u*u**(-1\/3))*u)\/u)**(-18) assuming u is positive.\nAnswer: u**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11202010 + 221?\nAnswer: 11210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4768*j - 94276 + 94276 to i + f*j and give f.\nAnswer: 4768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -136, -3, 5 in decreasing order.\nAnswer: 5, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + -0.3861?\nAnswer: -10.3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 24*x - 115. Calculate the remainder when 297 is divided by a(-29).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 32  (b) 16  (c) 2\/11  (d) -1\/9  (e) -0.09  (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1959 - i + i + 1551*i**3 - 530*i**3.\nAnswer: 1021*i**3 - 1959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**2\/7 - 213*r - 4500\/7 = 0. What is r?\nAnswer: -3, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i*j**3 + 215927*i*j**2 + 2*i*j - 2*i - 200374270*j**3 with respect to i.\nAnswer: j**3 + 215927*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 13*c**2 - 16*c - 17. Calculate the lowest common multiple of h(-14) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (-20 + 2 - (-27 + 42)) - 13\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-6)*o**0)\/((o\/(o\/(o\/(o\/o**(-3\/5)))))\/(o\/(o*(o\/(o**(-1\/7)\/o*o)*o)\/o*o)*o)))\/(((o*o**1)\/o)**(-9)*(o\/o**(-1\/3))**(-39)) assuming o is positive.\nAnswer: o**(1906\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -544*l**2 + l + 5. Let c(z) = -z. What is p(c(v))?\nAnswer: -544*v**2 - v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.9 - 4.3. Sort c, 5, -3, -2 in ascending order.\nAnswer: -3, -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 166186957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25114 is divided by 101.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 12*f**2 - 26*f - 92. Let j be x(5). Solve -3*t + j = -5*u + 46, -5*t = u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvyjjjqjjyxyqjy. What is prob of picking 1 x and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -413*g - 1. Let j be l(1). Let u = 645 + j. Suppose -5*z = -4*t + 275, 5*z - u = -3*t - 16. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of p**4\/3 - 4*p. Let j(z) be the third derivative of -3*z**5\/20 + 79*z**2 - 2*z. Give j(s(q)).\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -101*b**2 + 8 + 57*b**2 + 49*b**2 + 2*b in the form l*b**2 + k*b + w and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1\/2))\/s**(-33) assuming s is positive.\nAnswer: s**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 19*l - 57. Let b be z(26). Let u(r) = 251*r - b*r - 110*r. Let k(a) = 16*a**2. Calculate k(u(s)).\nAnswer: 4096*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 12322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*d = 33*d + 37*d - 162 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69 - ((-12)\/3 - 0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.734 - 0.161. Let u = -0.9 - m. What is u rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/9 or -704.97?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of b**5\/60 + b**4\/6 - b**3\/6 + b**2 + 10*b. Let j(d) be the first derivative of h(d). Suppose -2*g - 20 = 3*g. What is j(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 5*i - 2765, 0*z + 4*z = 5*i + 2248. What are the prime factors of z?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l = -11*l. Which is smaller: 2\/227 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.6635626 - -0.65158. Round p to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 130 and 5.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v - h + 6 = 0, -3*v + 5*h = -3 + 33 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {u: 8, r: 3, e: 6}.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0693418 + -0.26934348. Let s = 3760.8 + -3761. Let l = s - u. Round l to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbbgl. What is prob of picking 1 g and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 25235.573 to the nearest 10.\nAnswer: 25240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4 = -3*s. What is the closest to 2\/7 in -3, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, n: 2, j: 1, r: 1}. Give prob of sequence rn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*d = -109, d - 15 = 4*d. Suppose 0 = -5*m + t - 59. What is the least common multiple of m and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 4. Let q(m) = -m + 3. Let j be q(3). Give x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of m**6\/300 + m**5\/50 + m**4\/20 + m**3\/15 + m**2 - 1. Let c(n) be the second derivative of i(n). Factor c(k).\nAnswer: 2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4165*5692.\nAnswer: -23707180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -65 + 68. Let a(c) be the first derivative of -2*c**2 + 2\/3*c + 16\/9*c**y + 3. Let a(s) = 0. Calculate s.\nAnswer: 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*474\nAnswer: -1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -30 + 3*a - 17 + 5 - 14. Let w be q(20). Let z(i) = 14*i - 10*i - 10*i**2 - w*i. Let l(p) = p**2. Determine l(z(m)).\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 1:07 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2686000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -431\/5, 5, 1, 0.5, -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 41689579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 m, and 1 k when four letters picked without replacement from cmlkumklkcllkk?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 - 2*r + 2*r)*(91 + 38 + 40)*(-4*r**2 + 2*r**2 + 3*r**2).\nAnswer: -338*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1305 and 2958?\nAnswer: 44370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-44)\/(-55))\/((-2)\/(-15)). Suppose -3*t = -6*t. Suppose p - h*p + 335 = t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d\/(d\/d**3)*d**(-4)*d**(4\/5)\/d*d*d**(-1\/6)*((d**(-2))**40)**30 assuming d is positive.\nAnswer: d**(-71981\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 + (-7)\/2)*116. Suppose -5*i - h = -x, 3*x - 5*i - 71 - 83 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16872*r**2 + 2*r - 2*r - 122862*r**2.\nAnswer: -139734*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9460 + -4?\nAnswer: 9457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m - 9. Suppose -27 = 2*s + 5*w, -2*w = 5*s + 3*w + 45. Determine a(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 431528756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + -1 + -4)*1)**2 + sqrt(931) + -2 + 2*sqrt(931) + 4.\nAnswer: -49*sqrt(19) + 958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i = 20*i + 10. Suppose -i*q - 16 + 28 = 0. Suppose -10 = 4*s - 30. Solve 3*f + q = -s*p + 2*p, 30 = 5*f - 5*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/15 - 23\/((-552)\/(-16)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 - -9. Let j be 4*1 - 351\/c. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*j + 2. Let r be 2\/4 - j\/(-2). Find the second derivative of z**3 + 2*z - z + z + r*z wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-1))\/(8\/16). Is n\/3 + 42 - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30056172405819 - 5.\nAnswer: 30056172405814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-2))\/(3675\/(-6300))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/3 - 50*f + 477.\nAnswer: -(f - 9)*(f + 159)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17834 + 164?\nAnswer: -17680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 64077 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -14  (b) 0.4  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 4*m**2 - 8*m + 4. Let k(v) = -3*v**3 + 7*v**2 - 16*v + 7. Let l(i) = -7*h(i) + 4*k(i). What is the second derivative of l(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -825 or -827?\nAnswer: -825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*s = -183*s + 5670. What is the smallest common multiple of 270 and s?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 927.8701 meters to centimeters.\nAnswer: 92787.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -171?  (a) 8  (b) 4  (c) 518  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 22\/15 of a century?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 1.7. Let n = 6 - 10. Let m = n - -4.1. Which is the nearest to m?  (a) -1  (b) 2\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 15*i - 343 = -10*i, -5*i - 82 = -q. Suppose 29*m + 58 = -q. What is the nearest to -0.1 in -4, -1, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and 0.158.\nAnswer: 5.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 111514\/18 + (106\/(-2862))\/((-2)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3582901?\nAnswer: 7, 511843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (4 - (4 + -14 + -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45308044.\nAnswer: 2, 11327011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117056448 divided by -6.\nAnswer: 19509408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 0.068?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 2\/15, 2\/13, -6 in increasing order.\nAnswer: -9, -6, 2\/15, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -2*h + 5*m, 20905*h - 2*m - 11 = 20904*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 450\/105 + (-2)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to -132\/1171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - -1 - -14 - 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**4\/12 - 19*n**3\/6 - 13*n**2\/2 + n. What is the tens digit of v(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 584*u**4 - 169*u**4 + 174*u**4 - u**4 + u**4 - u**4 + (2*u**2 + u**2 - 5*u**2)*(0*u - 2*u**2 + 0*u) - u**4 + 3*u**4 - u**4.\nAnswer: 593*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9 + (1 - -2))*10\/(-12). Put -2, 0, 3, l in ascending order.\nAnswer: -2, 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = 3*d - 4*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4 = 2*w, -2*x - 4*w + w - 6 = 0. What are the prime factors of 2*(5 + -1 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001111010101111000000 (base 2) in base 14?\nAnswer: -4b9692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and 526159939574.76.\nAnswer: 526159939577.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 8:13 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 143 + -1003\/7. Which is the biggest value?  (a) -1  (b) -7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0\/w)**(2\/41)*(w*w\/(w*w**(-5))*w*w*w)\/(w\/(w*w**(-2\/7)*w)))**(6\/17) assuming w is positive.\nAnswer: w**(16644\/4879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -13*d - 266. Let t be f(-24). Let v be ((-479)\/(-14) + 18\/63)*2. Calculate the greatest common divisor of t and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(117) - (sqrt(13) - ((sqrt(52))**2 + 2)).\nAnswer: -4*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 3*l + 4*y - 13 = 0, 0 = 4*y - 4. Suppose -s - 2*g = -6, s + 5*g = l*s + 6. Solve 2 = -s*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/105 - 29\/(-87). Which is the closest to f?  (a) -0.3  (b) 0.1  (c) 0.2  (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from hmfmhf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - ((16 - 27) + 5 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9513336 + -171415571\/18. Let a = t + 9748. Calculate the common denominator of -61\/6 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 4*q - w - 63, -4*q - w = -115. Let c(a) = a**3 + 2*a**2 - a + 2. Let m be c(-2). Suppose -5*o - r + 3 + q = 0, m*o - 19 = 5*r. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5196242 divided by -2?\nAnswer: -2598121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*y - 19*y - 91 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 4*k**2 + 166*k + 624. Give b(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 222204207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of s**5\/60 + 2*s**3\/3 + 170*s**2. Determine l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/4110 and (28 - 44) + 2*7 + (-2480)\/(-1233).\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 146412*c**4 - 10*c**3 + 14*c**2 + 1427548.\nAnswer: 3513888*c - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 5*k - 107. Let p be b(25). Suppose 0 = -3*q - s - 10, 10*s = q + 5*s - p. Let w(m) = 2*m**2 + 2*m. Determine w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23*17*1591\/109779?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.5 in -13647, 0.2, -3\/4, -1\/3, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhnr when four letters picked without replacement from rnhhhhhhnhhnhhh?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -382 + 387. What is the closest to -4\/5 in -0.4, 4, s, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**3 + 2*d**3 + 2*d**5 + 2*d**3)*(128 - 654 - 349).\nAnswer: -1750*d**5 - 1750*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -339*c**3 + 661*c**3 - 346*c**3 - 3 + 3.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**0)**(1\/8)*(u**7*u)\/u*u\/u**7 assuming u is positive.\nAnswer: u**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 0 - 0 - (-1 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3407 + -555.957.\nAnswer: 2851.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -9*w**2 - 11*w - 7. Let k(s) = 6*s**2 + 7*s + 5. What is 7*k(h) + 5*y(h)?\nAnswer: -3*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(sqrt(363)*2 - sqrt(363) - sqrt(3)) + ((sqrt(242)*1 - sqrt(242))*4 - sqrt(242)).\nAnswer: -109*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 less than -4274205246?\nAnswer: -4274205264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15\/(-25) - -1 - 8\/(-5). Let k be 1*((-200)\/(-32))\/(t\/8). What is the second derivative of 25*x**2 + x + 20*x + 7*x**5 - k*x**2 wrt x?\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2*p - 3*a = -94, 4*a = 0. Calculate the remainder when p is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 0)\/((-3)\/6). Let u(q) = -q + 10. Let z be u(7). Suppose -3*g - 2*g = -5*l - 10, -10 = l - 5*g. Put z, v, l in increasing order.\nAnswer: v, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uruf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (110 - (-13 + 32)) + -46.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 + 12. Let b = z + -4. Let g(j) = -2*j + 3. What is the units digit of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54 and 21474.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q. Let b(m) be the third derivative of -m**4\/12 + 6*m**3 + 555*m**2 + m. Calculate i(b(t)).\nAnswer: -6*t + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74222386 is divided by 11045.\nAnswer: 11031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/3)\/(110\/(-3425565)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -7*q. Let j be b(-7). Is 50 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*a**4*m - 2*a**4 + 493839*a**3*m - 6*a**3 + 162*a**2*m + a**2 + 4*a*m + 3*m - 27761 wrt a.\nAnswer: 96*a*m - 48*a + 2963034*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 7*h + 7. Suppose 587 - 337 = 5*q. What is the remainder when q is divided by m(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -491, -615, -739, -863, -987?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -10, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 + 4 + 3 + 1583. Suppose -2*a + 632 = -y. List the prime factors of a.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {l: 1, u: 1, i: 2, o: 2, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w - 24 = 12. Let g(p) = p - 12. Let r be g(7). Sort -2, w, -6, r in decreasing order.\nAnswer: -2, w, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 824, 820, 816, 812?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*h + 5*i, -5*h + 15 = -5*i + 3*i. Suppose -h*q + 12 = -69. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c59 (base 13) to base 7\nAnswer: -6062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -219.99999954 + 220. Round j to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x + 4. Let g(q) be the second derivative of -q**3\/6 - q**2\/2 + 82*q. Let p = 1407 + -1408. What is p*d(t) - 5*g(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -19*n + 17. Determine b(8).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000397 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 10039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95)\/sqrt(5)*-4*4)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10129 and 14790.\nAnswer: 149807910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2347596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 12*j + 16*j + 13*j + 5*j - 45*j.\nAnswer: j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 7:09 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(513)*-3 - sqrt(513)) + -5*(sqrt(513) - sqrt(513)*1))\/((sqrt(675)*4)\/sqrt(9)*-5).\nAnswer: 21*sqrt(19)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 0*k - 40 = 0. Suppose -2*h - l + 2*l + 15 = 0, h - k = l. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3967, 15708, 35271, 62650, 97839, 140832, 191623, 250206?\n\"Answer: -b**3 + 3917*b**2 - 3*b + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/5))**(-34)\/(p**2*p)**28 assuming p is positive.\nAnswer: p**(-386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32354 and 8?\nAnswer: 129416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20065.\nAnswer: 5, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*m, -2*v + 3*m - 21 = 8. Let p = -2477\/5 + 489. Are v and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -5*k - 1. Let f be w(-1). Suppose 9*i = 11*i - 4. What is the greatest common divisor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 828.7835 millilitres?\nAnswer: 0.8287835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 162*((-440)\/594)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-162)\/162*4\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4\/5))**4 assuming w is positive.\nAnswer: w**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2666, 2696, 2750, 2828, 2930?\nAnswer: 3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 229 + a**4 - 23829*a**2 - a**3 - 135 + 851 + 23829*a**2 to the form j*a**4 + w*a**2 + d*a + y*a**3 + n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1380519129 and -4056.9.\nAnswer: -1380523185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**2 - 9*m**2 - m**2 - 2*m**2 - 6*m**2 - 20*m**2.\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/16 or 1\/4?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 + 20. Let w(a) = a**3 + 5*a**2 + 3*a + 4. Calculate w(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 983 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*w - w + 4*w)*(-3*w**3 + 3*w**3 + w**3) + 0*w**2 + w**4 + 0*w**2 as n*w + f*w**4 + k*w**3 + z + q*w**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 6021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -z - 2*y + 4, 2*z + y - 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 96\/(-189) + 4\/18. What is the second smallest value in 21, m, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 1548?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 127682 + -78925. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 12:48 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 7. Let t(h) = 28448*h**3 + h**2 - h + 1. Let b be t(i). Suppose 5*x + 86551 = -b. Round x to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -7 + 4. Let g(q) = 95*q**2 - 2*q + 2. Is g(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 6739494?\nAnswer: 1\/3369747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*n + 110 + 1271 = -257 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 136 and 1999064.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 19753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 886812 and 93410864.\nAnswer: 280232592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -131*y**2 + 269*y**2 - 145*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 26. Let p be x\/18*(-2)\/20. Suppose -6*m - 6 = -0*m. Is p > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-45)\/(-30)*((-22)\/(-5))\/(57\/95). Put -4, 4, 3, -1, i in descending order.\nAnswer: i, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582218 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-476)\/21)\/(-17)*-6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, 45, 93, 141, 189?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98772394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 200*u**3 - 8*u**2 - 11*u + 15. Determine w(-2).\nAnswer: -1595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 16, 4*h + 3*d + 7 = 107. Suppose 0 = 4*w + 8 - h. Solve -5*j + y = -3*y - 10, 4*j + w*y - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 6:26 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19220*j**4 + 52*j**2 + j - 1?\nAnswer: 461280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26.82?  (a) -0.2  (b) -0.11  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/3 - 23)\/4)\/(789\/(-3156)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -4. Let p be (6\/(-12))\/(y\/44). What is the derivative of -25*n**4 - 2 + 7*n**4 + p*n**4 wrt n?\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7965 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -w**4\/12 - 3*w + 95. Let k be (-9)\/7 + (-2)\/(-7). Calculate v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77 + -55. Suppose 2*y = 2*z - 3*y + i, 2*y - 8 = 0. Let s(m) = m**2 - m - 1. Let n be s(-1). Is z at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j - 315. Let z(c) = -70. Let k(r) = -2*o(r) + 9*z(r). Let h(w) = -1584*w. Give k(h(m)).\nAnswer: -3168*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - -1)*1\/2. Let d be (j - 1) + (1 - 2). Let w(t) = -t**2 - 3*t + 4 - 5 + 2*t. Determine w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 378 + -375. Let o(q) = q**3 + 3*q**2 + 3. Let f(h) = -h**3 + h**2 + 1. Give w*f(l) - o(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2\/18*15*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -6)\/(-27) + (5632\/1224)\/(-16)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3 + ((4*sqrt(1664))\/(sqrt(242)*-2) + 5)**2).\nAnswer: -6716\/121 + 160*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 3*y + 3. Let o be a(4). Let l be 0 + 2 + o + -3. Is -1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5 = 10. Let u(f) = 4*f**2 - 1. Let v be u(t). Suppose -4*l + 2*p + 496 = 0, 7*l - 500 = v*l + 3*p. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/21)\/((-222)\/(-35) + -6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67 + -45. What is the fourth smallest value in 0.2, -5, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15*1122\/(-3825))\/(1\/10).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - -6 - -5 - (0 + (-27 - -35))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 - -53. Solve -7*x + u*x = -2*g, 2*x + 2 = 2*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 736170*-0.2.\nAnswer: -147234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12940773 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 9*w - 7. What is the remainder when n(-6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**10\/(g\/(g*g\/g**10)))**40*((g\/(g\/(g*g**(-7)*g)*g))\/g**(-1\/3))\/(g\/g**(-3\/5)*g**(-2\/7)) assuming g is positive.\nAnswer: g**(3467\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130388197?\nAnswer: 173, 753689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/12 + 7210\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 0. Let y = d + -1. Let x(m) be the third derivative of m**6\/40 - m**5\/30 + m**3\/6 - 167*m**2 - 3. Give x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 1008221\nAnswer: -1008221.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*g + 5*r, 0 = 2*r + 3*r + 20. Suppose -p = 5*s - g*p - 3122, -s + 5*p = -640. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 19  (b) -0.5  (c) -0.02506  (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 5*z = 10*b + 10, 31*b + 2*z - 4 = 22*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.85 - -3.11. Let g = -83 + 88. Let w = g - f. Is w smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -134942485 by 4.\nAnswer: -134942485\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + 2*g - 86. Suppose 23 = 2*x - g. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49821 - 9067327\/182. Let n = -2\/91 + q. Which is the biggest value?  (a) n  (b) 1\/9  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (3 - 3) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 + 28. Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83148208?\nAnswer: 2, 11, 13, 36341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 6*s**2 + 4*s - 18. Let w = 84 + -85. Let q be (-39)\/13 - w*(-2 - 1). What is the units digit of a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 65?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**3 + d**2 - 6*d**3 + 329*d**4 + 6*d**3 - 330*d**4 + 4*d**2 + 7 - 2*d in the form s + q*d**2 + c*d + n*d**4 + r*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 292 and 584.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22272)\/5760)\/((-14)\/(-105))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/12*3)\/(15\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2004266 by 253.\nAnswer: -7922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 106 = 2*k, 34 + 100 = 4*r - k. Which is smaller: r or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 30, -0.08, -41, -7, 2\/17?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2665.9 - 2233. What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*y**4 + 14*y**4 + 74*y**5 + (0*y**2 + y**2 - 3*y**2)*(-4*y**3 + 0*y**3 + 3*y**3) - y**5 + 0*y**3 + 0*y**3 + 0*y**5 + 3*y**5 + 2*y**5.\nAnswer: 80*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 - 0. Let s be ((-12)\/(-80)*-5)\/((-45)\/32). Let t = s + -14\/15. Which is the nearest to t?  (a) h  (b) 3  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 0.3, -2\/3, -1, 138, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5078159744.\nAnswer: 2, 7, 47, 120587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -5*h**3 + h**2 + h - 1. Let p be x(1). Let i be (-7 - -7*(-950)\/(-931))*7. Sort 17, p, i in descending order.\nAnswer: 17, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - z - 4. Let b be (6 - 1)\/(-9 - -8). Let y be o(b). Let n = y + -38. Calculate the remainder when 64 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 5*h**8\/336 + 2*h**5\/15 - h**2\/2 + 8. Let l(n) be the second derivative of j(n). What is the third derivative of l(x) wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - 3. Let n be ((-3)\/3)\/(2\/u). Let g be -4*((-7)\/9 + 6\/(-27)). Solve -n*m = g*d - d, 0 = 3*d - 2*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16738441\/268 - 62456. Let i = c + -8\/67. Let r(k) = -k**3 + 6*k**2 - k + 4. Let q be r(6). Is q >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24 - 27 + 25 + 35 + 8 + 71*k with respect to k.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-2)\/((-2)\/1). Let w = 4 - y. Suppose w*a = 2*c - 7*c, a + 5 = -5*c. Solve -a*u = 9 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.8269917 to 3 decimal places.\nAnswer: 2.827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-12)\/(-102) - 12629\/(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 3:35 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18\/11?  (a) -1  (b) 2\/5  (c) 2\/29097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j**3 - j + 1. Let v be r(1). Suppose -2 = -3*n + 5*i, 0 = 4*n + v*i - 17 - 5. Suppose 0 = 2*l - n*l + 8. Solve 2*t = -0 + l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y**4 + 5442*y**3 + 21747*y**2 - 27190*y = 0. What is y?\nAnswer: -5438, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + 23*w**2 + 49*w + 155. Let n be i(-21). Let b(o) = -o + 10. Let q be b(6). What is the derivative of 8*m**q - n + 20 - 11 wrt m?\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-7)*(-2)\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(2)*2)**2 - (sqrt(882) + sqrt(18))\/sqrt(9).\nAnswer: -8*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23\/(138\/16)*(-63)\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.067 bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4455)*-2)\/(sqrt(539)*-1) - -6*sqrt(10)\/((sqrt(20)*2)\/sqrt(10)))*-4.\nAnswer: -156*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156344.\nAnswer: 2, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.5 - -1. Let s = 2.73 - -0.27. Sort l, s, -0.7.\nAnswer: -0.7, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 177, 2480, 6911, 13470, 22157, 32972, 45915?\n\"Answer: 1064*x**2 - 889*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395 = -1146*g + 1275*g + 1153 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-13146)\/(-84) - (7 + 2). Suppose -455 = 5*z + 2*f + 263, -2*z - 2*f = 286. Let n = z + y. Which is the closest to -0.3?  (a) 0  (b) n  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from sjkfjmn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/3)\/((-342)\/27).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 107646 and 16310?\nAnswer: 538230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 47*r - 440. Calculate g(33).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of p**4\/24 + 5*p**3\/6 + 25*p**2. Let o be 53\/(-11) + (-12)\/66. Let n be b(o). Solve 4*d + 0*d = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158\/19799 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -4*m + 33, 0 = 3*b + 23*m - 21*m + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2 = -u, -3*t - u = -7. Let p(l) = 0*l + 5 - t - l. List the prime factors of p(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 3*w**2 - 180*w - 3. Let j be z(-15). Which is the second smallest value?  (a) -5  (b) j  (c) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 12 + 33 - 9 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 84\/22 - (-8)\/44. Let t be 3 - g - (-14 + 0). What is the highest common factor of 143 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -6*v**3 + v**2 + 1. Let j(n) = -25*n**3 - 2*n**2 - n. Let r(w) = 3*c(w) - j(w). Let y(i) = -4*i**3 - 3*i**2 - 2. Calculate -3*r(s) - 5*y(s).\nAnswer: -s**3 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 46009 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7 or -8194\/1365?\nAnswer: -8194\/1365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**1*o)\/(o\/(o\/(o\/(o*o**2*o)*o))))**(-16\/9)\/(((o*o**3)\/(o*o*o**2))\/(o**(-1\/4)\/(o\/(o**(-6)*o)))) assuming o is positive.\nAnswer: o**(-203\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7613343 by -5.\nAnswer: 7613343\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kgkkgkkgkkkkkkkkkg.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439330 is divided by 38937.\nAnswer: 11023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(55)\/sqrt(5) + 4 - sqrt(110)\/(sqrt(90) - sqrt(10)))**2.\nAnswer: -375\/4 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20115 and 75?\nAnswer: 100575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3217167826 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: Suppose 0 = s + 6*s + 1841. Is (3 - 2)\/((-1)\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 17402642?\nAnswer: 34805284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8346 + 48095. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**5\/60 - 5*j**4\/12 - 5*j**3\/2 - 3*j**2. Suppose 20*u + 13*u = -264. Let z be w(u). Sort 6, z, -2.\nAnswer: -2, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -6*n**2 - 5*n + 4. Let s(c) = c**2 - c + 2. Let i(z) = -4*s(z) + v(z). Let f(w) = 11*w**2 + w + 5. Give 6*f(t) + 7*i(t).\nAnswer: -4*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 430519.8.\nAnswer: -215259.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, a: 1, e: 2}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2646694666 to the nearest integer?\nAnswer: 51446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 437757\/21 + (4\/(-35))\/((-115)\/(-575)).\nAnswer: 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77680.93 rounded to the nearest one thousand?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 + -0.5. Let v(d) = -2*d**3 - d**2 + 2*d. Let g be v(-4). Let j be g\/(-88) - (-2 + 1). Which is the closest to j?  (a) r  (b) 0.5  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*c + 268 - 88 = -48*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(98)*-1)*-1*-5)**2.\nAnswer: 1050*sqrt(2) + 2675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98167638 and 834?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1078)\/3*48\/(-32) - -1. Calculate the highest common factor of 702 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**2 - 5*q - 2. Let f(u) = -u**3 + 12*u**2 - 12*u + 15. Suppose 39 - 6 = 3*k. Let o be f(k). What is the smallest common multiple of t(o) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - d - 11 + 27 = 0, -40 = -4*r - 4*d. Let o = -8.2 - -0.2. Put r, 2\/3, o, 1\/9 in decreasing order.\nAnswer: r, 2\/3, 1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30451009*r**3 - 4494127*r wrt r?\nAnswer: -182706054*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/7))**17)**15 assuming m is positive.\nAnswer: m**(-510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 53 and 557.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q**2 - 2*q**2 - q**2 + (-5*q + 0*q + 4*q)*(-q + 4 - 4) + (-3*q - 2*q + 3*q)*(61*q + 41*q - 10*q) + 0*q**2 + q**2 + q**2 + 2*q.\nAnswer: -180*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001546 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 41696481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 6 - 30. Let x(l) = -l**3 + 18*l**2 + l + 6. Let k(z) = z**2 + z. Let q(i) = 4*k(i) - x(i). Let f be q(14). Is f != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0*g - 4 = 0. Let v(s) = -s**2 + 7*s + 10. Suppose 2*j + 5 = -4*c + 1, 4*j + 3*c - 17 = 0. Let z be v(j). Are g and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 29*a + 282. Give p(34).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*z**3 - 432749724271407*z + 432749724271407*z.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 463528392 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 973?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15889382291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 31018*d - 18. Let s be z(1). Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 124.258 + -124. Let p = u - -0.242. What is the fourth biggest value in 3, p, -1\/5, 3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196338196.\nAnswer: 2, 1433, 34253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - 0 - 0\/(-3). Suppose v = 4*v - 96. Suppose -3*c + 6 = s, -2*c - v = -2*o - 4*c. What is the highest common divisor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 3:39 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 5*c + 26, -t + 5*c - 46 = t. Let p be (8\/24)\/(2\/t). Let f be ((-20000)\/(-6))\/((-248)\/84 - p). Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 12:54 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -39 + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/96*(-34)\/51*(5 + 93\/(-21))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 + 297 - 132 + 500)*(40*l**3 - 85*l**3 + 41*l**3).\nAnswer: -2864*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1972383, -3944826, -5917269?\n\"Answer: -1972443*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-6 + 2) - (160 - 154)) + 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 4*j - 4830 = 0. Let d = j + 5903\/6. Calculate the common denominator of d and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -156.999999207 - -157. Round m to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196.52590940871 - -1.\nAnswer: 197.52590940871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -246 + -260?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15697\/1218 + 11\/203. What is the common denominator of 11\/5 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 40\/(-16)*(-4)\/(-5). Let p(h) = 93*h**3 - 3*h**2 - 5*h - 1. Let u(j) = -92*j**3 + 4*j**2 + 6*j - 1. Let b(l) = -3*p(l) - 2*u(l). Is b(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 194ae - 183?\nAnswer: 1932b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 97216 and 6272.\nAnswer: 194432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 612.509272 rounded to the nearest ten?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -53281.124 rounded to the nearest 100?\nAnswer: -53300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**3 - 4*x**2 + 3*x**2 + 10*x - 2*x**2 + 4*x**2 as l*x**3 + a + z*x**2 + s*x and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from llllllellelllleelll?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3029 a factor of 209644693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -7*h + 13. Determine i(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -3\/4, 0.3, 379?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -397 + 4c28?\nAnswer: 4881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -683*c**2 - 4*c - 2*c + 665*c**2 as h*c + k*c**2 + r and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 4*j + 1816 = 0, -2*j + 700 + 390 = 3*y. Is y\/18 - (-30)\/(-135) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -93, -103, -123, -159, -217, -303?\n\"Answer: -p**3 + p**2 - 6*p - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 137 = 5*l, -4303913*l = -3*y - 4303911*l - 109 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*m - 61 = -176. Let q(o) = 7*o**2 - 5. Let g(d) = -d**2. Let t(u) = -u**2 + 1. Let k(l) = -g(l) - 3*t(l). What is m*k(c) - 3*q(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -2 + (1 + sqrt(99) - sqrt(99)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 5*r**2 + 3 + (-r + 0*r - r)*(-r - 3 + 3) + (r - 3*r - 4*r)*(5 - 5 + 2*r) - 6*r**2 + 4*r**2 - 3*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1488319 is divided by 187?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 3)*(-20 + 20 + 8*k) + 0 - 2*k + 0.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -13*i - 1. Suppose -3 = 3*h - 2*q, -h - 2*q + 1 = -6*h. Suppose 2*y = -1 - h. What is the units digit of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {d: 2, t: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/169 + -28\/169. What is the second smallest value in -2, u, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6131 - 4572?\nAnswer: -4572.6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2)*15*202596\/(-1181810).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 56*i**4 - 2*i**3 + 55*i**2 - 2*i. Let r(g) = -g**3 - g. Let u(s) = h(s) - 2*r(s). Find the third derivative of u(f) wrt f.\nAnswer: 1344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1341.4 times -0.0894?\nAnswer: 119.92116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x**2 + 2*x - 2. Let q(s) = -s**2 + s - 1. Let n be ((-9)\/2)\/((-12)\/(-16)). Let b be -3 + 2*(-3)\/n. Determine b*q(y) + a(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 149503555 and -0.116.\nAnswer: 149503554.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 89\/390 + -4\/65. Let n = 1\/1142 - 1715\/2284. Sort -1\/12, -0.02, n, b in ascending order.\nAnswer: n, -1\/12, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2054, 2231, 2458, 2759, 3158, 3679, 4346, 5183?\n\"Answer: 4*q**3 + q**2 + 146*q + 1903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124754 is divided by 167.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13907\/30 + -2382\/5. Calculate the common denominator of j and 73\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/386 + 97\/193. Let p = -0.1721 - -0.0621. What is the closest to 2 in p, r, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (878 - 9237 + 2033)*((-3 + 3 + 2*a)*(0*a**2 - 4*a**2 + 2*a**2)*(-4 + 2 + 3) + (-a + 2 - 2)*(2*a**2 - 3*a + 3*a)) + (-2*a - a + 2*a)*(2 + a**2 - 2).\nAnswer: 37955*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-15))\/((-350)\/(-900))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54268\/57 + -952. Calculate the common denominator of b and -35\/4.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 25\/(11375\/6398) + (-3 - -1). Let x = o + -162\/13. Sort -4\/159, x, 3\/5 in increasing order.\nAnswer: x, -4\/159, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 643467049 to the nearest integer?\nAnswer: 25367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from aqffavpvaaaasa.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 517885 (base 10) in base 15?\nAnswer: a36aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/6*(2 - -1). Suppose m - 5 = -0*m. Let x(u) = -3*u - 2. Let a be x(-1). Put a, m, b in increasing order.\nAnswer: b, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 minutes before 10:30 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Round 4.825347 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c**3 - 58*c**3 - 49*c**3 - 13*c**3.\nAnswer: -115*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -148013964.8 rounded to the nearest ten thousand?\nAnswer: -148010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -392 + 397 + 0*y + y. Let o be j(1). Let q be 252\/(-10) - (130\/(-25) + o). Which is bigger: q or -27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-20087234.\nAnswer: 60261702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, g: 1, y: 1, d: 1}. Give prob of sequence uy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 158 = 2*v - 249, -2*k + 3*v + 78 = 0. Suppose c = 4*c - 72. Calculate the lowest common multiple of c and k.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of 179*o**5\/120 - 29*o**4\/4 + 33*o**3\/2 - 134*o. Let s(a) be the second derivative of t(a). Differentiate s(z) wrt z.\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, x: 1, c: 3, t: 3, k: 1, u: 2}. Give prob of picking 1 c, 1 k, and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1034 + 620 = -46*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 565993064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -430 (base 7) to base 16\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4*w + 18069 + 23467 = 0, w = -4. Is f a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 - 47 = -21*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9430 by -230.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4 + 1.6. Which is the biggest value?  (a) -7  (b) 2\/3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 13*w**2 + 25*w + 11. Let q(d) = -13*d**2 - 26*d - 11. Let p(y) = 7*k(y) + 6*q(y). Is p(31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0. Let x = 995 - 965. Suppose -11*d + 16*d - 5*u = x, 4*d = -4*u. Solve m = -d*h + 4 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 39\/4, 0.1, 2 in descending order.\nAnswer: 39\/4, 2, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**4\/o**2*o**(-7)*o**(1\/2) assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**2 - 6417*t + 6417*t + 4 + 1 + t**2.\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12.3 + -21.2. What is y rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/4034110 and -67\/21806.\nAnswer: 4034110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + (-1 - (-2 - -2)) + -22 + 27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide ((3\/18)\/((-87)\/3393))\/(1\/(-736))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103064755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 9*m - m. Suppose 3*v - 3*n - 534 = 0, 5*v + 696 = m*v + 4*n. Calculate the highest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/4)*d)**8\/(d**(-1\/6))**(7\/3) assuming d is positive.\nAnswer: d**(187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 20116, -17, 3, -3, 4 in descending order.\nAnswer: 20116, 4, 3, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*s - 44*s + 11*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in -4, 18, 72\/25?\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -81502 (base 15) to base 6\nAnswer: -12435502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11058400, -11058403, -11058406?\nAnswer: -11058409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -694 take away 0?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4792*b + 4743*b + 2793 = 0 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eessse. What is prob of picking 3 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -158 - (-200 + 110) - -49.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(637) + 0)*2 + 1.\nAnswer: 1 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 638739403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -469*b = -345*b - 5*o + 139, -3*b - 15 = -4*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((70\/(-196))\/(15\/12))\/(6\/(-56))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -39693.77 and 20.\nAnswer: -793875.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26697?\nAnswer: 3, 11, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 13*d**2 + 1. Let a be (2\/3)\/((-4)\/6). What is the units digit of h(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/16*-2*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29903178 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.02376, -13, -15?\nAnswer: 0.02376","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*h + 18*h - 38*h = 135 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**2 + 50*b - 133. List the prime factors of p(19).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -1052*r**2 + 4*r. Let s(g) = 2097*g**2 - 7*g. Calculate -7*b(d) - 4*s(d).\nAnswer: -1024*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1085, 2188, 3313, 4460, 5629, 6820, 8033?\nAnswer: 9268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/7*(-28)\/(-56)*1*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**4 - 9*w**4 - 4 + 0*w**2 + 3*w**4 + 3*w**3 + 2*w**2 + 14*w + w**4 to the form u*w**2 + a*w**4 + d + o*w + h*w**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 + 9 + 6 + 30 - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-28)\/4 - 2*1. Let q be (1\/(-3))\/(1\/a). Suppose -i - 3 = 3*w, 3*i - w + 14 - 25 = 0. Solve -i*p = -0*p - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -4 + 2 - (-16 + 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 109 + -69. Let o = 49 - h. What is the remainder when 23 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -77*y + 462. Let l be s(6). Solve -28*m + 6*m + 88 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 1 = 5. List the prime factors of ((-27)\/j)\/((-6)\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 8) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1062594 is divided by 234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**2 - 422*s**3 - 2*s**2 - 2*s**2 + 403*s**3.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -312*b. Let q be s(-1). Suppose -5*a - 4*c + q = -a, -c = -3*a + 238. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 7*i - 13. Let s be y(-9). Suppose 3 = 6*o - 5*o. Let t = -25 + 40. Solve -o*j = 5*d, -2*j - t = -s*d + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -347\/2  (b) -1\/7  (c) -1284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10117 rounded to the nearest 100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49865 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -364 divided by 13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*c**5 + 10*c**3*i**3 + 2*c**2 + c + 26*i**3 - 5*i**2 wrt c?\nAnswer: -140*c**3 + 60*c*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 11 - -1*(13 + -3). Let l = -29 + 43. Let y be ((-36)\/o)\/((-4)\/l). Solve -2*s - 20 = -y*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**19*i**12 assuming i is positive.\nAnswer: i**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {q: 10, s: 9, d: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9666.488ml?\nAnswer: 9.666488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 6*n**2 - 18*n + 64. List the prime factors of h(23).\nAnswer: 3, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30092934.1848 - -28.\nAnswer: -30092906.1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h + 0*h - 2*h - 7 + 4*h + 7 + (-2 + 3 - 2)*(-h + h - 4*h) + 25*h + 4768 - 4768.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of 5*p**4\/24 + 8*p**3 - 22*p**2. Let h be a(-24). Let b = 131 + h. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 + -1?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -196 * 0.4.\nAnswer: -78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 + -25. Let t = 15 - h. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41 - 32. Suppose 5*i - 8 - 7 = 0. Suppose 6 = i*c - 6. What is the smallest common multiple of v and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19404 and 80402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 9. Solve -6*o = -p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**3 + 4*k**2 + 7*k. Let z(l) = l**2 + l. Give -u(p) + 5*z(p).\nAnswer: 2*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 708684 is divided by 27257.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -16*d**2 + 58*d - 129. Determine t(3).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t - 6 + 5*t - 4*t - 2*t**2 to b*t + m + o*t**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.6188177 tonnes?\nAnswer: 618817700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/2)\/(2\/4). Let p be (-1)\/1*3*d. What is the common denominator of p\/(-108)*(-111)\/(-5) and 79\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 2*y**2 - y + 2. Let f be v(2). Let p(m) be the second derivative of -m**5\/20 - m**4\/12 + 37*m**2\/2 + 2*m. Is p(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1332 (base 4) in base 5?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 364\/83  (b) 1\/3  (c) 0.3  (d) -1  (e) -0.3  (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -9*z. Let l(n) = -89*n. What is p(l(w))?\nAnswer: 801*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**5\/20 - 7*s**4\/12 + 5*s**3\/6 - 9*s**2 - 4*s + 395. Determine p(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*p - 2506 - 3269 = -315 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1500*y + 5255*y + 5555*y - 3337*y to c*y + s and give c.\nAnswer: 8973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1556*(1254\/5 - (-16)\/(-20)). Round f to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (3 - -1) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y + 3*s - 20 = 13*y, -5*y - 30 = -5*s. Let g(o) = 2*o**3 - 5*o**2 - 4*o. Calculate the remainder when g(4) is divided by ((-1)\/2*-1)\/(y\/(-52)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 14*z = -4*z - 139671000. What is z rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -285*t**3 + 124*t**3 + 28*t**3 + 128*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 39c5 - ac6?\nAnswer: 2cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-1)\/6)\/((-56)\/(-144))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 304150 and 4977?\nAnswer: 2737350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*n - 2*n + 0*n + (-n - 3*n + 3*n)*(0 + 3 - 1) + 0*n - 14*n - 23*n.\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 835597581836695241\/9308983048020315 - 14\/308970860235. Let t = f - 10830\/121. Let d = t + -3\/83. Which is the closest to d?  (a) 2\/11  (b) -3  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 + -52. Let s = 40 - p. Suppose 4*w = -2*u + s + 2, 4*w - 20 = -3*u. Solve 2*o = w*l + 35, -o - 2*o + 35 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(((-25)\/(-5))\/5). Suppose w = 5*p - 5*z + 35, 3*p - 2*z + z + 13 = 0. Does 3 divide 16 + p\/(-9)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -627 = 26*j - 37*j. Calculate the highest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00028185 to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wgwwggg. What is prob of sequence ggw?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f**3 - 31*f**2 - 119*f - 68. Let h be q(-5). Is 2970 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 5 - 15*r + 9 + 4 + 2. Let g be s(16). Find the common denominator of (-758)\/g - 14\/(-63) and 11\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -132 + 38. Let v(x) = -12*x - 4. Let i be v(-3). What is the common denominator of r\/i*(2 - 0) and 37\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14628253 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of 0 + 0*u**5 - 87*u + 0*u**6 + 0*u**3 - 2*u**2 - 11\/12*u**4 - 3\/14*u**7. What is the third derivative of a(b) wrt b?\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3*u**2 - 7*u - 12. Let c be d(-6). Does 59 divide (-7430)\/(-6) - (-92)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10244034 (base 5) to base 14\nAnswer: 23bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 394 - 394. Let n be -1 + (1\/(-2) - m). What is the closest to 0.2 in 1\/5, 2\/7, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*s**4 - 235799*s**3 + 2207774 wrt s?\nAnswer: -8*s**3 - 707397*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01332 * 0.1.\nAnswer: -0.001332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**4)**26 assuming y is positive.\nAnswer: y**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/20 and -73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 32\/12*(-2)\/(4\/(-3)). Let u = -236 + 231. Let r(y) = -7*y**3 - 7*y**2 + 4*y. Let i(d) = -8*d**3 - 8*d**2 + 5*d. Determine s*i(l) + u*r(l).\nAnswer: 3*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u + 14*u + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13589 and 67517?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 3*j + 72, -q - q + 49 = -j. What is the remainder when 72 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/2024935 and -95\/1298.\nAnswer: 238942330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 4*l**2 + l - 1. Let h be w(1). Let z(d) = -d**2 + 5*d - 4. Let q be z(h). Factor 0*t + q - 1\/3*t**3 - 2\/3*t**2.\nAnswer: -t**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of 0*w + 0*w**3 + 0 + 1\/180*w**5 + 14*w**2 + 7\/72*w**4. Let h(a) = 0. What is a?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-680)\/(-70) + -2 - (-1)\/(14\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 160*c + 646. Calculate z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (216\/252)\/((-30)\/(-21))*8\/3.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -256*t**4 + 2062*t**3 - 162*t**4 - 2062*t**3 - 160*t**2 wrt t.\nAnswer: -10032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*g - 3*i, -2*i = -g - 4*g + 19. Which is the nearest to 0?  (a) 4  (b) 0.06  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - 22 - -30) + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 988 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6813 (base 15) to base 14\nAnswer: 8084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 5*p - 25 = 0, 0 = 5*p - 32 + 42. Sort 0.4, v, -0.15, -2 in descending order.\nAnswer: v, 0.4, -0.15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-70)\/112)\/((-33)\/(-88)). Sort 4, 4\/5, l, -4\/5, -0.06 in decreasing order.\nAnswer: 4, 4\/5, -0.06, -4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 3. Let v = 6.0104 - y. Round v to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65805 divided by 4387\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 403 + 2534 = 3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-1 - 42\/(-7) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -l**8\/336 - l**7\/70 + l**6\/120 + l**5\/20 + 76*l**2. Factor q(h).\nAnswer: -h**2*(h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j + 3*k - 40, 484 = 3*j + 5*k + 423 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149 = 5*y - 14. Is ((-414)\/y)\/((-2)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(5\/(-2)) + 11 + -30. Let p = 17 + o. Solve -4 = 2*y + 2*h, 0 = -3*y + 3*h - p*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*w = 54 - 16, 0 = x - 3*w + 5. Is x <= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of d**9\/432 + d**8\/336 - 3*d**7\/280 - d**6\/72 + d**5\/60 + 2*d**3\/3 - 1. Let f(t) be the third derivative of b(t). Factor f(r).\nAnswer: r*(r - 1)*(r + 1)**2*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -86*c. Let b be s(4). Let n = b + 895. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - 66*w**2 + 501*w - 727. Give x(-73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o + 3. Let b = 5986 + -5885. Suppose t - a - 26 = -4*t, 4*a - 40 = -4*t. Let m(k) = t*k - b - 5*k + 100. Calculate -4*h(f) - 11*m(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -15*h**2 + 4*h - 12. Let k(c) = 28*c**2 - 9*c + 27. Let y(l) = 4*k(l) + 9*z(l). Let g(w) = -35*w**2. Determine y(g(d)).\nAnswer: -28175*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-2))\/((-8)\/9504). Suppose o = 3*o - y. What is the highest common factor of o and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((h**(3\/11)\/h)\/h*h*h*h)\/h)\/h)\/h**(1\/11))**(-32))**(12\/7) assuming h is positive.\nAnswer: h**(3456\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/2)\/(2\/8). Suppose w + 1 = -n. Calculate the lowest common multiple of 4 and (32\/6)\/(-4)*w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, q: 2, o: 6, s: 8}. What is prob of picking 1 q and 3 o?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 430*c**3 - 20*c**2 - 20*c. Let o(k) = -k**2 - k. What is -a(b) + 20*o(b)?\nAnswer: -430*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -7*a + 9. Let k be p(-3). Suppose 2*y - k - 102 = 0. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4 = -4*g, -2 = 4*g + 5*w + 6. Suppose -3*a - 5*o + 115 = 0, -5*o = -a - g*o + 20. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -102*y - 2451. What is f(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (85*p**2 - 242*p**2 - 255*p**2)*(-1 + 0 + 3 + (-4 + 5 + 0)*(2 + 2 - 3) - 2 + 1 + 0)*(3*p - 2*p + p)*(-1 - 2 + 2).\nAnswer: 1648*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36 + 198. Let t = 216 - d. What is the greatest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*a + 80*a + 507 + 45 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -34544 divided by -4\nAnswer: 8636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 1\/5, 1\/2, 0.07, 8\/15, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - (-4 - -2))\/1. Let g = -5 - -3. Let o = g - -3. Which is the closest to o?  (a) 3  (b) v  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 700*y + 104*y - 796*y. Let i(d) = 79*d**2 + 4*d. Determine b(i(t)).\nAnswer: 632*t**2 + 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 11*a**2 - 4*a - 32. Let k be z(-10). Suppose -o + 5*q + k = 0, 2*o = -2*q + 160 + 8. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**2 - h + 3. Let c be b(3). Suppose 2*y = -3*t + 16, 5*y + 1 = 4*t + c. What is the units digit of (-1*1)\/(y\/(-50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277057469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 4*o + 4, -2*o + 7*o + 2 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 greater than 29\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 1956461.692?\nAnswer: 1956464.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/280 and 13\/800.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1690 + -38860\/23. Let v = -1893\/40 + 42449\/920. Let y = v + f. Which is the third smallest value?  (a) 0.1  (b) 5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + ((-2)\/(-3))\/((-8)\/(-240))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 - 286 = -3*l. Let f = l - 137. Let p(u) be the second derivative of -u**5\/20 + u**4\/12 + 2*u**2 - u. Calculate p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {t: 5, f: 3, w: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*2*2\/(-8). Let l be 3\/7 - f\/(-7). Let q = -61\/3 - -424\/21. Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1807647 - 1807644.500002. Let u = -2.5 + m. What is u rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, e: 5, n: 4, r: 2, t: 7}. Give prob of sequence rmmr.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 134918 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 820 and -0.06.\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 + 1)*5\/(-750). What is the closest to 0 in 5, 0.5, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.1480191 rounded to 3 dps?\nAnswer: 4.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 10080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = -3*a + 4*a. Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -543977436 divided by 4\nAnswer: -135994359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 10*c**2 + 12*c - 4. Let s be o(11). Let f = 18 - s. What is the remainder when (-2 - 0) + 20 - -2 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7 and 42576.\nAnswer: 42569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9193, 9191, 9189, 9187, 9185, 9183?\n\"Answer: -2*c + 9195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2 = 5. Suppose -n*g - 4*a + 25 = 7, -5 = 2*g - 3*a. Suppose 3*j = -g*j + 165. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3827*i**3*l**3 - 2*i**3*l**2 + 3*i**2*l**3 + 2563*l**3 wrt i.\nAnswer: -22962*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 6:03 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136*l = 131*l - 235*l - 528064. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 4*w**2 + 6*w - 1. Let u be v(-5). Let c = -23 - u. Let x = c + 29. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -17.28.\nAnswer: -69.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7435, 29730, 66905, 118972, 185943, 267830, 364645?\nAnswer: 476400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(-7)\/((-49)\/21049). Calculate the highest common factor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4465 = -2*i - 5*p, 4*i - 10965 + 2075 = -2*p. Is ((-6)\/9)\/((-8)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 13*s = -33. Let l be 2314\/143 - 2\/s - 2. Suppose 3*y + 2*y = -2*q - 1, 4*q - 4*y = 12. Solve q - l = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 6. Let m = -4.7 - h. Which is the third smallest value?  (a) m  (b) 0.5  (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*c + 5 + 7, 2*c = 3*o - 8. Solve 5*h = -4*z + 18, o*h + 2 = z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c + 7. Let g(n) = -1. Suppose 55*v - 38*v = -85. Calculate v*m(y) - 35*g(y).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1090066 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1198 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*z + 3. Let m(n) = 2*n**3 - 4*n**2 + 16. Let i(r) = -r**3 + r**2 - 1. Let t(b) = z*i(b) + m(b). What is the first derivative of t(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -132, 3, 2, -228, -4 in ascending order.\nAnswer: -228, -132, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 1. Let i(k) = 7*k**3 - k**2 - k - 3. Calculate i(h) + 3*w(h).\nAnswer: 4*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 707239 and -28.8.\nAnswer: -20368483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 313663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(1584)*-1)**2 + sqrt(1584) + -4 + 2 + sqrt(1584) - ((sqrt(77) - (-2*sqrt(77) - sqrt(77))*1)\/sqrt(252))**2.\nAnswer: 24*sqrt(11) + 14230\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 4*x**2 - 10*x - 7. Let d be f(10). Let w = 365 - d. What is the highest common divisor of w and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -620032, -2480120, -5580266, -9920470, -15500732, -22321052?\nAnswer: -30381430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -94393938 divided by -4968102?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -5*x - 22, -4*x = -7*x - 4*z - 19. Suppose 0 = 7*c - 6 - 15. Sort -3, c, x in increasing order.\nAnswer: x, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uwwh when four letters picked without replacement from {u: 1, w: 2, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 17*t**3 + 9*t**2 - 13*t - 48. Does 14 divide f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 5*s + 8*s = -5, 5*v = 4*s + 14. Solve 37 - 43 = -v*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 153948\/23 + -4214565\/644. Let q = 5\/1366 - -411839\/2732. Let c = z - q. Find the common denominator of -17\/3 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, d: 6, b: 3, a: 7}. Give prob of picking 2 a.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -1. Suppose 2*f = -5*k - 25 + 2, 0 = -k + 2*f + s. Let u(p) = -3*p. Let q be u(-1). Sort q, 1, k.\nAnswer: k, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j. Let h(v) = 2*v**2 + 14*v. Let s be (2392\/195 - 2\/(-6))\/(6\/20). Give s*y(r) + 3*h(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 526*t - 5. Let m = 4 - -3. Let f be s(m). Suppose a = -z - 3405, -a - f = 5*z + 13328. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 1\/7, -59, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(99)*-2 + sqrt(99))\/sqrt(9) + 2.\nAnswer: -5*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -5 + 0 + -3 + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t + 6. Let g be m(11). Let z(y) be the second derivative of y**4\/12 - y**3\/3 - y**2 + 3*y. What are the prime factors of z(g)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -918 + 922. What is the highest common factor of v and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -15\/4  (b) -7524.4  (c) 2\/3  (d) 2  (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 213, 115, -37, -231, -455, -697, -945, -1187?\n\"Answer: 2*l**3 - 39*l**2 + 5*l + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4250, 3, -533, 2, 5, -2 in decreasing order.\nAnswer: 5, 3, 2, -2, -533, -4250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3.2  (b) -3  (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -4*w + 13*w**2 + 35 - 33 - 13*w**2 - w**3. Give c(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1054.8 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (28\/72)\/(21\/(-42))*110\/77\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, 3, -1, 4, -72, 1 in descending order.\nAnswer: 65, 4, 3, 1, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 110110001001011110001?\nAnswer: -110110001001011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138 divided by 12.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.92 rounded to 1 dp?\nAnswer: -28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -203*u**2 - u**3 + 616*u**2 - 198*u**2 - 205*u**2.\nAnswer: -u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-2304966\nAnswer: -921986.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 208*i - 15 = 211*i, -34 = 4*u - 2*i for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -3, -4, 31, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50120 and 471432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56.82 - -44. Let o = 12.8 + z. Which is the closest to 2?  (a) o  (b) 2\/3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 2*i**2 + 5*i + 3. Let b be q(-3). Let t be 1 - ((-30)\/12 + 3\/2). Let j(x) = x**3 + 0*x**2 + 5*x - 4*x + 4*x**2 + t*x. Give j(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/14580 and 59\/16200.\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7, -29, -69, -113?\n\"Answer: -2*s**2 - 30*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1894*a**3 - 3*a**2*n**2 + 66*a**2 - 11*a*n**2 + 2*a - 5*n**2 + 17*n + 4 wrt a?\nAnswer: -11364*a - 6*n**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 6761*h + 4183642. Give b(689).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/8)\/(1\/(-6)). Suppose 9*b - 12 = 4*b - 3*h, b - 20 = -5*h. Sort f, -0.1, b.\nAnswer: f, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (4 + (-3 - (-2 - -4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*-498 - (5 + -1). Round o to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 220 and 7599144697.\nAnswer: 7599144917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r - 11. Let o = -114 + 124. What is the smallest common multiple of o and d(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36\/5 - 2\/5*d**2 - 6\/5*d.\nAnswer: -2*(d - 3)*(d + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 3*a**2\/2 + 1. Let c(j) be the second derivative of j**4\/4 + 2*j + 30. Calculate g(c(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -642.12 rounded to 0 dps?\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4584 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 4. Does 7 divide j + 11 + -7*2\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n*n\/n**(-1))\/n)**(-27)*n**0*(n\/n**(4\/3))\/n)\/(n**(1\/2)*n*n**(-1))**30 assuming n is positive.\nAnswer: n**(-292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1592 (base 10) to base 12.\nAnswer: b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1104768 divided by -1008\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7018 and 454234?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*a + 2*a - 5*a + a + 0 + 0 + 2 - 2 + a - 3 - a + 3 + (2 - 2 - 2*a)*(4 - 2 - 3).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 2*k**3\/17 - 4765918*k**2\/17 + 2839244414880*k\/17 + 2839249180800\/17 = 0.\nAnswer: -1, 1191480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 d when three letters picked without replacement from esddgeeddddbp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 q when three letters picked without replacement from {z: 1, g: 1, v: 10, d: 4, q: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -9*j. Suppose 14*d = 2*c + 15*d - 3341, 5*c - 2*d = 8339. Let u(h) = -3354*h + c*h + 1668*h. Determine o(u(l)).\nAnswer: 153*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -110958 or -332872\/3?\nAnswer: -332872\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5100045 (base 6) in base 7?\nAnswer: -2022605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 154 and 13783.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21779839 and 2635?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2511 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-44)\/45*7905\/9486.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eoecgdc. What is prob of picking 2 c and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 2.67107 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 296 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 8*z - 13. Let v(l) = -15*l + 24. Let k = -478 + 467. Let h(x) = k*w(x) - 6*v(x). What is h(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1418, -1452, -1518, -1622, -1770, -1968, -2222, -2538?\n\"Answer: -s**3 - 10*s**2 + 3*s - 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 76367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 4*f**2 + 204533464*f - 204533468 = 0.\nAnswer: -51133367, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44781 and 494085057.\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-4)\/6)\/1)\/(4\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4394206?\nAnswer: 2, 19, 115637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus -0.0896708156854?\nAnswer: 0.1103291843146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -362*x - 29. List the prime factors of f(-3).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**3\/5 - 36*c**2\/5 - 24*c - 112\/5 = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 2. Let p be j\/7 - (-29)\/28. Which is the closest to -1?  (a) 4  (b) -2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = g + 17, -5*d + 13 = 2*g - 6*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*y - 35968 = 422*y - 398*y + 5234 for y.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2869548789949 + -0.3?\nAnswer: 2869548789948.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**11*m)\/(m*m**(-20))*(m**(2\/9))**(5\/9))**(1\/5) assuming m is positive.\nAnswer: m**(2521\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 56 = 84. Let a be q\/12*(-21)\/(-49). Let h = -2 - 3. Is a equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3105912 and 174879.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-14 - -9) - 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.18588906 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.082 - -3.718. Let h = -18.2 - w. Let y = -41 - h. What is the nearest to -2\/7 in y, -0.4, 4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 - (3 + -4) - 184\/((-621)\/27).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 23 = 2*w + 9, 3*r - 6 = 0. Let q = w + 40. List the prime factors of q\/5 - (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = 4*t + 3250000. Round t to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8843193*f**2 - 7820673*f wrt f.\nAnswer: 17686386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-15)*r*(r*((r*r**(-2)*r)\/r)\/r)\/r*(r\/r**(-4))**(-16) assuming r is positive.\nAnswer: r**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-3)*((-435)\/10 - 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 105, 211, 369, 585, 865?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 - -17. Suppose z - 3*z + 8 = p, -1372 = 4*w - 4*z. Which is bigger: -340 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 145*b - 1. Let f be u(3). Let j be (-4)\/10 - f\/(-35). Suppose 4*l - j = -0*l. Solve l*r - 4*m = -1, 3*m - 6 + 19 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11503131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12925 - -16597. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -5*r**2 + 134*r - 105. Give c(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.11 + -0.21. Put d, 3\/20, 5 in decreasing order.\nAnswer: 5, 3\/20, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2*q - 11 = 0, 5*o - 48 = 5*q + 7. Calculate the greatest common divisor of o and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence spss when four letters picked without replacement from {p: 6, s: 4, v: 9}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (1 + 1)) + (25 - 34).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 180 and 72430?\nAnswer: 1303740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 90983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 1 - 2*r + 0*r - 3*r. Let m(d) = -d. What is c(w) - 6*m(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 - 21. Let r be -2 + v\/(3\/11). Solve -1 = n - c + r, -2*n - 4*c + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372109967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i - 37. Let c be v(-8). Suppose g - 3*s - 19 = -4*g, -s - 13 = -c*g. Suppose -4*d = -3*d - 2, g*d + 377 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -0*n + 7*n. Let q be -3*(n\/(-6) + -1). Let y be 1 - (-2 + (-28)\/(-8)). Sort 2, y, 4, q in descending order.\nAnswer: 4, 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 269 - 42. Suppose -v = -4*m + 2*h - 37, m + 2*h = 61. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1627242 is divided by 901?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 556294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 41*n**2 + 34*n - 19. Determine f(42).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -4*v**3 + 9*v**2. Let i(l) = -l**3 + 2*l**2. Let h = 1490 - 1499. Give h*i(k) + 2*a(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((2*1*sqrt(280))\/(sqrt(32)*5 + sqrt(8)))\/(-1*sqrt(42)\/((2*sqrt(66) + sqrt(66))\/sqrt(11))) + -1.\nAnswer: -1 + 30*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1597 a factor of 1109632856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-14)*(-1008)\/(-6930)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 6*y + 5. Let h = -10 + 17. Let n = h + -13. Give k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1799275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5856, 23425, 52706, 93699, 146404, 210821, 286950?\nAnswer: 374791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*b**3 + 13*b**3 - 57419*b**2 - 1 - 57403*b**2 + 1 + 114822*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 181 - 109. Let g = w + -8. Calculate the greatest common factor of g and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78\/16 - 435\/87?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3027*i**2 + 15*i. Let y(d) = -7155832*d**2 + 35455*d. Let m(f) = 7091*o(f) - 3*y(f). Let b(u) = u**2. Give m(b(g)).\nAnswer: 3039*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35066103 (base 7) to base 12.\nAnswer: -10438a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1132332 - -502?\nAnswer: 1133234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/13, 1\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3 = 3. Suppose -j + h - 14 = -5*j, -5*j - o*h + 19 = 0. Solve -6 = 2*z - 4*w, -3*z + j*w - 2 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of 13*q**8\/168 - q**6\/120 + q**5\/15 + 197*q**3\/6 + 1432*q**2. Find the third derivative of t(r) wrt r.\nAnswer: 1560*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of q**5\/30 + 3*q**4\/4 - 16*q**3\/3 + q**2 + 7*q. Let r be n(-11). What is the greatest common factor of r and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + -1 + 22775\/1140. Let z be (72\/(-76))\/(6\/126). Let a = z + y. Calculate the common denominator of -31\/28 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - (-5 - -3)\/2. Let k be (-16 + o + 0)\/(-2). Solve 0 = t - 4*t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o**2 - o**2 - 21*o + 9*o**2 + 40*o + 14*o + 6 to i*o + s + j*o**2 and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**4)**(2\/89))**44*(k*k**(-1)\/k*k)**5\/(k**(5\/4)\/k*k**(-1)*k) assuming k is positive.\nAnswer: k**(1319\/356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*r + 29 + 653 = a - 170, 242 = -11*r + 2*a - 697 for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -1096*c + 117274. Let k be i(107). Factor 0*y**k + 4\/23*y**4 + 0 + 0*y + 10\/23*y**5 + 0*y**3.\nAnswer: 2*y**4*(5*y + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(143) + (sqrt(143) - ((sqrt(143) - -2*sqrt(143)) + sqrt(143)) - sqrt(143))*-1)\/sqrt(11) - 3*(sqrt(13)*1 + 1)) + -5)**2 + -5.\nAnswer: -32*sqrt(13) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*c = -4398, 3*n - 5*c + 0*c = -6578. Let q = -48303\/22 - n. Find the common denominator of q and 97\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) + -1)*4 - sqrt(2448) - ((sqrt(2448) - (sqrt(2448)*2 + sqrt(2448))) + -5)) + -3 + 1*(sqrt(2448)*-1 - sqrt(2448)) + 4.\nAnswer: 2 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 128, 461, 1006, 1763, 2732, 3913?\n\"Answer: 106*t**2 + 15*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -8*k + 16. Let f be m(2). Solve 20 = -4*j - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1000887*b**3 - 1000891*b**3 + 254 + 502)*(-3*b + 5*b + 0*b) to r + l*b**3 + t*b**4 + y*b**2 + a*b and give a.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -93136756 or -93136755?\nAnswer: -93136755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 4)\/(3\/(-12)). Solve 2*s + 1 = 2*h + 3*s, d = 3*h - 5*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10969188569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-92 + 372 - 136)*(0*x**4 + 2*x**5 + 0*x**4).\nAnswer: 288*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 8929?\nAnswer: 8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18885092, -2, -0.5 in decreasing order.\nAnswer: 18885092, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4944 plus -57436008039?\nAnswer: -57436012983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -107 + 140. Suppose -5*x + w = -2*x. What is the remainder when 39 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20 + 81\/4. Let i = -20 - -19.4. Let d = i + 1. Put d, -5, t in ascending order.\nAnswer: -5, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 25, -22, -115, -260, -463, -730, -1067, -1480?\n\"Answer: -w**3 - 17*w**2 + 11*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 43338355 * 6.\nAnswer: 260030130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/4)\/(14\/37464). Suppose 5*f + 4*f = x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 176.0928498 microseconds to weeks.\nAnswer: 0.0000000002911588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.02*1614.\nAnswer: -1646.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*d + 6 - 6 - 154*d - 264*d + 53*d.\nAnswer: -325*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 10:11 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 503858, 1007776, 1511764, 2015822, 2519950, 3024148, 3528416?\nAnswer: 4032754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 90 - 627\/7. Let r = -1 - 0. Which is the biggest value?  (a) r  (b) -5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 158854 - 464?\nAnswer: 158380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12267*c**6 + 12265*c**2 - c + 1?\nAnswer: -1472040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (5 - 4) + (-20 - -15) + 31 - 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2069747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 take away 10607448816061?\nAnswer: -10607448816051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*((-448)\/(-24))\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(304)*6 - sqrt(19)*2*1) + 1)*1)**2.\nAnswer: 44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 421045.6mg?\nAnswer: 0.0004210456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11669723 to the nearest integer?\nAnswer: 3416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*h**4 - 304*h**2 + 402*h - 46883601 wrt h?\nAnswer: 28*h**3 - 608*h + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 3*p + p)*(7 - 7 - 2*p**3).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 62, 94, 148, 224, 322?\n\"Answer: 11*c**2 - c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 304 and 43276756?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1859111 + 224.1\nAnswer: -1858886.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5, 13, 63, 163, 331?\n\"Answer: 3*p**3 - 2*p**2 + 3*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-180)\/40 - (-5 - (-88315)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 q, and 1 g when four letters picked without replacement from zzqggguqquuquzugzuz?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000011001011110111 - -1001?\nAnswer: -100000011001011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/(-18))\/(322\/1449).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6573911191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.05 - -2.05. Suppose -2*m - 2 = 0, 0*m + 1 = r - 2*m. Let c be (-2)\/r + 33\/(-15). Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -766009?\nAnswer: -766009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/33)\/(l*l**(-2\/9)*l))\/(l**35\/l)**(-25) assuming l is positive.\nAnswer: l**(83968\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 38 = -4*y, -6*c - 47 = -3*c + 4*y. Let v = -1 - c. What is the smallest common multiple of 11 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3201264 divided by 344.\nAnswer: -9306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2*l + 14 = 0, -3*y + 2*l + 10 = 27. Let b(i) = i**3 + 4*i**2 + 2*i + 1. What is b(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 11029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 35*h**4\/6 - 85*h**3\/6 + 65*h**2\/6 - 5*h\/2 = 0. What is h?\nAnswer: 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -21*r**2 + 39*r**2 - 25*r**2 + 6*r - 7. Let s(t) = 8*t**2 - 7*t + 8. Determine 6*s(p) + 7*x(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q. Let h be n(-1). Suppose -6*t + 2*t - h*x = -64, -3*x + 42 = 3*t. Suppose 2 = w + o, 0*w - 4*w + o = -t. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 7 = 3*b - 20, 0 = b + 5*r - 23. Suppose 5*j = 4*j + b. Let g = 42 + 46. Calculate the highest common divisor of g and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 2:14 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 189, 180, 165, 144, 117, 84?\n\"Answer: -3*v**2 + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 216 = -8*z + 5*k, 4*k = 5*z - 373. Calculate the remainder when 679 is divided by z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 - 15. What is the tens digit of 1374\/21 + w\/(-77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1807738979?\nAnswer: 17, 907, 117241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 548437107 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 8:25 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -86191, -344782, -775759, -1379116, -2154847, -3102946?\n\"Answer: d**3 - 86199*d**2 - d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2719 = -340*j + 1021 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 578349.8 grams in tonnes?\nAnswer: 0.5783498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6837, -13454, -19849, -26022, -31973?\n\"Answer: 111*o**2 - 6950*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**4\/5 + 3*s**3 - 63*s**2\/5 + 69*s\/5 - 24\/5.\nAnswer: 3*(s - 1)**3*(s + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dyyd when four letters picked without replacement from yydyyd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.452360194 rounded to four dps?\nAnswer: -0.4524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 - 184\/(-16) - (-7573)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 82796.26 years?\nAnswer: 8279.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from {b: 1, n: 1, y: 2, o: 2, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -25.186 - -74.2\nAnswer: 49.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6295243955 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 1170.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10137968 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11495*i - 11495*i - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 3710.655 to the nearest ten.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -99.2 + 99. Sort n, -1\/4, 9, 2\/9 in descending order.\nAnswer: 9, 2\/9, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, j: 1, p: 5, c: 1, t: 3}. Give prob of picking 1 m and 1 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/120 and 99\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 0.3. Let q = 122.55 - 122. Let z = j - q. What is z rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 360622106 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -286*m + 1434. Calculate q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 113111568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhee when four letters picked without replacement from hhhhhhehhhhhhhheeeh?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -46*t. Let g(p) = -3*p**2 - 2*p**2 - 16*p**2 + 8*p**2 + 27*p**2. Calculate z(g(w)).\nAnswer: -644*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5758952 and 19436463?\nAnswer: 155491704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3365500 (base 7) to base 2.\nAnswer: -1100110011110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/6*(-19200)\/(-5400)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17426 - -17049. Which is smaller: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 107730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154416 is divided by 498.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1168339.41 - 7?\nAnswer: -1168346.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101111 + 100110000?\nAnswer: 110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -5, -25, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/4948 and -57\/14.\nAnswer: 34636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28737*d**2 - 10627 with respect to d.\nAnswer: -57474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99020 is divided by 32937.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(39)*-3 + sqrt(39)))\/sqrt(3).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 9:47 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 554 divide 1167832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 22*i + 312 = 0. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -17, 7, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/102 and -1\/78?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 2*m + 5*m)*(-1 - 4 + 6).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -5, 21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (2 - 4) - 2. Suppose 0*j + j = -c. What is the least common multiple of 3 and (-1)\/(-2) + (-15)\/j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -y, -y + 5*y - 64929*v = -64933*v + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001514 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -6651956.22 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v**(3\/5)\/v*v))**(2\/33)*((v\/(v\/v**(-5))*v)\/v)**(13\/4) assuming v is positive.\nAnswer: v**(-10669\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(-30)*(-2)\/(-1)*(-6)\/(-14)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 634361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11.8 - 14.8. Let v = 37 - 36.954. Let u = v + 0.454. Sort -0.5, a, u, 5\/4 in ascending order.\nAnswer: a, -0.5, u, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 PM and 9:39 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2267 - 16.16.\nAnswer: -2283.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1678 is divided by 144.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62167038 divided by -20722346.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 466 + 295 - 217 + h**2 + 3*h**2 - h**2 as f*h**2 + n + l*h and give n.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 785459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97303061*p + 20828 = -97302897*p for p.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -350369 - 4?\nAnswer: -350373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-26))\/((-31)\/403). Suppose 2*h + 2*t - 4 = 0, w*t - 6*t = 2*h - 8. Solve 4*q - 5*k + 5 = h, -6 = -2*q + k - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (321 + -243)\/((1 + -3)*(-18)\/27)?\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 - -22) + 7 + 3. Suppose 8*u - r*u = -211780. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 20 = -3*f, 3*b = -0*f + 4*f - 5. Let c be 0 + 1 + (-8)\/(-8). Suppose 0 = -2*g, c*y + 3*g + 2 = 4*g. What is the nearest to y in b, 1\/5, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(2\/51)*t)\/(t\/t**(-7)))\/((t*t*t\/((t\/t**(-5))\/t)*t*t)\/t)**12)**(-44) assuming t is positive.\nAnswer: t**(-13552\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + k)*(0*k + 0*k + k + (2*k - 1 + 1)*(6 + 0 - 4) - k + 5*k - 3*k)*(0 + 3 - 5) as x + n*k**2 + c*k and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 2 = 5*r - 6, 3*r = 5*o + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2578 a factor of 64001428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -271*w + 11. Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o - 9. Let i = 45 - 42. Let d(x) be the third derivative of x**4\/24 - 5*x**3\/6 - 6*x**2. Let h = -17 - -12. What is h*d(r) + i*q(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8867909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.05 - -0.08. Which is the second biggest value?  (a) 2  (b) d  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 30, -9, 7, -20, -5 in descending order.\nAnswer: 30, 7, -2, -5, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.817 and 0.6.\nAnswer: 1.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 9, -2, -15, -1, 143, -3.\nAnswer: -15, -3, -2, -1, 2, 9, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4798 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 37352, 74682, 111996, 149288, 186552?\n\"Answer: -y**3 - 2*y**2 + 37343*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55666799?\nAnswer: 137, 406327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*455\/39 + 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**2 - 2 + 1 + f + 3*f - 2. Let n(c) = c**2 - c + 1. What is -3*n(r) - u(r)?\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -46*a**3 + 1759*a**2 + 36736*a + 19. Calculate s(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t - 26*t**3 + 27*t**3 + 12*t - 4*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 80\/(-30)*((-39)\/6 - -2). Suppose -59 = w*z - 13*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 95064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + d + 20 = -3*d, 48*u - 52*u + d + 8*d = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5\/6 + -41\/42. Which is the fourth smallest value?  (a) s  (b) 2\/9  (c) 0.2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1614491694 a multiple of 5504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7077 - -2?\nAnswer: 7101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 90931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 9*v + 3. Let p be a(-9). Solve 2*c + 6 = -p*h + 5*c, 2*c + 6 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**2 + 59*k - 93. Calculate b(28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2665400 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2113 is divided by 760.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1339828 and 18.\nAnswer: 24116904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 4*m + 210 - 219, -3*m = 3*a + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -65916\/1103 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3154 divided by 2367\nAnswer: 3154\/2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/7)\/((-3)\/21). Let l(m) = -m + 12. Let h be l(-8). Solve 0 = -r*j + 6*j + h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 538*h - 1114*h - 902*h + 66*h.\nAnswer: -1412*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 869 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 23580 + -924?\nAnswer: 22757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.62 and -979098017.4.\nAnswer: -979098018.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-10 + (-9 - -34)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*u**3 - 43*u**3 - 11*u**2 + 17*u**3)*(3*u**2 + u**2 + 0*u**2).\nAnswer: -4*u**5 - 44*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/294)\/(1*(-1)\/1*1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 313*t. Let g(h) = 1. Let z(y) = -7*y - 3. Let s(r) = 3*g(r) + z(r). Calculate i(s(f)).\nAnswer: -2191*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2535 by 3.\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**2\/2 - 2013261*o\/2 + 40264420 = 0.\nAnswer: 40, 2013221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 15*u - 11. Let m be s(-16). Let c be 5\/(m\/(-14)) - 2. Let p = 48 + c. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 53*u**2 - 161*u + 387. What is i(2)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 71060409 - 71060440.9999935. Let x = -32 - z. Round x to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20746*f**2 + 13*f + 3.\nAnswer: 41492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*c - 3 - 2*c - 7 + (-1 - 3 + 3)*(-2 - c + 2))*(-2 + c - 2*c + 5) to h*c + p*c**2 + v and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -159 + 0*c**2 + 2*c**2 + 157 in the form a*c + l + f*c**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 364700.\nAnswer: 2, 5, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -220 - -222. Let n(y) = 10*y**2 - y. Is 3 a factor of n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 15\/(-21) + (-2)\/7. Let k(y) = 44*y + 17. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -688321, -688315, -688309, -688303?\nAnswer: -688297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + 6*t - 1. Let v = 2343 - 2338. What is k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*l - 987 = 0, -4*x + 5*l = -x - 2957. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13581, -54305, -122195, -217263, -339521, -488981, -665655?\nAnswer: -869555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 69475 by -5.\nAnswer: -13895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 3*w**4 + 123*w**3 - 1023*w**2 - 60543*w = 0.\nAnswer: -31, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 7 - 31. Suppose -k*m + 2400 = -11*m. Let i = m - -3366\/7. What is the third smallest value in i, 0.3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + -16. Let t(l) be the third derivative of 0 + 0*l**3 + 1\/60*l**5 + 0*l + 0*l**4 - z*l**2 - 1\/60*l**6. Find the third derivative of t(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*a**4 - 26*a**4 + 73*a**4 - a - 335 - 2*a**3 + a**3 - 20*a**4 as d*a**3 + t*a**4 + o*a + j*a**2 + v and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4359998 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: Collect the terms in 25 - 160*s**2 - 10 - 15.\nAnswer: -160*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**4\/9 - 3689*k**3\/3 - 10204696*k**2\/3 + 30625156*k\/9 = 0. What is k?\nAnswer: -5534, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**1\/v*v**(2\/5)\/v*(v\/(v**1\/v))**25)\/((v*v**(-1\/3)*v)**2\/(v\/(v\/(v**(-4)*v))*v*v*v*v**(2\/5))) assuming v is positive.\nAnswer: v**(322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7323920 is divided by 7049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 20116295 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 5*f**2 - 4561*f - 36685. What is d(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -873*t + 138. Is 33 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 45 - 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 1:36 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/5))**46\/(y**(-2)\/y*y*y\/(y**3\/y)) assuming y is positive.\nAnswer: y**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 131333 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + -48*60\/320.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4735 is divided by 182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (270\/(-12))\/(1\/2). Let l be (-2)\/9 + (-730)\/u. Suppose -1 = 5*o - l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 0.03\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 2:13 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/1872 and 5\/1768.\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 76, -0.4, 0.2, -0.2745 in decreasing order.\nAnswer: 76, 0.2, -0.2745, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3*sqrt(432))**2*-2 + sqrt(432) + -4 + (sqrt(432) - (0 + sqrt(432))*-2) + 2 + 3.\nAnswer: -7773 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, v: 2, g: 3, o: 1, t: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -q - 3*a + 8, 2*a - 116 = -5*q. Let j = -19 + q. Let w(v) = 2 + 3*v - 2*v - 4*v. Let o(s) = 3*s - 3. Give j*w(x) + 2*o(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 13*q. What is n(9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from flfl.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36*11\/(-308)*7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**3*m**(6\/5))\/(m**(-1\/2))**14)\/((m\/(m**4*m)*m*m*m*m\/(m\/m**(6\/7)))\/(m**(3\/10)*m**(-4))) assuming m is positive.\nAnswer: m**(107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**2\/3 - 1040*r\/3 + 135200\/3 = 0. What is r?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (3634*t**2 + 16*t**2 - 634*t**2)*(3 - 1 - 6)*(t + t - 4*t) in the form i*t**2 + m + y*t**3 + c*t and give y.\nAnswer: 24128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*m = 107950 - 6475. What is the remainder when m is divided by 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506 a factor of 1321803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.14864 and -0.4.\nAnswer: 2.059456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -4*d - 1. Let y be b(1). What are the prime factors of 15\/(-25) - 318\/y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55804733 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akaarrarrk. What is prob of picking 1 a and 1 k?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = 2*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 391023481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*sqrt(252) + 0)**2 - (sqrt(224)*-2 + sqrt(56))\/(sqrt(72)*5).\nAnswer: 121*sqrt(7)\/5 + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.04  (b) -13  (c) -2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 29 = -4*n, 2*n = 6*n + g + 9. Let d = 166\/1815 + -3\/121. Is n > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuueuueueeuueu. What is prob of sequence eu?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o**3 + 36816*o**2 - 94767156*o + 44798916024 = 0.\nAnswer: 606, 4299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -64, 1, 17 in descending order.\nAnswer: 17, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 194990 and 12580.\nAnswer: 389980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16415 and 37485.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 less than -43\/1013155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5\/4 + 3*d**4\/2 - 7*d**3\/4.\nAnswer: d**3*(d - 1)*(d + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 - 200*i - 3242. Calculate the remainder when z(115) is divided by 201.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 404\/1717*7140\/2240.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -26*o**2 + 26*o**2 - 6 + 4*o + 27*o**2. Let u be p(-3). Solve -10*c + 227 - u + 4*c**2 + 4*c**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11127 is divided by 3681?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-3)*9\/(-6). Let g be (-1 + 1\/j)*1. Suppose 3*k - x - 16 = g, -4*k + 2*x = 5 - 23. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21523 - -5?\nAnswer: -21515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0018436 to 5 dps.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -37*x - 20. Let k be t(-8). Suppose -26*r + 23*r + k = 0. Suppose -7*j + 5*j = -r. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 - 7*s**2 + s + 8. Let k be t(-7). Find the common denominator of 63\/(-12)*4\/30 and (280\/49)\/((-1)\/k).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of v**5\/20 + v**4\/4 + 3*v**2\/2 - 754*v. Let k be (-2)\/(-6) - (-62)\/(-6). Let w be (-5)\/(k\/4)*-2. Determine t(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 188852 or 188851?\nAnswer: 188851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.082466+-3843.5\nAnswer: -3843.417534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1345966710?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a = 6*a + 23*a + 446 + 152 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i - 2. Let c be d(4). Let j be 0\/(c\/2) + 0. Suppose 5*b + j*b - 20 = 0, -3*m - 8 = -2*b. Solve 2*s + 8 = -m*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/140 and 119\/18?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 76\/3 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -33. Let k be v*(0 + 2\/(-2)). Let c be 325\/52 - k\/(-8). Calculate the greatest common factor of c and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 167 (base 15) to base 16.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -26158740 to the nearest one hundred thousand.\nAnswer: -26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -8*(-24)\/(-9408)*2\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.92229 - 7.9. Round l to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9067*y + 4864*y + 1201716 = 2804*y for y.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 28*f**2 + 94*f + 33. Let w be d(-31). Let z = 1 - 3. Put 0.2, w, z, -1\/4 in increasing order.\nAnswer: z, -1\/4, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47474.11l to millilitres.\nAnswer: 47474110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = x - 11. Suppose 4*q + 24 = x*q. Suppose -q + 1 = -p. Sort p, -4, 0 in decreasing order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q - 15. Let a be y(8). Find the first derivative of -11*g**2 - a - 5 + 3*g**2 wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4002 and 3720642.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 39\/(-26) + 10\/4. Sort -4, c, 0.\nAnswer: -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z - z + z)*(1 - 4 + 1) + (-2 + 4 - 1)*(-3*z + 4*z - 4*z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 340.81 + -338. Let f = -0.19 - r. Which is the nearest to f?  (a) 5  (b) 4  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -2*a - 4*f - 7, 21 = 3*a - f. Let c = a + 7. Calculate the remainder when 27 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14392, -12238, -10086, -7936, -5788?\n\"Answer: -q**2 + 2157*q - 16548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0 + 10 = 0. Calculate the lowest common multiple of 3 and ((-15)\/(-6))\/(-1)*l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15403 + -6?\nAnswer: 15397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 145422 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3818 + 30495\/8. Suppose 0 = -t - 2, -4*t - 20454 = 2*r - 3*t. Let h = -184019\/18 - r. Calculate the common denominator of h and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/77, 0, -207, 0.3, 1\/2, 226?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 4.88477 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/5 + 692111*v\/5 + 1384226\/5.\nAnswer: -(v - 692113)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7024 * -566.\nAnswer: 397.5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 9*f = 171. Is f at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 - 55*v**2 - 181*v**2 - 7*v**2.\nAnswer: -244*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*d + 144*d - 133*d + 1368 = 79*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 758.\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 35*n**2 - n + 6. Let y(m) = -34*m**2 + m - 5. Let k(c) = 4*q(c) + 5*y(c). Give k(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189819812029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74 - 78. Let q(d) = -3*d - 1. Calculate the lowest common multiple of 6 and q(w).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -799 (base 14) to base 11.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -141*k - 141. Let y be (7\/14)\/((-2)\/12) - (-7 - -5). Determine p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h**3 - 8*h + 2. Let t = 26 - 31. Let s(g) = 2*g**3 - 7*g + 2. What is t*s(y) + 4*u(y)?\nAnswer: 2*y**3 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40328 (base 11) to base 15.\nAnswer: -12707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 9. Suppose w*g = -3*a + 89, 4*a + a - 127 = -3*g. Suppose i = 5*r - 8 - a, -r = i - 11. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-384)\/(-40))\/(-8))\/((-4)\/10). Let w(m) = -4 + 15 + 7*m - m**n - 5 + 6*m**2. Determine w(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 4*v - 3. Let c be v\/30 + 6\/(-18). Let t = -0.04 + 3.04. What is the nearest to 1 in c, t, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*3834741\nAnswer: -1533896.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 9*r = -25. Let i be (-6)\/(-18)*(-6)\/4*-6. Solve -r*l + 4*d + 28 = 0, 2*l - 2*d = i*d + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2707472 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 4618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = g - 333, 3*u - 7 = -g - 494. Let b be u\/(-32) + 3\/24*-1. Sort b, -3, 2 in decreasing order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17909 or 17928?\nAnswer: 17928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 719357, 719351, 719345, 719339, 719333, 719327?\nAnswer: 719321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -161 - 6?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.4, -7\/5, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1125*q = 703*q - 19682 - 18706 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 2*u - 2*h - 22, -13 = -u + 2*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + -11)\/(2\/(-6)). Let q = 46 - i. Suppose -37 = q*m - 205. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -13*u - 4. Let n(z) = 27*z + 9. What is -4*n(m) - 9*t(m)?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + (1 - (-2 - -1)). Let c(y) = 4*y - 3*y + 4 + y**3 - 2 - 1 - 4*y**g. Calculate c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 713.01 - 713. Let u = -81\/5 - -223\/15. What is the second biggest value in x, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 567  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 25, -2, 0.33, -0.3, 1128?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6494 is divided by 1295?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 2. Suppose 0 = 2*r + 4*o - 18, 3*o - 4 = -r - m*r. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 3*s + 3, 3*z - 2 - 3 = 5*s. Suppose z = l - 14 - 49. Let o(v) = 12*v - 3. Let n be o(1). Calculate the highest common factor of n and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5227 (base 10) to base 7.\nAnswer: 21145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nrnnnnrnrrnnrnnnnn. Give prob of picking 3 n.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -87 - -91.5. Let h = l - 4.2. Which is the closest to 0?  (a) 4  (b) h  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58377363?\nAnswer: 3, 11, 227, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**3 + 3 + 2*t**3 - t**2 + 4*t**2 + 0*t**3 - 3*t**3 to the form g*t**2 + x + o*t**3 + m*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 243 - 239. Suppose 294 = 2*c + h*i, 3*i - 576 = -4*c + i. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*y = -7, 3*u = -2*y + 2 - 9. Let v = 0.6 + -1. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/12 and -1\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 r when three letters picked without replacement from zzfzzfzrzfrzr.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 4*t = 40. What are the prime factors of ((-182)\/35)\/((-2)\/t)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of 103\/12*c**4 + 19*c**2 + 31*c + 0*c**3 + 2. Find the first derivative of j(k) wrt k.\nAnswer: 206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 11:04 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2290 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/17)\/(d*d*d**(7\/3)))\/((((d\/d**(-10))\/d*d*d)\/d)\/d**13))**(1\/57) assuming d is positive.\nAnswer: d**(-125\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((2 + sqrt(343) + 0 - sqrt(343))**2 - (-2*sqrt(343)*-3)**2) + 5*(2 + -1*sqrt(343))).\nAnswer: -61670 - 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/12 and 97\/439416?\nAnswer: 439416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -4*g + 96. Suppose -5*r + 2 = 2*n, 0*r + g = -2*r - 4*n. Factor 4*y + 4*y**3 - 3*y**3 - 3*y**r - y**2 + 0*y**2.\nAnswer: y*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -8\/171  (c) 7  (d) -1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -12*((-9)\/(-4) + 0 - 3). What is the hundreds digit of (-80)\/(-3)*((f - -15) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.77292 and -4?\nAnswer: 3.09168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, 0.5, -5, -16\/9, 6\/23?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1419 + 1415. What is the fourth smallest value in -3\/7, o, 4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -121 - -261. Let p = v - 69. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 7 + z**2 - 5*z**3 + 3*z**3. Let l be i(0). Let x be 2\/(-8) - l\/4. Which is the nearest to -2\/7?  (a) x  (b) 0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/105 > -13680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -x**3\/3 + x**2\/2 + 6*x - 4. List the prime factors of w(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*-2*sqrt(891)*4)**2*-1*-5.\nAnswer: 28512000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.64 - 0.04. Let i = -0.1148 + 0.0607. Let d = 0.2541 + i. Put d, 5, s in increasing order.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 95 + -151. Let b = -33 - n. Suppose 5*t - 43 = -2*a, 0*t - t = a - b. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3112097113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, p: 4}. What is prob of picking 2 v and 2 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 1 + 2 + 4 + sqrt(612))*3)**2.\nAnswer: 324*sqrt(17) + 5589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 48\/(-64) + 17\/20. Suppose -2*k - 9 = w, -2*w = -w - 4*k - 15. What is the nearest to w in v, 1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 1, 11.8, 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.037, 9\/2, -238?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 - 0.4. Let c = -98 + 128.8. Let o = c + -31. What is the closest to o in -3, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19902 and 73139850?\nAnswer: 73139850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*l - 30 = 0, 0 = 3*n + 2*l - 3. Let z be (8\/(-2690))\/(6\/15). Sort z, 0.4, n in ascending order.\nAnswer: n, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66)\/154*(-4)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 3*t**2 + 2*t - 4. Let m be a(3). Suppose 539 - 91 = m*n. Calculate the greatest common divisor of n and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - 0) + (0 - -5). Suppose 3 = -x + 2*x. Let a be x*24\/(y + 0). Solve 14 = 4*m + 2*z, -4*z = -5*m + a + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 PM and 10:30 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 169091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2125.828498 rounded to 0 dps?\nAnswer: -2126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 - 0\/(-10) - (-1 + -2) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 21*l**5\/10 - 17*l**4\/4 + l**3\/2 + 3*l**2 + 4*l. Solve q(w) = 0 for w.\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(4\/9)\/s*s**6*((s**(-2\/7)\/s)\/s*s)\/s**(2\/9) assuming s is positive.\nAnswer: s**(248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/26 and 3\/(-2)*(-31)\/(-15)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 82826.\nAnswer: 248478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z - 20*z - 34 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -17*y + 63, -5*z = 18416*y - 18420*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 4, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*k + 81555 = 0, 20792 = -2*p + 4*k + 183838. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + w = 43, 5*b - 2202*w + 2205*w = 129 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 44 = 4*q - 64, 25 = y + 5*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 84378535 to the nearest integer?\nAnswer: 9186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/5  (b) 2\/11  (c) -1\/2  (d) -0.4  (e) -2\/9  (f) -6  (g) -1\/197\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 424670.\nAnswer: 1\/212335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200*r + 405*r - 9913 = -233. Solve -3*o = 2*w - r + 9, -3*o = -5*w - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -55, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.3, -53, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 20 = -5*c. Let v = c - 4. Let p = -3 - -6. Are v and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**3 + 4*h**2 + 2*h**3 + 94*h**2 - 11*h**2 + 137*h**2 - 1 - 278*h wrt h?\nAnswer: 6*h + 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-4000)*-20*((-15)\/(-459))\/(12\/(-18)).\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -5*j - 5. Suppose 2*w = -3*a - j, -5*a = -w - w + 25. Suppose w = -2*n + 26 + 34. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/4 and -23\/2147?\nAnswer: 8588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 53, 315, 781, 1445, 2301, 3343?\n\"Answer: -y**3 + 108*y**2 - 55*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4597485, 9195035, 13792585, 18390135?\n\"Answer: 4597550*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*p - 42*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 21.44 and 129085.1?\nAnswer: 129063.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 0 - (-18 + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*sqrt(960)*2)\/((-1*sqrt(80) + sqrt(80) - sqrt(80))*4).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/405 and -5\/3.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -45*k**2 - 29*k + 9. Let w(v) = 90*v**2 + 58*v - 21. Let i(y) = 7*g(y) + 3*w(y). Find the second derivative of i(a) wrt a.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.6 + 19.4. Put g, 35, -12 in decreasing order.\nAnswer: 35, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 18 - 61 + 28 - 664*o**2.\nAnswer: -664*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-54)\/10 - ((-102)\/30 + 4). Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1222*h**5 - h**4*x - 4*h*x - x - 63 wrt h.\nAnswer: 24440*h**3 - 12*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - d - 30 = -5*d, -23 = -h - 5*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2754 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pue when three letters picked without replacement from upe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -909 and 0.3.\nAnswer: -272.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11374.18158 - 11374. What is k rounded to 3 dps?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**13*r**(-9))**(-28)\/((r\/(r*r**(-1))*r)\/(r\/(r\/(r*r*(r*r*r**(-3))\/r)*r))*(r*r**(-9))\/((r*r**(6\/5)*r)\/r)) assuming r is positive.\nAnswer: r**(-524\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (72 - 15 + 176)*(35*g**3 + 36*g**3 + 1 + 2*g**2 - 59*g**3).\nAnswer: 2796*g**3 + 466*g**2 + 233","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -3*j - 6, 5*c + 3726*j + 18 = 3717*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -37, -1, 16\/3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26*f*k**3*n + 4*f*k*n**2 - 2*k**3*n - 18*k*n**2 - 2*k wrt f.\nAnswer: 26*k**3*n + 4*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 bigger than 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f - 8 - 4*f + 3. Let w be j(-4). Suppose 3*u + 0*u = -5*b + 57, -3*b + 5*u = -w. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 + -26. Suppose -r = 2*c + 10, -4*r = 4*c - 0*c + 28. What is the nearest to h in 0.3, 2\/13, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.571 greater than or equal to -16543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1*sqrt(192))**2 - sqrt(192).\nAnswer: 40*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 179103*i**2*m - 8*i*m + i - 97*m - 1 wrt i.\nAnswer: 358206*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 6*m - 12. Let h(c) = 3*c - 6. Let k(o) = -5*h(o) + 3*u(o). Let p(r) = 94 - r**3 - 54 + 4*r**2 + 4*r - 52. Let f be p(4). Determine k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/(-2))\/((-45)\/72*4))\/(-4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-7))\/((-10)\/(-595)). Let c(h) = h**2 + 26*h - 5. What are the prime factors of c(b)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -299 or -301?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w - 32. Let s = 50 - 31. Calculate the smallest common multiple of j(s) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1270560 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1 - 3) + -1)*-1. Suppose u*s + 17 - 32 = 0. Suppose -7500000 = -0*t - s*t. What is t rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6, -84, -320, -774, -1518, -2624, -4164, -6210?\n\"Answer: -12*l**3 - l**2 - 3*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 27*v**2 - 41*v + 5. Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3565560 rounded to the nearest 10000?\nAnswer: 3570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/348 and 127\/96.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 53\/13 or 3?\nAnswer: 53\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 2 + 5)*(-2 - 4*z + 2) in the form w*z + g and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -65\/3 + 21. Let k be 0*(2 - (2 + 5\/5)). What is the nearest to k in 1\/3, -1, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3*-6*-2 - (-165)\/(-44)\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 534 - 21331?\nAnswer: -20353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603716?\nAnswer: 2, 150929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/2 + -2)\/(9\/84). Let u = 28 - h. Suppose 0*z + 3*z + 2*x - 52 = u, -x - 37 = -3*z. What is the highest common factor of 126 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2892\/144 - 20) + (-5)\/(-120)*-794)\/(-5).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2180788 a multiple of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 203364?\nAnswer: 203364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 - 6*z + 10. Let x be b(5). Solve -x = 4*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*h + 175 - 283 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 137037060\nAnswer: -13703706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -2\/7  (c) 2\/30691  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 53489 by -857.\nAnswer: -53489\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 71748\/3420 + 6 + -27?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -5*z + 99. Suppose 2*l = -4*k - z, 11 + 35 = -5*k - 4*l. List the prime factors of 50\/8 + k\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 + 6*v + 10. Let z be n(-6). Suppose z - 14 = -2*b. Suppose 0 = a + 5*h - 704, a + 0*h - b*h = 711. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170934267 divided by 608307?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -a - 7, 8*w - 10*w + 4 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 18437, 21160, 25687, 32018, 40153?\n\"Answer: 902*q**2 + 17*q + 17518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 757214413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**3\/6 - 3*o**2 + o. Let g be z(-6). Suppose c - 7 = -g*c - 4*s, 2*c = 5*s - 12. Which is greater: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7.2 - 9. Let r = 3.924 + -3.824. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*o**4 + 700*o**3 - 450*o**2 - 40*o + 24 = 0.\nAnswer: -3\/13, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 431158 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 1:43 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004154093 rounded to seven decimal places?\nAnswer: 0.0000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54211, -108410, -162609, -216808, -271007, -325206?\nAnswer: -379405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91180 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 214 = -171. Suppose 0*o - i = -o. What is the remainder when o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 549420129 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*i + 280*i + 39*i.\nAnswer: 308*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26928 by 72.\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -359*l + 359*l - 28 + 2*l**3 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -0*x - x + 5*v, 51 = 3*x + 3*v. Let p be (3\/(-6))\/(1\/(-8)). Suppose p*l - 25 = z, -2*z + x = l - 0*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*m - 202*m + 204 = 0. Let z = 28.9 - 5.9. What is the closest to 0.1 in 1\/4, z, -3\/5, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by -7*((-96)\/21)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -5 + 23, 5 = 5*p + 5*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-4) + 18\/8. Suppose 2*p + p - 9 = 0. Let u(v) = -v**2 + v**p + 3*v**2 - 2*v**2. Determine u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 11) to base 10\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -318 - -635. Let c = s + -320. What is the second biggest value in -1, c, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(242) - (sqrt(242) - (0 + sqrt(242)) - sqrt(242))) - (2 + sqrt(242) + -1))*5*-6*5)**2.\nAnswer: 4455000*sqrt(2) + 441067500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 67 = -s, -5*i + s - 21 - 56 = 0. Suppose 96 = -3*a + 2*n, 0*a + n = a + 33. Let y = i - a. Calculate the highest common factor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/10 + (-156)\/(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -109 + 152. Let n = 43.00138 - a. What is n rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -5*i + 24, -4*l - i = -5 - 7. Let k be (10\/15 + l)\/((-2)\/(-3)). Does 5 divide ((4\/1)\/k)\/((-3)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -50466185*w - 31889606 wrt w?\nAnswer: -50466185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from {j: 4, m: 1, t: 3, s: 1, x: 1, l: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 - -33. Suppose r = -2*r - x. Let c(o) = o**3 + 7*o**2 + 7*o + 9. Determine c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -25*j**3 - j**2 + 46*j + 48. Give p(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2945 greater than or equal to 2.459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + a + 16 = 0, -2*a = -3*w - 0*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -37215049 or -2?\nAnswer: -37215049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 287\/4 + -72. Let y be 2\/12*3\/(-2). What is the closest to h in y, 3, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - p - 64. Let g(i) = -5*i**2 + 24*i + 7. Let h be g(5). Let k = h - p. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 + a + 1. Let z(i) = -45*i**2 + 20*i + 20. Give 20*j(y) - z(y).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65.7 + -72. Let k = 9.4 + g. Let p = k - 2.1. Which is smaller: p or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, y: 3, k: 7}. What is prob of picking 3 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1935 minus 33191?\nAnswer: -35126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75*y**5 + 129*y**5 - 70*y**5 - 34*y**2 wrt y.\nAnswer: -960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 1.3. Suppose -1679 = -21*y - 1700. Let b = 1\/117 + 463\/585. What is the second biggest value in y, p, 0.2, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*u + 185, -4*c + 207 + 100 = 5*u. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**3 - 7824*z**2 - 15660*z - 7832.\nAnswer: 4*(z - 1958)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/17, 1\/3, 0.3, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2160))\/(sqrt(125) + (1*sqrt(125) - sqrt(125))) + (2*sqrt(144))\/(sqrt(12)\/sqrt(4)*2).\nAnswer: 32*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 61  (b) 2\/3  (c) 0.2  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/1306 and 73\/16?\nAnswer: 10448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -5 + 3 + -5 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6261782 and 2992356.\nAnswer: 338136228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 1 - 79 + 16)*(1 - r - 1).\nAnswer: 87*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j. Let x(n) be the second derivative of 3*n**4\/8 - n**3\/6 - 5*n**2\/2 - 3*n. Let b(s) be the first derivative of x(s). What is -2*b(o) - 10*h(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and -1688.33798?\nAnswer: 1687.93798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 2*c - 5. Let s be r(-5). Suppose 0 = 2*h + 3*h + s. What is the smallest common multiple of (h\/2)\/((-1)\/22) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130633?\nAnswer: 130633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 113*a - 1697. Give q(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**5\/4 - 957*h**4\/4 + 77745*h**3\/4 - 227523*h**2\/4 + 56406*h - 18723 = 0.\nAnswer: 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-30 - (10 + -24)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from bnrbrnnbnnbr?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*o**3 - 368*o**2 + 27715*o.\nAnswer: -54*o - 736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2368463.\nAnswer: 2368463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -21181385 - -5?\nAnswer: -21181380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.00903 + 54.06903. What is u rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 373 and 10071.\nAnswer: 10071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 131, 230, 329, 428, 527, 626?\n\"Answer: 99*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24 * 0.1.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 66889731 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q = -10. Let b(x) be the first derivative of -5\/3*x**3 + q + x**4 + 0*x + 1\/2*x**2. Suppose b(r) = 0. What is r?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 4*r - 0*r - 35, -15 = 3*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m - m - 5*m)*(-1 + 2 + 9)*(10*m**3 - 8*m**3 + 11*m**3).\nAnswer: -260*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1, -4, -9, -14, -19, -24?\n\"Answer: -5*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -43710, 0, 1, 9, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -3.26?\nAnswer: 1.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 5*o - 6*a + 8*a, -4*o = -5*a + 5. Sort -2, o, -12 in ascending order.\nAnswer: -12, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 188455 - 98280. What are the prime factors of x?\nAnswer: 5, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -75, -141, -221, -321, -447, -605?\n\"Answer: -k**3 - k**2 - 56*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o*o**(4\/5)*o**7*o*o)\/(o\/o**(2\/3))**(-8))\/(o**(2\/5)*o\/((o*o*o**(2\/7))\/o))**14 assuming o is positive.\nAnswer: o**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t. Let q(x) = -5*x - 23. Let h be q(-6). Suppose -2632 = -h*r + 7602. Let o(a) = r - 1462 + a**2. Determine m(o(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7389 divided by -18.\nAnswer: -821\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 - -23. Let s be 1 + ((-2004)\/(-858) - 3) + 22\/(-143). What is the nearest to 0.1 in 3\/8, x, 2\/13, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-4 + ((-2 + sqrt(405) - sqrt(405)) + sqrt(405) - sqrt(405))*-4 + 4 - 1*(-1 + sqrt(405))*5*6))**2.\nAnswer: -20520*sqrt(5) + 365944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -5 - (34\/(-14) + (-80)\/140). Let f(l) be the third derivative of 0*l - 7\/90*l**5 + c - 8\/3*l**4 + 28\/9*l**3 + 16*l**2. What is u in f(u) = 0?\nAnswer: -14, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*h**2*v**4 + h**2*v**2 + 179*h**2 + 16*h*v**4 wrt v.\nAnswer: -96*h**2*v + 384*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*v - 270. Let s = v - -867\/10. Find the common denominator of s and 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five quarters of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/120*76\/(-57) + (171\/15 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g, 1 h, and 1 s when four letters picked without replacement from {s: 1, h: 1, g: 9}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*l + 205951 + 221849. What is l rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-14)*(-11 + 1). Let a(o) = 8*o - 2 + 8 + 15*o - 7*o**2 + q*o**2. Is a(10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*z - 6 = -31*z. Suppose 4*t - 4*f - 12 = 0, 0 = -3*t - z*f + 1 - 2. Suppose -4*s + 9 - 1 = 0. What is the lowest common multiple of t and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8205, -8220, -8249, -8298, -8373, -8480, -8625, -8814?\nAnswer: -9053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1360\/(-76) - -14) + (24 - 20)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -1. Let d = -40\/9 + 458\/99. What is the closest to 4\/3 in 1\/4, t, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f + 2. Let i be b(-3). Suppose w = -0*w - 7. Let c = w + i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.7 from -3.560179246566.\nAnswer: -5.260179246566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 94586937 and -0.288.\nAnswer: 94586936.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 64*p + 12603. What are the prime factors of n(0)?\nAnswer: 3, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73922 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -153631, -153598, -153565, -153532, -153499?\nAnswer: -153466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 316 + -94. Suppose -2*d + 102 = -l. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**2 - 2204*x - 607202 = 0. Calculate x.\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, q: 2}. What is prob of sequence qu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 177027.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -155990, -155989, -155986, -155981, -155974?\n\"Answer: z**2 - 2*z - 155989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*k**2 + 3*k**2 + 20*k**2 - 51*k**2 - 23*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqq. What is prob of picking 1 e and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/3)\/(2\/(-6)). Suppose x*v + 3*v - 49 = -b, -4*v + 4*b = -44. What is the highest common factor of v and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 5*k - 16 = 21, -k = 3*n + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (94 - (20 - (32 + -12 + 2 + -11))) + -8.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15080 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16.96 + -6.86. Let d = 3734.022 + -3744. Let q = r + d. What is q rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - 10. Let f be p(-12). Let l(q) = 8 - 4*q + f + 5*q. Let m be l(-5). Solve -g + 7 = -3*g + m*n, 0 = -4*n + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(1539) + -4)*2 + sqrt(1539))**2 - -5*(sqrt(1539)*2 - sqrt(1539))*-4)*3.\nAnswer: -1998*sqrt(19) + 41796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = l - 37. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 4*v + 1. Let q be (0 - 0) + (-5 - -2). Let n be 6\/(4\/((-8)\/q)). Let f be y(n). Solve 13 = o - 4*x, -3*x - f + 5 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2436 divided by 5590\nAnswer: -1218\/2795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4735298.0932 - 4736123. Let q = z + 757.9. Let o = q + 67. Round o to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 39*t - 20. Let w(z) = -2*z - 1. Let q(c) = b(c) - 6*w(c). Let o be q(2). What is the greatest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2))**(2\/17)\/(j**(-1)\/(((j**7\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(91\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 0, -7*d + 22 = -5*d - 3*h. Let g(n) = -n**3 + 15*n**2 - 13*n - 18. What is the units digit of g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -550*m. Let b(y) = -438 + 148 + 151 + y**2 + 139. Determine l(b(r)).\nAnswer: -550*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19659042 and 51181299.\nAnswer: 2968515342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 13*z + 369*z**2 + 364*z**2 + 369*z**2 - 1104*z**2. Let a(n) = -35*n. Give a(g(v)).\nAnswer: 70*v**2 - 455*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 48 = -15. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = 0, 2*x + 0*g + 85 = -5*g. Find the common denominator of 37\/45 and (102\/x)\/(-1) + 51 + -54.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 28*n**2. Let j(b) = 3*b**3 - b**2 + 8*b + 27. Let o be j(12). Let h(r) = -r + o*r**2 - 5165*r**2 + r. Determine h(s(f)).\nAnswer: -1568*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -14*b - 1. Let a(s) = 13*s**2. Give p(a(k)).\nAnswer: -182*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165607 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*c + 1290 - 3619. Solve 27*d - 29 = -c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 15*m - 678 = -4*h, 348 = 2*h + 2*m. What is the highest common divisor of 387 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -11*d**5\/2 + d**4\/3 - d**3\/6 - 6*d**2 - 7*d. Let x be p(16). Let j = -209564 - x. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 3 + 1. Let c(w) = 7*w + 1. Let d be c(j). What is the greatest common factor of 120 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -173*s - 164 - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 7:51 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence duu when three letters picked without replacement from urduhhu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + 20081?\nAnswer: 20078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18\/5*j + 8\/5 - 2\/5*j**3 + 12\/5*j**2.\nAnswer: -2*(j - 4)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(4\/5)*(((t*t*t**(-10))\/t)\/t)\/t*(t\/(t\/(t**(-6\/11)\/t)))\/(t**(-9)\/t) assuming t is positive.\nAnswer: t**(-96\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k - 31. Suppose 39 = 3*l + 6. Let h be i(l). Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.012977 - -6.\nAnswer: 6.012977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2142, -2144, -2146, -2148?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63 + -116. Let x = -51 - n. Let k = x - 5. What is the second smallest value in -0.3, 11, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of d**6\/120 - d**5\/60 - d**4\/8 - 5*d**3\/6 - 8*d**2. What is the units digit of f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 29*t - 208. Let n be c(7). Suppose 2*a - 5*a = -114. Sort -3, n, -4, a in increasing order.\nAnswer: n, -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 112, 227, 344, 463?\n\"Answer: y**2 + 112*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**3 - d**2 + 2*d + 3. Let v be c(3). Let p be 1\/1 - v\/51. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -158, -157, -154, -149, -142, -133?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 9*n + 60. Let t be p(0). Suppose 0 = -2*f + 5*z + 25, 6 = 4*z + 2. What is the greatest common factor of t and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10029163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 182689310 to the nearest integer?\nAnswer: 13516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -71*u - 491. Let a be o(-7). Suppose -t + 6 = 4*k, 5*t + 0 = -10. Let v(r) = -k - 2 + 0 + r. Calculate v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + 98. Let g be (18\/(-30))\/((-2)\/90). Let y = g + 15. Calculate the highest common factor of t and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 12*h + 4 = 9*h, 5*h = q. Solve 527*z - q = 532*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 1 = -4. Suppose -2*h + 3*h = -5*m + 20, -w*h = 2*m - 8. Let k(b) = 2*b**2 - 3*b - 2. What are the prime factors of k(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4941 + -4946.86. What is p rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, e: 2}. Give prob of picking 2 u and 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 9 = -g. Let a(y) = 2 - g*y**2 + 2*y**2 + 2. What is a(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vuwv when four letters picked without replacement from uuuviiuuuuuuuuuuwuv?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -237 (base 10) to base 2.\nAnswer: -11101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n, 4*s - 3*n = -5*n - 36. Let l(t) = 7*t**2. Let j(x) = -3*x**2. Calculate s*j(i) - 4*l(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4518 is divided by 1100?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4\/5*(-5)\/(-30)*15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 34 + 6 = -4*w, 4*m - w - 14 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-126)\/4)*(-47)\/((-2820)\/(-90))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {t: 1, m: 3, b: 2, h: 9, s: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/27 + -19\/54. Let u = -7 - -6.94. Let s = -4.94 + u. Which is the third biggest value?  (a) -1  (b) z  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -6*(sqrt(7) + -3) + 2.\nAnswer: -6*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*w - 66*w - 36 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 137 - 118. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 0*d**2 + d**2 + d**3 + 13 + 5*d - 6*d**2 - 17. Let p be l(4). Suppose 2*n = -p*n. Solve 4*m + 8 = -n*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20720 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((588\/1120)\/((-60)\/(-96)))\/(6\/(-10)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 21909, 21887, 21827, 21711, 21521?\n\"Answer: -3*d**3 - d**2 + 2*d + 21911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of -7*d**2 + 0*d**4 - 3\/4*d**5 + 0 + 7*d + 0*d**3. Find the first derivative of o(s) wrt s.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -39*i**2 - 136*i + 82. Let q be u(-4). Determine l, given that -1\/4*l + 1\/2 - 1\/4*l**q = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*x + 21*x + 32*x + 2*x**3 - 89*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-47)\/h)\/((h*h*h\/(h**(-28)\/h*h))\/h)*((h**19*h)\/h)**(-3\/13) assuming h is positive.\nAnswer: h**(-1071\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48 by 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p - 2*p + p + 0*p to m + u*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1829661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) - 1*sqrt(343)*-2)**2 - (2 + 2*sqrt(343))**2.\nAnswer: -56*sqrt(7) + 1711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-5 + (sqrt(847) - (sqrt(847) + 3)**2) - (6*(sqrt(847) + 1 - sqrt(847))**2 - sqrt(847))))*-3.\nAnswer: 132*sqrt(7) + 2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*l**3 + 22507344*l**2 - 6430668*l.\nAnswer: -3*l*(l - 1071778)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 28 = -7. Let o = -0.02 + -1.98. Let w = -3 - o. What is the nearest to w in i, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95 - -88.81. What is the third biggest value in c, -4, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12000456 (base 7) in base 9?\nAnswer: 1883703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 302965524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2. Let x = 1157\/6 - 192. Let g(q) be the second derivative of 0*q**2 - q + 0 + x*q**3. Calculate g(j(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 1\/3  (c) 15  (d) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1661871 by 553957.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14938557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - v**2 - 8*v + 2. Let n(a) = -a**3 - a**2 - 8*a + 3. What is 3*k(b) - 2*n(b)?\nAnswer: -b**3 - b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 d, and 1 n when three letters picked without replacement from jnnwffqqdddw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269016.\nAnswer: 2, 3, 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1226*j**2 + 2431*j**2 - 1200*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + r - 1. Let g be x(1). Suppose 7 = a + g. Suppose -10*l + 16*l - 18 = 0. What is the greatest common divisor of a and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((-190)\/10835) - (-8)\/(-152). Solve 0 = h*s - 110*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of w**6\/3 - w**5\/60 - 9*w**3 - 81*w**2. Differentiate t(d) with respect to d.\nAnswer: 120*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 157 and -0.11?\nAnswer: -17.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of f**3\/3 + 1. Let y be s(2). Solve 8 = -3*j - 4*i, j + 0 = y*i - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 40*q - 1. Let a be n(2). Suppose -3*v + a = -92. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 963*l + 693. Let t(w) = 626*w + 462. Let b(n) = 20*t(n) - 13*y(n). Let m(k) = 3*k**2 - 4*k**2 - k**2. Determine b(m(x)).\nAnswer: -2*x**2 + 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1864?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-12))\/(7*16\/840).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11377 + -11377.057334. Round o to 4 decimal places.\nAnswer: -0.0573","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.38 * -0.0557.\nAnswer: -0.021166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-5) - (-1 - 0). List the prime factors of (-3)\/(-2)*(3 + p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(441)\/((sqrt(108)*2 - sqrt(108))\/sqrt(12)))\/((-3*sqrt(70))\/sqrt(10)*6) + 0 + -2.\nAnswer: -2 - sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/7 + 67759*s\/7.\nAnswer: s*(s + 67759)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 12. Let a be (-1*m)\/((-3)\/4). Differentiate 2 + a*w - 8*w - w**2 wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2*n = 226, 0 = m - 3*n - 0*n + 87. Let z = -48 - m. Calculate the greatest common factor of z and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*q - 6*q - 16*q + 2*q**3 - 3*q - 9*q**2 - 37*q**2.\nAnswer: 2*q**3 - 46*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 636?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + i**2 - i - 16. Suppose 25*q + 19*q = 12*q. Determine b(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2988 + 2988 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4001398)\/(-3) - (-2)\/3. Let g(d) = -d**3 - d**2 + 2*d + 133800. Let i be g(0). Let u = i - t. Round u to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 6 in decreasing order.\nAnswer: 6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of u**8\/30240 - u**7\/3780 + u**6\/1620 - 7*u**4\/24 - 2*u**2. Let h(l) be the second derivative of x(l). Factor h(t).\nAnswer: 2*t*(t - 2)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 77 + -42. Suppose 0 = -0*q + 5*q + d. Let t = -5 - q. Solve -t*v - 6 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0.03, -1\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*y - 144*y + 8*y**2 + 9*y**2 - 32*y - 25*y**2 + 6*y**2.\nAnswer: -2*y**2 - 273*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41*27\/(-36)*(-18)\/12*56\/(-63).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2.073599 days?\nAnswer: 49.766376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7142\/1383 + 78\/461. Factor -w*d + 10\/3 + 2\/15*d**4 + 16\/15*d**3 + 4\/5*d**2.\nAnswer: 2*(d - 1)**2*(d + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2521a - -8?\nAnswer: 25226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -2*y**3\/7 + 8*y**2\/7 - 6*y\/7 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 153 + 7. Let b = -105 + f. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 8:22 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-3))\/(5448\/1362)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, -11, -4, -0.374, 4 in descending order.\nAnswer: 4, 2\/3, -0.374, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -138, 1 in descending order.\nAnswer: 1, -2, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - (-11)\/5 - (-48)\/10. Suppose 51 = b*w + 11. Let x(f) be the third derivative of -f**5\/60 + f**4\/3 - f**3\/2 - f**2. Calculate x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 157.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 165 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of -o**6\/30 - 87*o**5\/20 - 255*o**2 + 851*o. Differentiate t(h) wrt h.\nAnswer: -4*h**3 - 261*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 57.98 - 4.98. Which is the third smallest value?  (a) 1  (b) -3\/8  (c) 2\/7  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from {r: 1, n: 2, s: 5, y: 2, k: 2, d: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7077360*k + 3538765*k + 3538609*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = m + 80, 2*p - 5*m - 22 = p. Let d = 4898 + -2456. Suppose p - d = 2*y. What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 32*s**2 - s - 1. Suppose 0 = 4*f + 2*q + 170, -62 - 153 = 5*f + 3*q. Calculate the common denominator of t(-1) and (22\/f)\/(6\/(-135)) - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 566 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 - 29*t - 30. Calculate z(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10394688077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i - 6. Let p be 0\/3*1 - -1. Let a = 6 - p. Is 2 a factor of k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*v + 8 = -85*v. Suppose 2*i + 2*i = 3*j - 5026, 5*i - 6660 = -v*j. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 202*(-5)\/30 - (-3 + (-119)\/(-51)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 3*j = 2, -38 = 273*s - 282*s + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/24*3*(-9)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10559 + -10563. Let b be (1\/6)\/((-2)\/(-8)). What is the closest to 0.1 in b, m, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2e170 (base 16) in base 14?\nAnswer: 4cb28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/26 - ((-3731275)\/325 + 22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 648\/270*(50\/(-15))\/(-2). Solve -5*h + r*j = -23, -26*h - 5*j = -21*h - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -18518.93754.\nAnswer: -18520.93754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 35*q. Let z(t) = -7*t. Determine h(z(u)).\nAnswer: -245*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 2)\/(3\/(-5)). Suppose 2*s = c*s - 9. Suppose 0 = -2*b + s*b - 4. Solve -b*y = -5 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9984792 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1269 = -3*l + 1317. Suppose 7*t + 6 = 9*t. Is (-4 + t)\/((-2)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -1 - 5*t + 3*t**2 - t**3 - 14*t**2 - 10. Let b be j(-11). Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7715000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*f = -34*f - 141. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*b + 12 + 17 - 28.\nAnswer: 13*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*g + 4*a, -6*g = -g - a - 14. Suppose -6 = -g*m + 3. Solve 2*c + 8 = m*y + y, 4 = 2*y + 5*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + -36 - (5 - -4 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + h + 3, 4*l = -l - 3*h + 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -149*o**2 + 10 - o - 11 - 1 - 9 - 3 wrt o?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 51 and 72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 252704856 divided by 30579\nAnswer: 8264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (37 + -13)\/(4\/(-6)). List the prime factors of -1*(-4)\/(-8)*m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 2*h = -3*h. Let m = -1 + -1. Let n = 543\/20 + -107\/4. Which is the closest to 1\/3?  (a) m  (b) h  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 0.5  (b) -13  (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.334 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3313 - 70?\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 9*w + 470, -w + 6 + 16 = a - 30 - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53250\/(-3550)*((-8)\/(-265))\/4?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 279031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 600\/11  (b) 2  (c) 1\/3  (d) 4  (e) -4  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9702483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*(-5)\/(-10))\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6972662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {m: 7, l: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2778 + 5266 - 2634 + 5*u. Calculate g(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/3))**(-35)*(j**3)**(-1\/9))**(-50) assuming j is positive.\nAnswer: j**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = -8*v + 177. Suppose 0 = -v*q - 0*q + 9024. List the prime factors of q.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i + 22*i**3 - 4 - 2*i + 4.\nAnswer: 22*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3867*t + 3853. Give b(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 3. Let r = m + 1.4. What is the smallest value in r, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 90431 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1966034 + -2214874.95?\nAnswer: -4180908.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 12 = 2*x, -13 = -3*x - 5*q + 11. Let r = -31 - 133. Let o = r - -174. What is the remainder when o is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.4194 and 0.51.\nAnswer: -0.723894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10 + 24*u**3 + 14 + 11 - 28*u - 13 + 552*u - u**2 wrt u.\nAnswer: 144*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(1\/3)*d)**4\/(d**(-2\/7)\/d)**(-15))**(10\/3))**(-1\/60) assuming d is positive.\nAnswer: d**(293\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (11 + -22) - 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 6. Suppose 4*j - 7 - 137 = 4*y, y + 160 = t*j. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i - 1. Let q be n(2). Suppose 0 = -q*h + v - 5, -v + 1 = -4. Suppose -2*m + 20 = -h*m. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737741757.\nAnswer: 3, 67, 109, 151, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -5*k - 14. Suppose -25 = -4*x + k. Let j(z) = -8*z. Let c be j(-5). What is the greatest common factor of x and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29209 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*b + 45. Let s = 4 - 9. Let y = b + s. What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -2*z**3 + 2 - 9*z - 8*z**2 + 0 + 3*z**3. Let b be y(9). Suppose 0 = o - 5 + b. Sort -0.2, -0.4, o in ascending order.\nAnswer: -0.4, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 68 - 66. Suppose 4*w = -5*g + 152 + a, 2*w + 3*g = 78. Factor -24*n**3 + w*n**2 + 45\/2*n + 3.\nAnswer: -3*(n - 2)*(4*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.1  (b) -3  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 + 23. Suppose -16 = -4*h, q*d - h = -0*d + 23. Is 9 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4)\/(-5) - 1302\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/19, -6\/5, -4\/9, 2\/3, 4, -0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, c: 1, p: 2, u: 1, b: 5, q: 1}. What is prob of sequence qb?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 14*d**2 - 14*d + 23. Does 10 divide u(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.08524 and 1.3.\nAnswer: 1.38524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -84 divided by -920243\nAnswer: 84\/920243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 3*l + 4*s + 6, 2*s - 10 = 0. Let w be l\/6 + (4 - 3). Let i = 197.5 + -198. Which is the closest to -2\/3?  (a) 0.1  (b) w  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 2:07 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 431939044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 142, -2 in increasing order.\nAnswer: -2, 1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 16, z: 4}. What is prob of picking 2 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 457*i**2*y - 11*i**2 + 141652*y wrt i?\nAnswer: 914*i*y - 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 206 and 14.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rlll when four letters picked without replacement from rrllrrrllrlrllrrrrr.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 13*m - 3 + 15*m**2 - 8*m**2 + 547*m**3 - 277*m**3 - 268*m**3. Let u(i) = i**3 + 2*i**2 + 4*i - 1. Give -2*t(q) + 7*u(q).\nAnswer: 3*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 4\/((-304)\/(-741))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6991 - -6994. Suppose -7*b + 4 = -5*b. Solve -2*h - 10 = 5*s, i*h - h - b = -2*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 18 = -3*d. Let p = -14 + 18. What is the remainder when p\/(-1 - (-10)\/8) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27453253\/11914 - -16130\/7. Is -1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, b: 2}. What is prob of picking 2 b and 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241458298?\nAnswer: 2, 120729149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v**2 - 32*v + 24. Let b be u(9). Suppose 0 = -95*i + 83*i + b. Solve 0 = 3*l + i*l - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - 48. Let l = x - -53. Let c(j) = j + 7. Let d be c(0). What is the greatest common divisor of l and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -54414324 + -51?\nAnswer: -54414405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3808*k - 208 = -3824*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/385081 and 16.\nAnswer: 385081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4275665, 4275662, 4275665, 4275680, 4275713, 4275770, 4275857?\n\"Answer: a**3 - 3*a**2 - a + 4275668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 630 is divided by 163.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 PM and 3:45 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*i = 6*i + 4080. Suppose 3*v + 129 = 42. Let k = i + v. Is k 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 -4527733*n**4 + 2358221*n?\nAnswer: -54332796*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -29*b + 32*b. Let r(n) be the second derivative of 29*n**4\/12 - 5*n**3\/6 + 2*n**2 + n - 24. List the prime factors of r(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 541247 * 56.7.\nAnswer: 30688704.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 28496310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/((-44)\/12)*781\/71\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.6 + 1?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 29*w + 98. Calculate the least common multiple of 30 and v(26).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -63*w + 76*w. Suppose -126 = -5*a + 3*g, 4*a + 3*g = 6 + 84. Let q = -20 + a. What is the highest common factor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*(-6)\/(-21) - 1. Let w(j) = j + 10. Let y be w(-15). Let q = -1.6 - -2. Which is the third smallest value?  (a) q  (b) y  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 (base 7) in base 13?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -14 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -13 - -9 - ((-104)\/4 + 5). Solve 16*f - x*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2510 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222 and 158.\nAnswer: 17538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 14*s - 9. Let k be ((-45)\/10)\/((-6)\/(-16)). What are the prime factors of f(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1293*d - 1332 = -1285*d + 2615*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4*(-4)\/(-96)*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -9*r - 145. Let p(j) = -j**2 - 10*j - 145. Let n(i) = 5*d(i) - 4*p(i). Let k(m) = 5*m**2 - 6*m - 145. Let b(u) = 5*k(u) - 6*n(u). Is b(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 4*y**2 - 2*y + 545. Let a be u(0). Let d be a\/75 - (-6)\/(-10). Let s be -2*(8\/6 + -1). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 1051*s**2 + 62*s + 25. Is l(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-15 - 14\/7 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -19*z**2 + 6838436. Let f(q) = -3*q. What is f(j(w))?\nAnswer: 57*w**2 - 20515308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 280*g**3 - 3*g + 267*g**3 - 13*g + 26*g - 518*g**3 - 10*g.\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 76*n - 683. Let z be v(9). Let a(r) = -8*r**3 - 2*r**2 - 6*r - 15. Let x(b) = -b**3 - b. What is z*a(h) - 6*x(h)?\nAnswer: -2*h**3 - 2*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 + 3*z - 17. What is a(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/14 + (-13)\/((-12285)\/(-261))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-36)\/15*35\/14. Let s be 34\/i + ((-10)\/3)\/10. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3*b**2 - 20*b + 17. Let f = -18 + 13. Let t be -36*f\/(-30)*-3. Is w(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37978383730 + -0.0538.\nAnswer: 37978383729.9462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7244179 micrograms to kilograms.\nAnswer: 0.0000000007244179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42372878*c**3*u**2 - 171628*c**3*u - 39*u wrt u?\nAnswer: -84745756*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-30))\/1*-15. Let r = 154 - t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4\/5)*h)\/h*h\/(h\/h**0))\/(h**0*h*h**3) assuming h is positive.\nAnswer: h**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150 divided by 3.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 8*b**2 - 4*b - 9. What are the prime factors of x(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8475 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -844245 - -844248. Suppose 12*x**2 + 14*x - 2\/3*x**u - 76\/3 = 0. Calculate x.\nAnswer: -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r + 108*r**3 - 313*r**3 - 20*r + 104*r**3 + 100*r**3.\nAnswer: -r**3 - 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.775 - -24.787. Let r = i - 17. Round r to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 5*t + 24. Let m be t\/(-5) - (-1)\/(-5). Let x be 39\/9 - m\/6. Solve 2*u + x*h = 4, 4*h + h - 2 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 5656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 21 + 1274*r**2 - 61 + 24.\nAnswer: 1274*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -3216048?\nAnswer: 1\/804012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 11603, 11620, 11663, 11744, 11875, 12068, 12335?\n\"Answer: 2*k**3 + k**2 + 11600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 558 - 228. Suppose -39*t - 5*h = -34*t - 1735, 80 = 5*h. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5220 - 3549. What is the remainder when q is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 9. Let r be y(-8). Let j be (r - 4\/4) + 3. Suppose -j*s = -5*c - s + 2907, 0 = -4*c + 5*s + 2329. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -631, -0.05, -0.01, -2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 t when four letters picked without replacement from {r: 8, d: 3, u: 3, t: 3, o: 1}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20002 + 182508 = 3582*q - 170285 + 3247 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -4, -2 in increasing order.\nAnswer: -9, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 878*o = 882*o. Solve -5*g - 10 = -o*r - 3*r, 2*g = 2*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 221 - 1761 = 0. Let k = 15851\/7 - 2271. What is the common denominator of k and (-845)\/u + (-3 - (-27)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -230 + 232. Suppose -67 = d*l - 41. Is l at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -15*c + 102. What is o(15)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-6\/17))\/((r*r**6*r*r)\/r) assuming r is positive.\nAnswer: r**(-113\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0975360020314 plus 0.02?\nAnswer: 0.1175360020314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of k**4\/24 + k**3 - 4*k**2. Let i be d(4). Suppose -85 = -4*n + 3*l, 2*n + 4*l = 16 + i. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -287?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -24255 divided by -2205\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w - 6 + 7 - 1. Let x(d) = -6*d. Calculate u(x(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704) + sqrt(704) + 0 + sqrt(704))*-3.\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 50*v + 1548. What is i(-30)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/6 - 1471*o**2\/6 - 2203*o\/3 - 1468\/3.\nAnswer: -(o + 1)*(o + 2)*(o + 1468)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 13*f**2 + 15*f + 10. Let m be -3 + 15\/1 - 1. Let t be c(m). Is -2 - (0 + -2) - t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26 + -20 - -41) + -58.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 AM and 8:52 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -31.172 to one decimal place.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -2, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 - 7*x**3 + 5*x - 2*x + 8*x**3.\nAnswer: x*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.53 + -0.631. Round l to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 3396708?\nAnswer: 16983540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 4 - 3)*(n + 2 - 2) + 71*n + 84*n - 119*n - 3*n - 10 + 10 + ((1 - 2 + 2)*(-1 + 3 + 0) + 2 - 5 + 4)*(-n - n + n) in the form z*n + v and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 21\/4)\/(9\/(-24)). Suppose -s*g = -g - 580. Suppose 156 = c + g. Calculate the smallest common multiple of 32 and c.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 87532718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*q = -120*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, i: 3, y: 3, w: 2, g: 2, r: 6}. What is prob of picking 1 y, 1 x, and 1 g?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**3 - 14*k**2 - 9*k. Calculate y(7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 792*g = 794*g + 86, 4*g = w - 150 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -60 - -70. Let w(k) = k**2 - 10*k + 6. Let y be w(i). Suppose -2*n - 702 = -4*u, -2*u + 9*n = y*n - 345. What are the prime factors of u?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21226709 and 8095?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 23. Let r = 2.7 - 3. Let l = -0.6 - r. Which is the third biggest value?  (a) l  (b) 0.1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/15))**(-21\/5) assuming z is positive.\nAnswer: z**(-7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 13*u - 491 = 12*u, -4*q = 4*u - 396. Solve q = 14*o + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12380390 is divided by 618.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1242313 - 0?\nAnswer: -1242313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, h: 6, v: 4, t: 2, b: 4, l: 1}. Give prob of picking 1 t, 1 l, and 1 v.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = h - 8, 5*h - 4*n - 31 = -3. Suppose 4*d - 24 = -p, 15*p = 13*p + d + 3. Find the second derivative of p*o - o**5 - 11*o + 23*o + h*o**5 wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60.5 + 76. Let p = -1.716321 + -13.785219. Let f = p + w. Round f to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**2\/2 + 18237972*c - 55437270445464 = 0.\nAnswer: 6079324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*u = -201*u + 3*y + 252, -7*u = 3*y + 293 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17411\/7 - 2485. Factor 60\/7*i - d*i**2 + 16\/7.\nAnswer: -4*(i - 4)*(4*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(3\/2)*(g\/g**3)\/g)**35)**(-1\/15))**(3\/7) assuming g is positive.\nAnswer: g**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -929 = 56*t - 873 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193 = 25*x - 368 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 9*v**2 - 11*v - 7. Let d be h(-10). Differentiate -10*g**3 - 6*g**d + 4 + 5*g**3 wrt g.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9427 - -1)\/(-131 + 132). What is l rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -463*p - 1232*p + 179*p - 481*p.\nAnswer: -1997*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -21. What is the smallest value in m, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2221 + 2262. What is the remainder when 4631 is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7956 and 3630588.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3977921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence unt when three letters picked without replacement from {t: 1, u: 2, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000804 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (129\/(-21) + 6)*7. Suppose -3*l - 10 = -8*l. Sort 3, 0, l, m in descending order.\nAnswer: 3, l, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 - 9*a**2 + 7*a + 4. Calculate i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37.5 - -37.9. What is the nearest to 0.2 in -5, -0.4, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 25 = 0, -5*c = 6*l - l + 135. Let i = l - -59. Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -624 = -2*x - 5*w - 102, 4*w = 0. Suppose -266*f = -x*f - 580. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2 - z + 800. Let x(i) = 3*i**2 - 35. What is w(x(o))?\nAnswer: 18*o**4 - 423*o**2 + 3285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7348 is divided by 231?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 400312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -214684 smaller than -214685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-14) + 9\/63. Is (1 - c)*(-6)\/((-6)\/61) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is ab7b + 4?\nAnswer: ab83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 109564 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 529 and 533 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than or equal to -1503\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -4*f. Let d(i) = -10*i**2. What is d(a(h))?\nAnswer: -160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*n**4 + 210*n**3 + 3535*n**2 - 7308004*n wrt n?\nAnswer: 36*n**2 + 1260*n + 7070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/13*m**2 + 6\/13*m + 0 = 0. Calculate m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 272, 5, -2\/29, 2\/23 in increasing order.\nAnswer: -2\/29, 2\/23, 5, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z**2 - 26. Let y(f) = 83*f**2. What is h(y(i))?\nAnswer: 20667*i**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 3 + 6 - 16*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.15*233.6.\nAnswer: -35.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13587 and 630?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 35 - 90 = 5*q, -q = 1. What is the lowest common multiple of n and 275?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of p**8\/63840 - p**7\/3420 + p**6\/456 - 3*p**5\/380 + 5*p**4\/8 - 25*p**2. Let u(c) be the second derivative of q(c). Factor u(r).\nAnswer: 2*(r - 3)**2*(r - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 256*p + 73*p**2 + 206*p - 74*p**2 to the form z + u*p + x*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10119682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1183763 at most -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1215 divided by -90.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1009 + 944 + -4 + 126\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-1)*(-5)\/(-6). Let s(k) be the second derivative of -1\/36*k**4 + 0 + 3*k + 0*k**2 + 1\/60*k**r + 0*k**3. Solve s(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, a: 2, y: 2, s: 8, t: 5}. What is prob of sequence sar?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 8*y**2 - 4*y - 1. Suppose -4*c + 5*a - 1440 = c, -2*a = 2*c + 592. Let b = c - -299. Determine s(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -467*m - 13848 + 3107 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - c + 144. Let k be u(0). Suppose -h - 5*v + 4*v + k = 0, 2*v + 292 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2533, 5268, 8197, 11320, 14637, 18148, 21853?\nAnswer: 25752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 85262*o**6 - 107348*o**2 wrt o.\nAnswer: 10231440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m + 10*m = -140. Let h(d) = m*d - 39*d - d**2 + 10*d + 6. Calculate h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2841045?\nAnswer: 3, 5, 37, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 5*y - 554 = 0, -5*h + 521 = -4*y - 864. What are the prime factors of h?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*b - 17*b - 11076 + 10866 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -b**5\/20 - 458*b**2. Let r(h) = 2 - 2 + 11*h. Calculate s(r(v)).\nAnswer: -363*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uqlula. Give prob of sequence alqu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*b = -1209 + 569. Solve -b = 4*m + 5*d, m = 4*m - 4*d - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -564*f**3 + 50*f**4 + 1905*f**4 + 2126 + 564*f**3 + 57*f**4 with respect to f.\nAnswer: 8048*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**3 - 47*z**2 - 25*z + 26. Let d be g(24). Solve -2*t - 2*t - 4*n = -8, -2 = -3*t - d*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 6*a + 3. Let o be 18\/(-81) - 52\/9. Let b be x(o). Let r(v) = 4*v - 7. Let y be r(b). Sort y, -3, 0.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3220186*y**2 - 19500633?\nAnswer: 6440372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -2. Suppose 4*u - 3*u = 0. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/9 + 77*m**2\/9 - 289*m\/3 - 105.\nAnswer: -(m - 63)*(m - 15)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1.1. Let n = -98.5 - -98.49. Which is the third smallest value?  (a) n  (b) 2\/3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7*(-4)\/84)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4612129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + u = 10. Let r be 12\/u*(-10)\/(-3). Solve -3*p + r*p = -c + 4, 0 = -3*c + 4*p - 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 531440 by -73.\nAnswer: -7280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 177, 0.4479 in increasing order.\nAnswer: 0.4479, 1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2415*v**3*x**3 - v**3*x + 10*v**2 - 6*x**3 - 4*x**2 wrt v.\nAnswer: -14490*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.214793546 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 677 and 11?\nAnswer: 7447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -254.1 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 6:41 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -79 - 13. Calculate the greatest common factor of 207 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {v: 1, r: 2, p: 1, c: 12, z: 1}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a + 4*a - a + (4 - 4 - 1)*(-4*a - 7*a + 29*a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (132\/(-40) - 2) + -1 and 4\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -50\/9?  (a) -1\/2  (b) -5  (c) 1\/6  (d) 9  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 12*g**3 + 11*g + 34. Let f(h) = -18*h**3 - 16*h - 51. Calculate -5*f(n) - 7*x(n).\nAnswer: 6*n**3 + 3*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 47510277 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/445062920 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 80 = 10*j, 327 = s - 3*j + 357 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 9513011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -274.69 + 45.39. Let y = c + 229. What is the closest to y in -7, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 4*z - 7. Let u(r) = r + 1. Let a(t) = -m(t) - u(t). Let x be 848\/(-112) + (1\/(-3))\/((-175)\/(-225)). What is a(x)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10\/1561 - -632\/388689. Which is the nearest to -1\/3?  (a) 0.2  (b) 1\/3  (c) 0.4  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1151\/30660 or 1?\nAnswer: 1151\/30660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -180 - -1256\/7. What is the closest to 0.2 in f, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3988, 3987, 3986, 3985?\n\"Answer: -r + 3989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Find the third derivative of -2*l**2*o**3*r + 470*l**2*o**2*r - l**2 + 2*l*o**2*r - 388*o**3*r**2 - o**2*r**2 wrt o.\nAnswer: -12*l**2*r - 2328*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 10 + -8 - 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 897 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l - 24. Let r be c(-9). Let k = 15 + r. Solve -2*j - f - 5 = k, -j - 3*j = -f + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/84 and 79\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -25ce (base 15) in base 5?\nAnswer: -224234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 7:15 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6655?  (a) -2  (b) -6  (c) 0.4  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -30*v**4 + 11*v**4 - 54*v**4 + 3*v**4 - v**4 - 4*v**4 + v**4 + v**4 - 4*v**4 + (-v - 2*v + 5*v)*(2*v**3 + 2*v**3 - 5*v**3).\nAnswer: -79*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*y = -215*y - 210 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -19.2958 and -2.\nAnswer: -21.2958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, -2, 27, -1 in increasing order.\nAnswer: -38, -2, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -1)*((-50)\/(-10) + -5). Solve -7 = f - 2*k, 4*f + 3 = 3*k - l*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 45*q**2 + 84*q + 392. Let w(v) = -v**3 + v**2. Let i(k) = m(k) - 3*w(k). Factor i(x).\nAnswer: 4*(x - 7)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 26.9, -0.2, 5?\nAnswer: 26.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -152 + 248. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-2 + -1*(sqrt(304) + 0) + 3 + -5)**2 + -5)*4.\nAnswer: 128*sqrt(19) + 1256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -1) + -3 - -3. What is the second derivative of a*s + 3*s - 4*s**3 + s**3 wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 689 = -5*h - 0*h, -2*h + 156 = q. Let z be 34\/6 + 2\/6. Calculate the common denominator of q\/(-72) - z\/24 and -52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/29?  (a) 3  (b) 2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3139 + 6.\nAnswer: 6.3139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -2 + 5 - (438 + -502)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - o - 280. Round o to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*f + 10*f - x + 2 = 0, -4*f + 3 = 1070*x - 1071*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 7 + 3, 0 = 3*b - 2*p - 55. Let a be 65 - (2 + -3) - -2. Calculate the highest common divisor of b and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -1. Suppose -4*d - 3*g = -230, 5*d = 5*g + 145 + 160. Suppose 0 = h*n + 4*m - d, -3*m + 18 = 3*n - n. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98344 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0322977868 to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 3, -10.793, 101\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/2656212 and -61\/6?\nAnswer: 2656212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -125*y + 50. What is the remainder when q(-4) is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245285823 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 16*o**2 - 29*o - 64. What is the units digit of j(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(400) + sqrt(400)*-2)*2 - sqrt(400))\/(sqrt(392) + sqrt(392)*3).\nAnswer: -15*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(-6)*(5 + -2). Suppose -j*t = 5*w - 140, 2*w = 9*t - 4*t + 77. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, g: 1, f: 1, j: 2, x: 2}. Give prob of sequence jfg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5574966 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.07, -0.2 in decreasing order.\nAnswer: 0.07, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11234, -11006, -10778?\n\"Answer: 228*c - 11462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5451 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.231 - 0.069. Let z = -10.7 - -0.7. Which is the third biggest value?  (a) 2\/7  (b) w  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 36 - 29. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 512 (base 8) to base 16.\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/7 and -36\/2653?\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = y - 429. Suppose -3*g = 140 - y. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*h - h. Factor 6*l**2 + l**3 + 4*l**3 + 3*l**3 - h*l.\nAnswer: 2*l*(l + 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -83*x + 2. Let p be d(-6). Round p to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -282216, -282369, -282524, -282681, -282840, -283001?\n\"Answer: -g**2 - 150*g - 282065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7563234 seconds in microseconds?\nAnswer: 756323.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 183 - 182.99999913. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000104081912 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1324, 1782, 2236, 2686, 3132, 3574, 4012?\n\"Answer: -2*q**2 + 464*q + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 33. Let v be h(-11). Is v < 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0 + 4 = 0. Let f = -268 + 270. What is the common denominator of (-55)\/n + (-3 - -4) and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (1 + (3 - 4) + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 11*z - 3*u - 576, 5*u = -2*z + 370. List the prime factors of z.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 2:48 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.74 and -5.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(1216)*-3 - (sqrt(1216)*-1 + sqrt(1216))*-1)**2 - (sqrt(1216) + -4*sqrt(1216)*-4 - (sqrt(1216) + -1)*-6).\nAnswer: -328*sqrt(19) + 10959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -153 + -12?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*5*(-2 + -1*sqrt(28))**2*-6.\nAnswer: 1440*sqrt(7) + 5756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7107514675 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2432\/80 - 29)\/(-1)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.04  (b) 7  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/20 - (-791078)\/1060.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 3862?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 155137 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**5 - 5*q**4 + 2*q**3 + 24*q**2 = 0. Calculate q.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2099 or -10488\/5?\nAnswer: -2099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jrss when four letters picked without replacement from rjssrrrjrrsssrsses.\nAnswer: 49\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35*b**2*w + 783*b**2 + 5*b + 338*w**4 + 1 wrt w.\nAnswer: -35*b**2 + 1352*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 AM and 8:54 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 40\/(-56)*-7 - (0 + 1). Solve -5*b + 0*w + 6 = -w, -2*b - q*w - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -167.3 + -283. Let o = 397 + b. Let q = o - -54. Is q less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (14\/2 - 2)*(33 - 29). Suppose 0 = 16*l - q*l + 4792. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1872 divided by -117\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17 + -a70?\nAnswer: -a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.454?  (a) -0.3  (b) 0.1  (c) -0.5  (d) -4  (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -78.3 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-45) + 1\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, r: 1, f: 2, l: 3, h: 1, v: 5}. Give prob of picking 1 f and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -5*f, 0 = 2*n + 4*f - 15 - 29. Let g be (-16)\/6*(-48)\/n. Let s be (1\/(-2))\/(34\/8). What is the smallest value in s, g, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 1 - i - 9*i**2 + 2 - 8*i. Let n be j(-8). Solve t + n = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 166 + 986. What is the highest common divisor of 144 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28102 + -674297\/24. Calculate the common denominator of -44\/15537 and a.\nAnswer: 124296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of -d**4\/12 + d**3 + 3*d**2\/2 + 11*d. Let f(r) = r. Let i be f(3). Let h = i + 3. Give c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*i*k**2*w**3 - 2*i*k**2*w**2 + i*k**2 + i*k*w**3 + 15*i*k*w**2 - 5717*i*w**3 - 1931*i*w**2 wrt w.\nAnswer: 54*i*k**2 + 6*i*k - 34302*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -765, -7227, -24693, -58665, -114645, -198135, -314637, -469653?\n\"Answer: -917*c**3 - 43*c + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -23.7013 and 1307?\nAnswer: 1330.7013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2. Let b(d) be the first derivative of 0*d - 3\/2*d**2 + 3. Calculate v(b(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127*q**2 - 63*q**2 + 2*q + 156*q**2 - 2*q.\nAnswer: 220*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -20953, -20955, -20959, -20965, -20973?\n\"Answer: -f**2 + f - 20953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18982 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 9*t + 31. Let f(k) = -14*k - 46. Let d(s) = 8*c(s) + 5*f(s). Let w be d(-7). Suppose 8*j + 28 = w. Put -1, -5, j, 1 in decreasing order.\nAnswer: 1, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 14 = a. Suppose -a*q + 70 = -2*q. Suppose -16*y + 29 = -531. What is the highest common divisor of y and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, 1\/5, -0.1, -7 in decreasing order.\nAnswer: 1\/5, 2\/15, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -27*t**3 - 5*t + 5. Let u(y) = -256*y**3 - 48*y + 48. Let c be -48 + -1*(8 + -8). Determine c*z(j) + 5*u(j).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r + 917 - 224. Let p = r - 64. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 589423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 11*k**4 + 27*k**3 + 6*k**2. Let x(u) = -34*u**4 - 80*u**3 - 18*u**2. Let q(d) = -21*w(d) - 6*x(d). Let q(r) = 0. What is r?\nAnswer: -3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3996 - -4015.79. Let j = x - -0.21. Let r = j - 20. Which is the third biggest value?  (a) r  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2668)\/2465 - ((-35)\/357)\/((-15)\/18).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(21\/15)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26828.32 decades in years?\nAnswer: 268283.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*k**3 + 147*k - 147*k + k - 2*k**3 - k + (4*k - k - 4*k)*(2 + k**2 - 2) + 3*k**3 + 2*k**3 - 4*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vukgkkodkddu. Give prob of picking 3 k and 1 v.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twwwmttwwmttt. What is prob of sequence tm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -258164.\nAnswer: -2\/64541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 604 + -394. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 105520245 + -4?\nAnswer: 105520241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48 + -50. Let b = k + 0. Let w be ((-1)\/2)\/1*0\/b. Solve 2*m = -w*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, f: 4}. Give prob of sequence ssss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3741 = -6*q + 3861. Solve -572*d = -576*d + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23860, -24241, -24622, -25003, -25384, -25765?\nAnswer: -26146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -42532 + 72867. List the prime factors of t.\nAnswer: 5, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11 * 101.63.\nAnswer: -1117.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -5928*c**2 - 35577*c - 50. What is v(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 78 in -0.4, 3, -1, -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 305*h - 6510. Calculate r(-23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-76 - -176)*(-4 + 3) - -41?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 1\/12  (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.133637*-7\nAnswer: -0.935459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3489510 is divided by 28370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1 = -4. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20790919*m**2 - 843*m - 20930.\nAnswer: 41581838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4806\/1471 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 6708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 7, i: 2, v: 1}. Give prob of sequence ivi.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-21 - -11)) + 32 + 27?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/4*(1652\/(-105) + 16). Sort -1, q, 5, -9.\nAnswer: -9, -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1012 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -11010010001?\nAnswer: -11010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*m**3*r + 4*m**3 + 17*m**2*r**4 + m**2 wrt r.\nAnswer: -5*m**3 + 68*m**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 30*r**4 + 11*r**3 + 11*r**2 - 16. Let m(w) = -6*w**4 - 2*w**3 - 2*w**2 + 3. Let u(d) = 33*m(d) + 6*p(d). What is the first derivative of u(s) wrt s?\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (20 + 7)) + (1 - -2) + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/80*50\/(-175))\/((-2)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -18, 2, -1, -10, 45, -2 in decreasing order.\nAnswer: 45, 6, 2, -1, -2, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**3 - 7*s**3 + 2*s**3 + 30.\nAnswer: -s**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2321434302 (base 5) to base 14\nAnswer: 9b0a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -436, -883, -1342, -1819, -2320, -2851, -3418, -4027?\n\"Answer: -b**3 - 440*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**3 - 3541*s**2 - 168993*s + 21801. What is p(1817)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6473.786 years?\nAnswer: 647.3786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 17655 = s + 6956, -s = -4. List the prime factors of n.\nAnswer: 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6.983219 meters?\nAnswer: 6983219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-3)*90\/40. Suppose -19 = -l*d + 134. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(133)\/(sqrt(567)*-5 + sqrt(567)).\nAnswer: -sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of l**5\/6 - l**4\/8 + 5*l**3\/3 - 19. Let b(g) be the third derivative of j(g). Differentiate b(x) with respect to x.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyeeyyy. What is prob of sequence yyee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4741*d*l**4*u**2 + 2*d*l**3*u - 1591*d*u**2 + 17*u**2 wrt l.\nAnswer: 18964*d*l**3*u**2 + 6*d*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 10*n - 2. What is k(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -489506605, -489506607, -489506611, -489506617, -489506625, -489506635, -489506647?\n\"Answer: -t**2 + t - 489506605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**2 - 43*h - 142. Let m be v(21). What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4\/21 + 146*q**3\/21 - 1454*q**2\/21 - 144674*q\/21 + 147668\/7 = 0 for q.\nAnswer: -67, -38, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 28884 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 g(s) be the second derivative of -s**3\/6 - 7*s**2 - 5*s + 2. What is g(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00051623 to six dps.\nAnswer: -0.000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.1 - -1. Let d be (4 - 2)*1\/2. Let h be d\/2 + (-2)\/6. Which is the closest to f?  (a) h  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + ((sqrt(35)*4)\/sqrt(5))**2 + sqrt(343)*1.\nAnswer: 8*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 392 + 96 = 2*w, 0 = -5*r - 25. Let f = w + 137. Let c(t) = t**2 + 7*t + 3. What is c(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-1 + 4) - ((-4 - -11) + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49) + sqrt(4900) + sqrt(4900)*-3 - sqrt(245)\/(2*sqrt(5)))\/(-4*(sqrt(1008) + (sqrt(1008) - (-4*sqrt(1008)*1 - sqrt(1008))))).\nAnswer: 13*sqrt(7)\/224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5625*b**5 + 3*b**3*w**2 - 9*b*w**2 - 374*b - 2*w**2 wrt b?\nAnswer: -112500*b**3 + 18*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -1262?\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -209a695 - 2?\nAnswer: -209a697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 161 + -385. Let k be t\/(-36) + 4\/(-18). Suppose 3 - k = 3*i. What is the closest to -1 in -0.4, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -676 * -0.09\nAnswer: 60.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8152115 centuries in decades?\nAnswer: 8.152115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/6*6 - 176\/(-2). Suppose -55 = -5*f + 2*v - v, 5*f - p = -5*v. Find the second derivative of -b**3 + 154*b + f*b**4 + b**3 - 140*b wrt b.\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 + -20. Solve 3*x + t = 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2085532047 rounded to 5 dps?\nAnswer: 0.20855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*x - 62 + 13 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**3 + 184*q**2 - 331*q + 4209. Calculate k(-94).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 266*b - 3727. Let x be j(14). Let c(u) = -2*u**2 + 3 + 3*u**2 + 2*u**2 - 6. Calculate c(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/12 + 1)*1. What is the closest to -0.1 in 5, -6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 10*w - 1. Let o(s) = -s**2 + 381*s + 2315. Let i be o(-6). Suppose 21 - 13 = 4*y. Let d(p) = 3*p. Determine i*d(j) + y*c(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 9*n - 1. Let m be h(1). Suppose 7*i + 61 = m*i. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.668796t to milligrams.\nAnswer: 2668796000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 627 + -383. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68725+662407\nAnswer: 593682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-15942)\/9)\/((-3)\/9))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 835607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -197380, -197379, -197378?\n\"Answer: g - 197381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 14, h: 1, q: 2}. Give prob of sequence wqwq.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 5 - ((2 - 1) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4788.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*f = 34 - 268. Let z be (-1)\/((50\/f)\/(-5)*-3). Sort z, -1, 0.089 in ascending order.\nAnswer: -1, z, 0.089","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 16*w. Let m be (39\/(1755\/(-120)))\/(4\/(-6)). Let u(d) be the third derivative of 5\/24*d**m - d + 0*d**3 + 0 + 2*d**2. Determine -2*f(q) + 7*u(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -289 + 317. Let -4*d**2 + 2 + d**5 + f*d**3 - 71*d + 2*d**4 - 30*d**3 + 72*d = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mywhxydmywyhdy. Give prob of picking 2 w, 1 x, and 1 h.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (23956\/12 + -5)\/((-3)\/(-36)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + 54\/4)*((-7542)\/216 + 35).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*h - 2. Suppose -5*l + h*l = -12. Suppose 2*b + l = 4*b. Solve b = w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (16 + (20 - 114 - 39))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - -75 - (-19 + -5 + -4) - (11 - -1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17188 by 4297.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 4 - 3*m + 1.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 136 - (109 + (50 - 31))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6337152, -12674303, -19011456, -25348611, -31685768, -38022927?\nAnswer: -44360088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140367078.\nAnswer: 2, 3, 7798171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/4942503 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.086 take away -12?\nAnswer: 11.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5615027478 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2670191, -2670192, -2670193?\nAnswer: -2670194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1275 - -1523. What is the greatest common divisor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 282*f = -343*f + 502*f - 1722 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -23  (c) 5  (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 2509*v**2 + 4 - 11 + 0 + (3*v - v - 7*v)*(-3*v + 3*v - v) in the form x + z*v**2 + h*v and give z.\nAnswer: 2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*k + 3 + (-4 + 7 - 12)*(0 + 0 - k))*(-8*k + 1 - 3*k - 2).\nAnswer: -77*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 20*y + 42. Let h be n(-17). Let k(o) = -o - 17. Let x be k(h). Is 3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 6 = -2*w + 3*g, 2*g = -3*w + 4. Suppose 4*o - 4*b = 136, w*o - 2*b + 127 = 3*o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2372)\/6)\/((-4)\/(-6)). Let m be (-2)\/8 - g\/4. Suppose -3*p = -2*a + 2*p + 58, -4*a + m = -2*p. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 12, 2, -4, 19, 10\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -283044645 divided by 6289881.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26?  (a) 4  (b) -3  (c) 5  (d) -4\/5  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 308060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + (60 - 48))\/((-497)\/(-2)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 79*m**2 - 615*m + 89. Let k be j(8). Let b = 12 - -18. What is the greatest common factor of k and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91, 522, 1237, 2230, 3495, 5026, 6817, 8862?\nAnswer: 11155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.4 times 4.3?\nAnswer: -87.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -4*o + 44. Let k(f) = 2*f**2 + 25*f - 9. Let h be k(-13). Calculate the remainder when 444\/8*4\/2 is divided by g(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -42 and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 77172264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Divide 80625 by 1896.\nAnswer: 26875\/632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 > 41137\/595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/sqrt(72) + (sqrt(20)\/sqrt(4)*5)**2.\nAnswer: sqrt(5)\/3 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-5\/2)\/r*r*r)\/r**(-7)*((r*r**(-1\/5)\/r)\/r*r)**18 assuming r is positive.\nAnswer: r**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9561 * -0.3.\nAnswer: 2868.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3251 - -142?\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67.1 - 67. Which is the third smallest value?  (a) 2  (b) q  (c) 1\/3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 399551.7648 to the nearest one thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*y + 3)*(23*y + 48*y + 13*y)*(0*y + 2*y + 0*y)*(3*y**2 - 2*y**2 - 2*y**2).\nAnswer: 336*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 - -46. Suppose 0 = -4*q - o - 3472, 3*q + 2617 = -v*q - 4*o. Let t = -458 - q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-111)\/(-36))\/1 - 3. Let l(g) be the second derivative of 2*g - a*g**4 + 0 + 1\/3*g**3 + 0*g**2. Suppose l(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -2, 3, -36, 4, -182, 5 in descending order.\nAnswer: 5, 4, 3, -2, -6, -36, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -14\/1737 and -29\/21.\nAnswer: 12159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -177, -1, 6, 0.3 in decreasing order.\nAnswer: 6, 2\/5, 0.3, -1, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5915 (base 14) to base 13\nAnswer: 7097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -190, -269, -352, -439, -530, -625?\n\"Answer: -2*k**2 - 73*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/((-208)\/13)*(-33)\/6?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13989, 28087, 42183, 56277, 70369, 84459?\nAnswer: 98547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -u**2\/2 + 54*u - 320. Calculate m(31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 94716?\nAnswer: 18943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 938749 less than -8937.1?\nAnswer: -947686.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.04 + 0.96. What is the nearest to o in 1, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 14, -4 in increasing order.\nAnswer: -4, -3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 189588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09555 minus -33?\nAnswer: 32.90445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 60b (base 12) to base 11\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5adc - a?\nAnswer: -5ae7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 - 45. Suppose 4*x - 7*x + 2*h = -10, -2*x + b*h = -6. Let q(c) = c**3 + 2*c**2 - 2*c + 1. Calculate the remainder when x is divided by q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22.79252 + 0.12752. Round p to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3614 + 503. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*b**4 - 17*b**3 + 2325444*b**2 - 558268947*b wrt b?\nAnswer: 48*b**2 - 102*b + 4650888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**5\/19 + 3696*b**4\/19 - 1740522*b**3\/19 + 30491716*b**2\/19 - 161215680*b\/19 + 214329600\/19 = 0. What is b?\nAnswer: 2, 8, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 12:31 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -10*q**2 - 40*q + 124. Calculate k(3).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -58585 * 20.3\nAnswer: -1189275.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 800092 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -17. Let k = 1129\/2 - 8987\/16. Calculate the common denominator of k and (-2)\/(-3 + v\/(-18)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 209 - 8*u**2 - 82 - 55 - 72 - 2*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 48811357 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 359571791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -90*i + 203545 - 206605 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 52.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137*x + 2*x**2 - 279*x + 1381*x**3 + 141*x.\nAnswer: 1381*x**3 + 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26*s**4 + 1119 - 1119 - 16*s**2 wrt s?\nAnswer: 624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -2\/5, 0.02, 114251, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4*b - 23, 0 = -b - x + 4 + 4. Suppose -3*w = -2*u - 1262, b*w - 2*u = 3*w + 844. What is the remainder when w is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/1020 and 137\/612.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*q = -3*d + 34, 4*d + 2*q - 28 = 0. Suppose 5*o - d*o + 11 = -n, 2*n - 14 = -4*o. Suppose 0*h - 4*h - 5*w = -18, 4*h = w + o. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -5, 28, -4 in increasing order.\nAnswer: -5, -4, -2, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 47 + -106 + 95 + -44\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-207)\/21)\/((-2889)\/(-20223)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13110003 + 2021123?\nAnswer: 21131132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 242899052 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1814 - -1740 - (-126 + -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14.27 + -13.77. What is the closest to 0.1 in -2\/17, 0.11, -4, f?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 2 r, and 1 q when four letters picked without replacement from {q: 1, c: 2, e: 11, r: 4, f: 1, k: 1}.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + -2. Let c be (8750\/a)\/((-2)\/96). Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/4  (b) 10  (c) 7\/515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 104459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47, 214, 507, 932, 1495, 2202, 3059, 4072?\nAnswer: 5247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129 = 74*t - 103 + 29 - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -81, -14\/5, 0.013?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1548496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 0*g**2 + 0*g**4 + 12 - 2\/3*g**6 + 0*g**5 + 0*g + g**3. What is the third derivative of j(x) wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*t**4 + 5 - 5*t**3 - 5*t**4 - t**2 - 16*t**4 - 6*t**4 to the form r*t**4 + f*t**3 + c + d*t + v*t**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9593\/198 - -1105\/22. Factor 0 - 98*b**4 - 184\/9*b**2 + s*b + 700\/9*b**3.\nAnswer: -2*b*(7*b - 2)**2*(9*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 6:50 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 23 = -7. Let i(n) = -n**3 + 2*n**2 + 2. Let t be i(2). What is the units digit of t\/d - (-13)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -245.083493 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.1 and -19922928 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 5*m + 8. Let g be f(6). Suppose -17 + 1 = -g*t. Calculate the lowest common multiple of 6 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 4*r - 15. Determine h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-6)\/(-12)) + 2 + 187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 12 = 2*f, -2*g - 16 = -g - 5*f. Suppose 225 = 20*q - 5*q. Solve 0 = -g*i + i + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -411*q**2 + 242*q**2 - 75*q**2 + 250*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -299 + 304. Let w(y) = 18*y**3 + y**2 + y - 1. What is the remainder when w(1) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17a6e1f + -2?\nAnswer: 17a6e1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (5 - (-7 + 0)) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 73816\/7 + -10545. Which is the biggest value?  (a) -21  (b) -1  (c) j  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of -4*i**3 + 41*i**2\/2 - 15*i. Is s(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168429 is divided by 41765?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/5))**(-27)\/((k*k**10)\/k**37) assuming k is positive.\nAnswer: k**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2178 and 3828?\nAnswer: 126324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11435 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 + 0\/(-3 - -5). Let i(c) = 6*c**3 - 5*c**2 + 2*c + 5. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(300) - (0 + sqrt(300))*-1) + -2)**2.\nAnswer: -200*sqrt(3) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 3:32 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -8*v**2 + 25*v + 4. Let g(n) = 7*n**2 - 24*n - 3. Determine 5*c(j) + 6*g(j).\nAnswer: 2*j**2 - 19*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 732577.\nAnswer: 599, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/11, 22, 4.\nAnswer: 3\/11, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -336 in -6, 1\/7, 5, -3, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3\/7 + 288*f**2\/7.\nAnswer: -4*f**2*(f - 72)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -41 * -4\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 4*b + b + 14 = 0, 55*b + 2 = 54*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 3 + 1. Suppose x - 2*x - 2*g = -8, s = 3*x + g. Suppose -2*i + 3*j + 81 = x, j + 2*j + 120 = 3*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 222 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 763*7\/(-392) - 3\/8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84343530 is divided by 71?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gsbpdpgppbtggpgggttg. Give prob of sequence bdt.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -14*a**2. Let z(w) = 4*w**2 + 54 - 54. What is n(z(t))?\nAnswer: -224*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + k**2 - 3*k + 1. Let u be m(-4). Let d = 51 + u. Calculate the greatest common factor of d and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 161\/2 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 147.1 + -161. Let d = w - -13.4. Let y = 1.08 - 0.08. What is the third smallest value in y, d, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1594141466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 36924?\nAnswer: -36922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) -0.1542  (c) -156  (d) -2  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32023715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.32736 to 1 decimal place.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1038\/7 + 148. What is the nearest to 0.2 in -1, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 2\/3)*(-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 8 - 3)*(2*z + 3 - 3).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -67\/130 - -3\/26. Let b be ((-4)\/24)\/((-10)\/4). Let g = b + h. What is the closest to g in -3, -0.4, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = 2*w - 4*w. Suppose -5*u + w + 54 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 5*f - 7656. Suppose 5*q - 2159 - 4218 = -4*p, f = 2*q + p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 24*u + 10. Let h be b(-3). Let v = -32 - h. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-12 - (13 + -4 + -7 + (14 - 8)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d135 (base 15) in base 5?\nAnswer: -22233100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 22929 + 115?\nAnswer: 23044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -8*c**3 + 66*c**2 + 13*c - 5. Is j(-8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (22 - 21) - 16 - (2 - -6)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/83)*(n*(n**(18\/5)*n)\/n)\/n)\/(n**(-12)*n**28))**42 assuming n is positive.\nAnswer: n**(-215712\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/9 - 14*(-6)\/(-108). What is the closest to -12 in -2\/7, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -119 greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 2*n + 9 + 6, 5*h + 3*n = 24. Let d(a) be the first derivative of 1\/3*a**3 + 1 - h*a + 2*a**2. Calculate d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*p - 4*g - 64, -4*p - 3*g = 108. Let x be 9\/p - (-4)\/16. Let y = -9 + 14. What is the second smallest value in y, 4, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45.27898 days to nanoseconds.\nAnswer: 3912103872000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y + 3*y - 9. Put -1, y, 2 in ascending order.\nAnswer: -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8) - (sqrt(80)*-2)\/sqrt(10))*5)\/(-3*-4*sqrt(12)\/sqrt(3)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 - 2*q**2 - 4*q - 4. Let s = -132 + 130. Let t be o(s). Suppose 2*b - 2*n + n - 3503 = 0, -t*n - 6996 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 15225984.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 28 - 60 = 0. What is the remainder when 114 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -652 + 656. Solve r*q + 4*t - 7*t = 6, 5 = 3*q - 2*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1381371353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 19. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of s**5\/20 - 5*s**4\/12 - 5*s**3\/6 - 4*s**2 - 8*s. Let x be r(6). Does 13 divide (x + 41)\/(-1 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -314 + 6236955562\nAnswer: 6236955248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 1:06 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.03, 1.5, 0, -0.2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + d + 0*d - 2*d)*(23 - 10 + 14) to the form b + q*d and give b.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*q = -7, -7*q + 3*q = 2*a - 10. Let m be a - 2 - (-13 + 16\/4). Solve m*y - 3*y = -12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 (base 10) in base 14?\nAnswer: 37d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3407 by 1.\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2742 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -102043\/17 + 12007\/2. Calculate the common denominator of -149\/6 and p.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -101 (base 5) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-3)\/(-5) - ((-3848)\/20 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -v + 13. What is the greatest common divisor of 25 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 3*r + 7*r + 5, 5*r + 5 = -4*n. Let b be (-14 + n)*(-2)\/(-6). What is the third biggest value in 3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1171\/2*w**2 + 524*w + 50 + 23\/2*w**3.\nAnswer: (w - 50)*(w - 1)*(23*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11874801.8*-1\nAnswer: -11874801.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + 3*z + z)*(4*z**2 - 2*z**2 + 0*z**2 + (-z - 4 + 4)*(4*z - z - 4*z) + 2*z**2 - 2*z + 2*z + z**2 + 0*z**2 + 0*z**2 + 3*z**2 + 4*z**2 - 5*z**2).\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1677479 is divided by 186383?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(1\/5)\/r)*r*r*r**(-3)*r**(2\/101))**35)**(2\/5) assuming r is positive.\nAnswer: r**(5796\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1310 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -3) + 8 + (12 - 26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.8 times -3.01?\nAnswer: 20.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -694*t + 9681. What is n(14)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6*n**3 + 229*n**2 - 2394*n + 2196. Let s(a) = 3*a**3 - 115*a**2 + 1197*a - 1095. Let f(c) = -2*k(c) - 5*s(c). Determine w, given that f(w) = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/5*240\/(-168)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 4. Suppose -4*x - 36 = -4*w, -w - i*x = 4*w - 5. Solve -3*m = -o + 9, -m = -2*o + o + w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -316.9194 + 317. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1018 divided by -4.\nAnswer: -509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2914016109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -17*c - 9*c + 24*c + 31. Let g be z(18). What is the tens digit of 25*(g + -8)*4\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 27. Let l(q) be the third derivative of -1\/24*q**4 + 0*q - q**u + 0*q**3 + 0 + 1\/120*q**6 + 0*q**5. What is j in l(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1107758?\nAnswer: 2, 673, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29.8 - 30. Sort w, -4\/3, -0.5 in decreasing order.\nAnswer: w, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1945340 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2668 + 5462. Round y to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 7*w - 5\/2*w**2 - 2\/3*w**3 + 1\/3*w**4 + 0. What is the remainder when d(4) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 - 34. Solve -174*k**2 + 88*k**2 + 89*k**2 + m + 15*k = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of -a**5\/5 - a**4\/2 + 7*a**3\/3 - 2*a**2 - 20. Let t(p) = 0. Calculate p.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -3026.66.\nAnswer: 1513.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 6:18 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 2*x**2 - 4*x - 1. Let t be y(-3). Suppose -104 = -t*s - 34. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.23 + -1.23. Let f = -49 + 48.6. What is the closest to 0.3 in f, g, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - (-11 + 1 + (-67 - -74) - -8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -216, 0, 52, 4 in descending order.\nAnswer: 52, 13, 4, 0, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245)\/(sqrt(175) + sqrt(7)) + 1*sqrt(2240))\/((sqrt(5) - (sqrt(175)\/sqrt(5))\/sqrt(7)) + (sqrt(5) - (sqrt(125) + sqrt(125)*1))))**2.\nAnswer: 16807\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*o**2 + 7*o + 96 with respect to o.\nAnswer: -4*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 875 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**5\/3 + 10*v**4 - 547*v**3\/3 + 2896*v**2\/3 - 2020*v + 4400\/3 = 0.\nAnswer: -44, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do -15 and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**3 - 2*g - 1. Suppose 2 - 21 = -u. Let h = u - 20. What is r(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**2)**7*s**10\/(s\/(s\/s**(-10))) assuming s is positive.\nAnswer: s**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 217*t + 5. Let i(h) = -208*h - 6. Determine -4*i(k) - 5*w(k).\nAnswer: -253*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-1\/6)*x*x*x**(-3\/10)*(x\/x**(-1))**(-6\/7)*((x**0\/x)\/x)**(-18)\/(((x**(-2\/11)\/x*x)\/x)\/x*x**5) assuming x is positive.\nAnswer: x**(38116\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4\/22 - (5110\/(-3234) + (-5)\/(-15))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.01 and -247551966.\nAnswer: -247551966.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 74405 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 1397 + 67*n - 1239 - 2*n**2 - n**2.\nAnswer: -2*n**2 + 67*n + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1408822932.\nAnswer: 2, 3, 11, 43, 47, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -303*v**4 + 4*v**2 + 53*v wrt v?\nAnswer: -7272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 2431003.\nAnswer: -4862006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9303 by -10453.\nAnswer: 9303\/10453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 6) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 894870.\nAnswer: 2, 3, 5, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.7 + 2.7. Let g = -4.08 - 0.92. Which is the nearest to -0.1?  (a) i  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1362085894.\nAnswer: 2, 13, 5939, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -62 (base 8) to base 9\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5 and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -221 - -221?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h - 19. Let b(q) = q + 5. Let j be b(7). Let r be 4\/6 + 100\/j. Is 13 a factor of o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65.8 - -75. Let g = -8.2 + x. Sort g, -2, 0, 1\/8 in descending order.\nAnswer: g, 1\/8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1796 + -1790. Solve -5*g = -s*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 AM and 6:32 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -1 - (-15 + (-19 - -60) - (9 + 1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-9) - 670\/3. Let j = b + 328. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) + (-2*sqrt(136) - sqrt(136))*2 + sqrt(136))\/(sqrt(288)*-2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2301167 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) + -1*sqrt(132))*2 - -1*sqrt(132)*1)\/(-4*sqrt(24)\/sqrt(2) + -2*sqrt(12)*1).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*w + 6*w - w**2 + 6*w)*(-2*w + 3*w + w).\nAnswer: -2*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9.1 - 9. Let g = 0.3 - j. Let u = g - -0.3. Which is the third biggest value?  (a) u  (b) -3\/4  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 AM and 7:17 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -111, 7.6, 0.01 in increasing order.\nAnswer: -111, 0.01, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*q - 14. Let u(l) = -2*l**2 - q + 8 - 6*l - 1 + 0. Give u(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gddggdddggdddd. What is prob of sequence dg?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1799 and 6.\nAnswer: 10794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 337 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -4*x - w, 2 = 6*x - 8*x - 5*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 54115 + -405?\nAnswer: 53310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 161220 and 429920?\nAnswer: 1289760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 16899, 16868, 16857, 16878, 16943?\n\"Answer: 2*y**3 - 2*y**2 - 39*y + 16938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-400582)\/12493 + 32\/1\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m. Let t(b) be the first derivative of -3*b**2 + 16. Give t(h(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -5*v**2 + 3*v + 12. Let o be q(4). Let m = 32 - o. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of v**2 - v + 10. Let y be q(2). Suppose -y*p + w + 15 = -2*w, 5 = 3*p - 5*w. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*z**3 - 5*z + 0*z**3 + z**3 + z wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 126293434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*((p*p\/(p*p**(2\/3)))\/p)\/p)\/p**(-3)*p**(-1\/8)*p*p*p*p**(-2)*(p\/(p**2\/p))\/p*p**(-1\/2)*p*(p*p*p\/(p\/p**(-1)*p*p))**(1\/22) assuming p is positive.\nAnswer: p**(703\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 30 (base 11) to base 12\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 4. Let a(s) = -1. Let r(v) = -v**3 - 4*v**2 + 5*v + 4. Let m be r(-5). Let c(n) = m*a(n) + d(n). Let u(w) = 3*w + 3*w - 8*w. What is c(u(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -308 - -316. What is the least common multiple of 12\/2 + (-1 - -1) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 11:29 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -152, -628, -1412, -2504?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 499670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 423405*m**3 - 144*m + 48. Let f(l) = 44569*l**3 - 15*l + 5. What is 48*f(t) - 5*h(t)?\nAnswer: 22287*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-7)*r*r**(-2\/45)*r assuming r is positive.\nAnswer: r**(-227\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -131, -12, -5, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2927770 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -581778, -1163550, -1745322, -2327094?\n\"Answer: -581772*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 15*p**2 + 14*p + 17. Let f be i(16). Let r = f - -38. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((88\/(-32))\/11)\/((-45)\/(-3060)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 8*h**2 + h - 11. Let o be q(8). Let s be o\/(-6) + (-15)\/(-6). What is the highest common factor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(32\/140)*(-6)\/(-15). Let s be (x - 10) + 1 + -5. Solve -o + s = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.12 - 5.19.\nAnswer: -5.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/6096 and -13\/12564.\nAnswer: 6382512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 3*y - 316 = 0, 145 = 5*c + 2*y - 243. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1066896100 rounded to the nearest one million?\nAnswer: 1067000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 2*y - 6*y - 20, -28 = 3*y + 4*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -6*y - 17. Let t be f(-4). Let r be -2 + (2 - t\/(-3)). Which is greater: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of 19*z**6\/120 - z**5\/10 + 5*z**4\/24 - z**3\/6 + 28*z**2 + 1. What are the prime factors of i(3)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.047 * 0.0537\nAnswer: -0.0025239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -106 (base 8) to base 4\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5322968562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 0. Let u be (-12)\/(-15)*((-15)\/(-6) - 0). Sort 5, u, g in increasing order.\nAnswer: g, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02498 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 7*n. Suppose n = 2*q - 4 - 46. Calculate the remainder when q is divided by 24 - (2\/(-9) - (1495\/(-45) - -24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7597817 + 18\nAnswer: 7597835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1555.8 + -1556.1. What is the second smallest value in t, -2\/3, 0, -397, -2\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 9 = 10. Which is bigger: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*x - x - 6*x**3 + 12*x**3 wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04679925 rounded to four dps?\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 742395061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 84969207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 0*v - 14. Suppose 17*i - 20*i = -s + 11, 0 = -s - 3*i - 7. Calculate the highest common divisor of s and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (60\/910)\/(42\/(-98)). What is the fourth smallest value in 0.5, -15, x, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3870388939 to the power of 1\/2, to the nearest integer?\nAnswer: 62212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 8*v**2 + 2*v + 5. Let r be n(-8). Let f = r + 33. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 13 + 21)*(g**2 + g**2 - 5*g**2)*(4*g**3 - g**3 - g**3)*(1 - 4 + 0).\nAnswer: 288*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -213*y - 283 with respect to y.\nAnswer: -213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -169?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 9*j + 199. Suppose -349 - 172 + 147 = 17*m. What is r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w + 3203. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 9:05 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8431660243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101032202231131 + 10?\nAnswer: -101032202231121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 6 + 3)*(-2 + 7 - 3)*(29*o**4 - 38*o**4 - 46*o**4) to the form r*o**2 + b + j*o + w*o**3 + d*o**4 and give d.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 147\/4 + -36. Suppose 5*j - 2 = 8. Sort a, j, -3 in decreasing order.\nAnswer: j, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60220531?\nAnswer: 7, 8602933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*x - 2250 = -182 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4207729?\nAnswer: 4207729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -55*s**2 - 190*s + 257. Give r(0).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**3 - 6*s**2 + 333*s - 963. Determine k(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**1))\/c)**(-9\/13)*(c\/(c*c*(c\/(c**(-2\/23)*c))\/c))**(-19) assuming c is positive.\nAnswer: c**(908\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, y: 1, b: 4, n: 3}. Give prob of sequence tbyb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-896)\/768 - (-13 + (-7847)\/(-114))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, -5, -416.\nAnswer: -416, -5, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*z = 211*z + 222*z - 13230 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-6)*3\/2 + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11.7982 and -0.092.\nAnswer: 11.7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + -100110?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -82*f - 7. Suppose 0 = -5*v + 5*p + 10, -5*v + 4*v = -3*p - 10. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**0*f**7\/f)\/(f**(-7)*f\/f**4) assuming f is positive.\nAnswer: f**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 45 = -5*x - 18, 3*x = 3*j. Let d = x - 0. Let f be 1 - (-1 - 0\/d). Sort f, 3, 5 in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = -3*b - 12, 0 = 2*s - 31*b + 27*b - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 915*n = 930*n - 15. Let v = 12 - 10. Which is the closest to n?  (a) 7  (b) 0.5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 404*i + 42 = 397*i. What is the remainder when ((-9)\/i)\/(18\/2196) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*((-5*o + o + 9*o)*(-4 + 5 + 0) - 3*o + 0*o + o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 848.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 9:27 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 11:53 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 14*n**2 - 7*n - 93. Let x be w(-14). Solve -v + 2*c = -2*c - 9, -15 = -5*v + x*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 4*r = 406. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.32 * -913.\nAnswer: 292.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27) + -2 + (sqrt(243)*-2)**2 + ((-1 + sqrt(432) - sqrt(432))*3 + (sqrt(432)*-2 - sqrt(432)) + -1)**2.\nAnswer: 291*sqrt(3) + 4874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 16*t**6\/15 + t**3 - 67*t**2 + 4*t + 85. Find the first derivative of c(u) wrt u.\nAnswer: 128*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/26*(-4)\/55?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9051 - -9051.2. Let u = -6 + -1. Which is the closest to -0.1?  (a) f  (b) -2\/7  (c) 1  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/198*213\/142.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 310 - -3961. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 773*f - 986*f + 5325 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 125961505 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 367  (b) 2\/9  (c) -3\/757\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*p + 4*p + 22 = -62 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 77 = -2*a, 3*a + 15 = -2*k + 127. What is the remainder when 563 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 121 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mommakccomcakkm. Give prob of sequence ca.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 11 - 11)*(-23*f + 16*f + 6*f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 24b2?\nAnswer: -24b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 60*p + 11. Let t(n) = 8*n. Let y(w) = f(w) - 6*t(w). Let z(o) = -6*o - 5. What is 3*y(v) + 7*z(v)?\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3*sqrt(1900)*-2*4*-6 + -4 + -1 + 3)**2.\nAnswer: 14400*sqrt(19) + 39398425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 12. Suppose c = 5*p - 11 - 4. Suppose p = -0*z + 3*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/24)\/(105\/(-15))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 8:10 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -172\/3, 2.5, 2.29?\nAnswer: 2.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*1 + (4 - (0 + -3)). What is the hundreds digit of (1\/b)\/((-3)\/(2 + -2006))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96947 = -533*d + 562*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**11*u))\/u**(-1))**23\/(u*u*u\/u**(-7)*u*u**8*(u**0)**(-1\/19)) assuming u is positive.\nAnswer: u**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -35*t. Let n(c) = 109*c + 75 - 22 - 15 - 22 - 17. Calculate s(n(f)).\nAnswer: -3815*f + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 254, 513, 770, 1025, 1278?\n\"Answer: -t**2 + 262*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 878754178 to the nearest integer?\nAnswer: 29644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 - 25. Suppose -2*d - 4*b = b - 12, -d = 3*b - 6. Suppose 0 = d*y - y + 5*s - 205, -5*s - 65 = -y. Solve -5*p = -3*p - t, -5*p + y = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56840 and 3500.\nAnswer: 1421000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 11:30 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 565119139?\nAnswer: 13, 101, 127, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -2*f. Let z = f + 4. Let v = 19 + -14. Solve 0 = -s + z*t - 3, 3*s - 2*s + v*t = -3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 5, 2, -1 in increasing order.\nAnswer: -1, 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -r**3\/6 + 5*r**2 - 2*r. Let l be j(5). Let y = 39 - l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70142, 140307, 210472, 280637, 350802, 420967?\nAnswer: 491132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 485998, -0.1 in ascending order.\nAnswer: -0.1, 1\/6, 485998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 57711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 - 67\/2. Let v be (-22)\/(-6) - (6\/21)\/(90\/210). Factor -w*b**2 - v*b + 7\/2.\nAnswer: -(b - 1)*(b + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 121405732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*l + 6 = -30, 4*l = -2*v + 12. Let d = 19 - -28. What is the remainder when d is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 + 155. List the prime factors of j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 2*a - 1. Suppose -4*n = -4, -5*b = -4*n + 3*n + 31. Let r be f(b). Suppose r*t - 22*t = 10. Solve c + 3*l - 5 = -0, 2*l = c + t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/5)\/2 + 7. Let v(c) = -c**3 + 5*c**2 + 6*c + 3. Let t be v(g). Differentiate 8*s - t - 8*s + s**2 - 6 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x - 5*x - 2*x - x. Calculate the remainder when l(-7) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 5*h**2 - 3*h - 1. Let r(c) = -c**3 - 7*c**2 - 7*c - 1. Let f be r(-6). Let n be (f\/10)\/((-1)\/(-6)). Is s(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*i + 1 - 2 + 1 in the form q + o*i and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*c - 16*c**2 - 4*c - 2*c - c - 52*c**2 as i + u*c + d*c**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of 67*u**4\/12 - u**3\/6 - 7*u**2. Let l be ((-2)\/6)\/(1\/(-3)). Is i(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4148907598?\nAnswer: 2, 11, 67, 2814727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.048 - -0.452. What is the nearest to 2\/5 in -4\/5, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w**(-1\/20)*w**(-10))**(1\/17))**7 assuming w is positive.\nAnswer: w**(-1127\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-126)\/(-33) + 2\/11. Suppose -99 = -z*o + 33. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 42 = -4*g. Let d = g - -16. Let i be 0\/((-12)\/4 - d). Let h(j) = j - 9. Calculate h(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 6:25 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from poototttototompbmott. What is prob of picking 1 p and 1 t?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1358 + 590. What is the remainder when p is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.00234 + -0.027668. Let w = r - -0.03. Round w to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1773758058 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 6*m**2 + 4*m - 5. What is l(-6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47*y**4 + 2*y**3 - 12441*y - 11962340.\nAnswer: -188*y**3 + 6*y**2 - 12441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -3*g - v + 14, -2*g = -5*v - 18. Let -4*r**g + 12855*r**3 + r**5 + 8*r**2 + 3*r - 12857*r**3 - 4 - 2*r = 0. Calculate r.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 27*z**2 - 280*z + 2. Let p be t(-8). Let l = -231\/970 + -6\/97. Which is the fourth smallest value?  (a) 0.2  (b) l  (c) p  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 321\/(30495\/266)*(-5)\/7*(-3)\/(-43).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 50\/14 + -13 + 174\/14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 j, 1 f, and 1 e when four letters picked without replacement from fceqj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43 + 3*q**2 - 3*q**2 + 13 + 13*q**3 + 73*q**3 - 2*q wrt q.\nAnswer: 516*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 0 - d**2)*(-46*d**2 + 38*d**2 + 20*d**2 + (-2*d - 3*d + 4*d)*(-d + 5*d - 5*d)).\nAnswer: -13*d**4 + 39*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*y**3 + 160*y**3 - 82*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -260 = -6*w + 10*w. Let i = 384 - w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a*a**(-3\/2)*a))\/(a*(a*a**4*a)\/a))**(-1\/4))**(-20) assuming a is positive.\nAnswer: a**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6111967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of 3 + 0*y + 2\/7*y**2 + 1\/14*y**4 + 2\/7*y**3. Factor l(w).\nAnswer: 2*w*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18359473 to the nearest integer?\nAnswer: 4285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -76.4 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104 and 454844.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 426269197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/5)\/((-27)\/(-30)). Suppose 4*q - 3 = 5*p, p = 4*q - p - 6. What is b in 2\/3*b - f*b**3 + 0*b**q + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9912 - 9911.9999965164. Round i to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*z + 6*z + 14. Suppose -2*r = -z*p + 6, 1 = r + 4. Which is smaller: p or -1\/48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**2\/3 - 48853*q + 7183792\/3 = 0.\nAnswer: -146608, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.63 + -13.13. Which is the fourth smallest value?  (a) q  (b) 2.1  (c) 0.4  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -586 - -414. Let t = j - -202. Solve -w + 3*u = 7*u - 16, 2*u = 5*w + t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 9 + 329\/(-141)*(3 + 2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 966147, 966146, 966145, 966144?\n\"Answer: -k + 966148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**4 + 3*d**4 - d**4)*(457 + 3663*d - 948 + 490).\nAnswer: -3663*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8066*b**3 + 9914*b**3 - 1844*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36\/5 - -262\/35. Let j = -236 + 240. Which is the smallest value?  (a) 1\/5  (b) j  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -821 - 2316 + 5002*n + 2238*n + 134 wrt n.\nAnswer: 7240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 7*z. Let v = 0 + -7. Let j be l(v). Solve j = f + 3*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 - -0.1331\nAnswer: -16.8669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + -1*sqrt(72)*3)\/(sqrt(30)\/(sqrt(5)*1)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 162\/(-40) - -4. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 8448887 and 126733304\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 1. Let l(m) = -m**2 - m + 14. Let n(i) = l(i) + 4*t(i). Let b be n(-7). Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3*385\/(-140)*52\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 3, 45, -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 136844363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - 17*m**2 + 16*m - 4. Let b be h(16). Let l(s) = -4*s - 5. Calculate the remainder when 19 is divided by l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - -52. Suppose -5*i - p = -3*g, -4*g + 4*i + 96 - 16 = 0. Solve 3*o + n = -0*n - g, -5*o - 2*n - 30 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**4\/2 - 32*f**3\/3 - 153*f**2 - f - 975. Find the second derivative of m(q) wrt q.\nAnswer: 12*q - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16 > -1537\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20*6*6\/(-90) + 891 is divided by 95?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 129162926 and 5394?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -7*q + 3*q. Suppose 4*c - 94 + 26 = 0. Calculate the remainder when c is divided by 2 - -1 - q\/(6 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = m + m. Suppose 0*w - m = -w. Suppose 3*l - w = 0, 4*l + l = 3*p + 10. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1921*o**3 + 3227*o**3 + 6725*o**3.\nAnswer: 8031*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*z + 1890 = 0. Let l = 1371 + z. Suppose p - 152 = -2*q - q, 5*p - 4*q - l = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/8 and 12\/7290*39 + (-4)\/(-5).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 176 in -2, 0.3, -0.125?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-5)\/r)**(2\/19)\/(r**4*r*r*r)**(12\/19))**9 assuming r is positive.\nAnswer: r**(-864\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 223804002 to the power of 1\/2, to the nearest integer?\nAnswer: 14960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 2) + 6 + 58 + -58 + 73.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 23454978*q**2*x - 45531389*q**2 wrt x?\nAnswer: 23454978*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)*-3 - sqrt(10))\/sqrt(2).\nAnswer: -19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -1  (c) 6.709  (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 + o**4 - 5*o**4 + (o**3 + 0*o**3 + 2*o**3)*(2 - 2 - o).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -7264 and -7171 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -54+-0.0041545\nAnswer: -54.0041545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 3:09 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 h, 1 t, and 1 k when four letters picked without replacement from brtkrrtbbtbdhb.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 5*r**3 - 15*r**3 - 75*r + 8*r**3 to the form u*r**2 + q*r + i + c*r**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + 2 + -66 + 75?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 2, -5, -8 in descending order.\nAnswer: 4, 2, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.9 - -0.6. Let z = 123.353 - 123.553. Which is the third smallest value?  (a) 2\/11  (b) z  (c) 0.06  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 5*a - 5. Let v be h(0). Let t(z) = 9*z - 5. Let c(g) = 7 - 6*g + 5 - 16*g. Suppose -3*y = -0*y + 36. Calculate v*c(i) + y*t(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - -1) + (2 - (-30 + 26)) - 27.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*f - 156 = -88 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -5*f**5 - 55327*f**4 + 88578*f**3 + 464742*f**2 - 796797*f + 298809 = 0?\nAnswer: -11067, -3, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1176 times 2\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlelajsajlslsallal. Give prob of picking 1 s and 1 l.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 493642473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {q: 4, b: 4, v: 8, x: 3}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000193709 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 106242 - 162?\nAnswer: 106050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -8*l**2 - 4*l**2 + l + 5*l**3 + 3*l - 4*l**4 + 7*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 12 = -3*j. Suppose v = -j*v - 10. Is 2\/2 - (v - 8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1.83  (b) 5  (c) 0.4  (d) -3  (e) -3\/133  (f) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -410, -822, -1250, -1706, -2202, -2750?\n\"Answer: -2*x**3 + 4*x**2 - 410*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -5*i**4 + 930*i**3 - 5445*i**2 + 8100*i = 0?\nAnswer: 0, 3, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 6*r = -4*r + 22, -3*r = -15. Let j(y) = y**3 - 26*y + 12. Let t be j(z). Round t to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -166.6 and -0.063?\nAnswer: 10.4958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of i**2 - 191. Let v(b) be the second derivative of -29*b**4\/6 + 12*b. What is v(f(g))?\nAnswer: -232*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 9*w + 133 = 0. Let d = 23 - w. Solve -d*j + 3*s = -2*s + 4, 16 = 3*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 12:50 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of b**5\/20 + 7*b**4\/12 - 231*b**2\/2 + 121*b. Differentiate t(a) with respect to a.\nAnswer: 3*a**2 + 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/336 + 12\/(15552\/(-666)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b25eaf (base 16) to base 12.\nAnswer: 3ab8a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101001010101 - -10110000?\nAnswer: 1101100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/2 in 0, 0.041, 8, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 25*21\/105 + -1. Let q(u) = -16*u + 21. Calculate q(s).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 - 10*u**2 + u**2 + (u**2 + 2*u**2 - 4*u**2)*(-5 - 6 + 9))*(-16*u**3 + 10*u**3 - 21*u**3).\nAnswer: 108*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 246 - 373*j**4 + 202*j + 248 + 49*j - 494 wrt j.\nAnswer: -4476*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2923550 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3611.725l in millilitres?\nAnswer: 3611725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 819 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 10)\/((-1)\/(-2) - 15\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 5*h = m, -4 = -3*m - 2*h. Solve -5*y + 3 = -m*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3 + 200*v**2 + 384*v.\nAnswer: 4*v*(v + 2)*(v + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 85296 or 3838381\/45?\nAnswer: 85296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (0 + sqrt(1331) - sqrt(11)) + sqrt(275)*-4*-2.\nAnswer: 1 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 425083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k = k + 720. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -106*l + 115*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81166870?\nAnswer: 2, 5, 2069, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-8)\/140 + (-9)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l*l\/l**(-2\/25)*l\/l**(-16))**(4\/7))**(-15\/2))**(2\/67) assuming l is positive.\nAnswer: l**(-6024\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1a8864 + -117?\nAnswer: 1a874a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2197649\/647240 + -17\/7355. Let j = 3\/11 + m. Let t = 13\/4 + j. Put 2\/15, 1, t in descending order.\nAnswer: 1, 2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -904 + 1559. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1649, -1553, -1495, -1475, -1493, -1549, -1643?\n\"Answer: -19*d**2 + 153*d - 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 498 - -172?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/27, 4\/413, 5, 1, -51 in decreasing order.\nAnswer: 5, 1, 2\/27, 4\/413, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m**2 - 18*m - 18. Let c(f) = f + 1. Let t(k) = k - 8 - 150*k**3 - 2 + 18*k**2 + 152*k**3 - 2*k**2. Let j be t(-8). Calculate j*c(x) - o(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t - 7*t + 6*t)*(4*t + 0*t - 3*t) + 0*t + 0*t + 2*t**2 - 2*t**2 - 4*t**2 + 5*t**2 - 2*t**2 + 1 - 1 + (3*t - t - t)*(-3*t + 2*t + 2*t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 - 55*d - 877. Let k be l(68). Calculate the greatest common factor of 2849 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of c**5\/60 - 7*c**4\/24 - 7*c**3\/2 + 92*c**2. List the prime factors of r(32).\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qmmq when four letters picked without replacement from oooqqmqm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 94 = -0*x + 7*x + 2*j, -17*x + 13*x - 40 = -4*j for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of i**3\/6 + 2*i**2 - 92*i. Calculate y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 0*m = 0. Suppose c + 26 + 15 = m. Calculate the common denominator of -51\/22 and c\/(-8) + (-5)\/(-20).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of 7*z**5\/60 - 43*z**2. Let x(a) = -3*a. What is u(x(c))?\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/((-34)\/(-4) - 1). Which is the nearest to 1?  (a) 0.4  (b) h  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 - 21*o**2 - 47*o - 16. Calculate y(-18).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 83938 * -0.17\nAnswer: -14269.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26223 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/(-4))\/(3\/8). Let m = 10 + p. Let l(w) = 18 + w**2 - 14 - 16*w - 19*w + 42*w. Determine l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 2*m - 91, 276 = -6*h + 9*h + 5*m. Let q = h - 74. Calculate the remainder when 88 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 7*q + 5. Let b be r(5). Suppose -3*u = 4*p - 235, -b = 4*p + 5. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 865.3415 nanograms to milligrams.\nAnswer: 0.0008653415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8174 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: Collect the terms in 31*b - 35*b + 27*b.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w = -7*w - 68. Let r = -4 - 1. Let n = r + w. Calculate the greatest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1 + (sqrt(432)\/(sqrt(32)\/(1*sqrt(4))))\/(-6*sqrt(48) + sqrt(3) + (sqrt(60)\/sqrt(4))\/sqrt(5)).\nAnswer: -3*sqrt(2)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 29057 times -0.54\nAnswer: -15690.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3 = 1. Suppose -n*q - 14 + 2 = 0. Let m(l) = -l - 2. Let w be m(q). Calculate the greatest common divisor of w and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175777 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, m: 7}. What is prob of sequence mwm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 5\/8319726?\nAnswer: 5\/8319726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57986, 58235, 58486, 58739, 58994, 59251, 59510?\nAnswer: 59771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 351184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = 5*x + 6*z - 36, -46*x - 5*z - z - 51 = -51*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -27*d + 14. Let u be t(16). Let f be (-4)\/14 - u\/1806. Let k = 1856\/129 + f. What is the common denominator of 103\/10 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2690\/630 - (-4)\/14 and 47\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = m + 30. Let g = -4 - m. Put 4, g, -5, 0 in descending order.\nAnswer: g, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 68362 and 68362 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 - 4 + 4)*(613*g - 338*g - 330*g) to the form r + f*g and give f.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o + 9. Suppose -z = -6 - 2. Let f be a(z). Let t(m) = -2*m - 2. What are the prime factors of t(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -4*t + 4, -6*u + u + 4*t = -41. Let r(x) be the first derivative of 0*x**2 + 2 + 0*x**4 - 3\/5*x**u + 0*x**3 - 5*x. Differentiate r(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*q**5\/7 - 188*q**4 + 2145*q**3\/7 - 116*q**2 + 68*q\/7 = 0.\nAnswer: -17, 0, 2\/17, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 31*g**2 - 6*g - 16. Is b(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 33. Let h be 4\/10*(-9)\/6. Let p be 2\/5 + (-27)\/5. What is the nearest to d in 0, p, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from rooororooo.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 1697*b + 11. Let t(k) = -8*k. Calculate t(f(a)).\nAnswer: -13576*a - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/11*106\/(-742)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 3:55 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of u**5\/12 - u**4\/8 - u**3\/3 + 3*u**2. Let p(l) = l**3 + 4*l**2 - 7*l - 7. Let x be p(-5). Does 17 divide i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 - 2)*(-214*m + 214*m + 6*m**3).\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 31\/2 of a millennium?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*(-2)\/18*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*p**3 - 168*p**3 - 474*p**3.\nAnswer: -529*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2. Let i(z) be the first derivative of -4 - 1\/3*z**3 + 0*z + 0*z**2. What is c(i(m))?\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 22. Let f be (-5)\/15 + 75\/n. Solve 17 = 5*i + 4*d, 2 = -2*d + f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*z = 32*z + 215881. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -43*k + 132. Let r be s(3). Suppose -6 = 5*z - 41. Calculate the greatest common factor of z and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/40 - (-33)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*6\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, d: 2, x: 1, s: 5, g: 1}. What is prob of sequence gnsd?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-24)\/(-16)*40\/6. Suppose 0 = -2*v - z + 8. Let o be (4\/16)\/(2\/16) - v. Solve 9 = -3*w + o*q, -5*q - 3 = -2*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*a = -1 - 8, -p - 6 = -3*a. Suppose 3*j - 6 = 0, p*j = c + j - 1. Suppose -g = -0*g - m + 17, -m = -c. Sort -2, g, 0 in descending order.\nAnswer: 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6603 is divided by 199.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.6 + -3.638. Let h = -2.862 + u. Let d = h - -3. Put -1, d, 0.5 in ascending order.\nAnswer: -1, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -287, -1122, -2513, -4460, -6963?\nAnswer: -10022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -2*i + 6*p + 8, 5*i + 8694*p - 8689*p = -25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 183829 and -516.\nAnswer: -94855764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12143034 (base 5) to base 15\nAnswer: 242ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.14 - -0.46. Let a = g - -0.18. Put 2, -0.2, a in descending order.\nAnswer: 2, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/20)\/(-3 - -2). Let s = -1\/5 - b. Put s, 3, -5 in ascending order.\nAnswer: -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 5. Let a be (12\/15)\/((-12)\/30). Which is bigger: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 8*f + 1 - 12*f**2 + f**3 - 21*f - f**2. What are the prime factors of i(14)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -8*n - 20. Let b(f) = 5*f + 10. Calculate -7*b(a) - 4*s(a).\nAnswer: -3*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -445 (base 6) to base 9.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 56551761631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.038 + -7.138. Let k = y + 1.1. Let r = -5.5 - k. Which is greater: -1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 10:33 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -10*v - 115. Let q be (-1)\/(2 - (-33)\/(-15)). Suppose 5*l - 10 = 0, -3*l + 1 = q*x - 35. What is the remainder when g(-13) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.06 + 5.06. Let z = s + -5.00000011. Round z to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 10*o**2 - 11*o + 7. Let m(y) = 37*y + 213. Let a be m(-6). Determine g(a).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-2))\/(136\/51).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**6\/360 + d**4\/12 - d**3\/2 - 2*d**2. Let b(p) be the first derivative of m(p). Differentiate b(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 622, 832, 1042, 1252, 1462, 1672?\n\"Answer: 210*g + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/(-38)*3\/(-126)*-7. Suppose g = 11*g + 10. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 0*x + 0*x)*(-8 + 5 - 4)*(3*x**2 - x**2 - 4*x**2) - x**3 + 4*x**3 + 5*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 - -1255701?\nAnswer: 1255707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by -1480.\nAnswer: -11\/1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + 7*b - 14. Let g be q(-9). Solve -g*m - 15 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*2*sqrt(405) - ((sqrt(405) - (sqrt(405) + sqrt(405) + -1)) + -5)) + 3)**2*2.\nAnswer: -756*sqrt(5) + 7388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/13, -5, -554, -3, -0.4, 1\/61?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -337377*k**3*q**3 + 70*k**3 + 1427*q wrt q.\nAnswer: -2024262*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 27, 22, 17, 12, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 325780595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 1221*a**2 + 335654*a + 9. Give f(-418).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1070 (base 13) to base 15.\nAnswer: -a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -4, 0.1, 3\/7, -0.4 in decreasing order.\nAnswer: 13, 3\/7, 0.1, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 7*x**2 + 3*x - 4. Let v be r(7). Let c = 56 - 92. Let z be v\/c + (-15)\/(-60). Is z < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/(-16) + (-11)\/(-4). Let j be -1 - ((-6)\/(-4) + -2)*x. Solve -2*h + 10 = -j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -22002202120011?\nAnswer: -22002202120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.06, -3, -238, 5\/4 in descending order.\nAnswer: 5\/4, 1, -0.06, -3, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1.44*-6168\nAnswer: -8881.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27125 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ziii when four letters picked without replacement from iizzziziii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -232, -456, -684, -922, -1176?\n\"Answer: -u**3 + 4*u**2 - 229*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.21, 2\/11, -3\/7, 1\/61, 0, 6 in increasing order.\nAnswer: -3\/7, -0.21, 0, 1\/61, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -193*l + 30. Let o(f) = 966*f - 156. Let x(u) = -52*h(u) - 10*o(u). Let j(v) = 4*v**2. Determine x(j(q)).\nAnswer: 1504*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -q + 8. Let g be (-3)\/(q - -1)*-3. Let w(m) = -m**3 - 2*m**2 + 2*m. Calculate w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1117.041616733 - -0.1?\nAnswer: -1116.941616733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) - (-1*sqrt(297))\/sqrt(9))\/(5*sqrt(9)\/sqrt(3)))**2 - (sqrt(11) - -5*sqrt(176) - sqrt(66)\/(sqrt(12)\/sqrt(2))).\nAnswer: -20*sqrt(11) + 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2346)\/2346)\/((-3)\/(-90))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -159, -341, -563, -825, -1127, -1469, -1851?\n\"Answer: -20*n**2 - 122*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18740861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 119*548\/(-685)*(-20)\/14?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130 (base 5) to base 15.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00015843 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -4, 0.5, 0.154, 13.\nAnswer: -13, -4, 0.154, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 16) + 5 - (0 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g + 4. Suppose 2*m - 204 = -2*s, 4*m + 2*s - 301 - 109 = 0. Let h(v) = v + 0*v + 100 - m. What is 3*h(t) + 2*n(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 75545885?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**2 + 4*y + 30 = 0. Calculate y.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 293 = -3*v + 2*r, 3*r = 2*v + 192. Let y be (-216)\/v - 4\/22. Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 15143*y + 1. Suppose -3*q = -3*u + 15, 0 = u - 4*q + 4 + 6. Let k = 3 - u. Let o be m(k). What is o rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 631 - 5683\/9. What is the biggest value in 0.2, -2, q, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 655320096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1155 + -1154.88105. Let u = -1.39815 - j. Let r = -1.51 - u. Round r to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38.75 + 38.704. Put -3, 0.1, r in decreasing order.\nAnswer: 0.1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -o**4\/4 + 2*o**3 + 4*o - 2. Let y be m(6). Solve y*a - 1 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -y**4\/7 - 137*y**3\/7 + 718*y**2\/7 + 1124*y\/7 - 1704\/7 = 0.\nAnswer: -142, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10010 and 574938.\nAnswer: 31621590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/90 and -17\/355169520.\nAnswer: 355169520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 5\/20*4. Suppose 5*w - 8 - 2 = d, -4*w - 283992 = -4*r. Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000048845 rounded to 6 decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4060120 or -4060097?\nAnswer: -4060097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + w - 20 = 3*w, 2*t - 5*w = 14. Suppose 72*m - 236 - 124 = 0. Which is the closest to -2\/3?  (a) t  (b) -0.2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46 and -85\/707984.\nAnswer: 707984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (-3*sqrt(65)*-1 - sqrt(65))))\/(sqrt(5) - 6*sqrt(20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 + -0.2. Suppose 3*i - 1 = -2*c + 3*c, 5*c = 3*i + 19. Let j be 1 + i\/((-52)\/30). What is the biggest value in j, -2\/3, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009520022341 to 7 dps.\nAnswer: 0.0000952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -60?  (a) -0.64  (b) -0.5  (c) 0.3  (d) 4  (e) 5  (f) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -5*z**3 - 1856815*z**2 - 172390882400*z - 517155936000 = 0.\nAnswer: -185680, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 71968 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9900 and 2376?\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 + -62. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*x**3 + 880*x**2 + 3022*x + 444.\nAnswer: -2*(x - 37)*(x + 3)*(13*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31983*x**3 - 10*x**2 - 48*x + 3.\nAnswer: -191898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 1) + -12 - (-156 + 241 + -167).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 77 + -35. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of k**7\/2520 + k**4\/6 - 2*k. Let a(d) be the third derivative of v(d). List the prime factors of a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -267360 divided by -17824\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 7*m - 3. Suppose -q - q = -4*t + 6, -5*t + 3*q + 6 = 0. Let p = t + -2. Let g be p\/(-3) - (-57)\/9. Determine i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7279.5 and -0.3.\nAnswer: -7279.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + -36ad2?\nAnswer: -36aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**2 - 12*s**2 - 2*s**2)*(s + 3*s - 3*s) + 6*s**3 + 2727 - 2754 - 8*s**3.\nAnswer: -13*s**3 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 5 + 3*o - 8)*(o + 0 + 0) to c*o + j + n*o**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1020022110 (base 4) to base 16.\nAnswer: 48294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2508316026?\nAnswer: 2, 3, 418052671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1744880401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3507)\/16533)\/((-7)\/6). Is 0 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -8*l + 21*l + l**2 + l**2. Let f(c) be the second derivative of -c**4\/4 + 277532*c. Calculate f(d(h)).\nAnswer: -12*h**4 - 156*h**3 - 507*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -35282 divided by 1357\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16915897?\nAnswer: 263, 64319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**2 + 3*c**2 - 2*c**2 - 1 in the form h*c**2 + x*c + m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 + 169 = m. Let n = m - 92. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*2\/2*7. Let n = d - 4. Suppose r - n*l = 24, 0 = -3*l - 3 - 6. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.46 take away 2548250088?\nAnswer: -2548250120.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1761884.28 rounded to the nearest 10000?\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41.961 - 42. Let n = v - -0.207. Round n to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 7 = -2*j - 3, 3*l = -2*j + 8. Do l and -0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4 = -r + y, -2*r - 4 = 4*y. Let x(a) = 31*a - 5. Let j(f) = -6*f + 1. Let k(z) = r*x(z) - 11*j(z). What is the derivative of k(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 939294458*o*v**3 - 141*o*v**2 - 22*o*v - o + 7*v - 6 wrt v.\nAnswer: 5635766748*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -308  (b) 0.1  (c) -0.1  (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5864 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from moooomoooommoooomo. What is prob of sequence mooo?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -241 - -235. Let h(q) = q**3 + 8*q**2 + 10*q + 2. Let k be h(t). Calculate the greatest common factor of 574 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1072 + 1072.5. Let a(i) = i**3 + 9*i**2 + 8*i + 1. Let t be a(-8). What is the second biggest value in 10, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -556 + 968. List the prime factors of q.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/11, -116, 5417?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 6. Let q be (6\/(-15))\/(u\/10). Suppose -21 + 5 = -q*t. Solve t*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112*a**3 - 172*a**3 - 200*a**3.\nAnswer: -260*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3442)\/(-18) - (-4)\/(-18). Let b(v) = v**3 - 12*v**2 + 27*v + 5. Let n be b(9). Suppose 4*t + 7*h - l = 2*h, -211 = -n*t + 3*h. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/4 and 9\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 1342\/44 + (1 - 10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-4\/13)*c*c*c)\/(c\/c**1) assuming c is positive.\nAnswer: c**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of o**7\/91 + 59*o**6\/195 + 277*o**5\/130 - 53*o**4\/26 - 280*o**3\/39 + 100*o**2\/13 - 2*o - 25. Solve c(j) = 0 for j.\nAnswer: -10, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 125171\/14 + -8941. What is the third biggest value in h, -4, 1\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*v = 36 + 88 + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b - 5*b + 12*b. Let s(g) = -2*g. Give f(s(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 907 - 116 = 7*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -6*q + 3. Let j be y(-4). Let m be -2 - (0 + -411) - 4. Let n = m - 403. Solve -5*p - n = -j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 2*x + 8, 0 = -2*m + 2*x + 2*x + 26. Suppose 2 = -o, 132 = -3*s + m*s + 2*o. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.95 + -1.95. Let g = s - -9.9. Let x be (-10)\/(-8) + -1 - -1. What is the closest to g in -5, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**2\/9 - 22*r\/9 + 320\/9 = 0.\nAnswer: -32, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 173.2 + -173. What is the nearest to -0.1 in -1.2, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -96*o - 17 - 21 + 36 - 5*o + 4*o + 2*o + (-1 - 5 + 4)*(-4*o + o + 2*o).\nAnswer: -93*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8*(-12)\/16*(-32 + 1). Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 321470 and 5490?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p + 5*p = -36. Let h(b) = 2*b - 12. Is h(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-376)\/(-423)*-3*-2*1\/4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4733 - 4731. Let v(q) = -4*q**3 - q**2 - q + q**3 + 5*q**3 - q**3. Let s(c) = -3*c**3 + 7*c**2 + 2*c. Determine o*v(t) + s(t).\nAnswer: -t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1.636521mg?\nAnswer: 0.000001636521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2852, 20396, 67314, 158294, 308024, 531192, 842486, 1256594?\nAnswer: 1788204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8654681 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-30)\/(-7) - (5 + (-165)\/35). Suppose 5*x = -2*s + 284, 0 = -4*x - c*s + 2*s + 226. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add 33619 and -0.3.\nAnswer: 33618.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/7)*m)\/((m*m\/m**1)\/m*m)*(m\/m**17)\/m**(13\/7))**(-9\/10) assuming m is positive.\nAnswer: m**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1245371, 2490539, 3735701, 4980857, 6226007?\n\"Answer: -3*u**2 + 1245177*u + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/2091 and 109\/11152?\nAnswer: 33456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -2536?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 t when four letters picked without replacement from {c: 4, f: 1, t: 8}.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 379*r + 25*r**2 - 59 - 31*r**2 + 405 - 379*r in the form y*r**2 + u + c*r and give u.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -22 less than or equal to 116098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37494, -74989, -112484, -149979, -187474?\nAnswer: -224969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60 + -55. Suppose -17*h - 27 = -61. Solve c*f + h*r + 2 = r, r + 2 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 26815 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -4*z**2 - 2*z + 3. Let g(d) = -6*d + 1 + 4*d - d**2 + d + d**3. Let p(l) = -f(l) + 3*g(l). Let t be (3 + 8\/(-3))*-1*-3. Calculate p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07953133 - 1.325\nAnswer: -1.24546867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13 is divided by 9\/(-6) - (-115)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 14, 44, 94, 164, 254, 364, 494?\n\"Answer: 10*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 10*u + 5*u + 3)*(0 + 3*u + 0) as l*u**2 + y + x*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 176 + 5314. Is z a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2462604 or -2462603?\nAnswer: -2462603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-77558)\/(-471) + (-1)\/(-3). Solve -u + 162 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 4 - -6 - (-3 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = z - 5*d, 5*z - 2*d = -0*d + 52. Let b(h) = -h**2 + 18*h - 35. Is b(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1563 - -8?\nAnswer: 156b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 2:55 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*w**2 + 403 - 2*w + 418 - 821 + 2*w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 35*g - 16. What are the prime factors of w(6)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-15)\/(-10))\/(330\/490424) + 12\/15.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 5*z - 11, z - 1 - 6 = j. Let r be 0\/((j\/(-14))\/((-12)\/(-84))). Solve r = 3*c + 15, o - 4*c = -4*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -451 + d**2 + 49*d - 462 + d**2 + 922 - 44*d. Let c(s) = 3*s**2 + 5*s + 10. Calculate -4*c(l) + 5*f(l).\nAnswer: -2*l**2 + 5*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 30066 (base 9) to base 15\nAnswer: 5cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (9*(-4)\/(-18))\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 2) + 2 - 11. Let h be g\/(-90) + 2 + -2. Which is the smallest value?  (a) -2  (b) h  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 22843578, 22843592, 22843606, 22843620, 22843634, 22843648?\n\"Answer: 14*k + 22843564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - -16) + 1 - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*j**3 - 27*j**2 + 41*j**3 + 1 + 33*j**2 + 0.\nAnswer: -125*j**3 + 6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 3:37 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2401124244 (base 5) in base 10?\nAnswer: -5489324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3505 and 23169?\nAnswer: 81207345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.55437195897 minus 14?\nAnswer: -13.44562804103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k**2 - 2*k. Let n be s(2). Let h = -1 + n. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126687013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-3 - (-33)\/12). Suppose 0 = 3*y + 2*y - c*v + 20, -v + 5 = y. Suppose 4*w + 4*n = 136, y*n - 64 = -w + 5*n. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1776987?\nAnswer: 3, 347, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 3*p - 52. Let c = -141 - -186. Calculate the remainder when c is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/54*((-15198)\/238 + 61)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 40113510 divided by 1337117\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -114 - -184. Let g = d + -70. Let t(m) = 2*m**3 + g*m**2 + 0*m**2 + 2*m**2 + 3*m**3. Let c(l) = -16*l**3 - 6*l**2. Give 3*c(a) + 10*t(a).\nAnswer: 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5*(-1 + sqrt(432) - sqrt(432)) + 5 - (-3 + sqrt(432)*1*-2))**2*-4*6.\nAnswer: 10368*sqrt(3) + 125064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 543326 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14881\/15 + -992. Let d = -8 - -7.7. Which is the smallest value?  (a) 1\/4  (b) p  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24062 + 24062.00066624. What is t rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -2151*f**5\/10 + 1088*f**2 - 1103*f - 3. What is the first derivative of v(r) wrt r?\nAnswer: -12906*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-7)\/1)\/((-441)\/63))\/((-2)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 48, 90, 148, 222, 312?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2360001*t**3 - 2*t**2 + 1. Let h be c(-1). Suppose 3*b = -b - h. Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7348 - 6617. What is the highest common factor of 255 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63229759.\nAnswer: 63229759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -128172 divided by -10681.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 653797.\nAnswer: 653797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/78 and -91\/204?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-2)*(3 - 14). Let m be (8 - 6)\/(0 - -1). Find the first derivative of k - 4 + m*b + 2*b - b wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**4 + 22823*c**3 + 2*c**2 - 801332*c.\nAnswer: -24*c**2 + 136938*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (k - 5*k + k)*(0 + 1 + 0) - 5*k + 0*k + 4*k + (2*k + k - 5*k)*(4 + 3 - 5) as f*k + j and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**3 - s + s - 2*s**2 - 28709 + 28485 + s to the form b + h*s + n*s**2 + g*s**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 987738 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1455614609 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.070069 times -217\nAnswer: -15.204973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, p: 7, j: 2}. What is prob of sequence oop?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 71 - 74. Sort -5, v, 0.4, 0.3.\nAnswer: -5, v, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -834, -836, -838, -840, -842, -844?\n\"Answer: -2*n - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00074055434 to 7 dps.\nAnswer: -0.0007406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/5 + 1328*t - 1102240 = 0 for t.\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1220\/14*7903\/(-5645)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 37, 16, -19, -68, -131, -208?\n\"Answer: -7*v**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12605?  (a) 0.3  (b) 0  (c) 1  (d) 3  (e) -3.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -19*o - 4. Let a be w(-4). Let z = a + -18. Calculate the greatest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1045.8 - 1046. What is the closest to -4 in 0.1, y, 5, 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of m**3\/3 - 8*m. Let z(o) = -2*o. Suppose -3*n - y + 13 = 0, n - 3*y - 11 = -0*n. Calculate n*z(d) + 4*g(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91515.06ml to litres.\nAnswer: 91.51506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= -6\/899686423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of 11*g**5\/60 + g**4\/12 + g**3\/3 - 21*g**2. Does 10 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 96 or 2412\/25?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 5:22 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24 + -22. Suppose 2*u - 16 = -2*u - j*g, u - 11 = -4*g. Solve 4*y - 3*z + 8 = -y, -z = -u*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2076 and 9732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.617218 and 27?\nAnswer: 16.664886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 37*r. Let c be q(5). Suppose -3*n = -5*w + c, -2*w + 3*n + 49 = -w. What is the remainder when 133 is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2*r - g + 6, -2*g = -4*r + 12. Suppose 4*v + 84 = 5*y, -13 = -y - 4*v + v. Let d = y - 7. Calculate the highest common factor of d and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 11. Let u(s) = s**3 - 3*s**2 - 3*s - 11. What is the remainder when 70 is divided by u(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 3. Let m = p - -3. Suppose -c = m*f + 3 - 1, -2*c = 2*f - 12. Calculate the least common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + -1211012002212022?\nAnswer: -1211012002212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(152)\/(sqrt(512) - sqrt(32)))**2 + 4)*5*3.\nAnswer: 560\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 16*j**2 - 19*j + 37. Let o be c(17). Let t = 6 - o. Factor 45\/4*a**4 - 3*a**3 - t*a**2 + 0*a + 0.\nAnswer: 3*a**2*(3*a - 2)*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fpppuuupuu. What is prob of picking 1 p and 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**4 - 22038*x**3 + 663753*x**2 - 641712*x = 0.\nAnswer: -7376, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*w - 5. Let y be 5*(1\/(-4) + 22\/(-40)). Let n be (-3)\/((-6)\/y)*(-93)\/62. Calculate the greatest common factor of n and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-3)\/(s*s*s\/(s*s**(-2\/31)*s*s)))\/(s**(-4))**(-1\/19))**(-36) assuming s is positive.\nAnswer: s**(69444\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -54 + 65. Let x be (-4)\/2 + 9 + -5. Let y be 3\/(o*4\/16 - x). Solve c - y = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*4\/(-32)*3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1 + sqrt(1377) + -2 - (sqrt(1377)*-3 + sqrt(1377) + -3)))**2*2.\nAnswer: 99144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 2*h + 40 = 0. Suppose 0 = -3*r - 12, -a + h = -r + 2. Suppose 0 = -a*t + 5003 + 783. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582155758 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 44550686*l**3*p - 6*l**3 + 875*l**2 - 4801*l wrt p?\nAnswer: 44550686*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 8:55 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from qqseeeeqeqqseeqqeq.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -144720 divided by -360\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11162.\nAnswer: 2, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -420818369*d. Let o(u) = 2*u. Give o(y(i)).\nAnswer: -841636738*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4 = 4*t, -2*t - 2*t - 2*r - 16 = 0. Let h = 3 + -1. Let p = 1 + h. Which is the smallest value?  (a) 0.3  (b) t  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*4\/6 + -25. Let a = c + 55. Let u(d) = -d**3 - 5*d**2 + 4*d - 4. Let n be u(-6). Calculate the highest common divisor of a and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of 12*g**6 - 4*g**5\/5 - g**2 + 28*g - 476. What is the second derivative of v(d) wrt d?\nAnswer: 1440*d**3 - 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -12. Suppose -8 = 4*l - b. What is the tens digit of (-25)\/(3\/(l - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.03 - 3.31. Let r = z - 1.66. Let g = -10.1 - -10. What is the closest to g in 3, r, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 18*v**3 - 32*v**2 + 103*v + 2. Let q be l(4). What is the greatest common factor of q and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 61*v**3 + 5*v**2 + 2. Let y(n) = -206*n**3 - 18*n**2 - 6. Let l(t) = 10*w(t) + 3*y(t). Let s(i) = -23*i**3 - 12*i**2 + 6. Determine 8*l(a) - 3*s(a).\nAnswer: 5*a**3 + 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 12 = -3*w, -z = z + 2*w - 10. Find the first derivative of 136*i**3 - 171 + 106*i**z + 3*i**3 wrt i.\nAnswer: 735*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -13 from -1.03.\nAnswer: 11.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000044925 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1631223 and -0.3?\nAnswer: 1631223.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 16*k**3 + 2*k**2 + k. Suppose -25 = -143*n - 168. What is y(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/35)\/((-1)\/119).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*s + 8*s + 9*s**2 - 15*s - 19*s**2 as z*s**2 + x*s + q and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, -3\/4, 3, -52?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/17 - 6*r**2\/17 + 12*r\/17 + 16\/17.\nAnswer: -2*(r - 2)*(r + 1)*(r + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 215 in -3\/20, -1, -0.04, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1113 and 756.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1146 - -3338. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*m - 50*m - 14*m)*(5 - 12 + 836*m**3 - 838*m**3) as n*m**3 + s*m + g + a*m**2 + p*m**4 and give s.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2431 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 126*r - 7*r**4 - r**3 - r**2 + 2 - 120*r + 23*r**4 - 6*r to the form m*r**2 + f + b*r + a*r**4 + d*r**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 163193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 i, 1 m, and 1 q when four letters picked without replacement from {t: 4, i: 2, u: 1, q: 2, m: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -73\/31?\nAnswer: -73\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(4\/9)*k\/(k*k*k**2)*((k**4*k)\/k)\/k**(-3))**(5\/8))**4 assuming k is positive.\nAnswer: k**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 11) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 7:04 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24724291*z**3 + z**2 + 23*z - 18446 wrt z.\nAnswer: 148345746*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-1204)\/240)\/7 - (1691\/(-95) - -17)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85523?\nAnswer: 85523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.8035, 4, 3?\nAnswer: 0.8035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 2) + -4 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j + 1. Let w(s) = -2*s**3 - 10*s**2 + 5*s + 2. Let n(q) = 6*m(q) - w(q). Let d be n(-5). What is the tens digit of 124 + -1 + (-5 - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -m**4\/3 - 5*m**2 + 5*m. Let q(t) be the third derivative of -t**4\/12 - 2*t**2. Give a(q(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6456 + 6456.003002. Round v to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, -95.9, 12, -4, -5, 5 in increasing order.\nAnswer: -95.9, -5, -4, -3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v**2 - 12*v + 7. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, t: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - n - 2. Let q be w(0). Let v be q\/4 + 17\/(-2). Let r(f) be the second derivative of f**3\/6 + 7*f**2 + 2989*f. What is r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 0, -61, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p + 2. Let h be x(0). Solve -5 = -h*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-2)\/g)\/g*g)\/(g\/(((g\/(g**(-2\/13)*g)*g*g*g)\/g)\/g)))\/(((g*g*g**(2\/13))\/g)\/(((g**(-2\/5)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 108153804 and 1114.\nAnswer: 108153804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6008, -6136, -6434, -6986, -7876, -9188?\nAnswer: -11006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000000010111010 + -10?\nAnswer: -100000000010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 107525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/((-5 - -5) + -2). Solve n = 64*r - 67*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 + 5*t - 5. What is the smallest common multiple of d(-5) and -14*((700\/49)\/(-2) + 4 + -2)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x + 2*x**2 - x**2 - 3*x**2 - 3*x - 4*x**3 to d*x + n*x**3 + l*x**2 + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -85 - -57. Let i = v + 28. Put i, -0.4, -0.5 in ascending order.\nAnswer: -0.5, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -25001  (b) 0.5  (c) 3\/2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-13) - (48\/1040*670 + -13)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -624 divided by 13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -103221110 (base 4) to base 5\nAnswer: -10033333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 566452445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1, -2\/23, -0.2, -4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2535 is divided by 375?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 137999 divided by 149.\nAnswer: 137999\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713*b**2 + 31205*b**2 + 11593*b**2 + 24530*b**2.\nAnswer: 68041*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(16\/(-8) + (2\/(-48))\/(1\/(-51))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2917 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 3*o - o. Solve 4*x + 4 = -o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-294)\/(-35)*3\/72*-40.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -5, 0.3, -11.8003?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vssv. What is prob of sequence svv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -112*m**4 + 129 - 251 + 122 + 2*m**2 - 2*m to the form n*m + u*m**2 + z*m**4 + x + c*m**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 0 + 7\/120*h**6 - 10*h - 17\/2*h**2 + 1\/12*h**4 + 0*h**3 - 3\/20*h**5. Let u(y) be the first derivative of g(y). Factor u(i).\nAnswer: i*(i - 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/11))**30\/((((f**(-2)*f)\/f)\/f)\/f)**(-6\/17) assuming f is positive.\nAnswer: f**(-1284\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 391*n**2 + 45*n + 7. What are the prime factors of u(3)?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52234*h - 52232*h + 104468*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2333203 times 0.003\nAnswer: 6999.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*h + 14*h + 3 - 2)*(2 + 3*h - 2).\nAnswer: -6*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(125) - (sqrt(125) + 2 + sqrt(125))) + 0)*5 - (sqrt(125) + (sqrt(125) - (sqrt(125)*3*-6 + sqrt(125)) - sqrt(125)) + sqrt(125)*-1*5))**2.\nAnswer: -800*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 5*c**2 - c + 5. Let n = -594 - -582. Let r be (-195)\/(-35) + n\/21. Give v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*j - 2 + 3*j + 13*j + 21*j as r*j + o and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-96)\/(-16) - (-1)\/((-5)\/31). Which is smaller: 55 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 1\/8*k**5 + 5*k**3 + 33 + 34*k + 5\/4*k**4 + 10*k**2. Let j(v) be the first derivative of a(v). Let j(o) = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -94\/11 or 1\/8?\nAnswer: -94\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 214886340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - -142?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b9 - -55?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 104 + 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -4842?\nAnswer: -484.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 25*u**3 + u**2 + 2*u - 3. Let n be x(1). Let d be -3 - -1 - -6 - -1. Solve -i = -5*i + d*r + n, 0 = -2*i + r + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, -10, 1, -89, 0 in decreasing order.\nAnswer: 1, 0, -10, -39, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1223, 2447, 3671?\nAnswer: 4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 21828 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 3, 4, 1 in ascending order.\nAnswer: -8, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -2 - 20. What is the highest common divisor of z and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59541 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1300\/7 + 186. Let a = -0.2 - 0.8. Let i = a + 1.1. Sort 4, i, b in ascending order.\nAnswer: i, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180\/150 + (-242198)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 3:25 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (164*d - 204*d + 2*d**2 - 86*d)*(d - 1 + 1) to the form b*d**2 + w*d**3 + f + g*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v. Let r(d) = 2971722*d. Determine y(r(k)).\nAnswer: 5943444*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 181937 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.1004678 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31328530 and 1045?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30eccb (base 15) to base 6.\nAnswer: -121523002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -116.626 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 399, 801, 1221, 1665, 2139, 2649?\n\"Answer: g**3 + 3*g**2 + 386*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -14, -19, -26, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/41494665 and -36\/451?\nAnswer: 456441315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1400703 (base 8) in base 11?\nAnswer: -24984a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 17  (c) 8427557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -130430, -260886, -391356, -521840, -652338?\n\"Answer: -7*m**2 - 130435*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*u**3 - 4*u**3 - 56055*u - 308025 - 272*u**2 + 1357*u**2 - 12*u**3 = 0. Calculate u.\nAnswer: -5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from kzvkrsi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8981763 a multiple of 973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, x: 2, c: 3, z: 5, h: 1}. Give prob of picking 1 c, 1 v, and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01319614 and -15?\nAnswer: -0.1979421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 907 is divided by 298.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16058 and 197971053?\nAnswer: 395942106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 3*h - 5 = 4, 496*h - 20 = -4*n + 497*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/27, 3\/4, 2\/3, 4\/19.\nAnswer: -3, -2\/27, 4\/19, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -460\/11849 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 403609.4 decades in months?\nAnswer: 48433128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 350 + 66 = 0. Let s(p) = 3*p**2 - 18*p. Let z be s(6). Suppose z = 3*i - 67 - v. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 351 and 4374.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1950 + -13644\/7. Put -19, -2\/53, f, 0.1 in descending order.\nAnswer: f, 0.1, -2\/53, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/(-36) - (-2)\/((-12)\/12435). Is ((8 - 4) + -1)*z\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 438.912 and -0.75.\nAnswer: 438.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1061\/3 + 354. Let q(u) be the second derivative of 3\/2*u**2 + n*u**3 + 0 - 5*u - 5\/12*u**4. Determine f so that q(f) = 0.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - 1)\/(2\/(-6)). Let o be (0\/3)\/(l - -1). Does 8 divide (o + 24)*(-3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/176 and -89\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rzi when three letters picked without replacement from zzizirzzzz?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 21*c + 233. What is p(-29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 173949 divided by -7\nAnswer: -173949\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -152, -270, -464, -734?\n\"Answer: -38*y**2 - 4*y - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3)\/4 + 2244\/48 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d - 19 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 1 = 2*g + 7, 4*g = -3*c - 15. Let d(s) be the second derivative of -5*s**3\/6 - s**2\/2 - 3*s. Let b(n) = -2*n - 1. Calculate c*d(x) - 5*b(x).\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, k: 1, x: 2}. Give prob of sequence kx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 409 - 16 = 131*t. Solve -2*m + 7*m = t*u - 11, -2*m + 5*u - 12 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -4*g - 4. Let u(i) = -i. Calculate m(c) - 6*u(c).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 40324195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1, 57, 157, 305, 507, 769, 1097?\n\"Answer: d**3 + 15*d**2 + 6*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1)\/(m*m*m**16) assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**4 + 8*x**3 + 3*x**3 - 3*x**3 + 4*x**2.\nAnswer: 4*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 30 + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 2. Let y be (-2 + (3 - 5))*w. Suppose -3*b + y = -2*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/3)\/((-6)\/27). Put -1\/3, -2, q in descending order.\nAnswer: q, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v + 27. List the prime factors of p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -223  (b) 0.2  (c) -0.1  (d) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = r - 8. Let c be 264\/22*8\/3. Suppose c = -3*g + 188. What is the greatest common factor of r and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*5*(sqrt(143)*-2*-2 + sqrt(143) - sqrt(143)))\/(sqrt(528)\/(sqrt(36)\/sqrt(12))) + 2)**2.\nAnswer: 120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 7:58 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of -3*a**2 + 5*a + 1. Let l(w) = -8*w + 2*w + 120 + 2*w - w + 121 - 237. Give -7*l(z) + 6*x(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34092711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*v - 34 + 77 - 43 in the form w + p*v and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4466 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r - 3 - 2 + 1 - 2*r**2 + 10*r. Let h be f(4). Let w be ((-80)\/3)\/(h\/168). What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 5051*b - 35230. What is w(7)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2 = -2*p, -z = p + 5 - 4. Suppose -3*a = -3*f - 3, -f - 1 = -z*a + 2*a. Suppose a = w + x - 5 - 3, 3*x = 6. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*4\/12*-1. Let j be (-457 - 50)*t\/3*-1. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**5\/15 + 419*f**4\/12 - 301. Find c, given that m(c) = 0.\nAnswer: -419, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 396282525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-25)\/((-10)\/2)*21099\/15. Suppose -y = -83*o + 70*o. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 15*i**2 - 9*i**2 - 7*i**2. Let v(b) = 3*b**2 - 2*b. Let y(c) = -c**2 + c. Let d(l) = v(l) + 2*y(l). What is d(z(u))?\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -v**6\/6 + 10*v**2 + 11*v. Find the first derivative of j(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -9*r**2 - 16*r + 10. Is 30 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 70*h**2 + 244*h**2 + 101*h**2 + 102*h**2. Let t(d) = d**2. Give t(n(z)).\nAnswer: 267289*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 12:57 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 3*h - 20, 5*h - z + 4*z - 44 = 0. Let m = 10 - h. Which is the third biggest value?  (a) 5  (b) m  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 - -100232?\nAnswer: 100310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 23 - 20*r + 10*r - 19*r - 21*r. Let g be t(-11). Let u = -395 + g. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*q**2 - 5 + 10 + 2*q**4 - 22*q**2 - 2*q to o*q**4 + b*q + v*q**3 + d + a*q**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -6*c**3 - 17*c**2 - 20*c - 17. Let s(z) = 9*z + 6 + 5*z - 7*z + 2*z**3 + 6*z**2. Determine 6*b(x) + 17*s(x).\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -12 + 156. What is the remainder when h is divided by (65\/(-15))\/((-11)\/(-33) - 4\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -13.7  (b) 3\/4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1532347 is divided by 13441.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((54\/360)\/(12\/20))\/(3\/(-564)*1)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12762 and 4254?\nAnswer: 12762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and -55597809.70786?\nAnswer: 55597806.70786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.2, -4 in descending order.\nAnswer: 1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 29*a**2 - 13*a - 97. Is t(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -2*p + 3*a + 20, 3*a = 2*p - 16. Suppose p*q - 5 - 25 = 0. Calculate the remainder when 28 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 0.26.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + 0 - (22 + -21)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppfpwpfppppppppp?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1012245556 to the power of 1\/2, to the nearest integer?\nAnswer: 31816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 9:55 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221258 is divided by 5267.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153 and 24779574?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -732 >= -108993\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -1\/2*h**2 - 26 - 1\/3*h**3 + h. Let r(n) = -2*n**2 - 4*n + 5. Let z(p) = r(p) - v(p). Solve z(j) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = p + 5*x, -5*p - 46 = -4*x + 1. Let v = p + 48. Is 5 a factor of 2\/4*(v + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 5:41 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18707 and 20852?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*q - 11, -8*p = -3*p + 3*q - 10. Put 5, -2, p in ascending order.\nAnswer: -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-9\/4))**(-3\/20) assuming d is positive.\nAnswer: d**(-39\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-56))\/(515\/(-618))*-3*(-8)\/6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 4*s - 210809, 35886 = 2*s + 2*r - 69532. List the prime factors of s.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 3*i + 22, -34*i + o - 82228 + 82267 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.42206428 rounded to 2 decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 + 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2675 + -1388. Factor -4*s**2 + 1283*s**3 - t*s**3 + 4*s**2 + 4*s**5.\nAnswer: 4*s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*o - 162 = 0, 0 = -14*u + 12*u + o + 97. Suppose 54*i - u*i - 28 = 0. Solve -5*b + i*b = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 72702207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-64))\/(45\/(-18))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -4, -7\/3, -2, 5, 0.2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259216 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/9, 5, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 887*a**3 - 445*a**3 - 12 - 15 - a**2 + a - 444*a**3 to m*a + o*a**3 + u + n*a**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.92827 + -0.10593.\nAnswer: -1.0342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -876*i**3*q**3 + 28*i**3*q**2 - i**2*q**2 - 12*i*q**2 wrt q?\nAnswer: -5256*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of -t**3 - 2. Let l(p) be the second derivative of -p**4\/3 - p**3\/6 + 344*p - 10. Give -3*h(v) + 2*l(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 32*c**3 + 61924*c**2\/5 + 1546*c\/5 - 774\/5 = 0.\nAnswer: -387, -1\/8, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110)\/(-385) - 13\/(-28).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 84*j**2 - 81*j - 32600. Let h(t) = -25*t**2 + 24*t + 9780. Calculate -27*h(p) - 8*l(p).\nAnswer: 3*p**2 - 3260","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 7014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 6:01 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 107, 192, 243, 242, 171, 12, -253, -642?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 109, 38, -189, -662, -1471, -2706?\nAnswer: -4457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 7 = -77. Let j = -132 + 280. Let w = j - -17. Calculate the remainder when w is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2*q - 5)*(5 + 0 - 3) + 25 + 4848*q - 4 - 8 - 13.\nAnswer: 4844*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 104b - -33?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -45\/167 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -31999627.4 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 + 50431*u**2 + 454050*u - 4539600.\nAnswer: -(u - 50440)*(u - 6)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.03 + 0.27. Suppose c + 5*l - 832 = l, -l - 1682 = -2*c. Let g = -9246\/11 + c. Sort 0.5, b, g in descending order.\nAnswer: 0.5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 10:57 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*b - 22 = 0, -r - 2*b + 21 = 2*b. Let z be -2*11\/(-12) + -34 + 32. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 3*i**2 - i + 1. Let c be w(3). What is the smallest common multiple of (-46)\/c + 12\/(-4) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/98)\/(-3*9\/81)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 10:15 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 8914168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*h**3 + 2209*h + 2213*h + 2204*h - 6633*h.\nAnswer: 123*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1472 + 1478. Let y = -110 + 40. Let q = 8 - y. What is the greatest common divisor of t and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y - 7. Suppose -5*k + 15 = -30. Let q be u(k). Suppose 3*x - 5*s = -q + 1, s + 13 = 5*x. Solve x = -3*b - 0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23456441 and 395915?\nAnswer: 6091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 115 - (0 + -1)*3. Let i = h - -129. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 4*x = 56, -18 = w - 0*w - 2*x. Is (w\/20)\/(2\/(-14356)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 2*c + 13 = 0, 2*s + s = -c - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 28*(-20)\/((-2560)\/(-48))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 2:37 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m. Let z(a) = 22*a - 5 + 4 - 18 + 5*a**2 - 2*a**2. Let l(q) = 6*n(q) - z(q). What is the derivative of l(b) wrt b?\nAnswer: -6*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -44*c**2 - 46*c**2 + 1 + 94*c**2 - 251*c + 248*c. Determine x(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.00082 or -3?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z + 3*z - 4*z**2 + (-7*z + 2*z + 4*z)*(z - z - z) + 0*z**2 + 0*z**2 - 3*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6, -3, -73 in descending order.\nAnswer: -2, -3, -6, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.367 minus -0.03?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 123989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -89\/9 - -401\/36. Let s = -1\/4 - -3\/4. Sort -0.4, d, 0, s in decreasing order.\nAnswer: d, s, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1615651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130 + (1\/5 - 154\/(-55))?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -3. Suppose -3*w + 2*w + u = 2*i, w = -4. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -14, 1, 12, 11, 6, 4 in increasing order.\nAnswer: -14, 1, 3, 4, 6, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 5:44 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-300)\/(-384))\/((-2)\/8) and (-5)\/22*(-122)\/10?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*f**6 + 4528*f**4 + 7*f**3 - 269495*f**2 wrt f?\nAnswer: -240*f**3 + 108672*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*n - 435 = -2115 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-10)*6*90\/54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3355540193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-136)\/(-4590)*-9)\/(8*4\/(-100))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 114895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in -70\/23, -4, -5?\nAnswer: -70\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16*(-1*4)\/2. Let o(w) = -w**2 + 6*w - 7. Let u be o(8). Let c = u - m. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 234 and 1248?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -1. Let j(k) = 0 - 18*k + 4*k + i + 3*k**2. What is the units digit of j(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1136 - 1139. Let t be (r*(-64)\/(-12))\/(-2 + 4). Let f(y) = -10*y + 2 - y**3 - 8 - 6 - 9*y**2. Determine f(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*sqrt(468) - (-5 + -1*sqrt(468) + sqrt(468))**2.\nAnswer: -28 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1291.52724 - -2?\nAnswer: -1289.52724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjpxxdfpj. Give prob of picking 1 p and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 32. Differentiate -6 + 3*n - n + k*n**2 - 2*n with respect to n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -269 + 770. Let i = 499.8 - y. Which is the closest to 2\/5?  (a) -4\/7  (b) 0.3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 243 and 72859473?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/42)\/(7\/(4\/4)*-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 12750\nAnswer: -1\/2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-6)*20\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -196*s**4 + 139664*s**3 - 24069264*s**2 - 288904960*s - 838681600.\nAnswer: -4*(s - 362)**2*(7*s + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, r: 2, m: 1}. What is prob of sequence mrrf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*u - 11*u - 48*u)*(0*u - u - u) + 11*u**2 - 2*u**2 + 10*u**2 + u**2 + 2*u - 2*u.\nAnswer: 246*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 85310 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 148187767 divided by -148187767?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11653339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2217 (base 12) to base 14\nAnswer: -152b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 7*c + 6. Let b(w) = -14*w**2. Determine n(b(f)).\nAnswer: -98*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3375*c + 60876 = -124749 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(3) - (0 + sqrt(48))**2) + (sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3) + sqrt(48)*-1)**2) - ((3 + 2*sqrt(432))**2 + -4)*-3.\nAnswer: 431*sqrt(3) + 5235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of h**6\/120 + h**5\/15 - 5*h**4\/24 - 5*h**3\/6 - 11*h**2. Suppose -5 = 2*p - p. Give n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i - i + 4*i - 2*i - 2*i + 2*i + (-1 - 1 + 4)*(2*i + 2 - 2))*(11*i + 0*i - 7*i).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -982*w**4 + 103*w**2 + 3*w wrt w?\nAnswer: -23568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 104 - 101. Let c be (0\/2)\/n*4\/8. What is the nearest to -0.1 in -3, c, -37, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imie when four letters picked without replacement from immmdidmmme?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 53202403 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20273634, -20273637, -20273640, -20273643?\nAnswer: -20273646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*o**2 + 9*o**2 - 8*o**2)*(3*o - 2*o - 2*o)*(-1 - 1 + 0).\nAnswer: -38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4730 + 4735. Suppose 2*o + 5*p = 27 + 11, 4*p - 88 = -4*o. Solve -i*c = 2*v - o, 3*c + 2*c - 20 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 746.3 - 746.5. Which is the nearest to -3\/2?  (a) 0.2  (b) q  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f + 0 + 0)*(10 + 4 - 8)*(3 - 1 + 0) as i*f + r and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(18)\/(sqrt(9)*-1) - (sqrt(32) + 1)) + sqrt(20)\/(sqrt(10) + 2*sqrt(20)\/sqrt(2)))*6.\nAnswer: -28*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 13. Sort -1, d, 3 in descending order.\nAnswer: 3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3)*x\/x**(2\/15))\/(x**13\/(x\/(x\/x**27)*x)) assuming x is positive.\nAnswer: x**(193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*q**3 + 5564005766*q**2 - 5564005766*q**2.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -4*k**3 + 6*k**2 + 5. Let j(q) = 11*q**3 - 17*q**2 - 15. Calculate 17*g(u) + 6*j(u).\nAnswer: -2*u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**10\/o*o\/o**0*o*o)\/(o*o*o\/(o*o**(-7\/3)\/o)*o*o**(-1\/16)*o) assuming o is positive.\nAnswer: o**(227\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {o: 1, c: 1, q: 1, f: 2, m: 7, k: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.018 in 1\/11, -16, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -16.9  (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 101947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 135289, 135317, 135347, 135379, 135413, 135449, 135487?\nAnswer: 135527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y + 2007 + 135. Let i = y + 449\/2. Calculate the common denominator of i and -17\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 8*m + 17. What is the tens digit of r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(5\/3)\/u)\/u**(-3\/5)*u*u**12*u\/(u**(-2\/7)\/u)*u*u assuming u is positive.\nAnswer: u**(1948\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*q - 5 = -3*q, 4*q - 4 = 0. Let h(s) = 4*s + 9 + 10*s**2 + 5*s + n*s + s**3 + 2. What are the prime factors of h(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25\/33 - -12\/11. What is the third smallest value in 2, m, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 159126253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.08 - 3.08. Suppose 0 = -3*i - 4*j - 2, -3*i = -8*j + 5*j - 12. Suppose -2*f + f - i = 0. Which is the second smallest value?  (a) -0.4  (b) f  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11520 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 596, 1186, 1776, 2366, 2956?\n\"Answer: 590*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 - -58. Suppose 4*s - o + 2*o = 44, -3*s = -2*o - 22. What is the lowest common multiple of y and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -11*d**3 + 1. Let j(r) = r**2 - 6*r - 1. Let u be j(6). Let s be x(u). Let z = s - -11. What is the greatest common divisor of z and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -bc?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -69, -3, 2, -11612, 8 in ascending order.\nAnswer: -11612, -69, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 105160 - 105158. Find g, given that 2*g**5 + 96*g**3 - 128\/3 + 64*g + 70\/3*g**4 + 472\/3*g**q = 0.\nAnswer: -4, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (5 - 4) + (12 + -40 - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26520 and 250?\nAnswer: 663000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19076, 75727, 170148, 302339, 472300, 680031?\nAnswer: 925532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170*t**2 + 873*t - 874*t + 14*t**2.\nAnswer: -156*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.615552ml in litres?\nAnswer: 0.005615552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 1\/9*o**3 + 7 + 4\/3*o + 2\/3*o**2. Determine p, given that z(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/4)*m)\/((m\/(m\/((m*m*m*m\/((m*m*m**(-1))\/m)*m)\/m*m)))\/m*m))**(-19) assuming m is positive.\nAnswer: m**(323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, a: 4, t: 6}. What is prob of picking 1 a and 2 t?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 626 (base 7) to base 5\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/(-300)*(-8436)\/703?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23536*s - 23539*s + 3 + 4*s**3 + 47075*s.\nAnswer: 4*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -280*i**2 - 411*i**2 - 122*i**2.\nAnswer: -813*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49*u*x**2 - 21*u - 767*x**2 + 30*x - 3 wrt x.\nAnswer: 98*u - 1534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 15\/767?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-336)\/(-1152) + 0 + (-1)\/6. What is the second smallest value in x, 0.1, 16.9, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16675540000 rounded to the nearest one million?\nAnswer: 16676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*l + 8*l + 9*l**2 + 3*l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/8 + (-15)\/(-28). Let w = 24.437 - 30.437. Which is the third biggest value?  (a) 4  (b) -3  (c) p  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*x + 11*x + 39. Suppose -20*r + 19*r - 9 = 0. Let o = x + r. Solve -12 = -o*d + d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3032*y + 25 = 1511*y + 1516*y, 2*y - 206 = 27*j - 54 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -196372, -196370, -196364, -196354, -196340, -196322, -196300?\n\"Answer: 2*k**2 - 4*k - 196370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -30*l**2 + 6*l + 3. Let x(q) = -60*q**2 + 14*q + 8. Give 5*o(v) - 2*x(v).\nAnswer: -30*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y + 1. Suppose -5*c + 30 = 5. Suppose 0*h + 5 = c*h. Let i = -6 + h. Determine z(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 318778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -1 + 16 + 22 + -53 + 23 + 57\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, l: 1, r: 1, j: 1, p: 2}. What is prob of sequence jp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 3:48 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 325121 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*81644.\nAnswer: -326576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of -w**4\/12 + w**3\/2 + w**2 - 6*w - 3. Let f(m) be the first derivative of k(m). Let s be f(3). Solve s = -5*x - 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9471217.\nAnswer: 7, 233, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 180\/91 - 2*1. Let i = p + 4\/13. Let y(m) = -5*m. Let k be y(0). Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.633 + -0.283. Let g = -17093.35004 + 17093. Let o = g + y. Round o to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) -1\/6  (c) 1\/6  (d) -0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, h: 4, b: 2}. Give prob of picking 2 b and 2 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 5:08 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + 6 = 10*t. Let q be t\/(-44)*(80\/(-5) - -4). Factor 0 + 2\/11*z**4 - 2\/11*z - 6\/11*z**3 + q*z**2.\nAnswer: 2*z*(z - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 3*t**2 + 1. Let s(u) = -7*u**3 + 13*u**2 + 7*u + 9. Let g(l) = -2*h(l) + s(l). Let z(o) = -o**2 - o - 1. What is -4*g(y) - 28*z(y)?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 876, 874, 866, 852?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11146*c - 7194?\nAnswer: -11146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w + 3857. Let v(a) = 27*a + 70. Give q(v(i)).\nAnswer: 108*i + 4137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4046, 17519, 39982, 71441, 111902, 161371, 219854, 287357?\n\"Answer: u**3 + 4489*u**2 - u - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 6 = -3. Let v = -1.7 + 1.7. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-2)\/16 - (-644385)\/456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 4*j**2 + 3*j + 117. Let n(v) = -9*v**2 - 5*v - 254. Let t(w) = 13*h(w) + 6*n(w). What is t(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -404*n = 1458*n - 11172 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from wwxfxwxfxxwx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1139, 2269, 3385, 4481, 5551, 6589, 7589, 8545?\n\"Answer: -m**3 - m**2 + 1140*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 4*y - 8013*m + 10 = -8010*m, -34*y - 62 = 3*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/21 - (-36)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = z + 71, 2*z + 72 = 4*g + 5*z. Suppose -2*i + 8 = -0*i. Suppose 79 = i*j + g. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (296\/(-1995) + 1476\/11070)\/((-2)\/7)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -750*o + 695. What are the prime factors of f(-9)?\nAnswer: 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.35 - 0.65. Which is the closest to 1\/9?  (a) x  (b) 4  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 361941.4l to millilitres.\nAnswer: 361941400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 706496797?\nAnswer: 10613, 66569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 28*x + 6 + 20 - 6*x - 5*x**3 + 6*x**3 - 14*x**2. Let b be p(12). Solve b + 4 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5*r - 5 = 2, v + 4*r + 5 = 0. Let g = 19 + v. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nms when three letters picked without replacement from {n: 4, m: 3, g: 2, s: 2, f: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6375)\/(-150)*(-2)\/10*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 7*x + 1. Calculate o(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - -0.21838\nAnswer: 0.71838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v + 6. Let s be w(-3). Determine j, given that -3*j**s - 5*j**3 + 4*j - j + 5*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-1792)\/24*-1)\/(6\/477).\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1362\/54 + 2\/(-9). Suppose 2*j = 3*j - 17. Let n = p - j. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5033 is divided by 516?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -1, 4, -2, 1 in decreasing order.\nAnswer: 4, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/((-252)\/56*2\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 7*f**2 - 10*f + 4. Suppose 3*m = -3*i - 2*i + 9, 17 = 4*m + 5*i. Let s be q(m). What is the units digit of s*(-2)\/(-15)*-25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bobw when four letters picked without replacement from {b: 1, o: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 418 - 416. Suppose j*d = 3*h - 3*d - 15, 2*d = 5*h - 6. Solve 2*w + 3*w = n + 22, -5*n + 15 = h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**3\/6 + 5*t**2\/2 - 398*t. Let n = -4 - 2. What is v(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, -116, -5 in ascending order.\nAnswer: -116, -7, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -56 - -86. Suppose -2678 - 2122 = -160*v. What is the lowest common multiple of o and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1374*q = 79*q + 159 - 11814 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + c + 1)*(-109 - 46 + 88 - 267 + (4 - 1 - 6)*(4 - 6 - 3) + (0 - 1 + 0)*(-3 + 5 + 0)).\nAnswer: -321*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1 - (2 - 4)) + (10 - -67) + -37.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -146210?\nAnswer: 14621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2730 - -1874. Let y = 1447 + m. What are the prime factors of y?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 508 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9130976 is divided by 26935.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 282 + -281.9762. Let i = 62.995 - 63.04. Let f = z + i. Round f to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*w**4 - w + 287 wrt w.\nAnswer: -20*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.07 - -4.99. Let p = -0.06 + l. Let z = 16 - p. Which is the biggest value?  (a) -6  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -583 - -583. Solve f - 4*v - 20 = -a*v, 5*f = v + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4493 - 4474. Sort -3, 1, -4, c in descending order.\nAnswer: c, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -210, -771, -1706, -3015, -4698?\n\"Answer: -187*f**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -258?  (a) -23  (b) 2\/25  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 + -64 + 8 + (-7 - (-13 - -5))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23739008 is divided by 94956.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23993, 48010, 72051, 96116, 120205, 144318, 168455?\nAnswer: 192616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -44 - -2c6b3?\nAnswer: 2c66c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 2*r - 5. Let w = 4 + -8. Let j be s(w). Let o be j\/(12\/20) - 3. Solve -6*u + o*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 4*a**2 + 0*a - 2*a**4 + 12 - 4\/5*a**5 + 4\/3*a**3. Find z, given that j(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/7)\/(24\/(-84))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/5  (b) 0.3  (c) -0.05  (d) -1\/3  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1029806745 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1190, -2396, -3602?\n\"Answer: -1206*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 309 - -5?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of 11*l**5\/60 - l**4\/24 + l**3\/3 - l**2 - 48*l. What is i(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/3 + 3665954*b\/3 + 18329720\/3.\nAnswer: 2*(b + 5)*(b + 1832972)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -291 + 296. What is the smallest value in 12, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7255499\/3 or 2418500?\nAnswer: 7255499\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oko when three letters picked without replacement from {o: 5, k: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -238 + 1192\/5. Let l = -1.985 - 0.015. Let f = l - -1. Which is the nearest to 5?  (a) i  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 24*a - 145. Calculate d(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 1. Let g be 9\/d + 2\/4. Suppose -6*u + 4*u + 4*f + 68 = 0, g*u + 2*f = 134. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Calculate -274*-9.34.\nAnswer: 2559.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2074 not equal to -2064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - (8\/(-20) + -4). Let r = 561.5 + -561.3. Which is the second biggest value?  (a) 4\/13  (b) r  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 0)*(5 - 1 - 5)*(-2*i**4 - 3*i**4 - 3*i**4) to the form m*i**4 + l*i**2 + k*i + w*i**3 + z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003033 rounded to 7 dps?\nAnswer: 0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*(-5 + 2) - -4. Sort 2, x, 19.\nAnswer: x, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -249729+-83.41973\nAnswer: -249812.41973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-57 + 37 - -23)\/(0\/2 + (-7)\/13)?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65314*g**2 - 5*g**3 + 65281*g**2 - 130595*g**2 + 2*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence otgz when four letters picked without replacement from dgdddotozzzdo.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6438560809?\nAnswer: 37, 174015157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104298536?\nAnswer: 2, 17, 766901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + 4 - (-1 + -1). Suppose -d*r + 24 = -6*r. Let h(k) = k - 1. Give h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49489859 and 5221?\nAnswer: 5221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/9*4*9\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*t + v = -49*t + 4, 4*t + 164 = 41*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 262, 262, 260, 256, 250?\n\"Answer: -i**2 + 3*i + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 1. Let m be (-18)\/7 + 2*1. Let n = -4270.9 + 4271. Which is the nearest to n?  (a) f  (b) 2\/11  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 - -30. Let c be (-52)\/(-6) + 4\/(-6) + m. Is 7 a factor of 2*(c + (0 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*(31 - 31 + 5*l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 10. Let m be (-4)\/((v\/2)\/2). Suppose f = -2 + m. Solve -f*c - 1 = 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -151\/9 + 17. Let n = 0.08 - -2.92. Let l = 4 - n. Put y, -2, l in increasing order.\nAnswer: -2, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 831324000*z**2 - 29883*z - 160 wrt z.\nAnswer: 1662648000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-16)\/(-336)*-7 - (-27)\/(-25)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6772296153 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -213  (b) -23\/14  (c) -0.1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvoi when four letters picked without replacement from ivsoivioi?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7251 - -9865. Calculate the remainder when v is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-10)*h**(6\/17) assuming h is positive.\nAnswer: h**(-164\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*9\/3*((-12540)\/1197)\/110?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 592370 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2869999456.\nAnswer: 2, 89687483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7600*f**5 - 636270*f**4 + 4949764*f**3 - 630206*f**2 - 1707864*f + 483560 = 0 for f.\nAnswer: -1727\/19, -5\/8, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 292 + -286 + -1 + 0 - -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -12190b1?\nAnswer: -12190b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 5*q - 33, 0 = -4*u - 4949*q + 4952*q - 45 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78441?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/1*1\/15*5. Suppose b = -6*p - 19. Let x(z) = 5*z**2 + 5*z + 1. Let u(h) = 6*h**2 + 6*h + 1. Determine p*u(w) + 5*x(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*t**2 - 6*t**2 + 73*t**2 - 16*t**2 - 18*t**2.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 41, 107, 199, 317?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-89)\/(-2) - (-21)\/(-42). Solve 9*w + 2*w = -c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-2) + (5 - 6). Let m be ((8\/o)\/(-2))\/(-2). Suppose -4*k + 18 = m*z, 3*z + 2*k = -2*z + 77. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + 21*b + 41. List the prime factors of a(19).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31851 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - -18)\/(18\/6 - 2). Suppose h = -12*v + 79. Solve -v*o = z - 6 - 8, -2*z - 4*o + 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -h**9\/3780 - 11*h**8\/6720 - h**7\/504 + h**6\/360 - h**4\/6 - 2*h. Let j(n) be the third derivative of i(n). Factor j(l).\nAnswer: -l*(l + 1)*(l + 2)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (15 + 5 + 5*n - 6*n + (40 + 24 - 7)*(6*n - 2*n - 3*n))*(0 + 5 - 2)*(n**2 + 0*n**2 - 2*n**2) as a*n**3 + o*n + l + g*n**2 and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -261*k**2 + 1935*k + 257*k**2 - 6*k**3 + 8*k**3.\nAnswer: 2*k**3 - 4*k**2 + 1935*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -92.152 - -0.152. Let u = y + 94. Is 1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 492099 divided by 23.\nAnswer: 492099\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -284*g**2 + 11*g + 32. Let r(i) = -282*i**2 + 7*i + 26. Determine 4*j(d) - 5*r(d).\nAnswer: 274*d**2 + 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of 13*j**4\/4 + 19*j**3\/3 - j**2\/2 + 1. Let g(n) = 7*n**3 + 10*n**2 - n. Let q(l) = -4*a(l) + 7*g(l). What is v in q(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26381\/10 - 2643. Let j be (-4602)\/(-60) - 6\/(-20). Calculate the common denominator of j\/(6\/(-3)*1) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -o - 3*o - 16, -z + 16 = -4*o. Let n be (2 + (-2)\/1)\/(-2). Suppose z = -3*l - n + 174. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20355054, -40710121, -61065188, -81420255, -101775322?\nAnswer: -122130389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 9*b**2 + 5*b - 8. Let u be p(8). Let k be (2\/(-6))\/((-112)\/u). Let s be ((-1)\/9)\/((-4)\/(-8)). Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(((-9)\/6)\/(-1)). Let o = -0.363 - -0.033. Let l = -0.83 - o. Sort l, v, -3 in increasing order.\nAnswer: -3, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*f*n**2 - f*n*v - 3*f*n - 2990*f*v - f - 182226*n**2*v + 2*n - 3*v + 7 wrt n.\nAnswer: 6*f - 364452*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 d, and 1 r when four letters picked without replacement from {d: 2, o: 2, z: 1, n: 1, r: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 39*n**3 - 8*n**2 + 4*n. Let o(a) = -39*a**3 + 7*a**2 - 3*a. Calculate 5*k(f) + 6*o(f).\nAnswer: -39*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 122 + -121.99. What is the third smallest value in 4\/3, a, -2\/3, -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -33*k. Let i(f) = -32*f. Give i(v(h)).\nAnswer: 1056*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -28 and -18.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00582749458 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -6*f + 48. Let m be (0 + 1)\/((-2)\/(-10)). Solve -2*h = -m*h + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -7, 3, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-423798)\/(-66) - (0 + 6\/33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/(-15))\/(21\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 8:27 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.3  (b) 0.2  (c) -4  (d) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/11?  (a) 0.07  (b) -1031  (c) 4\/7  (d) -2\/9  (e) 0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1923323.\nAnswer: 1923323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 281000 and 10145224?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31364 is divided by 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (124\/5)\/(27310\/68275).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(1573) + 1 - ((sqrt(1573) - (sqrt(1573)*4 + sqrt(1573)))*-6)**2.\nAnswer: -906050 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -17)*-26*(-34)\/185640.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, g: 8, d: 5}. What is prob of picking 3 d?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 56057126\nAnswer: 1\/56057126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 67198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 20. Suppose 3*k = 3*m + 36, h = -0*k - 2*k + 5*m + 24. Let l be (4 - k\/3)\/2. Let n(b) = -b + 3. Calculate n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/((-351)\/(-12)))\/((-13)\/(-2808)*16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (624*o**2 - 317*o**2 - 390*o**2)*(-1 + 16 - 4).\nAnswer: -913*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -23*b + 2 - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 2 = -4*t. Let h(b) be the first derivative of -1\/4*b**4 + 10*b**3 - t*b - 1 - 28\/5*b**5 + 1\/2*b**2. What is a in h(a) = 0?\nAnswer: -1, -2\/7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 578*t**2. Let k(s) = -5*s - 1488 + 3*s + 743 + 745. Give k(j(a)).\nAnswer: -1156*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.32 + 7.82. Let b = 3 + -6. Let z be (-4)\/(-10) - (-64)\/(-110). Sort b, z, q.\nAnswer: b, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**4 + 0*n**4 - n**4 + (2 - 3 + 0)*(0*n - n**4 + 0*n).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 80 + -81 + (-1 - -2 - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -1221*z**4 + 11*z**3 - 1985*z**2 - 11. Let d(r) = r**4 - r**3 + 4*r**2 + 1. Let b(w) = 11*d(w) + s(w). What is the third derivative of b(a) wrt a?\nAnswer: -29040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**4\/3 + 344*y**3\/3 + 11782*y**2\/3 - 67760*y\/3 = 0. Calculate y.\nAnswer: -121, -56, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21\/2*l**3 + 105 - 375*l**2 + 519\/2*l.\nAnswer: 3*(l - 35)*(l - 1)*(7*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - 0) + (-189 - -211).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1769337 in -1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10832)\/(-56) - (-12)\/21 - 5. Let m = -184 + l. Let q(y) = y**3 - 6*y**2 + 6*y - 5. Determine q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -405*c. Let q(t) = 1409*t + 1. Let u(v) = 2*q(v) + 7*r(v). Let h(b) = -82*b**2. Determine u(h(z)).\nAnswer: 1394*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) 2\/11  (c) -952\/13  (d) 5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 89603\/1976 + 29\/988. Let y(s) be the third derivative of -39*s**2 + 0*s + 0 - 1331\/2*s**3 - 33\/20*s**5 - v*s**4 - 1\/40*s**6. Factor y(u).\nAnswer: -3*(u + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18454 - 18455.0309. Let i = n - -0.0309. Which is the second biggest value?  (a) 3\/20  (b) 5\/2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12255\/26 or -470?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/7 - (-232)\/(-28). Let w be (18\/8)\/((-10)\/c). Are 3 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {m: 2, p: 1, l: 1, o: 9, v: 7}.\nAnswer: 63\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/((-108)\/9)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.5 times -15\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of 2*m - 1\/6*m**3 - 3\/2*m**2 + 0. What is w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 6:48 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -59. Let x = 10 + -9.7. Which is the nearest to x?  (a) 0.5  (b) -5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1783 in -0.5, -0.4, 5, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/21934 and 71\/181412?\nAnswer: 180867764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(525)*3)\/(sqrt(33)\/(sqrt(1584)*-5 + sqrt(1584) + sqrt(1584) + sqrt(11))).\nAnswer: -2625*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 111476723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18870756.\nAnswer: 2, 3, 53, 29671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85961, -86067, -86173, -86279, -86385, -86491?\nAnswer: -86597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7837659.\nAnswer: 3, 353, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqoqqqczcqxqcdqoqcdx. What is prob of picking 1 o, 1 x, and 1 c?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -2*r - 2*w + 2, -3 = -4*r - 3*w. Let q be (r\/(-1))\/(3 + -7). Which is bigger: 1\/23 or q?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of 2*f**7\/7 + 8*f**5\/5 - 127*f**3\/3 + 57. Find the third derivative of a(w) wrt w.\nAnswer: 240*w**3 + 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 1. Let z be (-1 + 0)*(-8 - -5). Suppose 4*a = -z*q + 3, -2*a - 5*q = -q + 6. Are p and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/(sqrt(8)*1*5 - sqrt(8)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 31 = -13. Let r(t) = 4*t + 5. What is r(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 11:59 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - -21. Suppose 2*b - u = -3*b. Solve -20 = 5*t - 5*k, b*t - 8 = -5*k + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4962905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + o = z - 253, 2*z - 5*o - 506 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30310 + 40627. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(245) + (-1 + sqrt(245))**2)*4.\nAnswer: -112*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 2*d = r + 383, -95 = -r - 5*d. Let j(k) = k + 7. Let x be j(-5). Suppose -231 + r = -x*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-11 - 2)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(-4) + 3\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/17 - 24*k**2\/17 + 512\/17.\nAnswer: -2*(k - 4)*(k + 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 7:28 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 4:38 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - (-18 - 26 - -13)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 7*h**2 - 111*h + 337. What is a(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*c - 64*c = -20. Suppose 0 = p - 3*v - c, 5*v + 5 = 3*p - 3. What is the derivative of -8 + 1 - l**4 - p wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 416321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + r - 1. Let k(n) be the first derivative of 4*n**3 - 5*n**2 + 10*n + 240. Determine -2*k(s) - 20*q(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*b = -59*b - 315. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1310.231 and 4.\nAnswer: -5240.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 5*p + 3. Let c = -58 - -50. Let i be 0 + 76\/(-8) + 4\/c. Let q be (i\/15)\/((-48)\/27 - -2). Calculate f(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.323 * -0.2\nAnswer: 0.0646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 75362 and 12.\nAnswer: 452172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((1*sqrt(21)*1)\/(sqrt(14)\/sqrt(2)*-4) - -2*(5*sqrt(9)\/sqrt(3) + (sqrt(3) - (sqrt(18)*2 + sqrt(18))\/sqrt(6))))**2.\nAnswer: -7935\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11175*y**3 + 11185*y**3 - 22361*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 13) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 - 51 = c. Solve -u + 5*s - c = -5*u, -4*s = 5*u - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 15*f**2 + 85*f + 5. Let r(w) = 7*w**2 + 42*w + 2. Let d(s) = -5*r(s) + 2*u(s). What is l in d(l) = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 46, -5, 0, 3 in decreasing order.\nAnswer: 46, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -31084928*o. Let t(z) = z. Calculate t(y(c)).\nAnswer: -31084928*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = x - 3*x. Suppose -5*f + 16 + x = 0. Suppose 0 = f*l + 2*l - 24. Solve -z - 16 = -2*z - 4*u, 0 = -4*z - l*u + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 893 - 461 + o**2 - 432.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*sqrt(605) - sqrt(605)) - ((sqrt(60)\/sqrt(2))\/sqrt(6) - (1*sqrt(5)*1 + sqrt(5))).\nAnswer: -21*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 3, -3, 4221, -9 in descending order.\nAnswer: 4221, 3, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 105 = -6*h. Suppose 12*a = h*a + 18. What is the nearest to a in 2, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -6*r**3 + 4*r**2 - r + 2. Let m be o(4). Let q be (8\/(-6))\/(m\/21). Which is the biggest value?  (a) 1  (b) -3\/5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 PM and 10:55 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -25)*5\/(-2). What is the lowest common multiple of (36\/(-7))\/(s\/210) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234*t - 597*t + 363*t + 123*t**3.\nAnswer: 123*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -1102211?\nAnswer: 1102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 12.356 * -1\nAnswer: -12.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -229\/2  (b) 0.4  (c) 1  (d) 1\/6  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -232, -910, -2042, -3628?\nAnswer: -5668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**8\/20160 + r**7\/720 - r**6\/240 + r**5\/30 + 15*r**2. Let d(a) be the third derivative of u(a). What is d(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -147, -260, -375, -492, -611, -732?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*2\/4 - -8. Suppose 0 = 4*r - 4*x - 20, -r + 2*x = -5 - 3. Suppose 110 = r*s - 66. What is the highest common factor of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 21. Let m be c*-1*(-3 - -2). Suppose -6*g = 35 - 5. Sort m, g, 2 in increasing order.\nAnswer: g, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/22 and 71\/1666?\nAnswer: 18326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15730675 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.078939157 - -5289607?\nAnswer: 5289607.078939157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.72104 decades to centuries.\nAnswer: 4.172104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*m + 3*m - 6*m)*(-38 - 18 - 48)*(-1 + 5 - 2) to q*m + s and give q.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 62*o - 574. Determine r(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand c + 1 - 3*c + 0*c + (-1 - 4 + 4)*(-2*c + 2 - 2) + 1 + 2*c - 1 + c - 2*c + 2*c.\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (155 + -159 + 0 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of -g**5\/60 + g**4\/24 + g**3\/6 - g**2 - 236. Let n(r) = -3*r + 18. Let x be n(6). Let h be x\/(6\/3 + -4). Calculate w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that p**2\/4 + 400*p + 160000 = 0.\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c5 - 5?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 255, 236, 203, 150, 71?\n\"Answer: -x**3 - x**2 - 9*x + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*((i**(-2\/7)\/i)\/i)\/i)\/i**(-2\/11))\/(i*i\/i**1)**(14\/5) assuming i is positive.\nAnswer: i**(-1888\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*i + i - 18*i)*(2 - 3 + 5) to the form h + v*i and give v.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/19))**40*o**(2\/9)*o\/o**8*o assuming o is positive.\nAnswer: o**(5132\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*x - 10*x - 63 = 0. Solve -21 = 5*j - x*q, -20 = 4*j - 37*q + 33*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 5*j + 0 - 15 = 0, 4*q + 2*j = 0. Calculate the least common multiple of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00288477 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2640235 (base 9) in base 4?\nAnswer: 11200130132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 15 = 4*n + 5*g, -2*n = -5*g + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59652.\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 70423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -12\/5 - 12\/5*w**4 - 4*w**3 + 2*w + 2*w**5 + 24\/5*w**2 = 0.\nAnswer: -1, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, l: 3}. What is prob of sequence zlz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8738 divided by 17\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -p**4\/12 + 7*p**3\/6 - 2*p**2 - 2*p + 55. Suppose -2*a + 11 - 3 = 0. What is u(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = 2*b - 28. Let g be ((-12)\/(-9))\/2*b. Let f = 2 - g. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*j, 1445 = m - 9*j + 5*j. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -c6b64c?\nAnswer: c6b649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148560154.\nAnswer: 2, 74280077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22817713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -5, -79, 1, 4 in descending order.\nAnswer: 5, 4, 1, -2, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1154 = 2*j + 4*s - 5*s, -j - 5*s + 577 = 0. Let m = j + -574. Factor 1\/6*c**2 + 0*c - 1\/6*c**4 + 0 + 0*c**m.\nAnswer: -c**2*(c - 1)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b - 2*b - 8*b in the form q + o*b and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*b + 8 = 34*b. What are the prime factors of 24*15\/b*286\/33?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-14 + 43 - 9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 2 s, and 1 c when four letters picked without replacement from {v: 1, m: 3, c: 9, b: 2, s: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/7 - 58\/(-203).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/280 and 109\/490?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 306*y - 5142. Let s be v(17). Calculate the greatest common divisor of s and 34590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**5 - 45*g**4 + 102*g**3 - 6*g**2 - 99*g + 51.\nAnswer: -3*(g - 1)**3*(g + 1)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -z**7\/420 - z**6\/120 - z**5\/40 - z**4\/24 - 8*z**3 - 24. Let n(g) be the third derivative of x(g). Give n(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51617 > 6452148\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*a - 3*a + a - 2*a + 0*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**6\/240 - q**5\/15 + q**4\/8 + 3*q**2. Let a(z) be the second derivative of k(z). What are the prime factors of a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*s**2 + 11*s**2 - 4*s**2 + 7*s**2 - 2.\nAnswer: 36*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -117811213*k**2 + k + 93410645 wrt k?\nAnswer: -235622426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2704 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b - 1. Suppose 22*o - 19*o - 162 = 0. Calculate the remainder when o is divided by r(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 26 in -1\/6, -3, 9, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 49*r**2 + 48*r**2 + 21 + (-2*r + 1 - 1)*(r - 2*r - r).\nAnswer: 3*r**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**(-33))*o*(((o*o*o*o\/((o**(2\/37)*o*o)\/o)*o)\/o*o)\/o)\/o)\/((((o**(3\/20)\/o)\/o)\/o)\/(o*(o**(1\/14)\/o)\/o)) assuming o is positive.\nAnswer: o**(-145727\/5180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-6*(-144)\/(-4212))\/(-1 - 7)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 7 - (-12 + 12 - (6 - 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a + 6896 = 2176. Does 59 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 7 - (-2 - 2). Suppose c*o = -0*o + 525. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 6*f - 12. Suppose f*u = 4*u - 16. Suppose 3*n - u = -n. Solve 3*c - n*m - 5 = 11, 5*c - 18 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4226?\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 2*y + 25, 3*q = -5*y - 7*q - 8*q - 190 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*q, q = -3*r - 0*r - 35. What is the units digit of (r\/8)\/(1\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**2 + 33*t - 16. Let a = 14 - 31. Let p be c(a). Put p, 0, -3, 3 in descending order.\nAnswer: 3, p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**6\/2 - 3*h**5\/5 + 3*h**4\/2 + 2*h**3 - 3*h**2\/2 - 3*h - 8. Factor l(m).\nAnswer: -3*(m - 1)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 48*l**3 + 58*l**3 + 8*l**3 + (2*l - 3*l + 5*l)*(-2*l**2 - 3*l**2 + 3*l**2).\nAnswer: 106*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*b + 106*b = -95*b - 25029 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -13. Suppose -10 - 10 = -a*k. Suppose -2*o + 4*o - 5*r = -19, -5*r = k*o - 37. Solve 2 = o*y - 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 8, -2*m - 5*x = 13 - 121. Let i = 48 - m. Let l(q) = -106*q**3 + q. List the prime factors of l(i).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 - 3*v**2 + 15*v - 5. Let w(z) = -z**2 + 8*z - 2. What is -2*j(h) + 5*w(h)?\nAnswer: -2*h**3 + h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 134 + -64. Is u a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 5*a**2 - 3*a - 2. Suppose 6 = 2*g, -3*g + 13 = d - 0*g. Let i be q(d). What is the second derivative of -i*n**2 + 2*n**2 - n - 2*n**5 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 637473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 23760 divided by 3?\nAnswer: 7920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 32 = 6*y - 2*t, -t = 2*y - 39. Solve 6*z + 2 + y = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259616 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 218885003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from phvoppvvvvvvhovpp?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/(-1)*(-18)\/15 - 3. Let b(s) = 4*s + 29. What is the smallest common multiple of b(-5) and -2 - (116\/(-6))\/((-10)\/t)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 p when four letters picked without replacement from {s: 3, c: 10, k: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-3 - ((5 - 3) + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11774c3 + -4?\nAnswer: -11774c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 116*j**3 + 10*j**2 - 86*j + 10. Let l(z) = 117*z**3 + 8*z**2 - 86*z + 8. Let i(m) = 5*l(m) - 4*q(m). What is the second derivative of i(h) wrt h?\nAnswer: 726*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 200, 184, 166, 146, 124?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -43*i + 16. Calculate p(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447029?\nAnswer: 11, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -8. Suppose -12*y = -14*y + 24. Solve n*k = -k - y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-2)*((-304)\/(-6))\/(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 106, 5, -4, 4 in ascending order.\nAnswer: -5, -4, 4, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.3 - -3. Sort -4, a, 0.4.\nAnswer: -4, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)\/(sqrt(27)\/sqrt(3)))\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 337120 at most 337017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5*-1*sqrt(21)\/sqrt(3) + -4 + sqrt(14)\/sqrt(32)).\nAnswer: 12 + 57*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1571251, -6285247, -14141901, -25141207, -39283159, -56567751, -76994977, -100564831?\n\"Answer: d**3 - 1571335*d**2 + 2*d + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + j**2 - 4*j - 6. Let u be t(-2). Let g be -2*3\/8*29\/87. What is the nearest to u in g, 2\/7, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/1)\/((24\/16)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i**2 + 19*i + 23. Calculate d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5822581 and -0.03?\nAnswer: 5822581.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -160*d**2 - 54*d + 17043 wrt d.\nAnswer: -320*d - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppbppgpzxgpyppg. Give prob of sequence zbp.\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1152506017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) -0.1  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -113, 430486 in ascending order.\nAnswer: -113, -3, 430486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3088909 is divided by 217?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1220 and 610?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/42 in -11\/14, -0.4, 5, 72, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 575898 divided by 3.\nAnswer: 191966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4)\/x**(2\/5))\/(x\/x**(-1))**(16\/5)*((x\/(x**0\/x))\/x**(-3\/8))\/((x*x\/(x**5\/x))\/x*x**(-6)) assuming x is positive.\nAnswer: x**(193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 33*b**2 - 2*b**3 - 777*b + 419*b + 376*b + 11. Determine s(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 7*r + 22. Suppose 3*k - 48 = -k. Let g = k + 8. What is the lowest common multiple of o(-7) and g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53113595?\nAnswer: 5, 173, 61403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 94463?\nAnswer: 94463.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 1 = 9. Suppose 0 = -52*r + 54*r - 14. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2*-30)\/(2\/(-5)). Let f = o + -145. Solve 2*t = 2*m - m + 7, -f*t + 25 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*x. Let w(j) be the first derivative of 1 + 0*j + x*j**2 + 0*j**5 + 2\/3*j**3 + 1\/3*j**6 + 0*j**4. Find the third derivative of w(a) wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-2 + -9) - (20 + 8 + 14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00012486 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -17, -20, -25, -32?\n\"Answer: -a**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 - 2*t**2 + 5*t - 1. Let s be a(5). List the prime factors of 4\/(-6) + s\/3.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 347738154 to the power of 1\/3, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*z - 14*z + 8*z to d*z + f and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*a + 425 = 11*a - 1339. Let d(f) = 14*f**2 - 9*f - 9. Let x(r) = -r**2 + r + 1. What is a*x(k) + 4*d(k)?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 7*y**2 - 6*y - 5. What is the lowest common multiple of (1*4)\/((4\/(-40))\/((-840)\/600)) and i(5)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2134 + ((-32)\/(-12) - 2\/3). Let r be b\/(-32) + 1\/(-4). What is r rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 4*x = 4. Let s(g) = 281*g - 8. What is the remainder when s(x) is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -15*h**2 + 35*h - 21. Let o(y) = 4*y**2 - 10*y + 6. Let f(t) = -2*k(t) - 7*o(t). Let c(d) = 6*d**2 - 2*d + 2*d. Give f(c(v)).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + p**2 - 2*p. Let c be g(-2). Suppose -2 = 2*j, c = z - 3*j + j - 4. Let w = 10 - 7. Solve -z*h - 5 = -w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + 6. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1)*r*r)**(1\/26))**18*(r*r**(4\/3)*r*r*r**2)\/((r*r\/r**(2\/11))\/r*r**6*r) assuming r is positive.\nAnswer: r**(-340\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.62 - 0.82. Let v = 15652 + -109307\/7. Let n = -37 + v. Which is the closest to n?  (a) g  (b) 4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*o - 424237 = -1301797. Let q = 48542 + o. What is q rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.720583 rounded to 1 dp?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -6 + (8 - (5 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 11318 = 2*z, b + 4*z = z + 5661. Let u = b - 2587. Suppose -u = -8*p + 17097. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiixixiiiii. What is prob of picking 1 x and 3 i?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 512*m**2 - 400150*m + 521602667.\nAnswer: 1024*m - 400150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.162 in 5, 48, 4, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r - 132 = -162 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {c: 2, x: 8, k: 3, w: 7}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2066.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -70 or -20?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 40*k**2 - 3*k + 7. Is u(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b**2 - 107*b + 3. What is the remainder when o(-20) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 58787709 or 58787707?\nAnswer: 58787709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 459 a factor of 19832808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000028448 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6790 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/76 + 253\/(-418). What is the nearest to d in -4, -1, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, f: 4, e: 2, a: 2}. Give prob of picking 1 k and 1 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-17)\/159 + (-4)\/(-12). Let h be ((-1)\/(53\/2))\/(945\/(-10440)). Let j = h - y. Are -1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 954761.4 times 3?\nAnswer: 2864284.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**4 + 600*k**3 + 36282*k**2 - 1350292*k + 2550624 = 0?\nAnswer: -163, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -303 + -41. Let t = -183 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -487*z = -475*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 7) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 111123833 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 272759*c**2 - 2*c - 272755*c**2 - 3 + 0 + 7*c**3. Determine s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4*r - 37285 = 0, 73*s + 3*r = 74*s - 12398. What are the prime factors of s?\nAnswer: 11, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 3 - (-15 + 15) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**2 - 2*w**3 + w**2 - w**2 + 0*w**2 to the form s*w**3 + o + l*w + h*w**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2212.312 - 2220. Let u = k + 0.288. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 187 - 196.1. Let q = 9.100106 + d. Round q to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4023 and 8046?\nAnswer: 8046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + 4*p + 18. Let v be g(6). Let m(j) = -j**2 + 5*j + 11. Determine m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.2954699 kilometers?\nAnswer: 295469900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 6. Suppose -4*c = 5*g - 73, g - z = -0*g + 4*c. Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255422 is divided by 2094?\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5133571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2046905819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(1*sqrt(11)) - ((sqrt(102)\/sqrt(6))**2 + 3).\nAnswer: -20 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*b**2 - 10572*b - 21132 = 0. What is b?\nAnswer: -3522, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1124 is divided by 200?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*u + 39*u + 44*u + 48*u - 160*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 122*t**6 + t**2 + 4 wrt t.\nAnswer: 14640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -417 + 441. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.178, -5\/3, -3, -0.3 in decreasing order.\nAnswer: -0.178, -0.3, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, -24, 11, -406 in descending order.\nAnswer: 11, 5, -2, -24, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 + 26. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -197 - 29. Let p = i - -389. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*l**2 - 18*l**2 + 3*l - 7*l - 1 in the form c + y*l + j*l**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2769*p - 84008 = 109822 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3584 = -5*d - 11*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 451311 divided by -2.\nAnswer: -451311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1846738766 to the power of 1\/2, to the nearest integer?\nAnswer: 42974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 122 and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55.1 + 52.1. Let o = 5 + -3. What is the second biggest value in o, c, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*c**2 + 3*c**2 - 2*c**2)*(-14*c + 33*c - 14*c) + 0*c**3 + 0*c**3 - 2*c**3 to the form b*c + x + k*c**3 + z*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -4\/7, -0.08, 2\/23?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*q + 11*q - 35 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -4 + -4 - (1 - 2)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2311314053 + 2?\nAnswer: -2311314051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 7.9. What is the third biggest value in o, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 6:38 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 7:05 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6714056 millimeters to kilometers.\nAnswer: 0.0000006714056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**2 - 420*a.\nAnswer: 5*a*(a - 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10620.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53311, -52530, -51749, -50968, -50187, -49406?\nAnswer: -48625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**4 + 3*b**4 - b**4 + (-b - 2*b + 2*b)*(-10*b**2 + 10*b**2 - 11*b**3) - 2*b**4 + 5*b**4 + 2*b**4.\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - i - 2. Let h be j(-1). Suppose h = -3*p + 5*r + 14, -r = -5*r - 16. Let v(x) = -4*x**3 - 2*x - 4. What are the prime factors of v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43866953369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 6:56 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*l = 82*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 106.7249.\nAnswer: 320.1747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/(-6) - (-3449 + 3502))\/(1 + (-11)\/6).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 324 and 144666.\nAnswer: 289332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1079 + -466. Let q = k + -56. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60420 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 326*c**3 + 3*c**4 + 518*c**2 - 270*c**2 - 1 - 251*c**2 to the form z*c**2 + s + y*c**4 + o*c + l*c**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*n + n**2 + 11*n + 0*n**2 - 2 + 11*n to s*n + w + a*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7876005ml to litres.\nAnswer: 0.0007876005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*q**3 + (2*q - 3*q + 0*q)*(-5*q**2 + 2*q**2 + 2*q**2) + q**3 + 0*q**2 + 0*q**2 + (-3*q**3 + 5*q**3 - 3*q**3)*(-86 + 17 + 1).\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m**2 + 2*m**2 + 3*m**2)*(0 - 3 + 4)*(7*m - 1 + 1) in the form d*m**3 + f + t*m**2 + n*m and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 50 - 54. Put -1, t, -12 in increasing order.\nAnswer: -12, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 0  (c) -0.12  (d) -1084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9935.\nAnswer: 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 2)*(-3*b**5 + 4*b**5 + b**5) - 12*b**5 - 2*b**3 - 17*b**5 + 24*b**5.\nAnswer: -7*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p = 8*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 150111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/4, -4, 156, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36467 + 82252. Let j = t - 45794.0006. Let a = 9 + j. What is a rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.58 - 29.58. Let o = 28.999933 + b. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2709 and 669.\nAnswer: 604107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 - 74 - 72 - (0 - 8 - -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 451 or 455?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 31. Let x = 26 - p. Let h(q) = -q + 259. Is h(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -430\/1049 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 42643 - 3?\nAnswer: 42640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**2. Let k(j) = -1199*j + 2341*j - 1292*j. Give k(m(d)).\nAnswer: -450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44669?\nAnswer: 19, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -5, -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11 from 84551575327.\nAnswer: 84551575316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from {g: 4, q: 2, d: 2, p: 3, k: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((-19 - 41) + 16 - (-3 + 7 - 6))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-2) - 19\/(76\/(-1650)). What is the highest common factor of 46 and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 + -10a3?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (35 - 6) + (-1)\/(-1). Suppose -p = -i - 8. Solve -5*s - i - 3 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142131568.\nAnswer: 2, 1777, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 3*p - 56. What is the hundreds digit of h(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000017086069222 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of 5*m**4\/3 - m**3\/3 + m**2 + 6*m - 1. Does 13 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -211 + 215. Solve -2*i + g*i + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 516?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o - 2. Let v(m) = 3*m - 9. Let r(j) = -18*u(j) + 4*v(j). Let n be r(1). Is 4\/12 - 1552\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d + 1 - 1 + (-1867 + 67 - 236)*(-d - d + 0*d).\nAnswer: 4074*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {q: 2, g: 3, u: 4, f: 8, t: 1, l: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y - 10 - 5 - 19. Let j be k(-19). Suppose u = -4*s + 25, 0*s - j*u = -s + 2. What is the greatest common factor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 226*k - 680. What is o(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 9) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - 18. Let r = d + 25. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5561.53l in millilitres?\nAnswer: 5561530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + -6*(-5 + sqrt(176) - sqrt(176)) - (0 + sqrt(176)*5 - sqrt(176)))**2*5.\nAnswer: -3600*sqrt(11) + 12420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19259\/5 - 3852. What is the fourth smallest value in 2, 0.1, -2\/21, q, -3.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 72 = -5*v, 5*s = 4*v - 45 - 29. Suppose 466 = -v*q + 18*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000009286 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-20) - (-2)\/10. Let y(r) = r + 18. What is the units digit of y(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*f, 3*s - f + 0*f = -16. Let p = s - -15. Let j = -6 + p. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -112*y**2. Let n(m) = -2*m**2 + 6*m - 6. Let h(q) = 8*q**2 - 22*q + 22. Let j(v) = -6*h(v) - 22*n(v). Calculate j(o(z)).\nAnswer: -50176*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) 12836\/585  (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**2 - 27 - a**2 + 32 in the form q*a**2 + y + n*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1129313390 and 3130?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -1451. List the prime factors of x.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -823, -714, -485, -142, 309, 862, 1511?\n\"Answer: -q**3 + 66*q**2 - 82*q - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 2\/3  (b) -23658  (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2 = 3*j. Suppose -2*d = -k - 3, 0 = -j*d - 2*k - 2 + 14. Solve -3*z + d*y + 18 = 0, 2*z + 0*y + 2 = -5*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -7. Find the first derivative of 272*q**3 - 272*q**3 - p - q**4 wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.079367 times -22?\nAnswer: -1.746074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 7119124, 14238239, 21357354, 28476469, 35595584?\n\"Answer: 7119115*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 112761 and 12804.\nAnswer: 43751268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 73371.87ml in litres?\nAnswer: 73.37187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j - 1. Let y be z(-1). Let b be 9\/(27\/6) - (y + 2). Do b and -2\/243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25*k**2 - 18*k**2 + 13*k**2)*(-1 + k + 1) - k**3 + 2*k**3 + k**3 + (-3 - k**2 + 3)*(5*k + 10*k - 6*k) as p*k + d*k**3 + g*k**2 + a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -290*i**2*r + 298183*i**2 + 440*r wrt r?\nAnswer: -290*i**2 + 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s + 4*s + 5 - 1 + s**2. Let l be y(-4). Let b = -1 + 1. Are b and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-304)\/(-247))\/(86 + -88).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - 55\/25)\/(3\/15). Suppose 0 = -g*n + 15*n - 552. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {u: 1, r: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3*w + 3. Let d(t) = -t - 14. Let i be d(-11). Let j(v) = -v**3 + 7*v + 7. Calculate i*j(r) + 7*b(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -23*z. Let u(r) be the first derivative of -7*r**3 + 8*r + 1794. Determine x(u(i)).\nAnswer: 483*i**2 - 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -3 + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.552 - 2.73. Let k = -0.022 + o. Let d = -0.9 + 0.9. What is the closest to d in k, -2\/23, -0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, m: 2, x: 1}. What is prob of picking 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 7)\/(8\/8). Suppose -15 = -0*b - r*b - v, b - 12 = -2*v. Suppose b*m + 22 = 338. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 4*n - 10, -3 = 3*w + 2*n + 4. Let o(s) = 3*s**2 + s + 3. Calculate o(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 2 = 4*z. Let u be (-1 - z) + 7 + -3. Suppose -2*n = 5*h + 16, 3*h - n + 12 = -3*n. What is the third smallest value in u, -2\/11, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.44  (b) 18474  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1026\/11628*476\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 74.931 + -75. Let g = -72.069 - a. Let q = 57 + g. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -601 + 661. What is the remainder when f is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 24 = -4*r, 2*r + g + 6 + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 35*s**3 + 945*s**2 - 9361*s - 11. Let p(n) = 22*n**3 + 630*n**2 - 6239*n - 7. Let c(z) = -7*a(z) + 11*p(z). Factor c(m).\nAnswer: -3*m*(m - 94)*(m - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2847410 divided by 2847410.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*j = 0, 3*j = -5*g + j - 29. What is the second biggest value in g, 2\/9, -4, 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 8*n**2 - 720*n + 10. Let y(f) = 2*f**2 + 7*f + 2. What is -t(w) + 5*y(w)?\nAnswer: 2*w**2 + 755*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 2194254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -18. Let s(c) be the first derivative of 2*c**2 + c + 4. Calculate the lowest common multiple of a and s(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 1:53 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 894010?\nAnswer: -894010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1594.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 350, -5, -3, 0 in increasing order.\nAnswer: -5, -3, 0, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -11032?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-11)\/(-22) - (-35)\/2. Suppose 0 = a*i - 16*i - 24. Calculate the remainder when 34 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.933728 + -27116642.\nAnswer: -27116639.066272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -306*o + 7849 + 107 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9975 = 856*x + 14548 - 8259 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 8:05 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 + 5*j**2 + 2*j + 7. Let d(m) = 3*m**3 + 14*m**2 + 7*m + 21. Let c(q) = -2*d(q) + 7*z(q). Calculate c(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 - 10*f + 12. Let o be a(-9). Suppose j + 0*j = -4*g - o, -j + 2*g = 15. Let y = -7 - j. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 367209773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 6*m + 66. Suppose -2*w = w + m. Let k = 5 - w. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 7 + 1174*d**2 + 157*d**2 + 608*d**2 + 174*d**2 in the form o + v*d**2 + l*d and give v.\nAnswer: 2113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (5 + -4*(sqrt(112) + sqrt(112) + sqrt(112) + -2))**2 + 0 + (1 + sqrt(112)*3 - (sqrt(112) - 4*sqrt(112))*6).\nAnswer: -1164*sqrt(7) + 16296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/4 + 247*b\/4 - 870.\nAnswer: -(b - 232)*(b - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -3060\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 6:12 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-4*((-720)\/220)\/(-36))\/((-222)\/99)\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 54749*c**2 - 149*c + 47*c - 54722*c**2 to the form x*c**2 + i + a*c and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 1. What is the greatest common divisor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ccccccczzc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, 4\/3, -3385\/2, 0.3, -48?\nAnswer: -3385\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -472 - -6134\/13. Let x = 41\/78 - 9\/13. Which is the biggest value?  (a) g  (b) -1\/7  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.3, 1\/7, 3, 0.4, 21.3?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 98 - 94. Suppose 5*i - x - 95 = -0*i, 2*i + 3*x - 55 = 0. Suppose -3*o = -o - i. Calculate the greatest common divisor of o and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/30)\/((-4)\/200*-5*-14).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165116927.\nAnswer: 293, 653, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 1440 = -315. Let i be (w\/(-90) - (-1)\/2)*-85. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3520 times -0.3?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.12 > -0.8841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11382681 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 10, q: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 7904 + 8014 = 4*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**2 + 0*x**4 + 0*x**2 - 2*x**4 + (-1 + 1 - x)*(-3*x**3 + 24 - 24).\nAnswer: x**4 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41080.\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051704781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**31\/((u*u*u*u*u**2*u*u)\/u)*(u**(-24)\/u)**(-3))**(-40\/7) assuming u is positive.\nAnswer: u**(-3960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -137, 424, 985, 1546, 2107?\n\"Answer: 561*r - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32856 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 1\/3, 44, -11, 84?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 135.485 plus 601068?\nAnswer: 601203.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-5\/3)*l)\/l**(-8)*l*l**(-6\/5)*l**(-18)\/l*l assuming l is positive.\nAnswer: l**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ca44 (base 15) to base 13\nAnswer: 16645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.77 + 0.7763. 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: In base 2, what is 101000011001001000101 - 11?\nAnswer: 101000011001001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 3*i**4 + 3963*i**3 + 1742391*i**2 + 253797705*i - 514596726 = 0?\nAnswer: -441, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/12?  (a) 40  (b) 0.5  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/7 in 162, -0.5, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 23 - 7)*(-j**2 + j**2 + j**2)*(j - 4*j + 2*j)*(-2 - 2 + 2).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 52, -1.3304, -11?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4051798, 4051796, 4051794, 4051792?\n\"Answer: -2*g + 4051800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + 0. Suppose -4*g + y = z*y - 23, 3*g - 16 = -5*y. Calculate the lowest common multiple of g and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20\/199, -31\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.16 + -1.66. Let o = 0 - -1. Sort o, -1, r, 3 in descending order.\nAnswer: 3, o, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 345.3 - 345. Suppose f = -5*t + 4 + 3, -t = -f - 5. What is the third biggest value in -5, 2, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66 and 6666.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.7 - -2.3. Let k be 1\/(-3) - 2\/(-6). Let b = 1 + k. Put z, b, 1\/6 in ascending order.\nAnswer: z, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2123*f**6 + 4*f**5 + 4*f**4 + 705*f**2 - f. Let c(o) = -o**5 - o**4 + 5*o**2. Let y(i) = 4*c(i) + w(i). Find the third derivative of y(g) wrt g.\nAnswer: 254760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (7 + -9)\/(1\/(-23)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**4\/24 + 4*x**3 + 11*x**2. Is f(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (5 - (6 + -4 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -2 + 7 + 0 + -8 + 4 - 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -i - 7, -5*i = 5*m - 3 + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 530171 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25.1*-2.69.\nAnswer: 67.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -12354 (base 7) to base 11\nAnswer: -2506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.5 - -12.5. Let t = 16 - o. Is 0.05 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 4. Solve 2*b = -0*b - t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 100 - 17. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*p**3 - 20*p + 7*p**3 - 2*p**3 - 35*p**3 wrt p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 37 + 9 - 14*i + 4*i + 15.\nAnswer: -10*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*o - 18 = 0, -5*f + 24 - 56 = -4*o. Let q be (-2)\/f - 85\/180. Sort 1.1, q, 2 in descending order.\nAnswer: 2, 1.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(-7\/8)*j**(-1\/23)\/j*(j**4)**(-13) assuming j is positive.\nAnswer: j**(-9737\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -52*m**3 + 2*m**2 + 2*m + 1. Let c(v) = v + 13. Let a be c(-14). Is u(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*y - 26*y + 36*y = -311*y - 100*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 255 (base 10) to base 8\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33513 = 26*g + 13*g - 33279 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -b**5\/60 + b**4\/24 - 5*b**3\/2 - b - 8. Let s(g) be the second derivative of o(g). What is s(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -4153*j - 4286. List the prime factors of k(-6).\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (6 + -11)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 26. Let d(o) = o + 27. Calculate the remainder when d(i) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28231704 and 108?\nAnswer: 84695112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 48, 71, 124, 219, 368?\n\"Answer: 2*w**3 + 3*w**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 44*r**2 - 45*r + 172. Let i be j(-43). Solve 0 = -257*z + i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 422\/12 - (-15)\/(-90). Let w = 37 - c. What is k in w + 6*k**3 + 7*k + k**4 + 9*k**2 + 5*k**4 - 5*k**4 - k**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 172 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from mlmmmkmrklmmrrklfkl.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -6*y**2 - y**2 + 4 - 4. Suppose 0 = -5*x - 2*v + 16, 3*x - 3*v + 11 = 4*x. Let u(w) = -w**2 - w**2 + 4*w**x - w**2. Give t(u(b)).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 867 and 886669?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -151203905, -302407811, -453611717, -604815623?\nAnswer: -756019529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 3*u = 0. Suppose u = 5*f, -4*p - 2*f + 12 = 3*f. Suppose 0 = -k + 2*g, -4*k + 0*k + 33 = 3*g. Calculate the highest common factor of p and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9315542.86 and 41134.\nAnswer: -9274408.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 343024015 + -1?\nAnswer: 343024014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -4. What is the units digit of (34\/2)\/1 + o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 6:01 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584)*-1 + 4))) + ((sqrt(1584) - (0 + sqrt(1584))) + 3 + sqrt(1584))*4 + 1)**2*3.\nAnswer: -132660 - 14256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29445972\/577524 - 2\/(-149)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13342380 is divided by 126?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44027, -352090, -1188245, -2816534, -5500999?\nAnswer: -9505682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -911*o**6 - 92898*o**4 + 22*o**2 + 2331053*o.\nAnswer: -109320*o**3 - 2229552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 62\/14 + 12\/(-28). Let a(s) = -7*s**2 - 1 + 2*s**2 + 6*s**2. Let j be a(-2). Solve j*w + w + c = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 251946145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -9754.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 12 = -7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, 0, 5, -5, 1, -104 in decreasing order.\nAnswer: 33, 5, 1, 0, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**4\/24 - 3*p**3\/2 + 20*p**2. Determine r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 * 6.6\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/5))**(9\/5)*m*m**(-5)*m*m**(-3)*m)\/(m\/m**(-8\/5)*m*m**2*m\/(m\/(m**(2\/7)*m))*m*m**(2\/17)*m) assuming m is positive.\nAnswer: m**(-43802\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-7)*(-7623)\/(-594)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -193, 1, -2, -3, -886 in decreasing order.\nAnswer: 4, 1, -2, -3, -4, -193, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 266*v + 2*v**2 - 266*v + 1409633 - 1409633.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 9. Let u(k) = 95*k**3 - k**2 - 3*k - 2. Let y be u(-1). Let d = 100 + y. Determine b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 1:42 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -11*q**2 - 29*q + 15. Let m be a(-3). Let h be 1 + 0 - 2\/(-2). Solve s = -m + h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*j + 16 = -44 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s**2 - 2*s + 5*s - 25*s**3 - 5*s. List the prime factors of w(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of -o**5\/20 - o**4\/4 + 2*o**2 + 2*o. Factor u(f).\nAnswer: -(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -1, -60, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 588\/(-74) + (-2 - -10) + (-779)\/37?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -59 + 64. Let o be (i + 1)*48\/36. Let u(n) = -n**2 + 9*n + 2. Let k be u(o). Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*t**3 - t**2 + 160*t?\nAnswer: -342*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 254710.0743474 + -254710. Let h = 2.4257576 + b. Let x = h - 2.5. Round x to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 1.1  (b) 0  (c) -7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a - 17. Let b be m(-19). Suppose b*x = -2*g, -3*g = 4*x - 2 + 7. Suppose -6*n = 2*n - 24. Sort n, x, -2, 1 in decreasing order.\nAnswer: n, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7.3 in -1, 0.32, -2\/3, -0.09, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -5, -13, -4.9 in decreasing order.\nAnswer: 1\/4, -4.9, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {h: 1, a: 1, d: 2, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49 and 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4\/141 + -81\/94. Let f = -1.86 - -0.06. Let q = f - -0.8. Which is the closest to 0.3?  (a) q  (b) d  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 + -31. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 4445?\nAnswer: 4450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/13 - 2) + 394\/26. Let r = 18 - k. What is the smallest common multiple of 7 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 2*b + 2*b + 132, -2*a - 136 = 5*b. Let l = -58 - a. Let t = 109\/84 - -1\/28. What is the nearest to l in 0.5, t, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v**2 - 16*v**2 + 51*v**2 - 11*v**2 - 17*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-9)*0 - -13. Suppose 3*n + g = 5*c, 2*n - 4*c - 33 = -9*c. Suppose -26 = -p - 10. Solve 4 - p = n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 164 - 159. Solve -g - 8 = 2*w + 3*g, v*w - 16 = 2*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z**5\/5 + 1916*z**4 - 11472048*z**3\/5 - 1916*z**2 + 2294410*z = 0 for z.\nAnswer: -1, 0, 1, 2395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/4 + 1\/(-4). Suppose c*x = 3*x + 36. Calculate the common denominator of (x\/(-16))\/((-6)\/(-142)) and -5\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 10:07 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 455572 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from {g: 2, t: 3, r: 6, c: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**3 - 7*x. Let p(j) be the second derivative of -j**5\/20 + j**3\/3 - 233*j. Calculate -14*p(w) - 4*u(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 6*m**2 + 3. Let i be p(6). Let b(o) = 71*o - 66*o - i + 3. Let k(y) = -6*y**2. Calculate k(b(h)).\nAnswer: -150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g - 4*g + g - 3*g - 5*g + 6*g - 5*g + 5*g - g + (1 - 1 + 2*g)*(-3 + 1 + 1) as z*g + y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*y**3 - 6451*y - 108*y**3 - 61*y**3 + y**2 + 228*y**3 as t*y**2 + p*y**3 + a*y + w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, l: 5, k: 1}. What is prob of picking 3 k and 1 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.39286 decades to years.\nAnswer: 383.9286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, l: 1, o: 2, f: 2}. What is prob of sequence vo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssusuusss. Give prob of picking 3 s.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*d**4 - 5*d**4 + 4*d**4 + (-d**3 - 2*d**3 + d**3)*(-2*d + 2*d + 2*d) + d**4 - 6*d**4 + 4*d**4 - 5*d**4 + 4*d**4 - 4*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.6  (b) 10  (c) 0.2  (d) 1317  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2307, -2305, -2303, -2301?\nAnswer: -2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 + -27. Calculate the smallest common multiple of 64 and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -3  (c) 14\/15  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187 is divided by 57?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of 3*u**7\/7 + 5*u**4\/2 - 61*u**3 + 37. Find the third derivative of l(r) wrt r.\nAnswer: 360*r**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 0*x - 2 = -4*x, 0 = x + 4. Suppose -6 = 3*j - h*j. Solve 3*p - j = 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 10*f - 378 = 0. Let z be (4\/(-6))\/(112\/f). What is the third smallest value in -0.3, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 68838533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 118ab (base 12) to base 8.\nAnswer: 56303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-5 + 0 - (-26 - (-22 - (-26 + 23))))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82515503?\nAnswer: 7, 47, 250807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 + 5440308*z - 32641992.\nAnswer: 4*(z - 6)*(z + 1360083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*n + u + 30, u = 2*n + 5. Put 14, n, 3\/2, -0.3 in descending order.\nAnswer: 14, 3\/2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 2370?\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 2. Solve 3*l = 4*x - 23, -5*l - 15 = -m*x - 10*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -2*r**2 + 16*r - 1624. Let q(v) = -4*v. Determine d(q(i)).\nAnswer: 16*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -2 + 1*sqrt(17) + sqrt(34)\/sqrt(2)*4)**2.\nAnswer: 10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22834039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/76 + (-3124)\/1349 + (2 - 3\/(-8))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 11986839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49.9 + -49.8988. What is w rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 425741 and 2439?\nAnswer: 3831669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 263 - -23?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r + j + 3 = 0, 0 = -3*r - 2*j + 7. Let w = 0.2 - 114.2. Let v = 111 + w. What is the third biggest value in 9, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 6 + 0)*(-5 + 2 - 8)*(-5*n - n - 2*n) to the form h + o*n and give o.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - j. Suppose -2*t = 6, 0 = y + 5*t + 11 - j. Solve 0 = 4*p - y - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/6)\/(2\/15). Suppose -2*b + 0*b - 8 = 0, 0 = -4*c + b + 100. Suppose 0 = z - 4*a - c, -2*a = p + 3. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3308 + -3307.8. Put o, 1, 4, -0.7, -41 in descending order.\nAnswer: 4, 1, o, -0.7, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 minus 18598?\nAnswer: -18597.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 51, 199, 445, 789, 1231?\n\"Answer: 49*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z. Let q(d) be the second derivative of 28*d**3\/3 - d - 4. Give q(l(n)).\nAnswer: 168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12, -60, -140, -252, -396, -572, -780?\n\"Answer: -16*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i**2. Let y(m) = 17*m + 6. Let j(o) = -33*o - 11. Let c(n) = -6*j(n) - 11*y(n). Give c(v(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g\/g**(2\/5)*g*g\/g**(-1\/2)*g*g*g**(1\/3)\/g*g**(-1\/12) assuming g is positive.\nAnswer: g**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1*(sqrt(1573) + sqrt(1573)*-2))**2 + ((sqrt(1573) + sqrt(1573) + -1 + 1)**2 - (1*(sqrt(1573) + 0))**2).\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 68.5 times 0.121\nAnswer: 8.2885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28453641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/200 and -23\/420.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13027 + -7505. Suppose -26*h + 848 = -n. What is the least common multiple of 2 and h?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -7348*a + 22044. Determine f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 2 = 16 + 2, 2*h = -46*m + 47 + 157 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 21*w - 4. Give f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -16 and 690.\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1008\/20 + 6)\/(2\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + p**2 - 2*p + 4. Let h be x(3). What is the tens digit of 189\/11 + h\/110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 17 = r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 4 - 6)*(1293 - 2698 + 1327)*(-5 + 5 + 2*m) to the form i + w*m and give w.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 + 5*x**2 - 5*x**2)*(-x - x + 0*x - 3*x - 2*x + 6*x + (-3 - 3 + 5)*(-1 + 1 - 2*x) + 3*x - 9 + 9).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13796 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: Let v be (4 + -3 - -7)*(-5)\/(-10). Let c(r) = 42*r - 129. Let t be c(v). Solve -7*x - t = -11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/24232 and 81\/2283866.\nAnswer: 9135464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2886.7 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 67ba8 (base 12) to base 6\nAnswer: 2543532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2481607 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of 1\/9*w**4 - 1 + 2\/9*w**3 - 1\/15*w**5 - 7*w - 2\/3*w**2. Let i(u) be the first derivative of k(u). Factor i(q).\nAnswer: -4*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5715 - 4258. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -17, -968, 3 in descending order.\nAnswer: 3, -17, -29, -968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 230213343 - 23?\nAnswer: 230213320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4521569*l**2 - 2*l - 1919157 wrt l.\nAnswer: 9043138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -128180 - -128180.2. Let u = 0.04 + 2.96. Let i = 127\/22 + -11\/2. What is the second smallest value in r, u, i, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/30*5\/(35\/(-4))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, i: 3, f: 10, m: 4}. What is prob of sequence af?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**5 - 3463496*b**2 - 10427940*b?\nAnswer: 20*b**3 - 6926992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 91?  (a) 0.1  (b) 5  (c) 3  (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/7)*f*f)**(2\/3)\/(f**(-2\/19)\/(f*f**2*f)))**7 assuming f is positive.\nAnswer: f**(2246\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(612) + 2)**2 + 2 + 1*(-1 + sqrt(612) + (sqrt(612)*2 + sqrt(612))**2).\nAnswer: 30*sqrt(17) + 6127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 55*p + 96. Let y be ((-11)\/(-22))\/((3\/(-522))\/((-2)\/6)). Give k(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 3, -3, 7 in ascending order.\nAnswer: -5, -3, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -4*w + 3*w - 21, 77 = -4*w + l. Find the common denominator of w and 39\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 21*c**3 - 11*c**2 - 11*c + 11. Let p be 8\/(-4)*(0 + 2). Let v(g) = -4*g**3 + 2*g**2 + 2*g - 2. Calculate p*f(y) - 22*v(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (7 - 6) + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -14*g**5 + 79935978*g**4 - 152137122380200*g**3 + 96517587104900149888*g**2 + 124094248587782775168*g + 27576509345680309088 = 0.\nAnswer: -1, -2\/7, 1903238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*(i**6*i*i)\/i*i*i)**11*(i\/((i**(-1\/4)*i*i)\/i))**(2\/21))**(-19\/4) assuming i is positive.\nAnswer: i**(-87799\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102, -416, -932, -1644, -2546, -3632, -4896, -6332?\nAnswer: -7934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -15 - (-12 + 0) - (-5 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123815 = 11*s - 16754. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40)\/1575*(-10)\/12. Let c = u - -2659\/8316. Calculate the common denominator of c and -45\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41324 - 82641\/2. Which is the third smallest value?  (a) d  (b) 0.2  (c) -83.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -403*l - 3237. Calculate d(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2163\/11 + -194. Calculate the common denominator of z and 48\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g + 3 = 0. Let y = -3 + 1. Let l be (g + -3)\/y - -2. Is 3 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-2))\/((-2)\/52). Factor 23*w**4 - c*w + 45*w**2 + 3*w + w**4 - 60*w**3 + w**4.\nAnswer: 5*w*(w - 1)**2*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 24 = 3*l - 8, -3*l + 24 = 3*x. Suppose v + 20 = 5*g - l*v, 5*g + 3*v + 12 = 0. Suppose g*w + 16 = 2*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (423\/282)\/(2667\/(-896) + 3). Let s(c) = -c**3 + c**2 + c - 2. Let w be s(-2). Let d = w - 4. Calculate the highest common divisor of b and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/1*(-3)\/(-4). Suppose l + 46 = -0*c + h*c, 0 = 3*c + 2*l - 52. Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.11 * -5\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*q**2 - 220*q**2 + 82*q**2 + 48*q**2 to t*q + a*q**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22678029 and 870?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -25*w + 61. Suppose 3*d - 159 = -156. Let l(o) = -o + 2. Let v(n) = d*k(n) + 2*l(n). Differentiate v(g) with respect to g.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-9) + (-58)\/(-18). Let x(n) = -19*n + 1. Let y be x(0). Solve -i*f + y = 2*u, 2*u = -5*f + 1 + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pptppptpttp. Give prob of picking 3 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/11440*-63 - (12 - (-632)\/(-52)).\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {d: 2, z: 2, l: 1, x: 2, o: 1, f: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-123)\/(-420) - 130\/325)\/(16\/28)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 38*j - 4. What is the units digit of y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 354 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + -1)\/((-1)\/3). Let l(m) = 2 + 0*m**2 + z*m - m**3 - 2*m**2 + 0*m**3. Let f = -12 + 9. Give l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 17370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65 (base 8) to base 10.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g - 2. Let i be j(2). What is the common denominator of 2\/(-3) - (-202)\/24 and (i\/9)\/((-6)\/28)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676.9 rounded to the nearest ten?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/4))**(1\/9)*(d*d**(-2\/3))**50)\/(d**(-8)\/d**6)**2 assuming d is positive.\nAnswer: d**(1609\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.05, 1\/2, 18\/7 in ascending order.\nAnswer: -0.05, 1\/2, 18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 834  (b) -5  (c) 573\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/(51\/(-150)))\/(-6*(-5)\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -1, 1\/41, -1.4 in descending order.\nAnswer: 5, 1, 1\/41, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8b49c (base 13) to base 2.\nAnswer: -111101111000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/30 and -79\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a + 5*a + 3*s + 550 = 0, 0 = -4*a - 3*s + 440. What is the common denominator of -95\/24 and (-719)\/(-220) - 5\/(a\/(-4))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -215034627*q = -215034614*q + 1235 for q.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4279 = 4*m - 16985. Does 51 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-36)\/(-4))\/((-6)\/(-78)). Suppose 813 + z = 3*a. What are the prime factors of a?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25283 (base 9) to base 7.\nAnswer: 100401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 152 - 122. What is the units digit of v\/24*(0 + 214 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -4*v**3 + 35*v**2 + 12*v - 27. Let f be q(9). Let x(p) be the second derivative of f - 19*p + 5\/12*p**4 - 5*p**2 + 5\/6*p**3. Factor x(o).\nAnswer: 5*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 6*t**2 - 6*t - 7. Let u be i(7). Which is the biggest value?  (a) -0.1  (b) 0.04  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0*k**(-4)*k*(k\/(k\/(k\/k**(-2\/5))*k))**(-2\/49))**34)**(-3\/34) assuming k is positive.\nAnswer: k**(2217\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*b = 80*b - 97 - 56 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 5. Suppose 3*g - y = -i + 3*i, -4*g + 3*i = -7. Let h be -1*-2*(g - -1). Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from elggeae. What is prob of picking 1 g and 2 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 + 4*c - 2. Let i be h(-5). Let m(n) = -i*n - n - 6*n**3 + 5*n. Let u = 1 + -2. Give m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 AM and 1:48 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-492)\/(-2829))\/((-2)\/2))\/((-2)\/(-1)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209*y = 206*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 693 and 72534.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14824 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 6*m + 2. Let o(k) = -k - 1. Let j(v) = -3*o(v) - u(v). Let q be j(1). Let b = 123 - 123. What is the closest to q in -0.3, b, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 87.4822 + 0.8978. Let q = h - -1.62. Let r = q - 90.0000166. Round r to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 764 times -3?\nAnswer: -2292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50433846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1931 is divided by 275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4633 and 2.\nAnswer: 9266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 6*u - 5. Let f be x(1). Let g(s) be the third derivative of -1\/240*s**5 + 0 + 1\/24*s**3 - 3*s**2 - 1\/24*s**4 + 1\/120*s**6 + f*s. Factor g(h).\nAnswer: (h - 1)*(h + 1)*(4*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 - -50. Suppose l*j + 0*f = -3*f + 13, 3*f - 5 = 2*j. Solve -s + 0*s - 4*q = -13, j*s - q = 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -334735335*u - 13697251 wrt u.\nAnswer: -334735335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 14 - -8 - 17 - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2392, -1711, -1030, -349?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -11, -33, -91, -203, -387, -661?\n\"Answer: -3*d**3 - d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of 0 - u**2 + 7\/3*u**3 + 0*u - 97\/24*u**4. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -4, 4, -1.93?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3776 divided by 32\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7743, 78061, 268929, 640623, 1253419, 2167593?\nAnswer: 3443421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 9*s**2 + 5*s - 8. Let z(p) = p**3 - 5*p**2 + 3*p - 2. Let o be z(4). Let c be w(o). Let r = -83 + c. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27\/56 + 137\/168. Let x = -37.17 - -37. Let t = x + 0.27. Which is the closest to j?  (a) -4  (b) t  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 184235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -67*g**3 + g**2 - 30*g wrt g?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 413691, 413194, 412697, 412200, 411703?\nAnswer: 411206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 27125279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 55 or -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*a**5 + 103*a**3 - 18*a - 93?\nAnswer: -200*a**3 + 618*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 91398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (3 - ((3 - 6) + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - u - 1. Let h be -4 - 6*(-3)\/6. Let o be v(h). Calculate the lowest common multiple of o\/(-4) + 36\/48 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 4:42 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -69426.\nAnswer: 1\/69426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/3)\/((-6)\/54). Let l = p + 6. Calculate the smallest common multiple of 3 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 124*z**2 - 7*z - 3. Is i(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/5 + 43268*c - 648930.\nAnswer: -2*(c - 108155)*(c - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**14\/q)\/q)\/q*q**(-2\/35))\/((q*q\/q**(1\/4))\/((q*(q\/(q*q\/q**3))\/q)\/q)))**(-4) assuming q is positive.\nAnswer: q**(-1427\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1430091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30894263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 51589376 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: Suppose 4282639 = -108*h + 15722971. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w = -8018 - 298. Suppose -4*z = -18*z + w. Suppose 58*x - 60 = z*x. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 18*y - 17. Let b be f(-9). What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of 2393*m**4\/4 + 1174*m**3\/3 + m**2\/2 - 6211*m. What is the second derivative of u(x) wrt x?\nAnswer: 14358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-10))\/(-3)*12\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s. Let n(d) be the first derivative of 3*d**2\/2 + d + 3. Let x(o) = -n(o) - 4*p(o). Let k be x(2). Do 2\/9 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10101111100111 (base 2) in base 3?\nAnswer: 120102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16792 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4358581864?\nAnswer: 2, 7, 13, 379, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, u: 1, r: 5, w: 3, g: 2, i: 5}. Give prob of picking 1 i and 1 u.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38298 = -158*m - 36876 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 - -0.1. Let m = o + -1.99. Suppose 2*b - 10 = -3*b. What is the closest to -2\/7 in b, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c - 15. Let s be t(5). Suppose s*g - 3*g + 525 = -5*m, g - 171 = 3*m. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 291 + -150. Let z be j\/27 + 6\/(-27). Solve z = 5*s - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -286 + 548. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2 + 688*k + 690 = 0. What is k?\nAnswer: -1, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 63028 or 63057?\nAnswer: 63057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1021, -2023, -3015, -3991, -4945, -5871, -6763?\n\"Answer: k**3 - k**2 - 1006*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 643159884?\nAnswer: 2, 3, 2281, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -22 - -1 - (17 - 14). Let u = -24 - p. Suppose 5*w + 12 = m, 2*m + u*m = -5*w + 24. Solve -2*c = 3*y + m + 5, -c + 3*y = -14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 780 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (-1 - -1) + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -244801940341 and 0.5.\nAnswer: -244801940340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1114a + 753?\nAnswer: 118a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -167089\/18 - -9290. Suppose -2*r + 324 = 4*r. Calculate the common denominator of v and 87\/(-2)*(-30)\/r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x = 485 - 548 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -2*t**2 - 297. Let z(c) = -c - 1. Let f = -154 + 155. Determine f*z(a) + k(a).\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, u: 1, r: 5}. What is prob of sequence riui?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**2\/11 - 1382*q\/11 - 9772\/11 = 0 for q.\nAnswer: -7, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-95*g + 77*g - 116*g)*(4*g**4 + 3*g**2 - 3*g**2).\nAnswer: -536*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**2 + 381*v - 194*v - 187*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-864)\/264)\/(-36))\/(12\/(-66))*138?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 840072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -494*r + 575. Calculate c(2).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1719312 and 4488.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22435.72 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -14\/55*s**5 + 3\/11*s**6 - 1\/11*s**4 + 0*s + 3 + 0*s**3 + 0*s**2. Suppose v(w) = 0. Calculate w.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.0763?\nAnswer: 0.3815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/5)\/f)**(1\/28)\/(f\/f**1*(f*(f\/(((f**(-7)*f)\/f)\/f))\/f*f)\/f))**(-16) assuming f is positive.\nAnswer: f**(724\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14288 divided by 38\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -20*(10\/(-8) + 1). Suppose -v*d + d = -32. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1011, 2033, 3065, 4113, 5183?\n\"Answer: s**3 - s**2 + 1018*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2309\/7, 7, 0.03, 5 in descending order.\nAnswer: 7, 5, 0.03, -2309\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.040236916 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 14\/19 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2546)\/380 + (-12)\/(-10)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9483 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 531638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/503790 and -17\/273486?\nAnswer: 9572010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.1363348 decades?\nAnswer: 0.001363348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 98*q**3\/3 - 468370*q**2\/3 + 1118299697*q\/6 + 1120173961\/3.\nAnswer: (q + 2)*(14*q - 33469)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-125925)\/50)\/((-6)\/8). Let f = s + 1195. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -67783559\/198 + 342342. What is the common denominator of 19\/21 and x?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34320000 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720)*-1 - (sqrt(20) + sqrt(180)*2))\/(((sqrt(70)*1 + sqrt(70))*5 - sqrt(70))\/sqrt(7)).\nAnswer: -13*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**3 + 125*w**2 - 2997*w - 13. Determine y(17).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 7. Let g be n(7). Suppose 96 = 4*k - g*k. Let q = -13 + k. What is the greatest common divisor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23742.4ml in litres?\nAnswer: 23.7424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/49)\/(14\/(392\/(-12)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.069?  (a) -5  (b) 7421  (c) 0.1  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0 = -36. Suppose 4*n + 25 = h*n. Suppose 1 = y + 4*o, -n*o + 8 + 9 = 2*y. Calculate the greatest common factor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n - 8. Suppose -4*u + 200 = -5*g + g, -u = -4. Let m = 44 + g. Let z be (1\/m)\/((-1)\/12). Give c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 128 = 3*j - 40, 3*j + 4*q - 168 = 0. Suppose -x - x + j = 0. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -550?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0131026 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - a - 7, -2*s - s + 13 = 2*a. Solve s*c - 4*x = -1, -2*c = c - 3*x - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-11)*c)*c*c*(c*(c**(-5)*c)\/c)\/c*c*c)**(-32)\/((c*c**(7\/5)*c**(-4))\/(c**1*c*c*c**(-2\/31))) assuming c is positive.\nAnswer: c**(-48897\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3501.52847 minus -4?\nAnswer: -3497.52847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47, 105, 171, 245, 327, 417, 515?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19902 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 1150*m - 6890. Let r be n(6). Solve -4*s + 2 = r*a - 13*a, 0 = -3*s + 3*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -662, -1392, -2122, -2852, -3582?\nAnswer: -4312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 + 127*a - 2)*(-3 + 3 + a**3).\nAnswer: 127*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -54 + (-52 - -194 - 40) + (11 - 1).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -2028228?\nAnswer: 2028224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129381862.\nAnswer: 2, 4723, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1577731 times -3?\nAnswer: -4733193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m - 84. Let r = 577 + -610. Let s be d(r). Solve -4*f - 35 + s = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 849 + -848.99998178. What is x rounded to 7 dps?\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -2, 1596002 in descending order.\nAnswer: 1596002, 39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 5*a + 1. Let v(n) = n**2 - 6*n - 1. Let y(l) = 6*v(l) + 7*w(l). Let m be y(1). Let x be (3\/9)\/(m\/(-78)). Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -852.48305 rounded to 2 dps?\nAnswer: -852.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/8710 and -55\/8.\nAnswer: 34840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 6 = 1, -5*m = -2*g. Let b = m + -2. Is b\/(-14) + (3 - 1298\/(-14)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**3 + 2*d**2 - 2*d - 1. Is t(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 4*v - 48 + 44, v - 3*t + 19 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a factor of 1427362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.204 and 3.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1194163165.\nAnswer: 5, 13, 18371741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4*p = -18, 8*r + p - 18 = 3*r. Suppose -21 = 18*l - r. Sort -2, -4, -33, l in increasing order.\nAnswer: -33, -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-three fifths of a decade?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqoo when four letters picked without replacement from {q: 2, o: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -4397000 to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/17, -77\/6, -4\/29627 in ascending order.\nAnswer: -77\/6, -4\/17, -4\/29627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {q: 2, g: 4, b: 1, j: 2, t: 2, o: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-9)\/g*g)**34\/(g**18\/g*g*g*g*g\/((g*g**(4\/3))\/g)*g*g))**(-29\/5) assuming g is positive.\nAnswer: g**(28507\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010001000100011 - 101001110111?\nAnswer: 1001011110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 282*x**2 + 5*x - 149*x**2 - 148*x**2 + (-5*x - 12 + 12)*(-4*x + x + x).\nAnswer: -5*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7465.4631ns?\nAnswer: 0.00000000207373975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 12 = -w, -10 - 10 = -5*m - w. Suppose 3 = -b, 2*d + m*b + 12 = -3*d. Is d > 2\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (42\/(-3010))\/(0 + 27\/(-15)) and 80\/33?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1670069527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 57749817 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/3)*((g**(6\/5)*g)\/g)\/g)**(-1\/11)\/((g*g\/(((g*g**(-2)*g)\/g)\/g))\/(g*g\/(g**7\/g*g))*g**(-3\/4)*g*g**(-2\/11)) assuming g is positive.\nAnswer: g**(-5977\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 3:59 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -4, 3 in descending order.\nAnswer: 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o**3 - 24*o + 44. What is the remainder when 153 is divided by s(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in 0, 0.3, 4\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 2*m + 120 - 30, -8*f + 330 = -2*m. Solve 0 = -f*z + 260 - 20 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.03, -32, 1 in increasing order.\nAnswer: -32, -5, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 260861370 rounded to the nearest 10000?\nAnswer: 260860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30*3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, t: 2, d: 11, v: 5}. Give prob of picking 1 a and 2 v.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -41113424333 - 23?\nAnswer: -41113424411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -j**5\/90 + 16*j**4\/27 - 31*j**3\/27 + 2448*j. Suppose y(a) = 0. Calculate a.\nAnswer: 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**2 + a**2 + a**2 + (3*a + 5*a - 5*a)*(22 + 17 + 5*a - 37) + 2*a**2 + a - a + (0*a + 0*a + 2*a)*(3*a + 0*a - 5*a).\nAnswer: 15*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 6*a + 5. Let n be r(-6). Solve -n*q - 14 = -4*g, 2*g = 2*q + q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 1, k: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 37, -4.\nAnswer: -4, 0, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -389\/5 + 15814\/205. Let a = g - -1281\/451. Let i(w) = -w - 3. Let t be i(-4). Is a greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -7 + s**2 + 3 + 1. What is the tens digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1958912 and 896?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of -v**3\/3 - 9*v**2\/2 + 9*v - 1. Suppose x + 2*i = -16, 25*i - 22 = x + 29*i. Calculate g(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from zzyfztf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7973 + 7.2035. Let o = 8 - q. What is o rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((-50)\/(-5) - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 314 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 3, 5, 0.01 in descending order.\nAnswer: 5, 3, 0.01, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (-1 + -1 + (0 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 721*b - 657. Is j(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -6. Let r be 3*k\/4 + -13. Is 13 a factor of (29 + r)*(2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {l: 2, g: 4, r: 6, j: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8*-87.9043\nAnswer: -703.2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 884 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(4 + sqrt(1425)\/sqrt(3)*1).\nAnswer: -5*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 78*w**3 - 2*w**2 - 5*w - 193. Suppose -5*b - 4*d - 10 = 7, -5*b - 11 = 2*d. Let i be v(b). Round i to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162106.2 days to seconds.\nAnswer: 14005975680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of f**2*l**3*z**2 - 15*f**2*l**3*z + f**2*l**3 - 3*f**2*l + 80*f**2*z**2 - 2*f*z wrt z.\nAnswer: 2*f**2*l**3 + 160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 30) + 8 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 7:32 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -560 - -559. Let p be -5 - (-9 - h) - -38. Solve -p*q = -44*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-8))\/(4\/(-24)). Suppose t*a = n - 76, n + 50 = -2*a + 1. Let h = a + 27. Solve -3*g + 10 = h*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 41*u**2 + 88*u + 633. Let x(y) = 65*y**2 + 132*y + 949. Let k(i) = -11*d(i) + 7*x(i). Factor k(f).\nAnswer: 4*(f - 16)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 11:23 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 15. Let j = 220 + -226.1. Let d = t - j. Are d and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of 1261*v**5\/30 + 2*v**2 + 98*v. Let c(x) = x. Calculate c(i(q)).\nAnswer: 2522*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 14.3. Let n = 1 + r. Let w = -13 + 9. What is the nearest to 0 in n, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f + 4. Let x(r) = -48*r - 4 - 48*r + 2 + 104*r. Let y(j) = 22*j - 6. Let s(w) = 8*x(w) - 3*y(w). What is -3*k(g) + 5*s(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 793556.9 micrograms in milligrams?\nAnswer: 793.5569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 831 divided by -4\nAnswer: -831\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 487665 is divided by 27088.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41518 + 61606. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t**2. Let c(i) = -4*i - 1. Calculate f(c(k)).\nAnswer: -48*k**2 - 24*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4169846807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104195*w**3 - 2*w + 7*w - 5*w.\nAnswer: 104195*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1125*z - 4*p = 1126*z + 42, 2*p + 62 = 12*z + 8*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 5*b - 9*b - 17 = 0, 0 = -5*f - 5*b - 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + -82 - -109 - (36 - 0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -98, -2876, -10490, -25358, -49898, -86528, -137666, -205730?\n\"Answer: -403*z**3 + 43*z + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-4))**(-33)\/(u*u*u\/(u*u*u**(-1\/2)*u))**(-2\/49))**(4\/15) assuming u is positive.\nAnswer: u**(-32336\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -n - 2*n. Let s = 17 + n. Solve r + 5 = p + p, -r + s = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9591.067 millilitres in litres?\nAnswer: 9.591067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 16. Find the third derivative of -3 + h + 24*j**2 - 8*j**6 - 32*j**2 wrt j.\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76 and 116394?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b**2\/2 + 1634*b + 3267\/2 = 0. What is b?\nAnswer: -3267, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-98)\/(-21) - (-1)\/3. Let p(w) be the first derivative of 7\/2*w**2 + 4\/5*w**r + 13\/4*w**4 + 5*w**3 + w + 2. Factor p(f).\nAnswer: (f + 1)**3*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/(-15))\/((-1)\/15). Suppose -5 - a = -c. Suppose 0*q - 2*q = -c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and 93989?\nAnswer: -65792.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y - 835242 = 1048068. What is y rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**4 + 1268*u**3 + 4*u**2 - 1268*u.\nAnswer: -4*u*(u - 317)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*sqrt(112)*-2 + 5 - (sqrt(112) + -5*(1 + sqrt(112))**2 + (sqrt(112) + -1 + sqrt(112) + -1)**2)).\nAnswer: 119 + 76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 227, 509, 791, 1073, 1355, 1637?\n\"Answer: 282*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 281 - -1219. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47 + -8 - (28 - 2) - 55\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 6 - 286 = 0. Suppose -2*b - 2*n + 164 = 48, -116 = -2*b + 5*n. Let s = b + l. Sort s, 19, 1, 4 in decreasing order.\nAnswer: 19, 4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + 0.1. Let l = -5 - -9. Let n = 0 + l. Which is the third biggest value?  (a) u  (b) n  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000008115 rounded to 7 dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n = -10*n - 96. Suppose -4*j = -4*m - n, -2*j + 5*j - 10 = -5*m. Solve 0 = -3*p - 2*p + j*x, -x = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -317*z + 745*z**2 + 317*z - 78*z**2 to d + t*z**2 + a*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 539531.\nAnswer: 439, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -6*o + 99. Let d be j(16). Solve 31 = -d*c + 34*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1755 and 1980?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 2640?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 1. Is (2 + i\/2)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*z + k, -z - k = z - 5. Let a be (z\/(-2))\/((-4)\/6*-3). Solve n + 4 = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 - 832*s - 836.\nAnswer: 4*(s - 209)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 42659629 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 6\/7477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-9569)\/2)\/((-532)\/152)?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 7*o. Let a(b) = 7*b. What is s(a(j))?\nAnswer: 49*j**2 + 49*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - s - 447 = 0, -2*k - 438 = -7*k + 4*s. Suppose -7*j - 2*j = -k. Suppose 0 = 12*g - j*g - 54. Calculate the remainder when 52 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1277 - 28065\/22. Suppose -u = 2*u - 2976. Let p = -7895\/8 + u. What is the common denominator of p and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**15*n\/(n**(-1\/7)*n))\/((n**14\/n)\/(n*n**(1\/4)*n)) assuming n is positive.\nAnswer: n**(123\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 319 times 0.0441\nAnswer: 14.0679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8481269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 76128 divided by -447\nAnswer: -25376\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 638 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/18 + (-6903)\/81. Let r = -767\/9 - t. Let y be (-4 - -1) + 3 + -2. What is the biggest value in y, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 + -9. Suppose -k*q + 16 = 4*o, 0 = -2*o + 3*o - 2*q + 2. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 85.95 + -86.17. What is the second biggest value in l, -10\/13, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -733, -2874, -6431, -11404, -17793, -25598, -34819?\nAnswer: -45456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -34 in 0.3, -0.22, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2. Let t = 4 + -3. Let x(i) = i. Suppose 2*q = -12 + 2. Let h(n) = 7*n. Let l(w) = q*x(w) + t*h(w). Determine l(d(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, i: 1, b: 4, p: 1, h: 2, g: 1}. Give prob of picking 2 i and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*q - 3*u = -41*q - 1, -q - 9 = 5*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -124 + 169. Suppose 0*x + x - 53 = -5*f, -x - 3*f + y = 0. Solve 5*l + 0*d - 4*d - 30 = 0, -5*d = -4*l + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 1, -9, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1689, -1513, -1215, -795, -253, 411, 1197?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 416585 divided by -377\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0  (b) 2\/3  (c) 1  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1305481 is divided by 416?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 6 - 4 + 4 - 3*u - 4. Let k(n) = 4*n - 4 + 3 - 2*n. Let q(m) = 5*k(m) + 3*v(m). What is the first derivative of q(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 + 287 - 612 + 284)*(-1 + 1 + 1 + 7 - 2 - 3 - 3 + 3 + 2 + (3 - 2 - 2)*(5 - 2 - 1) + 3 - 2 - 2 - 7 + 2 + 0).\nAnswer: -3*r**2 + 123","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let l = 9940 - 9905. Calculate the lowest common multiple of l and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 57*w - 44*w - 6240741. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5303452*q**6 + 1970*q**2 - 385?\nAnswer: -636414240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(270)\/(sqrt(10)*2 - sqrt(10)) - (sqrt(27)*1 + 1)) + (-3*sqrt(243) + sqrt(27))\/(sqrt(36)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 16*sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1101?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5 = -29. Suppose 735*w - 731*w - 26 = -2*s, 0 = -10*w + 40. What is the remainder when x is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -49*y**4\/12 - 4*y**3\/3 + 4*y**2. Let d be f(9). What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 i when four letters picked without replacement from ikekkckci?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3*r = -15. Suppose 3*d - r = 2*d. Let q be 5\/4*(d - -5). Solve 0 = -5*i - q - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-291)\/(-1358) - (-146)\/(-28). Put 15, q, 2, -4 in descending order.\nAnswer: 15, 2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9\/2*v**2 + 0 - 3\/2*v.\nAnswer: -3*v*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83 + -4. List the prime factors of t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -5*m**2\/3 - 865*m\/3 + 290 = 0.\nAnswer: -174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -506  (c) 1\/8  (d) 0.13  (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1080, 1\/4, 2\/97, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -152379*-0.0079.\nAnswer: 1203.7941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -119*p**2. Let h(u) = -9*u**2. What is g(h(m))?\nAnswer: -9639*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2393614 divided by -566?\nAnswer: 4229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-3 + 1*sqrt(1100))**2*-1 + -2).\nAnswer: -3333 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + a = 40, 38*a = -3*i + 41*a + 132. Calculate the remainder when 9\/(-6)*414\/(-3) is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -452 + 457. Put 24, o, 2 in decreasing order.\nAnswer: 24, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32 - -24?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*h + 26866 = 8581. Calculate the remainder when h is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -11 - (-3 + -1 + 2). Let m be (3\/c)\/((-2)\/30). Let y(s) = 4*s - 5. Is y(m) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1156 = 6*u - 3592. Let q = u - -1927. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {t: 9, n: 7, r: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -15, 0 = -b + 3*n + 12 + 7. Suppose 4*k + k = b*r - 125, 5*k = -3*r + 85. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by 32439.\nAnswer: 20\/32439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*q - 1195*v + 1190*v + 15 = 0, 12 = -3*q + 4*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 5:15 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((39\/(-52))\/(-1))\/(15\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17344510 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: Suppose -s + 6 - 1 = 0. Let a(z) = 2*z - 7. Let n be a(s). Suppose 18 = n*f - 3. Solve 3*o + f + 5 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = 200*t - 333 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1594 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 4. Calculate the lowest common multiple of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 2 = -z, -4*i = -4*z - 20. Let s(c) = -6*c + 201. Calculate the remainder when s(26) is divided by 1 + i\/(6\/46).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 234, 1706, 5642, 13254, 25754?\n\"Answer: 202*s**3 + 20*s**2 - 2*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/7*140280\/6012?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1138 by -37749.\nAnswer: -1138\/37749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 123\/22 + -1369\/176. What is the common denominator of (-3)\/(-5 + -19)*4\/10 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-11)\/5 + 2)\/(-1). Which is the closest to 0?  (a) -1  (b) t  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 116*a**5 - 4*a**2 - 15 wrt a.\nAnswer: 6960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 28\/5, -2\/11, 0.00978?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/10)\/((-6)\/(-60)). Let u = 7 + -3. Suppose u*m = 3*v - 13, 0*v + 2*v + 2*m = h. Solve -5*z = q, -2*z = 4*q + 21 - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 2*t + 4*t)*(-t**4 - 4*t**4 + 0*t**4).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y + 59504*y**2 - 59524*y**2 - 4*y.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1.9  (b) -291  (c) -2\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 30476, -4, 4, -5, -2, 0 in descending order.\nAnswer: 30476, 4, 0, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -69132*f + 21*f**2 - 26*f**2 + 68767*f to the form l*f**2 + k + a*f and give a.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5796\/(-90))\/((-4)\/10). Suppose 39*t - r = 32*t. What is the highest common factor of 69 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/2 - 947313*p + 897401919969\/2.\nAnswer: (p - 947313)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7.1, -3\/2, -0.5, 0.2?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*a**2 - 17*a**2 - 18*a**2 + 16*a**2 in the form s + c*a**2 + n*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15136 = -15*u + 58*u. What is the remainder when u is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 3*f - 89. Give t(16).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 457 = -5*d. What is the greatest common factor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 830 - 270. Suppose -7*f + 0*f = -x. What is the lowest common multiple of 16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -296, -995, -2368, -4643?\nAnswer: -8048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2541 a factor of 301273665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -206*h + 438. What is a(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13)\/((-3 - -4) + 0). Let p = 15 + x. Suppose -20 = -3*l + 5*o, -5*l = 5*o - p*o - 22. Solve n + 20 = l*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -28 - 6*t + 28 - 5*t + 3*t. Let u(p) = 25*p. Calculate a(u(d)).\nAnswer: -200*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40135 is divided by 2508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m = 9*m + 4. Let g be 5\/(50\/35651) - m\/20. Let s = g - 3576. Calculate the common denominator of s and 68\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-c + c + c)*((-3 + 4 - 3)*(-2 + 1 + 2) + 3 + 1 - 6) + 121*c + 128*c - 43*c)*(0*c + 0*c + 4*c).\nAnswer: 808*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 21*d + 44. Give i(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -340068, -680132, -1020196, -1360260?\n\"Answer: -340064*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)*-4*6.\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -11*d**3 - 8*d**2 + 8*d - 8. Let l(a) = 7*a**3 + 5*a**2 - 5*a + 5. Let x be (2\/(-4))\/(-5 - (-158)\/32). Calculate x*l(c) + 5*p(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 7*t**2 - 7*t - 3. Let a be d(8). Suppose -5*b - 72 = -2*b. Let h = -15 - b. Solve a*g + h = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of 5*l**4\/24 - 2*l**3\/3 - 3*l**2. Let f be c(4). Solve 2*x = -4*h - 0*x - f, -5*x + 20 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34286 or 34288?\nAnswer: 34286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of q**4\/4 - 4*q**3\/3 - 5*q**2\/2 + 6*q + 69. Determine d(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18.6 + 17246007787\nAnswer: 17246007768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -522*k = -493*k - 23548. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2896, -11584, -26062, -46330, -72388?\nAnswer: -104236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 342, 343, 344, 345, 346?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*w - 1187 + 275 = 2168 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 + f + 2. Let v(l) = -13*l**2 + 6*l + 12. Let h(w) = -6*t(w) + v(w). Let o(j) = 66*j - 2. What is o(h(n))?\nAnswer: -66*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n - 5. Suppose 0 = -w - 5*c + 30, 2*w - 3*c = -7 + 2. Suppose 0 = 5*h - 25 - w. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -8\/3, -4, 5?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 53*k**2*t**3 - 6*k**2*t**2 - 2*k**2*x - 15*k*t**3*x**2 + k*t**2*x**2 - k*x**2 - 4*k wrt t.\nAnswer: 318*k**2 - 90*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 61520 and 293198168?\nAnswer: 6152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.116 + -0.11599466. Round y to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -600*u**2 + 4*u + 957. Let k(d) = 1199*d**2 - 7*d - 1913. Let c(a) = -4*k(a) - 7*t(a). What is the derivative of c(i) wrt i?\nAnswer: -1192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 63\/42 - (-1126)\/(-10). Let u = i - -111. Let t = -3\/70 + u. Does 0 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -22*t**2 + t + 80. Let u(s) = -5*s**2 + 20. Give 2*h(m) - 9*u(m).\nAnswer: m**2 + 2*m - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4023594 - 4023510.99878. Let b = n - 83. Round b to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 305 + -1?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/27*-1)\/((-4)\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i + 14. Let t be h(7). What is the greatest common divisor of t and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/(-3*sqrt(7)) + -4.\nAnswer: -4 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -920, -1997, -3250, -4685, -6308, -8125?\n\"Answer: -l**3 - 82*l**2 - 824*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -4*y - 0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-13 - -5) + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 30947, 30946, 30945?\n\"Answer: -f + 30948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i**2 - 25*i**2 - 38*i**2 - 5*i**2.\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1549 + 1546. Which is the smallest value?  (a) 1\/5  (b) m  (c) 0.228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 8*a**2 - 5. Let q(x) = -x**2 + 1. Let n be 1*(2 + 21\/(-3)). Give n*q(k) - c(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 + 8*u**3 - 2 in the form a*u + v*u**3 + w*u**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6 - ((-4)\/(-4) + 6))*-169. Let z = -679\/4 + p. Which is the second biggest value?  (a) z  (b) 0.03  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.18 times -0.224\nAnswer: -0.26432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 464 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -5. Suppose -7*q = -t*q - 6. Let l = -2 + q. Which is smaller: l or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3084*f + 3085*f + 3080*f + 3080*f - 12337*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -63*k**2. Let g(t) = t - 2. Let f(x) = 2. Let i(z) = -f(z) - g(z). Calculate i(s(c)).\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**5\/2 + 3*i**4 + 11*i**3\/2 + 3*i**2.\nAnswer: i**2*(i + 1)*(i + 2)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 117 and 3850379?\nAnswer: 34653411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-5)\/((-35)\/666) + (-5)\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.62 and 32429?\nAnswer: 20105.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 9*k - 11. Let j be x(10). Let s be (8 + -3)*j*-1. Suppose 879 + 567 = 4*w - d, 1811 = s*w - 3*d. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/((-2)\/15*220\/(-1584))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((-22)\/2 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49 + 104. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*r**3 - 26858*r**2 + 442319.\nAnswer: -6*r**2 - 53716*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -x**4\/12 + 11*x**3\/6 + 13*x**2. Let s(o) = 8*o**2. What is s(r(a))?\nAnswer: 32*a**2 - 352*a + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 116242223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(((-4)\/1)\/(4\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1485876, -1485891, -1485914, -1485945?\nAnswer: -1485984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -i**2 - i + 1. Let h be w(-5). Let s = -2 + h. Solve -v + s = 3*t, 0*v - 2*t + 3 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 58909\/33129 + -13\/33129. Solve b - 20\/9*w**5 - 68\/9*w**4 + 64\/9*w - 44\/9*w**3 + 52\/9*w**2 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -63.2.\nAnswer: 12.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n**3 + 92*n**2 + 88*n**2 - 180*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/152 and 73\/1072.\nAnswer: 20368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -82.3 - -82. Which is the biggest value?  (a) -0.1  (b) 2\/5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = k - 0*k. Let n(p) = 3*p**2 + 7*p + 3. Let d be n(k). What is the highest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12167761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002533294 rounded to six decimal places?\nAnswer: -0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.055 - 1.515. Round b to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(117) - -5*(sqrt(117)*3 + sqrt(117))) + -2*(sqrt(117) + -1*sqrt(117) + sqrt(117)))\/((sqrt(4374) + sqrt(4374)*-2)\/(sqrt(6) + 2*sqrt(864))))**2.\nAnswer: 2933125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/8*4\/(-30)*180\/(-44)?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 3*u - 71. Suppose 0 = 2*n + 5*o - o - 80, -o + u = n. Suppose -n = -j + 2. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(432))**2*-1.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 187*q**2 + 3 - 97*q**2 - 1 - 153*q**2 in the form d*q**2 + i*q + b and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 37, -23, 6 in descending order.\nAnswer: 37, 6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sqv when three letters picked without replacement from llvvvqlcvvhs?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 3*k + k - 1440, 2*k + 354 = b. Suppose -4*u - 42 = b. Let a = -56 - u. Calculate the greatest common factor of 110 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of a**3\/3 + a**2\/2 - 8*a + 7. Let u be s(-4). Solve -u*o = 18 - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 10, z: 1, e: 1, g: 4, b: 2}. Give prob of sequence gbzh.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1232 or 3694\/3?\nAnswer: 3694\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 5:17 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 6*x - 9. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -519892449515.00000075 - -519892811049. Let a = u - 361535. Let k = 1 + a. Round k to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 60 - 26. Suppose w = 2*c + 2. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/20  (b) -57  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-50.71.\nAnswer: -25.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -66 + 464\/7. Let i = 5.07 + -0.07. Let d be 14\/(-8) + 6\/(-24). What is the nearest to 0 in d, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3, 122, 3, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000049655876 to 7 decimal places.\nAnswer: -0.0000497","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 3*i - 21, f + 5*i + 21 = 3*f. Let z(d) = 11*d**2 + f + 8*d**2 - 2. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -122 - -173. Let f = -25 + p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -20  (b) 0  (c) -18  (d) -4  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.32 to 1 dp.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 579 = 791. Let k = o - -400. What is k rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1431480, 1431503, 1431526, 1431549, 1431572?\nAnswer: 1431595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 4*f**2 - 4*f + 6. Let u be a(4). Let p = -2 - u. What is the remainder when 29 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 4*n + 1067 = -n, -5*x - 4*n + 1071 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 245766*s**4 + 2*s**3 + 116233*s**2 - 2*s wrt s?\nAnswer: 5898384*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.34 - -0.14. What is the second biggest value in z, -1\/2, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*n + 2128 + 832. Suppose -n*m = -184*m - 28363. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/3690 and -121\/30.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 158 and 134.\nAnswer: 10586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 163023 divided by 3.\nAnswer: 54341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 7:00 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -531726 (base 11) in base 5?\nAnswer: -204221014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/3, -4, 3\/68?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 91 times 22\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3029071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*u = 52, 2*z - 6*u = -2*u + 16. What is the third derivative of 5*w**4 + 2*w**3 + 89*w - 2*w**2 - z*w**4 - 10*w**4 - 39*w**4 wrt w?\nAnswer: -1344*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u**2 - 17*u**2 + 25*u**2. Let z(a) = -a**3 + a**2 - a - 1. Let g be z(-1). Let j(c) = c**g + 0*c**2 + 0*c**2. Determine l(j(y)).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/(-36) + 218\/8. Let i be 25\/9 - (-6)\/u. Suppose 2*r + i = -r. Let g(t) = -5*t**3 - 2*t**2 - t. What is g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*f**3 + 8*f**3 + 9*f**3 + 6*f**3 + 4*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 9*n + 275. Determine t(-49).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**4 - 80*u**3 + 275*u**2 - 190*u.\nAnswer: -5*u*(u - 2)*(u - 1)*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + 23*a - 27*a - 3, 0 = 4*a - 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2408 - -3?\nAnswer: 240b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 + 131. Let f = j - 67.99999786. Round f to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8039.902 - 8080. Let r = 0.098 + n. Let t = 39.999868 + r. Round t to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 827459831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 409694807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -6, 21, 60?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4694, -2\/237, 3\/5, 5\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 167 and 8183?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385*u = 291*u + 1034 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 4 - 1)*(-s**2 + s**2 - 2*s**3) + (1 - 1 + 2*s)*(0*s**2 + s**2 + s**2) in the form m*s**3 + n + c*s**2 + z*s and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 3*j + 3, -5*l + 10 = -4*l + 2*j. Suppose 20 = l*m, -m + 93091 - 13859 = 3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 950\/(-24 + -1) + 113?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/6*(-1 + 35\/(-10)). What is the closest to 1 in -5, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6 + 0*d - 5 - d + 3*d. Suppose -12*b - 6 = 18. Let w be b*1*((-2)\/(-1))\/(-4). Give t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 363*x**3\/5 - 594*x**2\/5 - 252*x\/5 - 24\/5 = 0?\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**2\/5 + 209*r\/5 - 258 = 0. Calculate r.\nAnswer: -215, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - -2c59a0?\nAnswer: 2c59a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 510.02136 nanoseconds in hours?\nAnswer: 0.0000000001416726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*q**2*w**2 - 274*q**2*w + 5*q**2 + 81030*q*w**2 + q*w wrt q.\nAnswer: 16*w**2 - 548*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 4*w + 48. Suppose -4*g + n + 48 = 5*n, 5*g - n - w = 0. What is the remainder when 16 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**2 - 2*m + 3. Let r(u) = -u + 2*u - 6*u + u**2 + 6. Suppose -4*p - 2 = -2*q + 2, -12 = -2*q - 4*p. Let f be r(q). Give a(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 581 = -k + 568, -2*k + 0*k = 2*a + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/25432 and 97\/44506000.\nAnswer: 44506000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3664153326 divided by 6?\nAnswer: -610692221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1750 - (-8)\/(13 + -15). Calculate the highest common divisor of 90 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 5*y - 0 + 19, 5*y + 23 = -m. Let o be 25\/3 - (-1)\/(-3). Let x be 2\/o - 105\/(-28). Put -3, x, m in increasing order.\nAnswer: -3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 39, 4, 687, -1, -167 in descending order.\nAnswer: 687, 39, 4, 0, -1, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sups when four letters picked without replacement from uuuuusuussssuspuuuu.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*o - 32*o**2 - 2*o + 33*o**2 to the form i*o + d*o**2 + x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -13*m**2. Let s(g) be the first derivative of -8 + 1\/2*g**2 + 0*g. Determine s(v(j)).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**3 + 10*d**2 + 6*d + 4. Suppose -15*a = 50 + 10. Let k be h(a). Calculate the highest common divisor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t = 14*t + 6. What is the units digit of t\/(-12)*-2*-1118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2 = 4. Suppose d*f + 4 = -2*k, f - 12 = k + 4*f. What is the remainder when 7 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + 117321?\nAnswer: 117331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -93951  (c) -0.2  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*s**3 - 2877*s**2 + 2877*s**2.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -44 - -38. Let z be 330\/d - (-2)\/(-1). Let l be -3 - (-1)\/((-3)\/z). Solve -5*u = 20, -5*m - u + l = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2669, 11167, 25333, 45173, 70693, 101899, 138797, 181393?\nAnswer: 229693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**5\/4 - 10435*g**4\/4 - 2719515*g**3\/2 + 1472040*g**2 + 57221640*g = 0.\nAnswer: -1044, -6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9977.928t?\nAnswer: 9977928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1171 + 2930. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1333, -1330, -1331, -1336, -1345?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3\/5 + (-3 - 110\/(-25)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a6 - 2?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 172 and 1338934.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y + 21*y = 16, 0 = k + 5*y - 461. Let r = -477 + k. Which is the closest to 0.1?  (a) r  (b) 2  (c) 0.5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -5.85. Let o = m - -0.22. Let a = 4.07 - o. Sort 3, -1\/7, a in ascending order.\nAnswer: -1\/7, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(5929))\/(sqrt(63)*6).\nAnswer: -11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123 divided by 3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 404230 (base 5) to base 7.\nAnswer: 53043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2\/9 - 14008*n\/3 + 12264004.\nAnswer: 4*(n - 5253)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 6*c. Let d(l) = -17*l + 4. Let g(z) = 8*z - 2. Let s(x) = d(x) + 2*g(x). Calculate -42*s(m) - 6*t(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.036 plus 0.236?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 4*v + 46. Let m be s(-11). Solve -7 = 5*c - m*t, 3*c = 4*c - 4*t + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -37*o + 43. Let q be s(-5). Let p = q + -224. Sort -5, -28, -1, p.\nAnswer: -28, -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/18 - 407\/(-5106).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 631008 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 14 = n, 3*j + 22 = 3*n - 32. What is the remainder when 101 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -15, u + 90 = 6*u + 4*v. Let c = 4 + u. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8349?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1957660 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 10 - 4*t - 2*t - 115 + 2*t.\nAnswer: -6*t - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2699.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 25 + -24 + 3\/(9\/(-6)). Let j(y) = -y**3 + y**2 + 4*y + 2. Let u be j(i). Solve 6*x + 13 - 37 = u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/11067 and 1\/255.\nAnswer: 55335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 - -27?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 - 25*n - 10. List the prime factors of f(-9).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 7:14 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -363040 and 5?\nAnswer: -1815200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3672708 by -338.\nAnswer: 10866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 3 = -4*t - b, b - 6 = 2*t. Calculate the remainder when t - (-5 + 3 - 80) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/sqrt(40) + -1 + sqrt(7) + -1.\nAnswer: -2 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1001 and 702793.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 21*p + 49. Let k be b(11). Suppose k + 414 = 2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10d08 - -12?\nAnswer: 10d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 9238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (-2 - 0 - -1 - -9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158144 is divided by 549?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 13 - 10*b + 14 - 48*b + 29*b.\nAnswer: -29*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(2\/15)*(i*i**(-1\/31))\/i assuming i is positive.\nAnswer: i**(512\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + 133 - 4)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6ad + -1?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 58 + -10 - 16 - -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-26 - 50 + 76 + 19092*i)*(-1 + 0 + 4) in the form q*i + n and give q.\nAnswer: 57276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 53 + -163\/3. Let q be (-1)\/(-2)*-1*-14. Let f = q + -12. Which is the third smallest value?  (a) f  (b) u  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4945 is divided by 2378?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3417 divided by 67?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*q + 0*q = 12, -q + 7 = a. Suppose -2 = 2*i - 22. Let d(k) = 3 - 4*k - i*k**2 - k**3 + 3*k**a + 5. Calculate d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.956261 + 12.962. What is c rounded to 4 decimal places?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.8069708 millilitres?\nAnswer: 0.0008069708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and 14932.\nAnswer: 14935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 65\/10 - 3\/2. Suppose 0 = p*l + 22 - 82. Suppose l = 4*c, -z + 3 = c + c. Let b(r) = -2*r - 1. Give b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.5 + 6.5. Which is the biggest value?  (a) -0.4  (b) v  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 12, 24, 40, 60, 84, 112, 144?\n\"Answer: 2*k**2 + 6*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16625040 and 21624?\nAnswer: 282625680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 345  (b) 2\/189  (c) -0.4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (50301\/1215)\/(3\/610).\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*4\/(-8) - 4. Let d = p - -17. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -2 + (5 - (5 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005251054 to 6 dps.\nAnswer: -0.000525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64 + 1332. Suppose -5*n + 597 = -y. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 6. Suppose -39 = -y + v, -4*y + 195 = y - x*v. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2. Let n(q) = 861388*q**2. Calculate d(n(b)).\nAnswer: -741989286544*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 72\/5, 2, -1\/3 in decreasing order.\nAnswer: 72\/5, 2, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -8684984 divided by 394772\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1050 (base 6) in base 16?\nAnswer: -f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bea when three letters picked without replacement from {b: 4, e: 2, a: 10}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43086276.\nAnswer: 2, 3, 223, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55 + 55.068. What is c rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 362070, 362073, 362076, 362079, 362082, 362085?\n\"Answer: 3*i + 362067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 94842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/28*2*-8*(-1)\/(-8)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8204 divided by -794?\nAnswer: 4102\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - 285698?\nAnswer: -285696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*u = 80*u - 3397. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - t. Let y be m(1). Let i be (10\/(-24))\/5*y. Which is the biggest value?  (a) i  (b) 0  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -3*t**2\/5 - 18141*t\/5 + 108954\/5 = 0.\nAnswer: -6053, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.56 and -60473382.\nAnswer: -60473384.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of c**4\/4 - 2*c**3 + 3*c**2\/2 - 6*c - 844. Let j = 10 - 6. Let l = j + 2. Determine n(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 6*q**3 - 38*q**2 + 35*q + 83. Give x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 5*r + 13. Let h(d) be the third derivative of d**5\/20 + 4*d**3\/3 + 59*d**2. List the prime factors of h(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*2 + 1\/((-7)\/(-126)). Find the first derivative of 153*n**4 + 32*n**4 - 26 + c - 35 - 42 wrt n.\nAnswer: 740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011220 (base 3) in base 16?\nAnswer: -35d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 113400264 to the nearest integer?\nAnswer: 10649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m = 4*k - 4*m - 18, -2*k + 19 = 3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74 - 73.49. Let z = x + -0.551. Round z to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2. Let k(c) = 208*c. Give k(j(n)).\nAnswer: 208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -0.1, 4, 210, -0.0867?\nAnswer: -0.0867","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 9*t - 12. Calculate s(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 795 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - z - 1. What is y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*d**2 - 24*d**2 + 17*d**2 + d**3)*(3*d + 0*d - 5*d).\nAnswer: -2*d**4 + 98*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*k = 84*k - 660. Let r = k - -96. Let i(m) = -25*m**3 - 13*m**2 + 6*m + 32. Let q be i(r). Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161178307?\nAnswer: 71, 2270117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(285)*1)\/(sqrt(5) + -2*sqrt(605)))\/((sqrt(15)\/(sqrt(15)\/sqrt(3)) + sqrt(3))*5*3).\nAnswer: -sqrt(19)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + (1*4*-4*(sqrt(1216)*-1 + sqrt(1216)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*f*j*t - 2*f*k**2*t**3 - 2*f*k**2*t**2 - 45*f*k*t**3 + j*k**2*t + j*k*t**3 wrt j?\nAnswer: 6*f*t + k**2*t + k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18571996?\nAnswer: 2, 4642999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.0084 - -0.9584. Sort -5, -0.5, -3\/8, 5, a in increasing order.\nAnswer: -5, -0.5, -3\/8, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -670536?\nAnswer: 670531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16709.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 119550 and 9350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2856 and 1224.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -259*b + 257*b - u, -4*b = -7*u - 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 11240 = -2*b - 3*b, -4 = -2*l. Let p be b\/(-120) - 10\/(-8). Solve 5*t = 3*n + p, 0 = t + 2*t + 3*n + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/7))**(-2) assuming u is positive.\nAnswer: u**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11000, -21864, -32728, -43592, -54456, -65320?\n\"Answer: -10864*a - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -448229?\nAnswer: -3137603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -770 - -769 - 17\/(-9).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + 2 - 1)*4. Suppose 0*i + s = 2*i. Factor 2*h**2 - 3*h**2 + h + 3*h**i + h**3.\nAnswer: h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1191500 divided by -4766.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -1, 1721, 5\/2 in decreasing order.\nAnswer: 1721, 10, 5\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -359 and -57191.17.\nAnswer: -57550.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 131, 132, 135, 140, 147, 156?\n\"Answer: l**2 - 2*l + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((48\/(-312))\/(7\/(-13)))\/((-19)\/(399\/90)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 7)*((2*c + 3*c - 7*c)*(-2 + 3 + 1) + 7*c + 2*c - 52*c) - 3*c - c + 5*c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -6340000 to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 119 = t - p, 4*t + 176 = -3*p. Suppose -a - 43 = 2*n - 136, -2*n + a = -99. What is the common denominator of n and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (116 + 291 - 89)*(9*i + 3*i - 32*i) as t + l*i and give l.\nAnswer: -6360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-5\/2))\/j)\/j*j**32*j*(j\/(j*j\/((j\/(j*j**(-25)*j))\/j)*j))\/(j*j**13*j) assuming j is positive.\nAnswer: j**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.15, -4, -0.5.\nAnswer: -4, -0.5, 0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (97 - 544 - 713 + 85)*(u**4 + 2*u**3 - 2*u**3).\nAnswer: -1075*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -256 - -260. What is the smallest value in -4, x, -19.7?\nAnswer: -19.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 - -86. Suppose -w = -4*w + d. Solve -2*x - w = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93930.06 times 0.054\nAnswer: 5072.22324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1155585 is divided by 288886?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v**2 - 2. Give u(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {n: 5, h: 1, i: 1, x: 1, d: 5, z: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.015 + -4.985. Which is the biggest value?  (a) 0.1  (b) 1\/6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14, 1, -598.1, -1\/10?\nAnswer: -598.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -485761600*r**4 - 7285454240*r**3 - 6786116484*r**2 + 13569380*r - 6776 = 0 for r.\nAnswer: -14, -1, 11\/11020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -311 - 4?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 - 1\/2*-2. Let b be 48 - (26 - 13 - -31). Sort 3, b, a, 2 in increasing order.\nAnswer: a, 2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in -1\/35, 5, 3?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + 0 - (36 - 35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.4155277 * 0.4.\nAnswer: 2.96621108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54 and 6453?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11\/48 + 115\/336. Which is the closest to -0.1?  (a) 10\/3  (b) 0.4  (c) 0.5  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 538272 divided by 4\nAnswer: 134568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8141017?\nAnswer: 103, 79039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + w - 132, -2*j + 61 = -2*w + 5. Suppose 2*l = -q + 2*q + 10, 4*q = -4*l + j. Let u be ((-64)\/l)\/4*36750. Round u to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4099, 4227, 4355?\n\"Answer: 128*i + 3971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -62*l**3 - 6*l**2 + 4*l - 28. Let g(r) = 2*r**3 + r**2 - r + 4. Calculate 6*g(x) + k(x).\nAnswer: -50*x**3 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 6*s**2 - 4*s + 1. Let a be c(5). Let w = 0 - a. What is the units digit of (-2 + -4)\/(4\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -8 + (226 + -224 - (-1 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23558701631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 915*k**2 - 1810*k**2 - 20135*k**2.\nAnswer: -21030*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -2423541044?\nAnswer: -2423541045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + l = 0, -f + 5*l = -19 - 5. Suppose -3 = 3*v - 9. Suppose -v*c + 25 = 3*c. Solve -f*g - 14 = z - c, -4*z = 3*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 6. Let h be -4 - (3 - 10\/2 - 2). Let l be (-4 + h - 0) + 5\/1. Let v(o) = -2. Let t(p) = -1. Let n(b) = -5*t(b) + 2*v(b). What is l*u(m) - 3*n(m)?\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - 0 - (-1 + -6). Suppose 3*x - 3206 = -5*p, 5*p - 2*x - 3*x = 3190. Suppose -18*w + p = -8*w. Calculate the greatest common factor of j and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*a**2*l**2 + 9*a**2*w - 3*a*l**2 - a*l + 6099*w wrt a.\nAnswer: -44*l**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2. Let y(f) = 1567*f. Calculate y(n(o)).\nAnswer: -1567*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(25\/(-2)))\/(546\/2730)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/3))**(2\/11)*(l*((l\/(l\/(l**(-1)*l)*l))\/l)\/l*l*l)**(-49))\/(((l*l**5*l)\/l)\/(l\/(((l*l*l**(-2\/15)*l)\/l)\/l)))**(-30) assuming l is positive.\nAnswer: l**(5810\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 218*s**5 + 22*s**3 - 51103*s**2?\nAnswer: 13080*s**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125322558.\nAnswer: 2, 3, 331, 63103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 5*d**2 - 295*d - 4417. Give a(-14).\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 8*j**2 - 4495. Let o(f) = 443*f. Give b(o(u)).\nAnswer: 1569992*u**2 - 4495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*j + 14 = 0, -13*f - 15 = 2*j - 1. Solve 5*k + 4*q + 25 = 0, 98*k - 97*k + q + 6 = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -14*s. Let a(y) = 9*y. Let f(w) = -2*w**3 - 7*w + 3*w**3 - 7*w**2 + 16 - 26 + 4*w**2. Let l be f(5). Calculate l*m(i) + 8*a(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 513397673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1121 (base 3) to base 14\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 0. Let k = 3 - 1. Suppose 4*j = k*j + 2. What is the nearest to j in f, 0, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/6 + 165\/9. Suppose -5*w + f - 3 = 0. Solve 3*z - w = -2*u, -2*z - 4*u + 0*u = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 2. Suppose -v*q = -2*q + 5. Let n be (-113000015)\/q - (1 - -2). What is n rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 4*f + 10876, -3*b + 8*b = -5*f + 13545. Suppose 17*n - 40*n = -b. Calculate the remainder when n is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 37, -2.\nAnswer: -2, 0.3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 192 (base 10) in base 13?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7*v**3 + 71*v**2 - 13*v - 15. Does 6 divide f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, n: 2, u: 7}. Give prob of picking 1 y and 3 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1073 and 34151?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 181 + 133 = -4*v, -50 = 5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 7357 = 4*l, 7339 = 6*l - 2*l - 3*k. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.06 and -23?\nAnswer: 22.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -56 + 44. Let l = 15.9 + s. Let w = l + -2.5. Round w to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*s - 7 = -21*s - 5*o, 2*o - 14 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 24*p**2 - 21*p - 89. Calculate j(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14 - 102*t - 7 - 151*t + 441*t**2 - 7 wrt t.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587516503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 120 - 127. Let j = c + 17.2. Round j to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**3 + 4*j**3 - 2*j**3 + (-j**3 + j**3 + 2*j**3)*(-4 + 5 - 3) + j**3 - 5*j**2 + 5*j**2 + (0 + 0 - 2*j)*(j**2 - 2*j**2 - j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(1\/4))**(-37)*(t**(-1\/5)*t)\/(t*t\/t**(-6\/7)) assuming t is positive.\nAnswer: t**(-11943\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-21 - 192)*(1 - 2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from awawwwwwawawwaww.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.01  (b) -44  (c) -0.4  (d) -2  (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 171747939 and 12366?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 0 - 14*r + 0*r**5 + 0*r**4 + 8\/15*r**6 - 14\/3*r**3 + 0*r**2. What is the second derivative of x(g) wrt g?\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-30))\/((-33)\/(-495))*5\/(-60).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -13. Suppose p*r + 10 = -3*t, -t - 2*t + 40 = -5*r. Solve 15 + 5 = -t*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 55, 112, 169?\n\"Answer: 57*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 0.016\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17 - -8)*4\/6. Let k = -12 + a. Does k = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -4 - 4\/21*l**3 - 16384\/7*l - 256\/7*l**2. Solve y(p) = 0 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 322.4132 centuries?\nAnswer: 32241.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.8062 in 139, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.528 times 507228\nAnswer: 267816.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -101, -218, -335, -452, -569?\n\"Answer: -117*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of 0*o**6 + 0*o**3 + 0*o**4 - 2 + 0*o**7 - 7\/6*o**5 + 0*o - 113\/168*o**8 + 3*o**2. Find the third derivative of l(w) wrt w.\nAnswer: -13560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - -18 - (0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + h - 181*h - 458*h + 63*h + h + 0*h - 3*h - h - h + 3*h + (h + 2*h - 5*h)*(1 - 1 + 1) - 2 - 2*h + 2.\nAnswer: -580*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*w = -0*w - 2165184. What are the prime factors of w?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -111*f**3 + f**2. Suppose 4*s + 1 + 3 = 0. Let h be b(s). What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -340 + 662 = 3*v + 283 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13066016 + -5?\nAnswer: 13066011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 37 = a, 0 = -278*h + 277*h + 2*a - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence esy when three letters picked without replacement from eeeyyssfeysseyssesy.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 282, -2, -0.08, 5 in descending order.\nAnswer: 282, 5, -0.08, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38.4 + 46. What is u rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - k - 1. Let y = -30 - -31. Let f(i) = -20*i**2 - i + 14. Let h(t) = y*v(t) - f(t). Find the first derivative of h(o) wrt o.\nAnswer: 38*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-14)*x)\/x)**(26\/7)\/((x**(-10\/9)*x)\/(x\/(x**(1\/28)\/x))) assuming x is positive.\nAnswer: x**(-11645\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*u + 287 = -109. Which is smaller: 24 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 18, 49, 92, 147, 214?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 8*p - 12. Let q be t(3). Let s(w) = w**3 - 11*w**2 - 14*w + 27. Let c be s(q). What is the third smallest value in -0.12, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5736082150.\nAnswer: 2, 5, 114721643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2002255 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, t: 4}. What is prob of picking 2 t and 1 o?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (3*sqrt(1836)\/sqrt(3))**2 - (sqrt(153)*-3 + (sqrt(85)*2 + sqrt(85) - sqrt(85))\/sqrt(5))) + -4.\nAnswer: 7*sqrt(17) + 5507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148 - 154. Let b be 21\/i*(165 + 1). What is b rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6 + 3 + 8 + -3. Suppose s - 9 = 3*d, 15 = -5*d - n*s + s. Let k = -3 + -2. What is the biggest value in k, d, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/6)\/u**13)**(-22) assuming u is positive.\nAnswer: u**(847\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 6:39 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.59 + -6.52. Which is the biggest value?  (a) -1.3  (b) p  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -8. Let y = 7 - 7.1. Put 5, w, y in descending order.\nAnswer: 5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5010 - -11?\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 - 6*z. Let c(h) = -633*h + 2. Determine t(c(d)).\nAnswer: 801378*d**2 - 1266*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 378\/13 - 2542\/91. Let -2\/7*g**2 + 8\/7*g - t = 0. Calculate g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 + 43. Find the second derivative of -9*b - t + 23 + 21*b**2 - 7 wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25.7975 centuries?\nAnswer: 30957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 383970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*n = -137*n - 7*q + 19, -4*n - 17 = -q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19895 + -11653. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 281, 4, 5, -0.4, -4, 2\/9, -9.2?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -10.2. Let b = -1076490.1999935 + 1076489. Let t = u + b. What is t rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44043*k**2 - 88511*k**2 + 43821*k**2 + 0 + 0.\nAnswer: -647*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4599816 divided by -299\nAnswer: -15384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -33, -38, -45, -54, -65, -78?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*q - 2692 = 125*q + 4148 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/6)\/(10\/120). Suppose x + v = 5*x. Suppose -x*q + 145 = 35. What is the highest common factor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2421 and -42.\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 8:39 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -8. Let x be 4\/g*(-21)\/14. Solve -4*d = -5*o + 18, 4*o - 2 - 2 = -x*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*r, 0*o - 3 = 3*o + 3*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n - n + 0*n)*(-3 + 3 + 2*n) - 474*n**2 + 235*n**2 + 244*n**2 as g + x*n + c*n**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*w + 271 + 93 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111122222210 + 111?\nAnswer: -111122222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2440, 4805, 7090, 9295?\nAnswer: 11420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/235 - 476\/705. Let t = -65 + 69. Which is the closest to 0?  (a) u  (b) t  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 25 = -8*x + 3*x, 11 = -2*y - 3*x. Let h = 11 + y. Which is the third smallest value?  (a) -4  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/1*((-5)\/10 - 0). Solve -n - 3 + 8 = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 204 - 125. Let x = k - 239\/3. What is the nearest to 1\/2 in 1\/7, -1, x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7578\/5 + -1614. Let i = a - -98. Let v = -18 - -16. What is the fourth biggest value in v, i, 2\/7, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10265 - 10343 = 3*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*d + 39*d - 95920. Suppose 2*g = -4*t + d, g + 1299 = 5*t - 881. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**4 + 441*k**3 - 53489*k**2 + 534459*k + 104638590 = 0.\nAnswer: -35, 74, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34429 + 34428.9999955539. What is j rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 0 + 1 - 3 + 0 + (-1 + 1 - 2)*(-3 + 3 + 1) + 0 - 2 + 0 + 1 - 2 + 0 + 3 + 4 - 5)*(0 - 2*j + 0) + 3*j + j - 3*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89895.94t to micrograms.\nAnswer: 89895940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6.319269 centimeters?\nAnswer: 63192.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 15. Which is the closest to 0.1?  (a) 1\/3  (b) -2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50 + (0 - -2) + -25 + (30 - (13 - 2))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 10:27 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 5*w**4\/12 + w**3\/2 - 153*w. Let v(g) = -11*g**2 - 6*g. Give 7*u(h) + 3*v(h).\nAnswer: 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 8:28 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -89*c**3 - 184*c wrt c.\nAnswer: -534*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 592, 269, -2\/11, -48?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 3) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirteen eighths of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12012 and 29744?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10525660 (base 7) to base 15\nAnswer: -130e21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zirr when four letters picked without replacement from irzrrrrzrrrzrz.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -24*x**2 + 6*x - x**3 + 7*x**2 + 41 - 23 - 22*x - 14. What is the lowest common multiple of 347 and l(-16)?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 3*z - 580*h + 579*h, -16 = z + 4*h for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = j + 6. Suppose -d - j*x = 0, 3 = -2*d - 5*x + 1. Suppose 535*r - 64 = 527*r. Solve 0 = -d*k - 0 + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - 9)*2\/(-5). Suppose -2*h + 1 = m*u - 3, 4*h + 2*u - 10 = 0. Suppose 4*z - h*d - 94 = 2*d, -5*d = 10. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -89*n**3 + n**2 - n - 1. Let p be f(-1). Is 6 a factor of 1632\/p - 4\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 460\/120453 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**5\/2 - 169*s**4 - 3283*s**3\/2 - 429*s**2 + 20664*s = 0.\nAnswer: -328, -7, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199841?\nAnswer: 337, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/6*9)\/2. Suppose o*a - a = 10. Suppose 0 = -3*r - 9, 3*c - 9 = -0*c + a*r. Let n(s) = s**3 - 5*s**2 - s. Let l(j) = j**2. Calculate c*n(b) + 5*l(b).\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1340376 and 14?\nAnswer: 9382632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oulvopvpgupupu. What is prob of picking 1 v and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -1. Let k be ((-2)\/5)\/(i\/(-25)). Let t(r) = -r**3 + 2*r**2 + r - 1. Calculate the remainder when t(k) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6579?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/666439351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1272743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 916837, 1833674, 2750511?\n\"Answer: 916837*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 78.9638 micrograms?\nAnswer: 0.0000000000789638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/4  (b) -0.11  (c) 2  (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 160677*s**2. Let t(j) = 16*j. Calculate t(p(h)).\nAnswer: 2570832*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*a**3 + 0 - 76\/7*a + 34\/7*a**2.\nAnswer: 2*a*(a - 2)*(a + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15.4 + 10. Let u = a + 5.215. What is u rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1541 - 0.0541. Let k be ((4\/(-21))\/2)\/(4\/(-7)). What is the closest to 2\/5 in l, k, -0.4, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1252 + 1393. Suppose -3*m - 25 = 134. Let t = m + d. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-40 + 40 - 44*b)*(1 + 0 + 2)*(5 - 4 - 2)*(1 - 1 + 1) as j + o*b and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 18*r**2 - 3*r + 5. Let v(k) = -k**3 - k**2 + 1. Let y(b) = -t(b) + 2*v(b). What is the units digit of y(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {k: 1, n: 3, u: 2, y: 4, m: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22 - 119 + 101*b**3 - 1391*b**2 + 1390*b**2 with respect to b.\nAnswer: 303*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.228 - 0.109. Let d = -0.1190004 + g. Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 950962409 and 346.8?\nAnswer: 950962062.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -813?\nAnswer: -4\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away -0.04038?\nAnswer: 0.24038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 (base 6) in base 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21742*k**2 + 2*k + 141760 with respect to k.\nAnswer: 43484*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 135978300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2495\/7 + -357. Which is the second biggest value?  (a) 2  (b) 4\/13  (c) v  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 7*c - 32 = 0. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -10*u**2 + 1. Let p(w) = 40*w**2 - 3. Let k(h) = 2*p(h) + 9*r(h). Find the first derivative of k(s) wrt s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 412294 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l - l = 0. Let b be l*5*9\/(-45). Solve b = -3*n - 2*n + 15, o + 8 = 2*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2822, -12593, -28876, -51671, -80978, -116797?\nAnswer: -159128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**2 - 4*d - 11 + 11 + (-4 - 3 + 2)*(-6*d**2 + 2*d**2 + 3*d**2)*(-2 + 0 + 5).\nAnswer: 17*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s**3 + 8*s**2 + 2*s + 3. Let i(c) = 7*c**3 + 15*c**2 + 4*c + 7. Let w(t) = 3*i(t) - 5*r(t). Let z be (2\/1)\/((-4)\/10). Calculate w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*d = -44*d - 105*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 4*s. Let x(g) = -8*g - 17*g**2 - 8 + 7*g + 16*g**2 + g**3. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42061411 divided by 1828757\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 6:37 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*t - 7793940 = -0*t. Let q = 248640 - t. Round q to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 5:15 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -520 times -805127?\nAnswer: 418666040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) + (sqrt(128) + 0)*2 - (-2*sqrt(128)*4 + sqrt(128)))**2 - (-2 + -2 + sqrt(32) + 3)**2.\nAnswer: 8*sqrt(2) + 12767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/9 + 21220*b\/9 - 56286050\/9.\nAnswer: -2*(b - 5305)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 199*d - 167*d = 144, 2*j - 4 = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (4 - 3)*-1. Suppose 35 = t - b. Is (-13*(3 + t))\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -173 + 304. Suppose 2*x + 5*c - 10 = 7*c, c + 26 = 4*x. Calculate the remainder when w is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -367.2 - -367. Let r = -11.21 - -0.21. Let u = -50 - -449\/9. Put u, r, s in ascending order.\nAnswer: r, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 3*a**2 + 14*a. Let g(z) = -1. Let q(n) = -3*g(n) + m(n). Calculate the remainder when 51 is divided by q(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3 + 95980*v**2 + 287905*v + 191930.\nAnswer: 5*(v + 1)*(v + 2)*(v + 19193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in 2, 1675\/14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3. Let k(p) = -2. Let m(z) = 5*g(z) - 7*k(z). Let t = -10 + 9. Let w(h) = -2*h**2 - 5. Determine t*w(j) + 5*m(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**5\/60 + 7*t**4\/24 + 4*t**3\/3 + 5*t**2. Let y be u(-6). Is (3 - -150*y) + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-7)*48\/(-32).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*g + 21*g + 1591 = -34*g - 434 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 7*k**2 + 12*k + 3. Let q be m(-5). Let j = 7 - 7. Put j, 3, q in descending order.\nAnswer: 3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*p = 44*p - 80. Suppose -w + 18 = w + 3*t, p = 5*t. Solve w*i = 16 - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 200768 and 2008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -265 divided by 53\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 42 + 118. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**3 + d**2 + 17*d + 20. Let p be y(-5). Factor -p*i + 18*i - 12*i**4 - 272 + 36*i**3 + 96*i**2 - 3*i**5 + 272.\nAnswer: -3*i*(i - 2)**2*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 287853*r - 54304 wrt r?\nAnswer: 287853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/14 - 0)\/(20*177\/(-4130)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 114248, 114249, 114250, 114251, 114252?\nAnswer: 114253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -12, -4, 33, -14 in increasing order.\nAnswer: -14, -12, -4, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 20 = d. Suppose y - 27 = -d. Let l = -3778 - -3821. Calculate the remainder when l is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/(x\/(x*x\/x**(-2\/13)))*x**(-34) assuming x is positive.\nAnswer: x**(-401\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 33890\/8*670\/(-225). Let x = o - -12610. Calculate the common denominator of 19\/12 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**2 - 2*f**2 + 0*f**2 + f**3 - 5*f**2 in the form b*f**3 + j + l*f**2 + q*f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 0 + 1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 332345 is divided by 65805.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 3*t**5)*(-9 + 1 + 5) + 8*t**2 - 8*t**2 + 3*t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 299257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -159 + 349. Suppose -2*o + 86 = -0*g + 3*g, 5*o - 5*g = x. Calculate the highest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -344\/5 + 68. Let p be 4 + -1 + 17\/(-6). Which is the biggest value?  (a) 0.5  (b) p  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 58*d**2 - 9*d + 513. Let o be q(58). Let r(p) = -p**3 - 10*p**2 - 3*p + 18. Calculate r(o).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -4 - (-1 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1549 - 1507. Calculate the least common multiple of o and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 4 + 3)*(0 + 1 - 3) + 20 + 16 - 16)*((3 - 4 - 1)*(0 + n**2 + 0) + n**2 + 0*n**2 - 3*n**2).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -3*v**5 - 1878*v**4 - 389484*v**3 - 26644410*v**2 + 27035775*v = 0.\nAnswer: -237, -195, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 12:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121, -275, -419, -547, -653?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 - 10*c**2 + 26*c - 111. What is the remainder when 1752 is divided by p(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, v: 1, a: 3, t: 2}. What is prob of picking 1 f and 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, -3, -1, 2 in decreasing order.\nAnswer: 2, -1, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 20*z - 19. Is a(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7207 - 230645\/32. Let u = r - 35\/32. Find the common denominator of ((-33)\/(-22))\/(30\/(-22)) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28311*x**2 + 883*x**3 + 114*x + 110*x + 463*x**3 - 290*x**3 + 28313*x**2 wrt x.\nAnswer: 6336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d**3 - 5*d**3 - 5*d**3)*(47 + 80 - 7).\nAnswer: -1800*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -457 (base 16) to base 14\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k - 4*k + 5*k)*(-658 + 45 - 421) + k - 4*k + 5*k.\nAnswer: 2070*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-5))\/(4\/40*12\/(-21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 88 + -188?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = 10*l + 2. Suppose 0*z + 4*z - 8 = -4*u, 4*u + 2*z - 14 = 0. Suppose 5*i = l*f + 57, 5*i - 59 = 2*i - u*f. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000010110 + 1?\nAnswer: -1000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5107*m + 1 - 1 - 32438*m.\nAnswer: -37545*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*a**3 + 19*a**5 + 3*a**5 + 137*a**2 + 2*a**3 - 1537*a**2 - 423*a**2 wrt a.\nAnswer: 1320*a**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9065 - (12 - 21 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (49\/(-14))\/(7\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + t = 21, 4 = 3*u - 3*t - 5. Suppose -2 - u = -o. What is the highest common divisor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 560 - 552. Solve -9 - 7 = -p*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5404*t**3 + 15*t**2 - 25*t - 7629. Let z(v) = -1799*v**3 - 4*v**2 + 7*v + 2543. Let b(w) = 2*x(w) + 7*z(w). What is the derivative of b(q) wrt q?\nAnswer: -5355*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -125a (base 15) in base 8?\nAnswer: -7506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*x**3 - x**3 + 0*x**3)*(3 + 3 - 4) - 7*x**3 + x**3 + 10*x**3)*(x + 3*x - 2*x)*(-2*x - 1 + 1 - 3*x + 6*x - x + (2 - 4 + 1)*(-1 + 1 - 2*x)).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 37989.73m in micrometers?\nAnswer: 37989730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2))**(-8))**(-18) assuming t is positive.\nAnswer: t**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 39*x**2 - 2*x + 100. Let l(u) = -9*u**2 + 3. Determine p(l(w)).\nAnswer: 3159*w**4 - 2088*w**2 + 445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + 4. Let v = 17 - m. Let g(y) = v*y - y - 2*y - 6*y. Let w(k) = -3*k**2 + 26. Calculate w(g(f)).\nAnswer: -12*f**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -3*s**4\/4 - 8*s**2. Let a(g) = 2*g. Determine a(y(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + m + 22 - 34 = 0, 5*q - 5*m - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 0 - t**2 + 5*t + 0 + 5. Let q(l) = 6*l**2 - 4*l - 8. Let s(j) = -j**2 - j. Let p(o) = q(o) + 4*s(o). Give -8*n(f) - 5*p(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -15*c + 59. Solve c + 1 = -4*p + 4*m, 5*p + 2 = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 16) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5647902 divided by -72409\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 0*x + 0*x)*(6*x - 2*x - 2*x) + (-3*x**2 + 2*x**2 + 2*x**2)*(1 + 2 - 1) - x**2 + 3*x**2 - 5*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/12*72\/64 + (-228)\/48?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -5, -6, 81\/5 in descending order.\nAnswer: 81\/5, 0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 5*t - 37, -4*u - 26 = -4*t + 18. Calculate the remainder when 50 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n + 4. Let u(h) = -h + 5. Let q be ((-10)\/15)\/((-2)\/(-6)). Let i(d) = q*o(d) + 3*u(d). What is the units digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147795 divided by -5?\nAnswer: 29559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (5*(sqrt(400) + sqrt(400)*2 + sqrt(4)))\/(-5*sqrt(64)\/sqrt(8)) + -5)**2.\nAnswer: 961\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -11. Let v be (-3)\/(-4)*268\/67. Solve 0*o = -t - o, -f = -v*t + o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -520*n + 515*n + 40. Let d(g) = 5*g + 1. Calculate the lowest common multiple of n and d(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.4, 0.8, 0.3, -12 in decreasing order.\nAnswer: 0.8, 0.4, 0.3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -609, -611, -613, -615, -617, -619?\n\"Answer: -2*f - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -2\/7  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 8 = 4*v - 6*v, -3*g - 3*v - 21 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-1)\/(-180))\/(1 + 8 - 84420\/9420) and 163\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8981*g - 4315*g - 2311*g - 2599*g in the form l*g + w and give l.\nAnswer: -18206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 42\/(-18) + (2 - -2). What is the nearest to -0.1 in 1, j, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 29*f**3 - 3*f + 6. Let v be i(3). What is v rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*sqrt(50))\/(-3*sqrt(40)\/sqrt(4)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 6 = -5*b. Let u be (3*1\/(-1))\/(b\/(-4628)). Let o = u + -1577. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*q**2\/5 + 387*q\/5 + 81\/5 = 0. What is q?\nAnswer: -9, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 2:19 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20028069 to the nearest integer?\nAnswer: 4475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 516 divided by 6\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 246 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/2 + 61*a**2\/2 - 432*a - 990.\nAnswer: -(a - 33)*(a - 30)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13 + 37 + 51 - 2 + 4 + 0 + (2 + 1 - 1)*(2 + 1 - 5) + 2 + 3 - 3)*(-9*o**4 + 2*o**4 - 4*o**4) in the form c*o + h*o**3 + d*o**4 + j*o**2 + f and give d.\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 20, 450, 1584, 3770, 7356, 12690, 20120?\n\"Answer: 58*r**3 + 4*r**2 + 12*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3666 + -3654. Which is bigger: a or -26?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -102 - -4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**4\/8 + 1131*s**3\/8 + 84789*s**2\/2 + 416845*s\/2 = 0. Calculate s.\nAnswer: -242, -5, 0, 1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4017485808121 plus -2?\nAnswer: -4017485808123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 smaller than -6604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u**5\/12 + u**4\/2 - 29*u**3\/4 - 124*u**2\/3 + 48*u = 0. What is u?\nAnswer: -8, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 5:17 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1524859007.\nAnswer: 7, 217837001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z = -48*z + 354 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 19*i**2 - 13*i + 1. Let x(f) = -8*f**2 + 7*f - 1. Let d(h) = 4*r(h) + 9*x(h). Calculate d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1222245 (base 7) in base 2?\nAnswer: -100110010011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -10011001?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 5*v = 6, -2*c = -c + 3*v. Let a = 3 + -2. Suppose -a + 3 = 2*r. Calculate the smallest common multiple of r and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x - 5 - 7 + 208. List the prime factors of a(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that i**3\/7 + 2880*i**2\/7 - 1267984*i\/7 = 0.\nAnswer: -3268, 0, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1154 divided by -1?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*q - 2*z, -5*z + 5 = 2*q - 11. Suppose f = -q*f + 18. Solve -2*v = f*a, 5*a = -2*v + v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 115789, 115752, 115715, 115678?\n\"Answer: -37*p + 115826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*b**3*d*y**2 - 12884*b**3*w*y**3 + 2*b**2*d*w*y**3 - 2*b**2*d*y**2 + 320*b**2*y**3 - b*d*w*y + b*w*y**3 wrt b?\nAnswer: -48*d*y**2 - 77304*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1458804 divided by -50?\nAnswer: -729402\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -9322.\nAnswer: -3\/4661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 8) + 23 + -31.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23.8 - 6.2. Let a = p - -30.1. Which is greater: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -h + 14, -22 = -f + 3*h - 0*h. Let c be ((-8)\/f)\/((-2)\/8). Solve d + 4*k - 16 = -4, 3*d = 5*k + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/348 and -59\/492?\nAnswer: 14268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 5, 1, -2 in descending order.\nAnswer: 7, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3142 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000063046602 to 7 decimal places.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of 2*g**5\/5 + 17*g**4\/12 - 2*g**3\/3 + 50*g**2 + 2*g - 296. What is the second derivative of b(h) wrt h?\nAnswer: 48*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9209303 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284 = 5*f - 481. Let c = f - 289\/2. What is the common denominator of -61\/3 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1601223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4714, 9422, 14108, 18760, 23366, 27914, 32392?\nAnswer: 36788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 41 + 54 = 0. Let u = 229 - v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4623 - 4085. Calculate the highest common factor of b and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 315 + -313. Sort 7, 17, g in descending order.\nAnswer: 17, 7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(44)\/sqrt(4))**2 - ((sqrt(11) - (sqrt(11) + sqrt(11)*2)**2*4) + sqrt(11)))*-2 - 3*(sqrt(396) + (sqrt(396) + -2)*-4)**2) + 1.\nAnswer: -11697 + 868*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 6:52 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 1113 and -621 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2117\/5 - -2118\/5. Factor 1\/5*c**3 - l*c**5 + 0 + 0*c**2 + 0*c**4 + 0*c.\nAnswer: -c**3*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(6\/13))\/u)**(-1\/59))**47 assuming u is positive.\nAnswer: u**(282\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.895619 and -3.\nAnswer: 2.686857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n**2 - 2*n**2 - 2013*n + 2*n**2 - 2011*n + 3910*n + 2390 wrt n.\nAnswer: -4*n - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 16 - 11)*(6*a - 21*a + 102*a) + 3*a - 8*a + 3*a + (-4*a - 3*a + 6*a)*(-4 + 3 + 0) to c + l*a and give l.\nAnswer: -1741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19501*p**6 - p**5 - 10*p**4 - p**2 + 1648824*p - 1?\nAnswer: 2340120*p**3 - 60*p**2 - 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33.78 + -0.78. Let m = w + -31. Let n = -0.05 - 0.05. Sort n, 1\/2, m in ascending order.\nAnswer: n, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**3 - c**2 + 3*c + 1. Let t(o) = -34*o**3 - 5*o**2 + 18*o + 1. Determine -t(u) + 6*x(u).\nAnswer: 58*u**3 - u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1*(0 + 6*(-1 + (sqrt(288) + 0 + 3 - (4 + sqrt(288)*1)))))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 178 = -71*d - 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, e: 1, x: 8, q: 2}. What is prob of sequence bb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -543*y + 10335. Calculate the smallest common multiple of g(19) and 331\/5 + 7\/(-35).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 6:30 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.2 in 0.027, 1\/3, 38\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/20*(-5)\/4. Let q = 0.6 + -2.6. Which is the biggest value?  (a) r  (b) -3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**5 + 0*v**5 - 2*v**5 + (-2*v - 3 + 3)*(5*v**4 + 0*v**4 + 0*v**4) - v**4 + 2*v**5 + v**4.\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 4. Let d = 7 + s. Let o be (1\/(-15))\/((-3)\/9). Sort o, d, -5 in descending order.\nAnswer: d, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.11 in 4, -672, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n - 385 = -242 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 494*q**3 - 9482*q**2 + 9482*q**2 + 985*q**3 + (3*q**3 + 0*q**3 - q**3)*(-2 + 1 - 3) to the form z + v*q + w*q**3 + m*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -44*r**3 + 221*r**2 - 6*r + 3. What is h(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/45 and -59\/903.\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 181 + -92. Suppose -12*k + n - 101 = 0. Let m(d) = -6*d**3 - d**2 + d + 1. Let g(i) = i**2 - i - 1. Determine k*m(s) - g(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 527 + -234. Suppose -5*s = -x - x + z, 0 = x - 5*s - 139. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 3*p = -3*j - 9, -j + p - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21839032 divided by -4.\nAnswer: -5459758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1765 is divided by 76?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - -4. What is the remainder when (o - -10) + 2 + 1 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -84 + 124. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212222211 (base 3) to base 8.\nAnswer: 42123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122322012 (base 4) to base 10.\nAnswer: -110214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of 1\/3*t**4 + 0 + t - 1\/40*t**5 + 0*t**2 - 2\/3*t**3. Let p(i) be the second derivative of x(i). What is p(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-48)\/(-10)*(-210)\/(-9) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 8, -2*t - z = -0*z - 196. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-26)\/(-10) - 201\/335. Let h(w) = 4*w + 201*w**2 + 203*w**2 + 196*w**2 - 603*w**i. Let j(k) = -6*k. Give j(h(f)).\nAnswer: 18*f**2 - 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -22. Let f(g) = g + 60. Let q(t) = -f(t) - 2*i(t). Let x(w) = -w - 16. Let r be x(-7). Calculate q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2666, 2696, 2746, 2816, 2906, 3016?\nAnswer: 3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 12*t**2 + 2*t + 5. Let i(r) be the second derivative of r**4\/2 + r**3\/6 + r**2 - 287*r. Determine 9*i(y) - 4*p(y).\nAnswer: 6*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -3.731678?\nAnswer: -0.7463356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2496*g + 698*g + 307*g + 1459*g + 456*g.\nAnswer: 5416*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144 is divided by (-858)\/(-24) - 45\/(-36)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 1 = -2*j. Suppose -5*t + 1 = 26, -5*r = 2*t - 15. Let p = r - j. Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38960 (base 11) to base 9.\nAnswer: 84387","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5710, 5748, 5786, 5824, 5862, 5900?\n\"Answer: 38*o + 5672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 3*m + 7, z + 2*m - 9 = -2. Suppose l - 797 = 2*r, l - z*r + r - 797 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5447093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -683*n + 16676. What is v(24)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-22)\/(-28) + (-2)\/7. Let h = -0.57 + 0.07. Put t, 0.2, h in descending order.\nAnswer: t, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1003.5 - -1004. Let u = -4 + 0. What is the third smallest value in 1, y, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/(-3) + 1 + 18. Suppose 29 = 5*y - k. Let x = y + -7. Solve 0 = -x*f - 13 + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 2\/3  (c) -58  (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 1012021000112?\nAnswer: -1012021000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 66764\/15, 1 in increasing order.\nAnswer: 0.4, 1, 66764\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*k**2 - 30*k**4 + 1 - 4 + 30*k**4 + 0 + 94*k**4 as z*k + l*k**4 + r + w*k**2 + b*k**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from hqqusvh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -144*w - 21460. What is u(-149)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*m - 207*m + 94*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -173\/285 + 9\/19. Let n = -0.1 - -0.1. Suppose -7 = 3*v + 5. Which is the closest to 0?  (a) m  (b) v  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4.316 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -t**4\/4 + 26*t**3\/3 + 29*t**2 - 54*t - 139. Let z be g(28). Solve 0 = 2*d + z*m - 0*m + 12, 4*m = -2*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 4. Let q(i) = -i**3 + 5*i**2 - 3*i + 67. Let c be 122\/20 + (-24)\/240. Calculate the smallest common multiple of q(c) and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 1 + (105 - 78) - 36 - -71?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 169 = 5*u. Let s = u - -42. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.659 * 0.09.\nAnswer: 0.05931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26237792 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -21. Suppose -3 = -6*z + l. Which is the nearest to -0.1?  (a) -0.07  (b) z  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 5*u. Let h be d(5). Suppose h = 3*g - 0 - 6. Put 3, g, 5 in increasing order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 5*c**2 - 17*c**2 + 8*c**2. Let h(t) = 3*t**2. Determine a(h(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -74*m - 1560. What is the hundreds digit of l(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (72\/15)\/(26\/130). Let b(m) = 15*m + 4. Let x be b(4). Calculate the greatest common divisor of u and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -5*z - 3*m, 4*z - m = -0*z - 3. Let a be -3*(1 - 2) - (-150)\/(-54). Factor z + 4\/9*c - 2\/9*c**2 - a*c**3.\nAnswer: -2*c*(c - 1)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + (94 - 119 - (-3 + 30)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*p + 130 + 35 = -22 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*n = 0, -3*n = -3*k + 2*n + 2. Let d(g) = -37*g**3 + g**2. Let t be d(k). Let v = -16 + t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -18963.167?\nAnswer: 18963.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3976807, -3976776, -3976745, -3976714?\n\"Answer: 31*l - 3976838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a - 10. Let n be w(4). Suppose n*j = -2*c - 0*j - 86, 0 = 5*c - 4*j + 251. Let h = 26 - c. List the prime factors of h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -450*f**5\/11 + 1317930*f**4\/11 - 87648298*f**3 - 1222973218*f**2\/11 - 274693360*f\/11 - 17169800\/11 = 0.\nAnswer: -1, -2\/15, 1465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**3\/5 + 17*q**2\/5 - 1132*q\/5 + 1472\/5 = 0 for q.\nAnswer: -23, 4\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*l**4 - 165*l**3 + 160*l**2 + 60*l.\nAnswer: 5*l*(l - 3)*(l - 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 12 + 5)*(-1 + 3 - 3)*(1 - 2 + 4)*(-39*g**5 + 0*g**5 + 24*g**5).\nAnswer: -135*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -7729336 in ascending order.\nAnswer: -7729336, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 17. Let r be 8\/6*12\/g. Let h(d) = 4*d**2 + d - 5*d - 2 - 3*d**r. Calculate h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 + 40*y**2 + 35*y.\nAnswer: 5*y*(y + 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(64)\/(sqrt(2) - sqrt(22)\/sqrt(275)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46*f - f**4 - 46*f)*((5 - 3 - 3)*(-54 + 52 + 36) - 2 + 0 + 4).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 13*n**2 + 4. Let m(q) = -q. Determine p(m(z)).\nAnswer: 13*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -23 - -29 - (-2 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 8, 37, 92, 179, 304, 473, 692?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 12:01 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + l)*(1127 + 757 + 572)*(2 + 3 - 6)*(0 + 3*l + 0) in the form w*l + a*l**2 + z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**2 + 23*q + 8. Calculate b(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4873954.\nAnswer: 2, 2436977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.427 + 0.027. Which is the third smallest value?  (a) s  (b) -2\/15  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2 = 12. Suppose 3*k - 3*s - 27 = 0, k - 4*s - 32 = -p*k. Sort k, 3, -1 in increasing order.\nAnswer: -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*d**2 + 5076*d\/5 - 234\/5.\nAnswer: -2*(d - 39)*(65*d - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -8*r**3\/3 + r**2\/2 - r - 166. Determine m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2902835*n**4 - 2910921*n**2 wrt n.\nAnswer: 69668040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 - 33. Let z = m + 27. Let y = z - 24. Which is the fourth smallest value?  (a) y  (b) -14  (c) 3  (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - 1 - (3 - 4 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 5:19 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -54.0672 and 176527.79.\nAnswer: 176473.7228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6, 7, 20, 33?\n\"Answer: 13*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 + 16\/((-160)\/30) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 21 = 1. Solve -t*v + 5 = -4*w, 3*v + 3 = 4*w + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -2. Suppose l*i - 98 = 22. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, o: 2, s: 1, y: 3, d: 1, w: 4}. Give prob of sequence ysoy.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*y + 25*y + 66*y - 46*y = 608 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffifofffooffffi. Give prob of sequence io.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (59 - 1 - (-495 - -571)) + 85 + 1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/144214811 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 13\/(325\/(-10))*(-30)\/2. Suppose -8 = -5*t - 3*l - 34, -5*t - 22 = l. Let q be (-1)\/(-6) + t\/(-8). Is q at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 12. What is the second derivative of -5*a**5 - 137*a - a**d + 142*a wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 20)*25\/75. Let s be 4\/(16\/a)*(-252)\/4347. What is the closest to 0 in 1\/2, s, -3\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/(-182))\/(((-1440)\/1200)\/((-56)\/10)).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -0*p + 5. Which is the closest to -3\/4?  (a) p  (b) 0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1332844240 divided by 5\nAnswer: 266568848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1787775262 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 46336387441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 8 = 24. Let z = -13 + 28. Calculate the remainder when z is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a - 6. Let n be h(9). Suppose -5*s + 23999996 = -m, 2*m - 14400008 = -n*s - 0*m. 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: What is the value of 17 - 1110\/36 - 682\/(-124)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3*z + 3 - 6)*(3 + 1 - 5) in the form c + b*z and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 2*v + 4 + 12, -3*q - v + 32 = 0. Let f(s) = -q*s + 18*s - 5*s. Let n(g) = 4*g + 1. Give 3*f(p) - 2*n(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 2286  (b) -0.4  (c) 45  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 5*h + 2, 1 = -3*h - q - q. Let v = h + 31. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by ((-25)\/2)\/(15\/(-30)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2. Let j = 62005\/4044 + 1\/1348. Let i(t) be the first derivative of -j*t**3 + 8 + 0*t**2 + 0*t. Give q(i(o)).\nAnswer: 2116*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -0.0127706\nAnswer: 11.9872294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 164*u - 25 = 162*u, 58 = h - 9*u for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2c1 - -370c?\nAnswer: 39cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**2 - 4134*k + 58464 = 0. What is k?\nAnswer: -1392, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {y: 1, m: 14}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**3)**(-43))**(-9)\/(i**(1\/5)*i*i\/((i\/i**0*i)\/i)*i)**(2\/7) assuming i is positive.\nAnswer: i**(40613\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -49*d**3 - 4*d**2 - 4*d - 61. Let t(o) = 5*o**3 + o**2 + o - 1. What is 4*t(s) + y(s)?\nAnswer: -29*s**3 - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/((sqrt(15)\/sqrt(5) + sqrt(3) + sqrt(3))*-5).\nAnswer: -sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-207)\/6*(-1 - 3). Let f = 968\/7 - m. What is the third biggest value in -1\/2, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.188 + -10.788. Let c = -8.6 - g. Sort -0.5, c, -3\/8, -0.4.\nAnswer: -0.5, -0.4, -3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 396952418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, h: 1, e: 2}. What is prob of sequence hee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3539172 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (122\/(-600) + 65\/780)*((-27)\/(-6) + -2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2656, -2668, -2682, -2698, -2716, -2736?\n\"Answer: -q**2 - 9*q - 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 1 + 353\/(-7). Let d = -51 - z. Let s = -12.788 + 14.788. What is the closest to -2\/11 in -4, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14480586?\nAnswer: 2, 3, 229, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10024732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -777703, -1556274, -2334845?\nAnswer: -3113416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, m: 6, u: 1}. What is prob of sequence ua?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 8*o**2 + 16*o - 21. Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = i - 9, 0 = b - 1 - 0. Suppose d + 9 = i. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z - 2*u + 29, z - 5*u - 46 = -51 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2371 + -1235. Suppose -2*i + w = -411, 5*i = w + f - 116. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 454717 is divided by 45470.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 5*w + 20. Suppose 76*u + 10 - 22 = 74*u. Give v(u).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**2 - 3*r - 3. Let x(c) = 10*c**2 + 8*c + 8. Let w(y) = 3*x(y) + 8*z(y). Let a(k) = -62993 + 9*k + 62993. Determine a(w(b)).\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*l - 4*l + 4*l)*(-31 + 1 - 88) to i + o*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**2 - 391*p + 2*p**2 + 383*p = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b*i*z**5 - 172390*b*i*z**2 + b*i*z - 24197*b*z - 7*i*z wrt z.\nAnswer: -40*b*i*z**3 - 344780*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-6)\/(-54)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -19*x + 41. Let d(l) = -2. Let w(z) = 2*d(z) + y(z). Let f(b) = -208*b + 406. Let q(g) = 6*f(g) - 68*w(g). Differentiate q(r) wrt r.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.04 and 72?\nAnswer: 72.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1*2)\/(2\/(-4)). Suppose 5*o - 26 - 324 = 5*w, -12 = -g*w. What is the remainder when o is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9599444 - -2821.\nAnswer: 9602265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -7*f + 16*f - 4*f - 6*f. Let r(i) = 23*i + 8. Let d(g) = -8*g - 3. Let p(t) = 8*d(t) + 3*r(t). Determine h(p(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -6 - (5\/((-900)\/(-1254)) + (-32)\/192)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 178*c**3 + 10*c**2 - 12*c + 1. Let h be b(1). Is 175 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 10*s**2 + 7*s + 19. Let t be i(9). Suppose -5*z - 2*k = 3, 0 = 5*z - 4*k + k - 17. Calculate the highest common divisor of z and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**3 - 215*c**2*s - 36*s - 1 wrt c.\nAnswer: -3*c**2 - 430*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2142377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 100311.078.\nAnswer: 200622.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-122)\/(-2))\/(2 - (-30)\/(-18)). Suppose -1491 = -6*b - w. Calculate the remainder when b is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 1004 - 1040 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**3 - 2*v**3 + 3*v**3)*(-84 - 92 - 10).\nAnswer: -186*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 191735183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-12)*(-3 + 1))\/((-7)\/315)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 1001001010011100?\nAnswer: 1001001010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101153 + 42207 = -14*s. What is s rounded to the nearest 100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00167933097 rounded to 7 dps?\nAnswer: -0.0016793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/8, -55, -0.5, 0.07 in decreasing order.\nAnswer: 3\/8, 0.07, -0.5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -40 + (34 - (15 + -4) - 15)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*c = -25*c + 36, -5*j - 2*c = -34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 409098*-25.\nAnswer: -10227450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -1. Let n be (s - 0)\/(2\/(-6)). What is the third derivative of -2*z**2 + z**2 + n*z**2 + 2*z**3 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqqs. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -9*q - 2. Let g = -1 - 1. What are the prime factors of w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of 9*w**4 + 45*w + 28. What is the derivative of m(j) wrt j?\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.142 minus 37582258?\nAnswer: -37582258.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1776303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 3*g + 2*g)*(205*g**4 - 569*g + 1126*g - 555*g).\nAnswer: 410*g**5 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 + 3*y**2 + y**2)*(-1 + y + 1) - 11 + 11 + 15*y**3 - 25*y**3 + 80*y**2 - 80*y**2.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31\/6 + -161\/30. Which is the closest to 2\/7?  (a) 0.1  (b) j  (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(13) + -2)*-5 + -4 + sqrt(26)\/sqrt(2) - -2*(sqrt(208) - -3*sqrt(208)))**2.\nAnswer: 336*sqrt(13) + 10227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 51017245, 102034494, 153051749, 204069016, 255086301?\n\"Answer: m**3 - 3*m**2 + 51017251*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 164350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 b when four letters picked without replacement from {b: 2, i: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/8 and 55\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1152\/(-144)*1\/(6\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -903*w**4 - 16581\/4*w**3 - 4944*w**2 - 228 - 147\/4*w**5 - 1893*w = 0.\nAnswer: -19, -4, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20389417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006709 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16779 + 18238771\/1087. Let o = 31507\/8696 - k. What is the common denominator of o and -59\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 14*y**2 - 2*y + 1. Let w be q(1). Suppose w = -3*l + 19. Suppose -l*v = 4*a + 10, -5*a = -8*a + 5*v - 40. Let s(f) = 2*f + 6. Calculate s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8476*a**2 + 25421*a**2 - 8478*a**2 - 8466*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 739779983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12921 and 2537?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2983804*g. Let i(s) = 5*s**2. What is c(i(o))?\nAnswer: 14919020*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*l**2 - 113*l - 1 + 58*l + 55*l.\nAnswer: 15*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(432) + sqrt(432) + -2 + -4)**2 + -1.\nAnswer: -336*sqrt(3) + 1776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n**3 + 4*n**2 - 3*n. Suppose -4*h = -5*h - 12. Let c be (-40)\/(-16)*h\/(-10). Suppose 4*j - f - 7 = 0, 5*j - c*j - f = 3. Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -2. Let v be (0 - -6)\/(-2) + 13. Suppose 15*j + v*j = 250. What is the least common multiple of o and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9192811 or -9192814?\nAnswer: -9192811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/9 - 16\/(-16). Let o = 1343 + -1341. Let 1\/9 + a*b**o + 2\/9*b = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8741, -20963, -33173, -45365, -57533, -69671, -81773?\nAnswer: -93833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7152 is divided by 465.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 12:45 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-2))\/((600\/(-180))\/((-5)\/(-6)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8601.\nAnswer: 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 8*h + 7. Let n(r) = -r + 1. Let u be n(3). Let l(q) = -5*q - 3. Let b be l(u). Let j = b - 13. Determine s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 6*n**2 + 4*n + 7. Suppose 0 - 10 = -g. Suppose -4*d = -2*b - g, -b - 3*d - 5 = -0*d. Determine h(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6472, 12769, 19068, 25369, 31672, 37977, 44284?\n\"Answer: a**2 + 6294*a + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -49174 - -74229. List the prime factors of q.\nAnswer: 5, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1684 by -421.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/(-9))\/(84\/108). Factor 12\/7*b**2 + j*b**3 - 16\/7 + 0*b.\nAnswer: 4*(b - 1)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 103314086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -37*p**3 + 25*p**2. Let d = 87 + -70. Let k(o) = 109*o**3 - 76*o**2. Let b(v) = d*f(v) + 6*k(v). Find the third derivative of b(h) wrt h.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 8*r - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7249\/5 + -1457. Let r = -139\/20 - i. Factor 1\/4 - 1\/2*h + r*h**2.\nAnswer: (h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1136 - 5\/((-25)\/20). Let w = z - 1828. Let j = w + 1737. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71 - -832359.\nAnswer: 832430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1405241 or 1405238?\nAnswer: 1405241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 - (-19003)\/(6 + -7). What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -48 - -52. Suppose -324 = -f - 0*f - v*h, h = 3*f - 933. Suppose -2*d - 2*i = -220, -i + 4*i + f = 3*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 6*y = 8*y + 4, -5*h + 5*y + 10 = 0. Suppose d - 3*d - 388 = 3*p, h = -5*d + 20. What is the units digit of p\/(-30) + (-4)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15268281*n**4 + 13414*n**2 - 357*n wrt n?\nAnswer: 366438744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/384972 and -41\/6.\nAnswer: 384972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -5*u**2 + 50*u + 32. Let v be d(14). Let b = -222 - v. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 - 54. Let v = -201 + 1006\/5. What is the biggest value in v, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 3*x**2 + 2*x + 5. Let h be b(-4). Let a be (-6)\/4 - 85\/10. Let c = a - h. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*x + 276571 - 1171360. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 4*b = 2*f - 6760, 5*b - 15 = 0. Suppose -16*n + f = -1673. List the prime factors of n.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - -194.0924194.\nAnswer: 205.0924194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + 1 + (952 - 955).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1055071234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 325\/2601 + -4\/289. Sort b, 0.17, 3.\nAnswer: b, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.8 + -0.75. What is the second smallest value in 23, b, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(11\/4))**10*(t*t**(19\/2))\/(t**(2\/25)*t) assuming t is positive.\nAnswer: t**(923\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 924*r**2 + 925*r**2 - 2766*r**2 + 915*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 341453 + -16036?\nAnswer: 322414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + y + 17 = 0, -97*p + 99*p + 2*y - 14 = 0. Solve -4*f = 20, p*h - 8*f = -3*f + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 32*f + 3. Let v be b(1). Suppose -v = 4*u - 9*u. Let o = 15 + u. Calculate the remainder when 63 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 x, and 1 s when three letters picked without replacement from {v: 3, x: 3, a: 1, u: 6, s: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 264203030 and -0.5.\nAnswer: -132101515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: a92 (base 11) to base 8\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4*s + 22. Determine d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of 3*q**3\/2 - 3*q + 2. Let w(p) be the first derivative of n(p). Let y(m) = -713*m**2 - 740*m**2 + 1454*m**2. What is w(y(r))?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14119*g**6 + 2*g**4 - g**3 - 91216*g**2?\nAnswer: 1694280*g**3 + 48*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9591 - 2758. Let m = p + -833. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 1870011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(363)*-6.\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4721, 19\/4, -4, 4.2 in descending order.\nAnswer: 19\/4, 4.2, -4, -4721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29*o + 4 + 11 - 20)*(-3*o**3 + 2*o**3 + 0*o**3) - 6*o**4 + o**4 - o**4 to the form n*o**4 + a*o + l + y*o**3 + f*o**2 and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 8509000 to the nearest one hundred thousand.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4397468253, 4397468254, 4397468255?\n\"Answer: d + 4397468252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1031\/7 - 147. Let u(p) = -p**3 - 2*p**2 - 2*p - 2. Let z be u(-2). Are s and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -588 - -1304. Let u = c + -716. Let u*d - 4\/3*d**4 + 0 + 4\/3*d**2 + 0*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2348624 divided by -587156?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/120 and 23\/105640.\nAnswer: 316920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2  (b) -0.04  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/4)\/(3\/20). Suppose 3*y = t - 15, -2*y + 4*y = -5*t - g. Solve -b = -t*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 923 + -8251\/9. Is p at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {c: 2, t: 3, p: 1, y: 2, l: 3, b: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65 + 137. Let z = 82 - m. Suppose -z = j + j, -t + 106 = -3*j. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 6*r**2 + 8*r - 1. Let w(j) = 4*j**2 - 2*j - j**3 + 5*j + 0*j**3 - 5. Let m be w(4). Is 5 a factor of s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -338, -1346, -3030, -5390, -8426, -12138, -16526?\n\"Answer: -338*x**2 + 6*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-220))\/(76\/(-380))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(125)*2 + 2.\nAnswer: 2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -375395, -375393, -375391?\n\"Answer: 2*m - 375397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.05, -124.886, 0.2?\nAnswer: -124.886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 46*j**2 + 416*j - 455. Determine f(-32).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*f**4 + 2*f - 2*f**2 + 2*f**3 - 18*f**4 - 3 + 3 in the form p*f**3 + y*f**4 + u*f + c*f**2 + x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-4 - (-3 + -25))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/8 - 101\/(-4). Let a = -9 + m. Suppose -58 + a = -3*f. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h**2 - 27. Let d(p) = -2*p - 2. Determine n(d(t)).\nAnswer: 28*t**2 + 56*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(-22))\/((-13)\/(9438\/729) - (1 - 2))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -204489*m**2 + 66*m - 276. Let v be u(-3). Round v to the nearest 10000.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(18\/7)*c**(-24) assuming c is positive.\nAnswer: c**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - 485*s**2 - 2*s - 970. Give h(-485).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -10\/519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 37296036731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (165\/20)\/((-3)\/(-16)). Suppose 9*u = 13*u - o. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*o**2*z - o*q*z + o*q + 158785*o*z + 37962*q - 1789*z wrt o?\nAnswer: -14*o*z - q*z + q + 158785*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((24\/((-4)\/1))\/((-264)\/1221))\/(3\/4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 99 - 97. Suppose 5*p - 25 = 10*p. Sort -11, p, f in decreasing order.\nAnswer: f, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 24409*d - 1149266. What is f(-47)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/(-9)*(3 - 0). Solve 0 = -x*z - 9 + 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 13*q - 16*q + 164 = 0, -11*a + 4*q = 7*q + 496 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79212103.\nAnswer: 79212103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 + 6. Let r = -4 - x. What is the smallest common multiple of r and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*z + 4, 4*o = 3*o + 2*z + 2. Let v(p) = p**o + 63 + 75 - p - 138 + 3*p. Determine v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 7*h**2 - h - 7. Let w be m(-7). Suppose 4*a + 8*a - 144 = w. Solve 3*b + a = 6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1331980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7956 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6093, 12695, 30627, 65553, 123137, 209043, 328935, 488477?\nAnswer: 693333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**3 - 2*r**2 - 2*r. Suppose -17*s + 15*s = -8. Let g(i) = -5*i**3 + 5*i**2 + 5*i. Determine s*g(p) + 9*f(p).\nAnswer: -2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 10*c**2 - 2*c - 4. Suppose 2*u + u + 5 = w, 4*w = -2*u - 50. Does 7 divide z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 3\/46  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-22)\/55)\/2)\/(-6*(-6)\/(-40)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (((-9)\/80)\/(129\/1892))\/((-138)\/22) and 46\/135.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}